Saskatchewan Curriculum

Transcription

1 (K to 9) Supported by independent evidence-based research practice. Follows provincial curricula Powerful reporting Student centred

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3 Content Kindergarten 02 Grade 1 03 Grade 2 05 Grade 3 07 Grade 4 10 Grade 5 13 Grade Grade

4 Mathletics the Saskatchewan Curriculum The education team at Mathletics is committed to providing a resource that is powerful, targeted most importantly relevant to all students. Mathletics includes well over 1200 individual adaptive practice activities ebooks available for all grades. Our team of education publishers have created a course that specifically follows the Saskatchewan curriculum. You can be assured that students have access to relevant targeted content. Strs, sub-strs learning outcomes of the curriculum are supported with activities, each with pre post assessment. What s more, Mathletics contains an extensive library of ebooks for use on screen or as a printable resource that are also mapped to the requirements of the Saskatchewan Curriculum. This document outlines this mapping acts as a useful guide when using Mathletics in your school. Rene Burke CEO, 3P Learning Canada Engage Target Diagnose Assess Report Fluency Mobile 1 3P Learning

5 Kindergarten Str Outcome Outcome Description Activities ebooks Shape Shape NK.1 NK.2 NK.3 NK.4 NK.5 PK.1 SSK.1 SSK.2 Say the whole number sequence by 1s starting anywhere from 0 to 10 from 10 to 0 Recognize, at a glance, name familiar arrangements of 1 to 5 objects, dots, or pictures. Relate a numeral, 0 to 10, to its respective quantity. Represent the partitioning of whole numbers (1 to 10) concretely pictorially. Compare quantities, 0 to 10, using one-to-one correspondence. Demonstrate an understing of repeating patterns (two or three elements) Use direct comparison to compare to objects based on a single attribute such as: Sort 3-D objects using a single attribute. How Many? Count to 5 Order s to 10 How Many? Count to 5 Order s to 10 Matching s to 10 Ordinal s Making Equal Groups Making Equal Groups More or Less? Simple Colour Missing it! Complete the Pattern Compare Length Everyday Length Which Holds More? Balancing Act Sort It Collect the Shapes Match the Object Same Different s s s Operations with s s Measurement Shape Shape SSK.3 Build describe 3-D objects. Match the Solid 1 Shape 3P Learning 2

6 Grade 1 Str Outcome Outcome Description Activities ebooks N1.1 Say the number sequence, 0 to 100 N1.2 N1.3 N1.4 N1.5 N1.6 N1.7 Recognize, at a glance, name familiar arrangements of 1 to 10 objects, dots, pictures. Demonstrate an understing of counting Represent describe whole numbers to 20 concretely, pictorially, symbolically. Compare sets containing up to 20 elements to solve problems Estimate quantities to 20 by using referents. Demonstrate, concretely, physically, pictorially, how whole numbers can be represented by a variety of equal groupings with without singles. Counting Forward Counting Backward Counting Forward Counting Backward 1 to 30 Order s to 20 Make s Count Before, After Between to 20 Before, After Between to 100 Before, After Between to 20 Before, After Between to 100 Before, After Between to 20 Before, After Between to 100 Divide Into Equal Groups s s s s s s Operations with N1.8 Identify the number, up to 20, that is one more, two more, one less, two less than a given number. Divide Into Equal Groups Operations with N1.9 Demonstrate an understing of addition of numbers with answers to 20 the corresponding subtraction facts, concretely, pictorially, physically, symbolically by: Add to 18 Model Addition Adding to 5 Model Subtraction Adding to make 5 10 Adding to Ten All about Ten All about Twenty Addition Facts Subtracting from 5 Subtracting from Ten Subtraction Facts to 18 Operations with 3 3P Learning

7 Grade 1 Str Outcome Outcome Description Activities ebooks Shape Shape Shape P1.1 P1.2 P1.3 P1.4 SS1.1 SS1.2 SS1.3 Demonstrate an understing of repeating patterns (two to four elements) by: Translate repeating patterns from one form of representation to another. Describe equality as a balance inequality as an imbalance, concretely, physically, pictorially (0 to 20). Record equalities using the equal symbol. Demonstrate an understing of measurement as a process of comparing Sort 3-D objects 2-D shapes using one attribute, explain the sorting rule. Replicate composite 2-D shapes 3-D objects. Simple Colour Missing it! Pattern Error Simple Colour Missing it! Pattern Error Balancing Act Balancing Act Match the Solid 1 Collect Simple Shapes Collect the Shapes Collect the Objects Collect the Objects 1 Sort It Same Different Collect the Shapes Collect the Objects Collect the Objects 1 Collect More Shapes Sort It Same Different Collect the Shapes Collect the Objects Collect the Objects 1 Collect More Shapes hips hips Measurement Measurement Shape Shape Shape 3P Learning 4

8 Grade 2 Str Outcome Outcome Description Activities ebooks N2.1 N2.2 Shape P2.1 P2.2 P2.3 SS2.1 Demonstrate understing of whole numbers to 100 Demonstrate understing of addition (limited to 1 2-digit numerals) with answers to 100 the corresponding subtraction Demonstrate understing of repeating patterns (three to five elements) Demonstrate understing of increasing patterns Demonstrate understing of equality inequality concretely pictorially (0 to 100) Demonstrate understing of non-stard units for linear measurement Counting by Twos Counting by Fives Counting by Tens Count by Tens Arranging s Line Order Making Big s Count Lines Counting Forwards Going Down Concept of zero How many Blocks? Simple Subtraction Complements to Complements to 10, 20, 50 Subtract s Columns that Add Columns that Subtract Related Facts 1 Adding In Any Order Add s: Regroup a Ten Subtract s: Regroup Fact Families: Add Subtract Add Subtract Using Graphs Missing it! Pattern Error Balancing Act Increasing Balancing Act Comparing Length s Operations with hips hips Measurement Measurement 5 3P Learning

9 Grade 2 Str Outcome Outcome Description Activities ebooks Shape SS2.2 Demonstrate understing of nonstard units for measurement of mass Everyday Mass Measurement Shape SS2.3 Describe, compare, construct 3-D objects Collect the Objects Shape Shape SS2.4 Describe, compare, construct 2-D shapes Collect the Shapes Collect More Shapes Shape Shape SS2.5 Demonstrate understing of the relationship between 2-D shapes 3-D objects. Relate Shapes Solids Shape Statistics SP2.1 Demonstrate understing of concrete graphs pictographs. Pictographs Comparing Groups of Objects Making Graphs Tallies Chance Data 3P Learning 6

10 Grade 3 Str Outcome Outcome Description Activities ebooks N3.1 N3.2 N3.3 Demonstrate understing of whole numbers to 1000 (conc retely,pictorially,physically,orally, in writing, symbolically) Demonstrate understing of addition of whole numbers with answers to 1000 their corresponding subtractions (limited to 1, 2, 3-digit numerals) Demonstrate understing of multiplication to 5 x 5 the corresponding division statements Which is Smaller? Which is Bigger? Model s Ascending Order Descending Order Counting by Twos Counting by Fives Counting by Tens Skip Counting Place Value to Thouss Magic Mental Addition Magic Mental Subtraction Complements to Commutative Property of Addition Complements to Columns that Add Subtract s: Regroup Column Addition Column Subtraction Strategies for Column Addition Add s: Regroup a Ten Add Multi-Digit s 1 Fact Families: Add Subtract Problems: Add Subtract Add Two 2-Digit s Compensation - Add Compensation - Subtract Fill the Jars Making Equal Groups Groups of Two Groups of Three Groups of Four Groups of Five Dividing Twos Dividing Threes Dividing Fours Dividing Fives Reading Understing Whole s Addition Subtraction Multiplication Division 7 3P Learning

11 Grade 3 Str Outcome Outcome Description Activities ebooks N3.4 P3.1 Shape P3.2 Shape Shape Shape Shape SS3.1 SS3.2 SS3.3 SS3.4 Demonstrate understing of fractions Demonstrate understing of increasing decreasing patterns Demonstrate understing of equality by solving one-step addition subtraction equations involving symbols representing an unknown quantity. Demonstrate understing of the passage of time Demonstrate understing of measuring mass in g kg Demonstrate understing of linear measurement (cm m) Demonstrate understing of 3-D objects by analyzing characteristics including faces, edges, vertices. Halves Quarters Thirds Sixths What Fraction is Shaded? Comparing Fractions 1 Model Fractions Fractions Count Forward Count Backward Increasing Decreasing Find the Missing 1 Missing s Missing s: Variables Missing Values Days of the Week Months of the Year Using a Calendar Hour Times Half Hour Times Tell Time to the Half Hour Everyday Mass How Heavy? How Heavy? How Long is That? Measuring Length Centimetres Metres Perimeter of Shapes Perimeter Faces, Edges Vertices Faces, Edges Vertices Count Sides Corners Collect the Objects Relate Shapes Solids Fractions Grade 2 hips Grade 2 hips Measurement Measurement, Shape Position 3P Learning 8

12 Grade 3 Str Outcome Outcome Description Activities ebooks Statistics Statistics SS3.5 SP3.1 Demonstrate understing of 2-D shapes (regular irregular) including triangles, quadrilaterals, pentagons, hexagons, octagons Demonstrate understing of first-h data using tally marks, charts, lists, bar graphs, line plots (abstract pictographs) Collect More Shapes Collect the Shapes 2 Collect the Polygons How many Faces? How many Faces? How many Edges? How many Edges? How many Corners? Faces, Edges Vertices Faces, Edges Vertices Tally Charts Column Graphs Reading from a Column Graph Analyzing Data Making Graphs Bar Graphs 1 Pictographs, Shape Position Chance Data 9 3P Learning

13 Grade 4 Str Outcome Outcome Description Activities ebooks N4.1 N4.2 Demonstrate an understing of whole numbers to (pictorially, physically, orally, in writing, symbolically) by: Demonstrate an understing of addition of whole numbers with answers to their corresponding subtractions (limited to 3 4-digit numerals) Place value 2 Place value 3 Place Value to Billions Place value 1 Partition rename 1 Partition rename 2 Partition rename 3 Place Value to Thouss Exping s Ascending Order Descending Order Pick the Next Complements to Adding Colossal Columns Subtracting Colossal Columns Strategies for Column Addition Estimation: Add Subtract Problems: Add Subtract Estimate Sums Estimate Differences Add 3-Digit s Add 3-Digit s: Regroup Add Three 3-Digit s: Regroup Add Three 2-Digit s: Regroup Add Three 2-Digit s Add Two 2-Digit s: Regroup Add Two 2-Digit s Reading Understing Whole s Addition Subtraction 3P Learning 10

14 Grade 4 Str Outcome Outcome Description Activities ebooks N4.4 N4.5 N4.6 N4.7 N4.8 P4.1 P4.2 Demonstrate an understing of multiplication (2- or 3-digit by 1-digit) Demonstrate an understing of division (1-digit divisor up to 2-digit dividend) to solve problems Demonstrate an understing of fractions less than or equal to one by using concrete pictorial representations Demonstrate an understing of decimal numbers in tenths hundredths (pictorially, orally, in writing, symbolically) Demonstrate an understing of addition subtraction of decimals limited to hundredths (concretely, pictorially, symbolically) Demonstrate an understing of patterns relations Demonstrate an understing of equations involving symbols to represent an unknown value Multiply: 1-Digit Multiplication Arrays Multiplication Facts Multiply: 1-Digit, Regroup Multiplication Properties Divide: 1-Digit Divisor, Remainder Remainders by Tables Related Facts 2 Halve it! Problems: Times Divide Division Facts Division Facts Divide: 1-Digit Divisor 1 Divide: 2-Digit Divisor, Remainder Model Fractions Comparing Fractions 1 Ordering Fractions Shading Equivalent Fractions Fractions Equivalent Fractions Equivalent Fractions Simplifying Fractions Decimals on the Line Decimal Order 1 Comparing Decimals 1 Decimal Place Value Nearest Whole Add Decimals 1 Subtract Decimals 1 Decimal Complements Rounding Decimals 1 Pick the Next Venn Diagrams Venn Diagram1 Caroll Diagram Find the Missing 1 I am Thinking of a! Missing s Missing Values Multiplication Division Multiplication Division Fractions Fractions Fractions Algebra Algebra 11 3P Learning

15 Grade 4 Str Outcome Outcome Description Activities ebooks Shape Shape Shape Shape Statistics SS4.1 SS4.2 SS4.3 SS4.4 SP4.1 Demonstrate an understing of time Demonstrate an understing of area of regular irregular 2-D shapes Demonstrate an understing of rectangular triangular prisms by: Demonstrate an understing of line symmetry Demonstrate an understing of many-to-one correspondence by: Five Minute Times Quarter to Quarter past 24 Hour Time What is the Time? Using a Calendar Area of Shapes Equal Areas What Prism am I? Prisms Pyramids How many Faces? How many Faces? How many Edges? How many Edges? How many Corners? Faces, Edges Vertices Faces, Edges Vertices Symmetry Making Graphs Column Graphs Interpreting Tables Time, Shape Position, Shape Position, Shape Position 3P Learning 12

16 Grade 5 Str Outcome Outcome Description Activities ebooks N5.1 N5.2 N5.3 N5.4 N5.5 N5.6 Represent, compare, describe whole numbers to within the contexts of place value the base ten system, quantity. Analyze models of, develop strategies for, carry out multiplication of whole numbers Demonstrate, with without concrete materials, an understing of division (3-digit by 1-digit) interpret remainders to solve problems Develop apply personal strategies for estimation computation Demonstrate an understing of fractions by using concrete pictorial representations Demonstrate understing of decimals to thousths s from Words to Digits 1 Exped Notation Multiplying by 10, 100, 1000 Dividing by 10, 100, 1000 Partition rename 3 Multiplication Properties Multiply More Multiples of 10 Multiply: 2-Digit, Regroup Multiply: 2-Digit by 1-Digit Mental Methods Multiplication Mental Methods Multiplication Mental Methods Multiplication Remainders by Arrays Remainders by Tables Divide: 1-Digit Divisor, Remainder Divide: 2-Digit Divisor, Remainder Remainders by Arrays Short Division Divide: 1-Digit Divisor 1 Divide: 1-Digit Divisor 2 Divide: 1-Digit Divisor, Remainder Rounding s Estimation: Add Subtract Estimation: Multiply Divide Compatible s Compensation - Add Compensation - Subtract Fractions of a Collection What Fraction is Shaded? What Fraction Is Shaded? Shading Equivalent Fractions Shading Equivalent Fractions Equivalent Fractions Equivalent Fractions Simplifying Fractions Simplifying Fractions Decimal Place Value Decimals from Words to Digits 2 Comparing Decimals Decimals on a Line Reading Understing Whole s Multiplication Division Multiplication Division Reading Understing Whole s Fractions, Decimals Percentages Fractions, Decimals Percentages 13 3P Learning

17 Grade 5 Str Outcome Outcome Description Activities ebooks N5.7 Shape Shape Shape Shape Shape Shape P5.1 P5.2 SS5.1 SS5.2 SS5.3 SS5.4 SS5.5 SS5.6 Demonstrate an understing of addition subtraction of decimals (limited to thousths). Represent, analyse, apply patterns using mathematical language notation. Write, solve, verify solutions of single-variable, one-step equations with whole number coefficients whole number solutions Design construct different rectangles given either perimeter or area, or both (whole numbers), draw conclusions. Demonstrate understing of measuring length (mm) Demonstrate an understing of volume Demonstrate understing of capacity Describe provide examples of edges faces of 3-D objects, sides of 2-D shapes that are parallel, intersecting, perpendicular, vertical, horizontal Identify sort quadrilaterals, including rectangles, squares, trapezoids, parallelograms, rhombuses according to their attributes Adding Decimals Subtracting Decimals Estimate Decimal Sums 1 Estimate Decimal Differences 1 Decimal Complements Adding Subtracting Decimals Describing Find the Missing 2 I am Thinking of a! Missing s: Variables Missing Values Perimeter of Shapes Equal Areas Area of Shapes Area of Shapes Perimeter: Squares Rectangles Centimetres Metres Converting cm mm Converting Units of Length How Many Blocks Comparing Volume Using a Litre Litre Conversions Millilitres Litres Milliliters Liters What Line am I? Faces, Edges Vertices Collect the Objects 2 Fractions, Decimals Percentages Algebra Algebra Length, Perimeter Area Length, Perimeter Area Volume, Capacity Mass Volume, Capacity Mass Geometry Geometry 3P Learning 14

18 Grade 5 Str Outcome Outcome Description Activities ebooks Shape SS5.7 Identify, create, analyze single transformations of 2-D shapes (with without the use of technology) Transformations Geometry Statistics SP5.1 Differentiate between first-h second-h data Statistics SP5.2 Construct interpret double bar graphs to draw conclusions. Divided Bar Graphs Reading from a Column Graph Data Representation Statistics SP5.3 Describe, compare, predict, test the likelihood of outcomes in probability situations. What are the Chances? Scale Fair Games Possible Outcomes Counting Techniques P Learning

19 Grade 6 Str Outcome Outcome Description Activities ebooks N6.5 N6.6 N6.7 N6.8 hips hips hips Shape P6.1 P6.2 P6.3 SS6.1 Demonstrate understing of percent (limited to whole numbers to 100) concretely, pictorially, symbolically Demonstrate understing of integers concretely, pictorially, symbolically. Extend understing of fractions to improper fractions mixed numbers Demonstrate an understing of ratio concretely, pictorially, symbolically. Extend understing of patterns relationships in tables of values graphs. Extend understing of preservation of equality concretely, pictorially, physically, symbolically. Extend understing of patterns relationships by using expressions equations involving variables Demonstrate understing of angles including: identifying examples, classifying angles, estimating the measure, determining angle measures in degrees, drawing angles, applying angle relationships in triangles quadrilaterals Percents Decimals Percent of a Decimal to Percentage Percents to Fractions Modelling Percentages Comparing Integers Integers on a Line Ordering Integers What Mixed Is Shaded? Improper to Mixed Mixed to Improper Ratios Ratio Word Problems Table of Values Graphing from a Table of Values Venn Diagrams Venn Diagram1 Find the Missing 2 Missing Values: Decimals Writing Algebraic Expressions Write an Equation: Word Problems Equal Angles Classifying Angles Measuring Angles Labelling Angles Angle Sum of a Triangle Angle Measures in a Triangle Exterior Angles of a Triangle Angle Sum of a Quadrilateral Fractions, Decimals Percentage Directed s Fractions, Decimals Percentage Algebra Algebra Fractions, Decimals Percentage Algebra Geometry 3P Learning 16

20 Grade 6 Str Outcome Outcome Description Activities ebooks Shape Shape Shape Shape Statistics Statistics SS6.2 SS6.3 SS6.4 SS6.5 SP6.1 SP6.2 Extend apply understing of perimeter of polygons, area of rectangles, volume of right rectangular prisms (concretely, pictorially, symbolically) Demonstrate understing of regular irregular polygons including: classifying types of triangles, comparing side lengths, comparing angle measures, differentiating between regular irregular polygons analyzing for congruence Demonstrate understing of the first quadrant of the Cartesian plane ordered pairs with whole number coordinates. Demonstrate understing of single, combinations of, transformations of 2-D shapes (with without the use of technology) Extend understing of data analysis to include line graphs graphs of discrete data Demonstrate understing of probability Perimeter: Triangles Perimeter: Squares Rectangles Perimeter: Composite Shapes Area: Squares Rectangles Volume: Rectangular Prisms 1 Triangle Tasters Triangle Tasters Triangles: Acute, Right, Obtuse Coordinate Graphs: 1st Quadrant Ordered Pairs Coordinate Graphs Transformations Rotations: Coordinate Plane Flip, Slide, Turn Step Graphs Dot Plots Travel Graphs Scale Simple Complementary Events How many Combinations? Find the Length, Perimeter Area Volume, Capacity Mass Geometry Position Position Data Representation 17 3P Learning

21 Str Substr Outcome Outcome Description Activities ebooks Division Division Strategies N7.1.a Investigate division by 2, 3, 4, 5, 6, 8, 9, or 10 generalize strategies for determining divisibility by those numbers. Divisibility Tests Whole s Division Division Strategies N7.1.b Apply strategies for determining divisibility to sort a set of numbers in Venn or Carroll diagrams. Venn Diagram1 Division Division Strategies N7.1.c Determine or validate the factors of a number by applying strategies for divisibility. Product of Prime Factors Exponents Division Division Strategies N7.1.d Explain the result of dividing a quantity of zero by a non-zero quantity. Product of Prime Factors Exponents Division Division Strategies N7.1.e Explain (by generalizing patterns, analogies, mathematical reasoning) why division of nonzero quantities by zero is not defined. Product of Prime Factors Exponents Addition, subtraction, multiplication, division of decimals N7.2.a Provide a justification for the placement of a decimal in a sum or difference of decimals up to thousths (e.g., for , think so the sum is greater than 260; thus, the decimal will be placed so that the sum is in the hundreds). Adding Subtracting Decimals Decimals Addition, subtraction, multiplication, division of decimals N7.2.b Provide a justification for the placement of a decimal in a product (e.g., for $ , think $12 2, so the product is greater than $24; thus, the decimal in the final product would be placed so that the answer is in the tens). Decimal by Whole Decimal by Decimal Decimals Addition, subtraction, multiplication, division of decimals N7.2.c (Note: If the divisor has more than one digit, students should be allowed to use technology to determine the final answer.) Divide Decimal by Decimal Decimals Addition, subtraction, multiplication, division of decimals N7.2.d Solve a problem involving the addition, or subtraction, of two or more decimal numbers. Perimeter: Triangles Perimeter: Squares Rectangles Area Perimeter 3P Learning 18

22 Str Substr Outcome Outcome Description Activities ebooks Addition, subtraction, multiplication, division of decimals N7.2.e Solve a problem involving the multiplication or division of decimal numbers with 2-digit multipliers or 1-digit divisors (whole numbers or decimals) without the use of technology. Decimal by Decimal Divide Decimal by Whole Decimals Addition, subtraction, multiplication, division of decimals N7.2.f Solve a problem involving the multiplication or division of decimal numbers with more than a 2-digit multiplier or 1-digit divisor (whole number or decimal), with the use of technology. Divide Decimal by Decimal Decimal by Decimal Decimal by Decimal Decimals Addition, subtraction, multiplication, division of decimals N7.2.g Check the reasonableness of solutions using estimation. Estimate Decimal Sums 2 Estimate Decimal Differences 2 Estimate Decimal Operations Decimals Addition, subtraction, multiplication, division of decimals N7.2.h Solve a problem that involves operations on decimals (limited to thousths) taking into consideration the order of operations. Estimate Decimal Sums 2 Estimate Decimal Differences 2 Estimate Decimal Operations Decimals Addition, subtraction, multiplication, division of decimals N7.2.i Explain by using examples why it is important to follow a specific order of operations when calculating with decimals /or whole numbers. Estimate Decimal Sums 2 Estimate Decimal Differences 2 Estimate Decimal Operations Decimals hips between positive decimals, positive fractions whole numbers N7.3.a Predict the decimal representation of a fraction based upon patterns justify the reasoning (e.g., knowing the decimal equivalent of 1/8 2/8, predict verify the decimal representation of 7/8). Fractions to Decimals 2 Fractions Decimals hips between positive decimals, positive fractions whole numbers N7.3.b Match a set of fractions to their decimal representations. Fractions to Decimals 2 Fractions Decimals 19 3P Learning

23 Str Substr Outcome Outcome Description Activities ebooks hips between positive decimals, positive fractions whole numbers N7.3.c Sort a set of fractions into repeating or terminating decimals. Fractions to Decimals 2 Fractions Decimals hips between positive decimals, positive fractions whole numbers N7.3.d Explain demonstrate how any terminating decimal can also be written as a repeating decimal. Fractions to Decimals 2 Fractions Decimals hips between positive decimals, positive fractions whole numbers N7.3.e Express a fraction as a terminating or repeating decimal. Fractions to Decimals 2 Fractions Decimals hips between positive decimals, positive fractions whole numbers N7.3.f Express a repeating decimal as a fraction. Recurring Decimals Decimals hips between positive decimals, positive fractions whole numbers N7.3.g Express a terminating decimal as a fraction. Decimals to Fractions 2 Decimals hips between positive decimals, positive fractions whole numbers N7.3.h Explain the relationship between fractions, decimals, division. Decimals to Fractions 2 Fractions Decimals hips between positive decimals, positive fractions whole numbers N7.3.i Provide an example where the decimal representation of a fraction is an approximation of its exact value. Decimals to Fractions 2 Fractions Decimals hips between positive decimals, positive fractions whole numbers N7.3.j Order a set of numbers containing decimals, fractions, /or whole numbers in ascending or descending orders justify the order determined. Ordering Integers Ordering Fractions Decimal Order Directed s hips between positive decimals, positive fractions whole numbers N7.3.k Identify, with justification, a number that would be between two given numbers (decimal, fraction, /or whole numbers) in an ordered sequence or shown on a number line. Ordering Integers Ordering Fractions Decimal Order Directed s hips between positive decimals, positive fractions whole numbers N7.3.l Identify incorrectly placed numbers within an ordered sequence or shown on a number line. Ordering Integers Ordering Fractions Decimal Order Directed s 3P Learning 20

24 Str Substr Outcome Outcome Description Activities ebooks hips between positive decimals, positive fractions whole numbers Percents between 1% 100% Percents between 1% 100% Percents between 1% 100% Percents between 1% 100% Percents between 1% 100% Percents between 1% 100% Percents between 1% 100% Adding subtracting positive fractions mixed numbers N7.3.m N7.4.a N7.4.b N7.4.c N7.4.d N7.4.e N7.4.f N7.4.g N7.5.a Order the numbers in a set of numbers by using benchmarks on a number line such as 0, ½, 1. Create a representation (concrete, pictorial, physical or oral) of a fractional percent between 1% 100%. Express a percent as a decimal or fraction. Solve a problem that involves finding a percent. Solve a problem that involves finding percents of a value. Determine the answer to a percent problem where the answer requires rounding explain why an approximate answer is needed, e.g., total cost including taxes. Explain the meaning of a percent given in a particular context. Make justify decisions, or suggest courses of action based upon known percents for the situation. Estimate the sum or difference of positive fractions /or mixed numbers explain the reasoning. Ordering Integers Ordering Fractions Decimal Order" Modelling Percentages Percents Decimals Percentage to Fraction Solve Percent Equations Percentage Word Problems Percentage Word Problems Percent Increase Decrease Percentage Composition Simple Interest Add: Common Denominator Add Like Fractions Subtract: Common Denominator Subtract Like Fractions Add: No Common Denominator Add Unlike Fractions Subtract: No Common Denominator Subtract Unlike Fractions Common Denominator No Common Denominator Add Unlike Mixed s Add Like Mixed s Subtract Like Mixed s Subtract Unlike Mixed s Percentage Basics Percentage Basics Percentage Basics Percentage Basics Percentage Basics Percentage Basics Fractions 21 3P Learning

25 Str Substr Outcome Outcome Description Activities ebooks Adding subtracting positive fractions mixed numbers Adding subtracting positive fractions mixed numbers Adding subtracting positive fractions mixed numbers Adding subtracting positive fractions mixed numbers Adding subtracting positive fractions mixed numbers Adding subtracting positive fractions mixed numbers N7.5.b N7.5.c N7.5.d N7.5.e N7.5.e N7.5.f Model addition subtraction of positive fractions /or mixed numbers using concrete or visual representations, record the process used symbolically. Determine the sum or difference of two positive fractions or mixed numbers with like denominators explain the strategy used. Explain how common denominators for fractions /or mixed numbers factors are related. Explain how a common denominator can help when adding fractions /or mixed numbers. Determine the sum or difference of two positive fractions or mixed numbers with unlike denominators explain the strategy used. Simplify a positive fraction or mixed number by identifying dividing off the common factor between the numerator denominator. Add: Common Denominator Add Like Fractions Subtract: Common Denominator Subtract Like Fractions Add: No Common Denominator Add Unlike Fractions Subtract: No Common Denominator Subtract Unlike Fractions Common Denominator No Common Denominator Add Unlike Mixed s Add Like Mixed s Subtract Like Mixed s Subtract Unlike Mixed s Add Like Mixed s Subtract Like Mixed s Add Like Mixed s Subtract Like Mixed s Add Like Mixed s Subtract Like Mixed s Add Unlike Mixed s Subtract Unlike Mixed s Simplifying Fractions Fractions Under review Under review Under review Under review Under review 3P Learning 22

26 Str Substr Outcome Outcome Description Activities ebooks Adding subtracting positive fractions mixed numbers Adding subtracting positive fractions mixed numbers Adding subtracting positive fractions mixed numbers Addition subtraction of integers Addition subtraction of integers Addition subtraction of integers Addition subtraction of integers Addition subtraction of integers Addition subtraction of integers Addition subtraction of integers, graphs linear relations N7.5.g N7.5.h N7.5.i N7.6.a N7.6.b N7.6.c N7.6.d N7.6.e N7.6.e N7.6.f P7.1.a Generalize explain personal strategies for determining the sum or difference of positive fractions /or mixed numbers. Solve a problem involving the addition or subtraction of positive fractions or mixed numbers. Explain how the sum or difference of positive fractions /or mixed numbers can be represented symbolically in different ways. Represent opposite integers concretely, pictorially, symbolically explain why they are called opposite integers. Explain, using concrete materials such as integer tiles diagrams, that the sum of opposite integers is zero (e.g., a move in one direction followed by an equivalent move in the opposite direction results in no net change in position). Illustrate, using a number line, the results of adding or subtracting negative positive integers. Add two integers using concrete materials or pictorial representations record the process symbolically. Subtract two integers using concrete materials or pictorial representations record the process symbolically. Investigate patterns in adding subtracting integers to generalize personal strategies for adding subtracting integers. Solve problems involving the addition subtraction of integers. Represent a relationship found within an oral or written pattern using a linear relation. Simplifying Fractions Mixed Numerals Mixed Numerals Directed s Integers on a Line Directed s Integers on a Line Integers: Add Subtract Integers: Add Subtract Integers: Add Subtract Integers: Add Subtract More with Integers Pattern Rules Tables Find the Pattern Rule Fractions Directed s Directed s Directed s Directed s Directed s Directed s Directed s Algebra Basics 23 3P Learning

27 Str Substr Outcome Outcome Description Activities ebooks, graphs linear relations P7.1.b Analyse whether an oral or written pattern is linear in nature. Scatter Plots, graphs linear relations P7.1.c Provide a context for a linear relation. Scatter Plots, graphs linear relations P7.1.d Identify a pattern from the environment that is linear in nature write a linear relation to describe the pattern. Scatter Plots, graphs linear relations P7.1.e Identify assumptions made when writing a linear relation for a pattern. Scatter Plots, graphs linear relations P7.1.f Create a table of values for a linear relation by evaluating the relation for different variable values. Pattern Rules Tables, graphs linear relations P7.1.g Create a table of values using a linear relation graph the table of values (limited to discrete points). Pattern Rules Tables Graphing from a Table of Values Algebra Basics The Plane, graphs linear relations P7.1.h Sketch the graph from a table of values created for a linear relation describe the patterns found in the graph. Graphing from a Table of Values Algebra Basics The Plane, graphs linear relations P7.1.i Describe the relationship shown on a graph using everyday language in spoken or written form. Graphing from a Table of Values Algebra Basics The Plane, graphs linear relations P7.1.j Analyze a graph in order to draw a conclusion or solve a problem. Conversion Graphs, graphs linear relations P7.1.k Match a set of linear relations to a set of graphs explain the strategies used. Which Straight Line? Grade 8 Linear hips, graphs linear relations P7.1.l Match a set of graphs to a set of linear relations justify the selections made. Which Straight Line? Grade 8 Linear hips, graphs linear relations P7.1.m Describe a situation which could result in a graph similar to one that is shown. Which Straight Line? Grade 8 Linear hips 3P Learning 24

28 Str Substr Outcome Outcome Description Activities ebooks, graphs linear relations, graphs linear relations, graphs linear relations, graphs linear relations, graphs linear relations One- two-step linear equations One- two-step linear equations One- two-step linear equations One- two-step linear equations P7.2 P7.2.a P7.2.b P7.2.c P7.2.d P7.3.a P7.3.b P7.3.c P7.3.d Demonstrate an understing of equations expressions Explain what a variable is how it is used in an expression. Provide an example of an expression an equation, explain how they are similar different. Explain how to evaluate an expression how that result is different from a solution to an equation. Verify a possible solution to a linear equation using substitution explain the result. Model the preservation of equality for each of the four operations using concrete materials or using pictorial representations, explain the process orally record it symbolically. Generalize strategies for carrying out operations that involve the use of the preservation of equality. Solve an equation by applying the preservation of equality. Identify provide an example of a constant term, a numerical coefficient, a variable in an expression an equation. Simple Substitution 2 Checking Solutions Simple Substitution 2 Checking Solutions Simple Substitution 2 Checking Solutions Simple Substitution 2 Checking Solutions Checking Solutions Algebra Tiles Algebra Tiles Solve Equations: Add, Subtract 2 Solving Simple Equations Algebra Tiles Solving Simple Equations Solve Two-Step Equations Solving More Equations Equations with Grouping Symbols Solve Multi-Step Equations Equations with Decimals Equations: Variables, Both Sides Equations with Fractions Equations to Solve Problems Writing Equations Find the Mistake Algebra Basics Algebra Basics Algebra Basics Algebra Basics Algebra Basics Grade 8 Equations Algebra Basics Grade 8 Equations 25 3P Learning

29 Str Substr Outcome Outcome Description Activities ebooks One- two-step linear equations P7.3.e Represent a problem with a linear equation solve the equation using concrete models, (e.g., counters, integer tiles) record the process symbolically. Algebra Tiles Solving Simple Equations Solve Two-Step Equations Solving More Equations Equations with Grouping Symbols Solve Multi-Step Equations Equations with Decimals Equations: Variables, Both Sides Equations with Fractions Equations to Solve Problems Writing Equations Find the Mistake Algebra Basics Grade 8 Equations One- two-step linear equations P7.3.f Draw a representation of the steps used to solve a linear equation. Algebra Tiles Solving Simple Equations Solve Two-Step Equations Solving More Equations Equations with Grouping Symbols Solve Multi-Step Equations Equations with Decimals Equations: Variables, Both Sides Equations with Fractions Equations to Solve Problems Writing Equations Find the Mistake Algebra Basics Grade 8 Equations One- two-step linear equations P7.3.g Verify the solution to a linear equation using concrete materials or diagrams. Algebra Tiles Solving Simple Equations Solve Two-Step Equations Solving More Equations Equations with Grouping Symbols Solve Multi-Step Equations Equations with Decimals Equations: Variables, Both Sides Equations with Fractions Equations to Solve Problems Writing Equations Find the Mistake Algebra Basics Grade 8 Equations 3P Learning 26

30 Str Substr Outcome Outcome Description Activities ebooks One- two-step linear equations One- two-step linear equations One- two-step linear equations Linear equations solving the problems P7.3.h P7.3.i P7.3.j P7.4.a Explain what the solution for a linear equation means. Represent a problem situation using a linear equation. Solve a problem using a linear equation. Represent a problem with a linear equation of the form where a b are integers solve the equation using concrete models (e.g., counters, integer tiles) record the process symbolically. Algebra Tiles Solving Simple Equations Solve Two-Step Equations Solving More Equations Equations with Grouping Symbols Solve Multi-Step Equations Equations with Decimals Equations: Variables, Both Sides Equations with Fractions Equations to Solve Problems Writing Equations Find the Mistake Algebra Tiles Solving Simple Equations Solve Two-Step Equations Solving More Equations Equations with Grouping Symbols Solve Multi-Step Equations Equations with Decimals Equations: Variables, Both Sides Equations with Fractions Equations to Solve Problems Writing Equations Find the Mistake Algebra Tiles Solving Simple Equations Solve Two-Step Equations Solving More Equations Equations with Grouping Symbols Solve Multi-Step Equations Equations with Decimals Equations: Variables, Both Sides Equations with Fractions Equations to Solve Problems Writing Equations Find the Mistake Algebra Tiles Solving Simple Equations Solve Two-Step Equations Solving More Equations Equations with Grouping Symbols Solve Multi-Step Equations Equations with Decimals Equations: Variables, Both Sides Equations with Fractions Equations to Solve Problems Writing Equations Find the Mistake Algebra Basics Grade 8 Equations Algebra Basics Grade 8 Equations Algebra Basics Grade 8 Equations Algebra Basics Grade 8 Equations 27 3P Learning

31 Str Substr Outcome Outcome Description Activities ebooks Shape Shape Shape Shape Shape Shape Shape Shape Linear equations solving the problems Circles including circumference central angles Circles including circumference central angles Circles including circumference central angles Circles including circumference central angles Circles including circumference central angles Circles including circumference central angles Circles including circumference central angles Circles including circumference central angles P7.4.b SS7.1.a SS7.1.b SS7.1.c SS7.1.d SS7.1.e SS7.1.f SS7.1.g SS7.1.h Verify a solution to a problem involving a linear equation of the form where a b are integers. Identify the characteristics of a circle. Define illustrate the relationship between the diameter radius of a circle. Answer the question how many radii does a circle have why? Answer the question how many diameters does a circle have why? Explain (with illustrations) why a specified point radius length (or diameter length) describes exactly one circle. Illustrate explain the relationship between a radius a diameter of a circle. Generalize, from investigations, the relationship between the circumference the diameter of a circle. Define pi (π) explain how it is related to circles. Algebra Tiles Solving Simple Equations Solve Two-Step Equations Solving More Equations Equations with Grouping Symbols Solve Multi-Step Equations Equations with Decimals Equations: Variables, Both Sides Equations with Fractions Equations to Solve Problems Writing Equations Find the Mistake Circle Terms Circle Terms Circle Terms Circle Terms Circle Terms Circle Terms Circle Terms Circle Terms Algebra Basics Grade 8 Equations 3P Learning 28

32 Str Substr Outcome Outcome Description Activities ebooks Shape Shape Shape Shape Shape Shape Circles including circumference central angles Circles including circumference central angles Circles including circumference central angles Circles including circumference central angles Area Area SS7.1.i SS7.1.j SS7.1.k SS7.1.l SS7.2.a SS7.2.b Sort a set of angles as central angles of a circle or not. Demonstrate that the sum of the central angles of a circle is 360. Draw a circle with a specific radius or diameter with without a compass. Solve problems involving circles. Illustrate explain how the area of a rectangle can be used to determine the area of a triangle. Generalize, using examples, a formula for determining the area of triangles. Circle Terms Angles in a Revolution Angles in a Revolution Circumference: Circles Area: Squares Rectangles Area: Squares Rectangles Area: Squares Rectangles Area: Triangles Area: Triangles Area: Right Angled Triangles Area: Quadrilaterals Area: Quadrilaterals Area: Circles Area: Circles Area: Squares Rectangles Area: Squares Rectangles Area: Squares Rectangles Area: Triangles Area: Triangles Area: Right Angled Triangles Area: Quadrilaterals Area: Quadrilaterals Area: Circles Area: Circles Angles Angles Area Perimeter Area Perimeter 29 3P Learning

33 Str Substr Outcome Outcome Description Activities ebooks Shape Shape Shape Shape Area Area Area Area SS7.2.c SS7.2.d SS7.2.e SS7.2.f Illustrate explain how the area of a rectangle can be used to determine the area of a parallelogram. Generalize, using examples, a formula for determining the area of parallelograms. Illustrate explain how to estimate the area of a circle without the use of a formula. Illustrate explain how the area of a circle can be approximated by the circumference of the circle times its radius. Area: Squares Rectangles Area: Squares Rectangles Area: Squares Rectangles Area: Triangles Area: Triangles Area: Right Angled Triangles Area: Quadrilaterals Area: Quadrilaterals Area: Circles Area: Circles Area: Squares Rectangles Area: Squares Rectangles Area: Squares Rectangles Area: Triangles Area: Triangles Area: Right Angled Triangles Area: Quadrilaterals Area: Quadrilaterals Area: Circles Area: Circles Area: Squares Rectangles Area: Squares Rectangles Area: Squares Rectangles Area: Triangles Area: Triangles Area: Right Angled Triangles Area: Quadrilaterals Area: Quadrilaterals Area: Circles Area: Circles Area: Squares Rectangles Area: Squares Rectangles Area: Squares Rectangles Area: Triangles Area: Triangles Area: Right Angled Triangles Area: Quadrilaterals Area: Quadrilaterals Area: Circles Area: Circles Area Perimeter Area Perimeter Area Perimeter Area Perimeter 3P Learning 30

34 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Shape Area SS7.2.g Generalize a formula for finding the area of a circle. Area: Squares Rectangles Area: Squares Rectangles Area: Squares Rectangles Area: Triangles Area: Triangles Area: Right Angled Triangles Area: Quadrilaterals Area: Quadrilaterals Area: Circles Area: Circles Area Perimeter Shape Area SS7.2.h Solve problems involving the area of triangles, parallelograms, or circles. Area: Squares Rectangles Area: Squares Rectangles Area: Squares Rectangles Area: Triangles Area: Triangles Area: Right Angled Triangles Area: Quadrilaterals Area: Quadrilaterals Area: Circles Area: Circles Area Perimeter Shape 2-D relationships involving lines angles SS7.3.a Identify describe examples of parallel line segments, perpendicular line segments, perpendicular bisectors, angle bisectors in the environment. Shape Shape 2-D relationships involving lines angles 2-D relationships involving lines angles SS7.3.b SS7.3.c Identify, with justification, line segments on a diagram that are parallel or perpendicular. Investigate explain how paper, pencil, compass, rulers can be used to construct parallel lines, perpendicular lines, angle bisectors, perpendicular bisectors. Are they Parallel? Are they Perpendicular? Are they Parallel? Are they Perpendicular? Angles Angles 31 3P Learning

35 Str Substr Outcome Outcome Description Activities ebooks Shape Shape Shape Shape Shape Shape Shape Shape Shape 2-D relationships involving lines angles 2-D relationships involving lines angles 2-D relationships involving lines angles 2-D relationships involving lines angles 2-D relationships involving lines angles 2-D relationships involving lines angles 2-D relationships involving lines angles Cartesian plane ordered pairs Cartesian plane ordered pairs SS7.3.d SS7.3.e SS7.3.f SS7.3.g SS7.3.h SS7.3.i SS7.3.j SS7.4.a SS7.4.b Investigate how paper folding can be used to construct parallel lines, perpendicular lines, angle bisectors, perpendicular bisectors. Use technology to construct parallel lines, perpendicular lines, angle bisectors, perpendicular bisectors. Draw a line segment perpendicular to another line segment explain why they are perpendicular. Draw a line segment parallel to another line segment explain why they are parallel. Draw the bisector of a given angle using more than one method verify that the resulting angles are equal. Draw the perpendicular bisector of a line segment using more than one method verify the construction. Use geometric constructions to create a design or picture, identify the constructions present in the design. Label the axes of a four quadrant Cartesian plane identify the origin. Explain how orientation (the direction in a situation) can influence the labelling of the axes on a Cartesian plane. Are they Parallel? Are they Perpendicular? Are they Parallel? Are they Perpendicular? Are they Parallel? Are they Perpendicular? Are they Parallel? Are they Perpendicular? Are they Parallel? Are they Perpendicular? Are they Parallel? Are they Perpendicular? Are they Parallel? Are they Perpendicular? Ordered Pairs Coordinate Graphs Coordinate Graphs: 1st Quadrant Ordered Pairs Coordinate Graphs Coordinate Graphs: 1st Quadrant Angles Angles Angles Angles Angles Angles Angles The Plane The Plane 3P Learning 32

36 Str Substr Outcome Outcome Description Activities ebooks Shape Cartesian plane ordered pairs SS7.4.c Identify the location of a point in any quadrant of a Cartesian plane using an ordered pair with integral coordinates. Ordered Pairs Coordinate Graphs Coordinate Graphs: 1st Quadrant The Plane Shape Cartesian plane ordered pairs SS7.4.d Plot the point corresponding to an ordered pair with integral coordinates on a Cartesian plane with a scale of 1, 2, 5, or 10 on its axes. Ordered Pairs Coordinate Graphs Coordinate Graphs: 1st Quadrant The Plane Shape Shape Shape Shape Shape Shape Cartesian plane ordered pairs Cartesian plane ordered pairs Transformations of 2-D shapes Transformations of 2-D shapes Transformations of 2-D shapes Transformations of 2-D shapes SS7.4.e SS7.4.f SS7.5.a SS7.5.b SS7.5.c SS7.5.d Draw shapes designs, using integral ordered pairs, in a Cartesian plane. Create shapes designs, identify the points used to produce the shapes designs in any quadrant of a Cartesian plane. Identify the coordinates of the vertices of a 2-D shape shown on a Cartesian plane. Describe the horizontal vertical movement required to move from one point to another point on a Cartesian plane. Describe the positional change of the vertices of a 2-D shape to the corresponding vertices of its image as a result of a transformation or successive transformations on a Cartesian plane. Determine the distance between points along horizontal vertical lines in a Cartesian plane. Ordered Pairs Coordinate Graphs Coordinate Graphs: 1st Quadrant Ordered Pairs Coordinate Graphs Coordinate Graphs: 1st Quadrant Ordered Pairs Coordinate Graphs Coordinate Graphs: 1st Quadrant Transformations: Coordinate Plane The Plane The Plane The Plane The Plane The Plane The Plane 33 3P Learning

37 Str Substr Outcome Outcome Description Activities ebooks Shape Transformations of 2-D shapes SS7.5.e Perform a transformation or consecutive transformations on a 2-D shape identify coordinates of the vertices of the image. The Plane Shape Shape Statistics Statistics Transformations of 2-D shapes Transformations of 2-D shapes Central tendency range for sets of data Central tendency range for sets of data SS7.5.f SS7.5.g SP7.1.a SP7.1.b Describe the positional change of the vertices of a 2-D shape to the corresponding vertices of its image as a result of a transformation or a combination of successive transformations. Describe the image resulting from the transformation of a 2-D shape on a Cartesian plane by identifying the coordinates of the vertices of the image. Concretely represent mean, median, mode explain the similarities differences among them. Determine mean, median, mode for a set of data, explain why these values may be the same or different. Transformations: Coordinate Plane Transformations: Coordinate Plane Mean Mean Median Median Mode Mode from Frequency Table Mode from Frequency Table Median from Frequency Mean Mean Median Median Mode Mode from Frequency Table Mode from Frequency Table Median from Frequency The Plane The Plane Data Data Statistics Central tendency range for sets of data SP7.1.c Determine the range of a set of data. Data 3P Learning 34

38 Str Substr Outcome Outcome Description Activities ebooks Statistics Statistics Statistics Statistics Statistics Statistics Statistics Statistics Central tendency range for sets of data Central tendency range for sets of data Central tendency range for sets of data Central tendency range for sets of data Central tendency range for sets of data Central tendency range for sets of data Circle graphs Circle graphs SP7.1.d SP7.1.e SP7.1.f SP7.1.g SP7.1.h SP7.1.i SP7.2.a SP7.2.b Provide a context in which the mean, median, or mode is the most appropriate measure of central tendency to use when reporting findings explain the choice. Solve a problem involving the measures of central tendency. Analyze a set of data to identify any outliers. Explain the effect of outliers on the measures of central tendency for a data set. Identify outliers in a set of data justify whether or not they should be included in the reporting of the measures of central tendency. Provide examples of situations in which outliers would would not be used in reporting the measures of central tendency. Identify common attributes of circle graphs Create label a circle graph, with without technology, to display a set of data. Mean Mean Median Median Mode Mode from Frequency Table Mode from Frequency Table Median from Frequency Mean Mean Median Median Mode Mode from Frequency Table Mode from Frequency Table Median from Frequency Angles in a Revolution Circle Graphs Data Data Grade 10 Interpreting Data 35 3P Learning

39 Str Substr Outcome Outcome Description Activities ebooks Statistics Circle graphs SP7.2.c Find, describe, compare circle graphs in a variety of print electronic media such as newspapers, magazines, the Internet. Statistics Statistics Circle graphs Circle graphs SP7.2.d SP7.2.e Translate percents displayed in a circle graph into quantities to solve a problem. Interpret a circle graph to answer questions. Sector Graph Calculations Sector Graph Calculations Circle Graphs Grade 10 Interpreting Data Grade 10 Interpreting Data Statistics Circle graphs SP7.2.f Identify the characteristics of a set of data that make it possible to create a circle graph. Sector Graph Calculations Circle Graphs Grade 10 Interpreting Data Statistics Circle graphs SP7.3.a Explain what a probability tells about the situation to which it refers. Scale Chance Statistics Circle graphs SP7.3.b Independent events Scale with Replacement - 'And' 'Or' Chance Statistics Circle graphs SP7.3.c Identify the sample space (all possible outcomes) for each of two independent events using a tree diagram, table, or another graphic organizer. Tree Diagrams Simple Simple Scale Scale Scale with Replacement Find the - 'And' 'Or' Chance 3P Learning 36

40 Str Substr Outcome Outcome Description Activities ebooks Statistics Statistics Statistics Statistics Statistics Statistics Circle graphs Circle graphs Circle graphs Circle graphs Circle graphs Circle graphs SP7.3.d SP7.3.e SP7.3.f SP7.3.g SP7.3.h SP7.3.i Determine the theoretical probability of an outcome involving two independent events. Conduct a probability experiment for an outcome involving two independent events, with without technology, to compare the experimental probability to the theoretical probability. Solve a probability problem involving two independent events. Explain how theoretical experimental probabilities are related why they cannot be assumed to be equal. Represent a probability stated as a percent as a fraction or a decimal. Represent a probability stated as a fraction or decimal as a percent. Tree Diagrams Simple Simple Scale Scale Scale with Replacement Find the - 'And' 'Or Tree Diagrams Simple Simple Scale Scale Scale with Replacement Find the - 'And' 'Or' Scale Without Replacement Scale Without Replacement Tree Diagrams Simple Simple Scale Scale Scale with Replacement Find the - 'And' 'Or' Tree Diagrams Simple Simple Scale Scale Scale with Replacement Find the - 'And' 'Or' Chance Chance Chance Chance Chance Chance 37 3P Learning

41 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Square principle square root of whole numbers Square principle square root of whole numbers Square principle square root of whole numbers N8.1.a N8.1.b N8.1.c Recognize, show, explain the relationship between whole numbers their factors using concrete or pictorial representations (e.g., using a set number of tiles, create rectangular regions record the dimensions of those regions, describe how those dimensions relate to the factors of the number). Infer verify relationships between the factors of a perfect square the principle square root of a perfect square. Determine if specific numbers are perfect squares through the use of different types of representations reasoning, explain the reasoning. Square Roots Square Roots Whole s Whole s Whole s Square principle square root of whole numbers N8.1.d Describe apply the relationship between the principle square roots of numbers benchmarks using a number line. Square Roots Whole s Square principle square root of whole numbers N8.1.e Explain why the square root of a number shown on a calculator may be an approximation. Square Roots Whole s Square principle square root of whole numbers N8.1.f Apply estimation strategies to determine approximate values for principle square roots. Estimating Square Roots Whole s Square principle square root of whole numbers N8.1.g Determine the value or an approximate value of a principle square root with or without the use of technology. Estimating Square Roots Square Roots Whole s Square principle square root of whole numbers N8.1.h Identify a number with a principle square root between two given numbers explain the reasoning. Estimating Square Roots Square Roots Whole s 3P Learning 38

42 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Square principle square root of whole numbers Percents greater than or equal to 0% (including fractional decimal percents) Percents greater than or equal to 0% (including fractional decimal percents) Percents greater than or equal to 0% (including fractional decimal percents) Percents greater than or equal to 0% (including fractional decimal percents) Percents greater than or equal to 0% (including fractional decimal percents) N8.1.i N8.2.a N8.2.b N8.2.c N8.2.d N8.2.e Share the story, in writing, orally, drama, dance, art, music, or other media, of the role significance of square roots in a personally selected historical or modern application situation (e.g., Archimedes the square root of 3, Pythagoras the existence of square roots, role of square roots in Pythagoras theorem, use of square roots in determining dimensions of a square region from the area, use of square roots to determine measurements in First Nations beading patterns, use of square roots to determine dimensions of nets). Recognize, represent, explain situations, including for self, family, communities, in which percents greater than 100 or fractional percents are meaningful (e.g., the percent profit made on the sale of fish). Represent a fractional percent /or a percent greater than 100 using grid paper. Describe relationships between different types of representation (concrete, pictorial, symbolic in percent, fractional, decimal forms) for the same percent (e.g., how do 345 coloured grid squares relate to 345%, or why is 345% the same as 3.45). Record the percent, fraction, decimal forms of a quantity shown by a representation on grid paper. Apply understing of percents to solve problems, including situations involving combined percents or percents of percents (e.g., PST + GST, or 10% discount on a purchase already discounted 30%) explain the reasoning. Estimating Square Roots Square Roots Percentage Increase Decrease Successive Discounts Whole s Percentage Calculations Percentage Calculations Percentage Calculations Percentage Calculations Percentage Calculations 39 3P Learning

43 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Percents greater than or equal to 0% (including fractional decimal percents) Percents greater than or equal to 0% (including fractional decimal percents) Percents greater than or equal to 0% (including fractional decimal percents) Percents greater than or equal to 0% (including fractional decimal percents) N8.2.f N8.2.g N8.2.h N8.2.i Explain, using concrete, pictorial, or symbolic representations, why the order of consecutive percents does not impact the final value (e.g., a decrease of 15% followed by an increase of 5% results in the same quantity as an increase of 5% followed by a decrease of 15%). Demonstrate, using concrete, pictorial, or symbolic representations, that two consecutive percents applied to a specific situation cannot be added or subtracted to give an overall percent change (e.g., a population increase of 10% followed by a population increase of 15% is not a 25% increase, a decrease of 10% followed by an increase of 10% will result in an overall change). Analyze choices make decisions based upon percents personal or community concerns issues (e.g., deciding whether or not to have surgery if given a 75% chance of survival, deciding how much to buy if you can save 25% when two items are purchased, deciding whether or not to hunt for deer when a known percent of deer have chronic wasting disease, deciding about whether or not to use condoms knowing that they are 95% effective as birth control, making decisions about diet knowing that a high percentage of Aboriginal peoples have or will get diabetes). Explain the role significance of percents in different situations (e.g., polls during elections, medical reports, percent down on purchases). Percentage Increase Decrease Successive Discounts Percentage Increase Decrease Successive Discounts Percentage Increase Decrease Successive Discounts Percentage Increase Decrease Successive Discounts Percentage Calculations Percentage Calculations Percentage Calculations Percentage Calculations 3P Learning 40

44 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Percents greater than or equal to 0% (including fractional decimal percents) Rates, ratios, proportional reasoning Rates, ratios, proportional reasoning Rates, ratios, proportional reasoning Rates, ratios, proportional reasoning Rates, ratios, proportional reasoning N8.2.j N8.3.a N8.3.b N8.3.c N8.3.d N8.3.e Pose solve problems involving percents stated as a percent, fraction, or decimal quantity. Identify explain ratios rates in familiar situations (e.g., cost per music download, traditional mixtures for bleaching, time for a h-sized piece of fungus to burn, mixing of colours, number of boys to girls at a school dance, rates of traveling such as car, skidoo, motor boat or canoe, fishing nets expected catches, or number of animals hunted number of people to feed). Identify situations (such as providing for the family or community through hunting) in which a given quantity of a/b represents a fraction, rate, quotient, percent, probability or ratio. Demonstrate (orally, through arts, concretely, pictorially, symbolically, /or physically) the difference between ratios rates. Verify or contradict proposed relationships between the different roles for quantities that can be expressed in the form a/b. Write the symbolic form (e.g., 3:5 or 3 to 5 as a ratio, $3/ min or $3 per one minute as a rate) for a concrete, physical, or pictorial representation of a ratio or rate. Percentage of a Quantity Percentage to Fraction Percentage Increase Decrease Percents to Fractions Percentage Composition Percentage Word Problems Rates Word Problems Proportional hips Dividing a Quantity in a Ratio Ratio Word Problems Rates Word Problems Proportional hips Dividing a Quantity in a Ratio Ratio Word Problems Rates Word Problems Proportional hips Dividing a Quantity in a Ratio Ratio Word Problems Rates Word Problems Proportional hips Dividing a Quantity in a Ratio Ratio Word Problems Rates Word Problems Proportional hips Dividing a Quantity in a Ratio Ratio Word Problems Percentage Calculations Decimals Decimals Decimals Decimals Decimals 41 3P Learning

45 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Rates, ratios, proportional reasoning Rates, ratios, proportional reasoning Multiplying dividing positive fractions mixed numbers Multiplying dividing positive fractions mixed numbers Multiplying dividing positive fractions mixed numbers Multiplying dividing positive fractions mixed numbers Multiplying dividing positive fractions mixed numbers Multiplying dividing positive fractions mixed numbers N8.3.f N8.3.g N8.4.a N8.4.b N8.4.c N8.4.d N8.4.e N8.4.f Explain how to recognize whether a comparison requires the use of proportional reasoning (ratios or rates) or subtraction. Create solve problems involving rates, ratios, /or probabilities. Identify describe situations relevant to self, family, or community in which multiplication division of fractions are involved. Model the multiplication of two positive fractions record the process symbolically. Compare the multiplication of positive fractions to the multiplication of whole numbers, decimals, integers. Generalize apply strategies for determining estimates of products of positive fractions Generalize apply strategies for multiplying positive fractions. Critique the statement Multiplication always results in a larger quantity reword the statement to capture the points of correction or clarification raised (e.g., ½ x ½ - ¼ which is smaller than ½). Equations to Solve Problems Rates Word Problems Proportional hips Dividing a Quantity in a Ratio Ratio Word Problems Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Estimate Products with Fractions Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Decimals Fractions Fractions Fractions Fractions Fractions Fractions 3P Learning 42

46 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Multiplying dividing positive fractions mixed numbers Multiplying dividing positive fractions mixed numbers Multiplying dividing positive fractions mixed numbers Multiplying dividing positive fractions mixed numbers Multiplying dividing positive fractions mixed numbers Multiplying dividing positive fractions mixed numbers Multiplying dividing positive fractions mixed numbers N8.4.g N8.4.h N8.4.i N8.4.j N8.4.k N8.4.l N8.4.m For example, 2½ x 3¼ = (2 + ½) x (3 + ¼) = (2 x 3) + (2 X ¼) + (½ x 3) + (½ x ¼). Model the division of two positive fractions record the process symbolically. Compare the division of positive fractions to the division of whole numbers, decimals, integers. Generalize apply strategies for determining estimates of quotients of positive fractions. Estimate the quotient of two given positive fractions explain the strategy used. Generalize apply strategies for determining the quotients of positive fractions. Critique the statement Division always results in a smaller quantity reword the statement to capture the points of correction or clarification raised (e.g., ½ ¼ = 2 but 2 is bigger than ½ or ¼). Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Fractions Fractions Fractions Fractions Fractions Fractions Fractions 43 3P Learning

47 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Multiplying dividing positive fractions mixed numbers Multiplying dividing positive fractions mixed numbers Multiplication division of integers Multiplication division of integers Multiplication division of integers Multiplication division of integers N8.4.n N8.4.o N8.5.a N8.5.b N8.5.c N8.5.d Identify, without calculating, the operation required to solve a problem involving fractions justify the reasoning. Create, represent (concretely, pictorially, or symbolically) solve problems that involve one or more operations on positive fractions (including multiplication division). Identify describe situations that are relevant to self, family, or community in which multiplication or division of integers would be involved. Model the multiplication of two integers using concrete materials or pictorial representations, record the process used symbolically. Model the division of two integers using concrete materials or pictorial representations, record the process used symbolically. Identify generalize patterns for determining the sign of integer products quotients. Multiply Two Fractions 1 Multiply Mixed s Dividing Fractions Divide Fractions by Fractions 1 Divide Mixed s Order of Operations 2 Integers: Multiply Divide Problems: Add Subtract Problems: Add Subtract Problems: Add Subtract Problems: Times Divide Problems: Multiply Divide Problems: Multiply Divide Integers: Multiply Divide Problems: Add Subtract Problems: Add Subtract Problems: Add Subtract Problems: Times Divide Problems: Multiply Divide Problems: Multiply Divide Integers: Multiply Divide Problems: Add Subtract Problems: Add Subtract Problems: Add Subtract Problems: Times Divide Problems: Multiply Divide Problems: Multiply Divide Integers: Multiply Divide Problems: Add Subtract Problems: Add Subtract Problems: Add Subtract Problems: Times Divide Problems: Multiply Divide Problems: Multiply Divide Fractions Fractions Directed s Directed s Directed s Directed s 3P Learning 44

48 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Multiplication division of integers N8.5.e Multiplication division of integers N8.5.f Multiplication division of integers N8.5.g Multiplication division of integers N8.5.h Linear relations Linear relations Linear relations Linear relations Linear relations P8.1.a P8.1.b P8.1.c P8.1.d P8.1.e Generalize apply strategies for multiplying dividing integers. Create solve problems involving the multiplication or division (without technology for one-digit divisors, with technology for two-digit divisors) of integers. Explain how the order of operations can be extended to include integers provide examples to demonstrate the use of the order of operations. Create solve problems requiring the use of the order of operations on integers. Analyze describe the relationship shown on a graph for a given situation (e.g., "The graph is showing that, as the temperature rises, the number of people in the mall decreases"). Explain how a given linear relation is represented by a given table of values. Model a linear relation shown as an equation, a graph, a table of values, or a concrete or pictorial representation in one or more other forms. Analyze a set of equations, graphs, ordered pairs, tables of values, sort the set according to representing the same linear relations, explain the reasoning. Determine the missing coordinate of an ordered pair given the equation of a linear relation, a table of values, or a graph explain the reasoning. Integers: Multiply Divide Integers: Multiply Divide Integers: Order of Operations Order of Operations 2 Integers: Order of Operations Order of Operations 2 Line Graphs: Interpretation Line Graphs: Interpretation Find the Pattern Rule Pattern Rules Tables Determining a Rule for a Line Find the Pattern Rule Pattern Rules Tables Determining a Rule for a Line Pattern Rules Tables Conversion Graphs Directed s Directed s Directed s Directed s Linear hips Linear hips Linear hips Linear hips Linear hips 45 3P Learning

49 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Linear relations Linear relations Linear relations P8.1.f P8.1.g P8.1.h Determine which of a set of graphs, equations, tables of values, sets of ordered pairs, concrete or pictorial representations represent a linear relationship justify the reasoning. Determine if an ordered pair satisfies a linear relation given as a table of values, concrete or pictorial representation, graph, or equation explain the reasoning. Identify situations relevant to self, family, or community that appear to define linear relations determine, with justification, whether the graph for the situation would be shown with a solid line or not. Pattern Rules Tables Conversion Graphs Pattern Rules Tables Conversion Graphs Pattern Rules Tables Conversion Graphs Linear hips Linear hips Linear hips Model solve problems using linear equations P8.2.a Identify describe situations, which are relevant to self, family, or community, that can be modeled by a linear equation (e.g., the cost of purchasing x fish from a fisherman). Modeling Linear hips Linear hips Model solve problems using linear equations P8.2.b Model solve linear equations using concrete materials (e.g., counters integer tiles) describe the process orally symbolically. Modeling Linear hips Linear hips Model solve problems using linear equations P8.2.c Discuss the importance of the preservation of equality when solving equations. Modeling Linear hips Linear hips Model solve problems using linear equations Model solve problems using linear equations P8.2.d P8.2.e Explain the meaning of verify the solution of a given linear equation using a variety of methods, including concrete materials, diagrams, substitution. Generalize apply symbolic strategies for solving linear equations. Find the Mistake Solve Multi-Step Equations Equations with Grouping Symbols Solving More Equations Equations Equations 3P Learning 46

50 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Shape Shape Shape Shape Model solve problems using linear equations Model solve problems using linear equations Model solve problems using linear equations Model solve problems using linear equations Model solve problems using linear equations Pythagorean Theorem Pythagorean Theorem Pythagorean Theorem Pythagorean Theorem P8.2.f P8.2.g P8.2.h P8.2.i P8.2.j SS8.1.a SS8.1.b SS8.1.c SS8.1.d Identify, explain, correct errors in a given solution of a linear equation. Demonstrate the application of the distributive property in the solving of linear equations (e.g., 2(x + 3); 2x + 6 = 5) Explain why some linear relations (e.g., x/a = b, a 0 x/a + b = c, a 0) have a given restriction provide an example of a situation in which such a restriction would be necessary. Identify solve problems that can be represented using linear equations explain the meaning of the solution in the context of the problem. Explain the algebra behind a particular algebra puzzle Generalize the results of an investigation of the expression a² + b² = c² (where a, b, c are the lengths of the sides of a right triangle, c being the longest) Explore right non-right triangles, using technology, generalize the relationship between the type of triangle the Pythagorean Theorem (i.e., if the sides of a triangle satisfy the Pythagorean equation, then the triangle is a right triangle which is known as the Converse of the Pythagorean Theorem) Explore right triangles, using technology, using the Pythagorean Theorem to identify Pythagorean triples (e.g., 3, 4, 5 or 5, 12, 13), hypothesize about the nature of triangles with side lengths that are multiples of the Pythagorean triples, verify the hypothesis. Create solve problems involving the Pythagorean Theorem, Pythagorean triples, or the Converse of the Pythagorean Theorem. Find the Mistake Checking Solutions Equations with Grouping Symbols Equations with Grouping Symbols Equations to Solve Problems Equations to Solve Problems Pythagorean Triads Pythagorean Triads Pythagorean Triads Pythagoras' Theorem Equations Equations Equations Equations Equations Pythagoras' Theorem Pythagoras' Theorem Pythagoras' Theorem 47 3P Learning

51 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Shape Shape Shape Pythagorean Theorem Surface area of 3-D objects Surface area of 3-D objects SS8.1.e SS8.2.a SS8.2.b Give a presentation that explains a historical or personal use or story of the Pythagorean Theorem (e.g., Pythagoras his denial of irrational numbers, the use of the 3:4:5 right triangle ratio in the Pyramids, squaring off the corner of a sbox being built for a sibling, or determining the straight line distance between two towns to be travelled on a snowmobile). Manipulate concrete 3-D objects to identify, describe, sketch top, front, side views of the 3-D object on isometric paper. Sketch a top, front, or side view of a 3-D object that is within the classroom or that is personally relevant, ask a peer to identify the 3-D object it represents. Pythagorean Triads Pythagoras' Theorem Pythagoras' Theorem Shape Surface area of 3-D objects SS8.2.c Predict the top, front, side views for a 3-D object that is to be rotated by a multiple of 90, discuss the reasoning for the prediction, then verify concretely pictorially. Shape Surface area of 3-D objects SS8.2.d Identify describe nets of 3-D objects that are used in everyday experiences (e.g., such as patterns or materials for clothing banker boxes). Nets Measuring Solids Shape Shape Shape Surface area of 3-D objects Surface area of 3-D objects Surface area of 3-D objects SS8.2.e SS8.2.f SS8.2.g Relate the parts (using one-to-one correspondence) of a net to the faces edges of the 3-D object it represents. Create a net for a 3-D object, have a peer predict the type of 3-D object that the net represents, explain to the peer the reasoning used in designing the net, have the peer verify the net by constructing the 3-D object from the net. Build a 3-D object made of right rectangular prisms based on the top, front, side views (with without the use of technology). Nets Nets Nets Measuring Solids Measuring Solids Measuring Solids 3P Learning 48

52 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Shape Shape Shape Shape Shape Shape Shape Shape Surface area of 3-D objects SS8.2.h Demonstrate how the net of a 3-D object (including right rectangular prisms, right triangular prisms, cylinders) can be used to determine the surface area of the 3-D object describe strategies used to determine the surface area. Generalize apply strategies for Surface area of 3-D objects SS8.2.i determining the surface area of 3-D objects. Create solve personally relevant Surface area of 3-D objects SS8.2.j problems involving the surface area or nets of 3-D objects. Volume of right prisms cylinders Volume of right prisms cylinders Volume of right prisms cylinders Volume of right prisms cylinders Volume of right prisms cylinders SS8.3.a SS8.3.b SS8.3.c SS8.3.d SS8.3.e Identify situations from one s home, school, or community in which the volume of right prism or right cylinder would need to be determined. Describe the relationship between the area of the base of a right prism or right cylinder the volume of the 3-D object. Generalize apply formulas for determining the area of a right prism right cylinder. Explain the effect of changing the orientation of a right prism or right cylinder on the volume of the 3-D object. Create solve personally relevant problems involving the volume of right prisms right cylinders. Surface Area: Cylinders Surface Area: Rectangular Prisms Surface Area: Triangular Prisms Surface Area: Cylinders Surface Area: Rectangular Prisms Surface Area: Triangular Prisms Surface Area: Cylinders Surface Area: Rectangular Prisms Surface Area: Triangular Prisms Volume: Cylinders Volume: Rectangular Prisms 2 Volume: Triangular Prisms Volume: Cylinders Volume: Rectangular Prisms 2 Volume: Triangular Prisms Volume: Cylinders Volume: Rectangular Prisms 2 Volume: Triangular Prisms Volume: Cylinders Volume: Rectangular Prisms 2 Volume: Triangular Prisms Volume: Cylinders Measuring Solids Measuring Solids Measuring Solids Measuring Solids Measuring Solids Measuring Solids Measuring Solids Measuring Solids 49 3P Learning

53 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Shape Shape Shape Pythagorean Theorem Surface area of 3-D objects Surface area of 3-D objects SS8.1.e SS8.2.a SS8.2.b Give a presentation that explains a historical or personal use or story of the Pythagorean Theorem (e.g., Pythagoras his denial of irrational numbers, the use of the 3:4:5 right triangle ratio in the Pyramids, squaring off the corner of a sbox being built for a sibling, or determining the straight line distance between two towns to be travelled on a snowmobile). Manipulate concrete 3-D objects to identify, describe, sketch top, front, side views of the 3-D object on isometric paper. Sketch a top, front, or side view of a 3-D object that is within the classroom or that is personally relevant, ask a peer to identify the 3-D object it represents. Pythagorean Triads Pythagoras' Theorem Pythagoras' Theorem Shape Surface area of 3-D objects SS8.2.c Predict the top, front, side views for a 3-D object that is to be rotated by a multiple of 90, discuss the reasoning for the prediction, then verify concretely pictorially. Shape Surface area of 3-D objects SS8.2.d Identify describe nets of 3-D objects that are used in everyday experiences (e.g., such as patterns or materials for clothing banker boxes). Nets Measuring Solids Shape Shape Shape Surface area of 3-D objects Surface area of 3-D objects Surface area of 3-D objects SS8.2.e SS8.2.f SS8.2.g Relate the parts (using one-to-one correspondence) of a net to the faces edges of the 3-D object it represents. Create a net for a 3-D object, have a peer predict the type of 3-D object that the net represents, explain to the peer the reasoning used in designing the net, have the peer verify the net by constructing the 3-D object from the net. Build a 3-D object made of right rectangular prisms based on the top, front, side views (with without the use of technology). Nets Nets Nets Measuring Solids Measuring Solids Measuring Solids 3P Learning 50

54 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Shape Shape Shape Shape Shape Shape Tessellation Tessellation Tessellation Tessellation Tessellation Tessellation SS8.4.a SS8.4.b SS8.4.c SS8.4.d SS8.4.e SS8.4.f Identify, describe (in terms of translations, reflections, rotations, combinations of any of the three), reproduce (concretely or pictorially) a tessellation that is relevant to self, family, or community (e.g., a Star Blanket or wall paper). Predict verify which of a given set of 2-D shapes (regular irregular) will tessellate generalize strategies for determining whether a new 2-D shape will tessellate (i.e., an angle must be a factor of 360 ). Identify one or more 2-D shapes that will tessellate with a given 2-D shape explain the choice (e.g., knowing that the sum of the measures of one angle from each of the 2-D shapes must be a factor of 360, if the given shape has an angle of 12, then two shapes with angles of 13 5 can be used to tessellate with the original shape because =30 which is a factor of 360 these shapes would need to be repeated at least 12 times because 30 x 12 is 360). Design create (concretely or pictorially) a tessellation involving one or more 2-D shapes, document the mathematics involved within the tessellation (e.g., types of transformations, measures of angles, or types of shapes). Identify different transformations (translations, reflections, rotations, combinations of any of the three) present within a tessellation. Make a new tessellating shape (polygonal or non-polygonal) by transforming a portion of a known tessellating shape use the new shape to create an Eschertype design that can be used as a picture or wrapping paper. 51 3P Learning

55 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Statistics Statistics Statistics Statistics Modes of displaying data Modes of displaying data Modes of displaying data Modes of displaying data SP8.1.a SP8.1.c SP8.1.d SP8.1.e Investigate report on the advantages disadvantages of different types of graphs, including circle graphs, line graphs, bar graphs, double bar graphs, pictographs (e.g., circle graphs are good for qualitative data such as favourite activities categories such as money spent on clothes, whereas line graphs are good for quantitative data such as heights ages Suggest alternative ways to represent data from a given situation explain the choices made. Find examples of graphs of data in media personal experiences interpret the information in the graphs for personal value. Analyze a data graph found in media for features that might bias the interpretation of the graph (such as the size of intervals, the width of bars, the visual representation) suggest alterations to remove or downplay the bias. Line Graphs: Interpretation Line Graphs: Interpretation Line Graphs: Interpretation Sector Graphs Circle Graphs Pie Charts Divided Bar Graphs Compound Bar Chart Negative or Positive? Frequency Histograms Histograms Histogram or Polygon? Line Graphs: Interpretation Line Graphs: Interpretation Line Graphs: Interpretation Sector Graphs Circle Graphs Pie Charts Divided Bar Graphs Compound Bar Chart Negative or Positive? Frequency Histograms Histograms Histogram or Polygon? Line Graphs: Interpretation Line Graphs: Interpretation Line Graphs: Interpretation Sector Graphs Circle Graphs Pie Charts Divided Bar Graphs Compound Bar Chart Negative or Positive? Frequency Histograms Histograms Histogram or Polygon? Line Graphs: Interpretation Line Graphs: Interpretation Line Graphs: Interpretation Sector Graphs Circle Graphs Pie Charts Divided Bar Graphs Compound Bar Chart Negative or Positive? Frequency Histograms Histograms Histogram or Polygon? Data Grade 10 Interpreting Data Data Grade 10 Interpreting Data Data Grade 10 Interpreting Data Data Grade 10 Interpreting Data 3P Learning 52

56 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Statistics Statistics Statistics Modes of displaying data of independent events of independent events SP8.1.f SP8.2.a SP8.2.b Provide examples of misrepresentations of data data graphs found within different media explain what types of misinterpretations might result from such displays. Ask questions relevant to self, family, or community in which probabilities involving two events are known or which can be researched. Explore explain the relationship between the probability of two independent events the probability of each event separately. Line Graphs: Interpretation Line Graphs: Interpretation Line Graphs: Interpretation Sector Graphs Circle Graphs Pie Charts Divided Bar Graphs Compound Bar Chart Negative or Positive? Frequency Histograms Histograms Histogram or Polygon? Line Graphs: Interpretation Line Graphs: Interpretation Line Graphs: Interpretation Sector Graphs Circle Graphs Pie Charts Divided Bar Graphs Compound Bar Chart Negative or Positive? Frequency Histograms Histograms Histogram or Polygon? Line Graphs: Interpretation Line Graphs: Interpretation Line Graphs: Interpretation Sector Graphs Circle Graphs Pie Charts Divided Bar Graphs Compound Bar Chart Negative or Positive? Frequency Histograms Histograms Histogram or Polygon? Data Grade 10 Interpreting Data Data Grade 10 Interpreting Data Data Grade 10 Interpreting Data 53 3P Learning

57 Grade 8 Str Substr Outcome Outcome Description Activities ebooks Statistics Statistics of independent events of independent events SP8.2.c SP8.2.d Make test predictions about the results of experiments simulations for two independent events. Create solve problems related to independent events, probabilities of independent events, decision making. Line Graphs: Interpretation Line Graphs: Interpretation Line Graphs: Interpretation Sector Graphs Circle Graphs Pie Charts Divided Bar Graphs Compound Bar Chart Negative or Positive? Frequency Histograms Histograms Histogram or Polygon? Simple Scale Data Grade 10 Interpreting Data Chance Chance 3P Learning 54

58 Str Substr Outcome Outcome Description Activities ebooks Powers with integral bases (excluding base 0) whole number exponents Powers with integral bases (excluding base 0) whole number exponents Powers with integral bases (excluding base 0) whole number exponents Powers with integral bases (excluding base 0) whole number exponents Powers with integral bases (excluding base 0) whole number exponents Powers with integral bases (excluding base 0) whole number exponents Powers with integral bases (excluding base 0) whole number exponents N9.1.a N9.1.b N9.1.c N9.1.d N9.1.e N9.1.f N9.1.g Demonstrate the difference between the exponent base of a power by representing two powers with exponent base interchanged (e.g., 2³ 3² or 10³ 3 10 ) using repeated multiplication or concrete models describe the result. Predict which of two powers represents the greater quantity, explain the reasoning, verify using technology. Analyze the role of brackets in powers by using repeated multiplication [e.g., ( 2) 4, ( 2 4 ), 2 4 ] generalize strategies for evaluating powers involving brackets. Justify why a 0, a 0, must equal to 1. Predict whether the value of a given power will be positive or negative (e.g., what will the sign of be?). Evaluate powers with integral bases (excluding base 0) whole number exponents, with or without the use of technology. Generalize, using repeated multiplication to represent powers, the exponent laws of powers with integral bases (excluding base 0) whole number exponents Exponents Exped Notation Exponents Exped Notation Negative Indices Integer Exponents Exponent Form to s Negative Indices Integer Exponents Exponent Form to s Exponent Form to s The Zero Exponent Negative Indices Integer Exponents Fractional Exponents Multiplication with Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents 55 3P Learning

59 Str Substr Outcome Outcome Description Activities ebooks Powers with integral bases (excluding base 0) whole number exponents Powers with integral bases (excluding base 0) whole number exponents Powers with integral bases (excluding base 0) whole number exponents Powers with integral bases (excluding base 0) whole number exponents Rational numbers Rational numbers N9.1.h N9.1.i N9.1.j N9.1.k N9.2.a N9.2.b Apply the exponent laws to expressions involving powers, determine the quantity represented by the expression, with or without the use of technology. Prove by contradiction that am+an amn, am-an am-n, am-an am/n Describe apply strategies for evaluating sums or differences of powers. Analyze a simplification of an expression involving powers for errors. Order a given set of rational numbers, in fraction decimal form, by placing them on a number line explaining the reasoning used (e.g., 3/5, , 4,, 0.5, -5/8). Determine a rational number between two given rational numbers describe the strategy used. Exponent Form to s Negative Indices Integer Exponents Fractional Exponents Multiplication with Exponents Fractional Exponents Simplifying with Exponent Laws 2 Simplifying with Exponent Laws 1 Exponent Form to s Negative Indices Integer Exponents Fractional Exponents Multiplication with Exponents Fractional Exponents Simplifying with Exponent Laws 2 Simplifying with Exponent Laws 1 Simplifying with Exponent Laws 1 Simplifying with Exponent Laws 2 Simplifying with Exponent Laws 1 Simplifying with Exponent Laws 2 Equivalent Fractions on a Line 1 Equivalent Fractions on a Line 2 Identifying Fractions on a Line Equivalent Fractions on a Line 1 Equivalent Fractions on a Line 2 Identifying Fractions on a Line Exponents Exponents Exponents Exponents 3P Learning 56

60 Str Substr Outcome Outcome Description Activities ebooks Rational numbers Rational numbers N9.2.c N9.2.d Create a representation depicting how whole numbers, fractions, decimals, integers, square roots, rational numbers are related to each other. Provide examples to explain how knowing about how to add, subtract, multiply, divide integers positive rational numbers informs knowing how to add, subtract, multiply, divide rational numbers. Equivalent Fractions on a Line 1 Equivalent Fractions on a Line 2 Identifying Fractions on a Line Add: Common Denominator Add: No Common Denominator Subtract: Common Denominator Subtract: No Common Denominator Common Denominator No Common Denominator Add Like Fractions Add Like Mixed s Add Mixed s: Same Sign Add Mixed s: Signs Differ Add Unlike Fractions Add Unlike Mixed s Subtract Like Fractions Subtract Like Mixed s Subtract Mixed s: Renaming Subtract Mixed s: Signs Differ Subtract Negative Mixed s Multiplying Fractions Multiply Two Fractions 1 Multiply Two Fractions 2 Dividing Fractions Add Decimals 1 Add Decimals 2 Add Decimals: Different Signs Add Decimals: Same Sign Adding Subtracting Decimals Adding Decimals Decimal by Decimal Decimal by Whole Decimal by Whole Decimal Complements Divide Decimal by Decimal Fractions Decimals 57 3P Learning

61 Str Substr Outcome Outcome Description Activities ebooks Rational numbers N9.2.e Provide examples to demonstrate how the order of operations can be extended to rational numbers. Integers: Order of Operations Order of Operations 1 Order of Operations 2 Rational numbers Rational numbers Square roots Square roots Square roots Square roots Square roots Square roots Square roots N9.2.f N9.2.g N9.3.a N9.3.b N9.3.c N9.3.d N9.3.e N9.3.f N9.3.g Solve situational questions involving operations on rational numbers, with or without the use of technology. Analyze a simplification of an expression involving rational numbers for errors. Develop a generalization about what type of number results from the squaring of a rational number. Describe strategies for determining if a rational number is a perfect square. Determine the square root of a rational number that is a perfect square. Determine the rational number for which a given rational number is its square root (e.g., 4/3 is the square root of what rational number?). Explain apply strategies involving benchmarks for determining an estimate of the square root of a rational number that is not a perfect square. Determine, with the use of technology, an approximate value for the square root of a rational number that is not a perfect square. Explain why the value shown by technology may only be an approximation of the square root of a rational number. Percentage Word Problems Fraction Word Problems Percentage Word Problems Fraction Word Problems Square Roots Square Roots Square Roots Square Roots Square Roots Square Roots Estimating Square Roots Estimating Square Roots Estimating Square Roots Grade 8 Percentage Calculations Grade 8 Percentage Calculations Whole Whole Whole Whole Whole Whole 3P Learning 58

62 Str Substr Outcome Outcome Description Activities ebooks Shape Shape Shape Shape Shape Shape Shape Square roots N9.3.h Square roots N9.3.i Circle properties Circle properties Circle properties Circle properties Circle properties Circle properties Circle properties SS9.1.a SS9.1.b SS9.1.c SS9.1.d SS9.1.e SS9.1.f SS9.1.g Describe a strategy that, if applied to writing a decimal number, would result in an irrational number (e.g., students describe a strategy in which they repeatedly write the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 but separate each group of these digits by an increasing number of repeats of the digit 7 or ). One number between these is 6/36 or 8/36). Observe describe situations relevant to self, family, or community that involve circles, chords, central angles, inscribed angles, radii, arcs, /or points of tangency. Construct a tangent line to a circle by applying the knowledge that a tangent line to the circle is perpendicular to a radius of the circle. Generalize, from personal explorations, the relationship between the measures of inscribed angles subtended by the same arc. Generalize, from personal explorations, the relationship between the measure of a central angle the measure of inscribed angles subtended by the same arc. Generalize, from personal explorations, the relationship between a perpendicular line segment from the centre of a circle to a chord the chord. Model how to find the diameter of a circle using an inscribed angle of 90 explain why the strategy works. Describe examples of where First Nations Métis, past present, lifestyles worldviews demonstrate one or more of the circle properties (e.g., tipi medicine wheel). Estimating Square Roots Estimating Square Roots Circle Terms Circle Terms Circle Theorem Circle Theorem Circle Theorem Whole Whole Grade 10 Chords Angles Grade 10 Chords Angles Grade 10 Chords Angles Grade 10 Chords Angles Grade 10 Chords Angles Grade 10 Chords Angles Grade 10 Chords Angles 59 3P Learning

63 Str Substr Outcome Outcome Description Activities ebooks Shape Circle properties SS9.1.h Solve a situational question involving the application of one or more of the circle properties. Perimeter Circles Circle Theorem Grade 10 Chords Angles Shape Shape Shape Surface area of right rectangular prisms, right cylinders, right triangular prisms, composite 3-D objects Surface area of right rectangular prisms, right cylinders, right triangular prisms, composite 3-D objects Surface area of right rectangular prisms, right cylinders, right triangular prisms, composite 3-D objects SS9.2.a SS9.2.b SS9.2.c Describe 3-D composite objects from the natural constructed world, including objects relevant to First Nations Métis people (e.g., Mesoamerican pyramids). Analyze a composite 3-D object to identify areas of overlap explain the impact of these areas on determining the surface area of the composite 3-D object. Critique the statement To find the surface area of a composite 3-D object, add together the surface areas of the individual 3-D objects from which the composite 3-D object is comprised. Nets Surface Area: Cones Surface Area: Cuboids Surface Area: Cylinders Surface Area: Rectangular Prisms Surface Area: Rectangular Prisms Surface Area: Rectangular Pyramids Surface Area: Spheres Surface Area: Square Pyramids Surface Area: Triangular Prisms Surface Area: Triangular Prisms Nets Surface Area: Cones Surface Area: Cuboids Surface Area: Cylinders Surface Area: Rectangular Prisms Surface Area: Rectangular Prisms Surface Area: Rectangular Pyramids Surface Area: Spheres Surface Area: Square Pyramids Surface Area: Triangular Prisms Surface Area: Triangular Prisms Measuring Solids Measuring Solids 3P Learning 60

64 Str Substr Outcome Shape Shape Shape Shape 61 3P Learning Surface area of right rectangular prisms, right cylinders, right triangular prisms, composite 3-D objects Surface area of right rectangular prisms, right cylinders, right triangular prisms, composite 3-D objects Surface area of right rectangular prisms, right cylinders, right triangular prisms, composite 3-D objects Surface area of right rectangular prisms, right cylinders, right triangular prisms, composite 3-D objects SS9.2.d SS9.2.e SS9.2.f SS9.2.g Outcome Description Determine the surface area of composite 3-D objects. Solve situational questions involving the surface area of composite 3-D objects. Give dimensions for a single 3-D object that will have the same surface area as a composite 3-D object. Approximate the surface area of a 3-D object from the natural environment using composites of stard 3-D objects such as right rectangular prisms, right cylinders, right triangular prisms. Activities ebooks Nets Surface Area: Cones Surface Area: Cuboids Surface Area: Cylinders Surface Area: Rectangular Prisms Surface Area: Rectangular Prisms Surface Area: Rectangular Pyramids Surface Area: Spheres Surface Area: Square Pyramids Surface Area: Triangular Prisms Surface Area: Triangular Prisms Nets Surface Area: Cones Surface Area: Cuboids Surface Area: Cylinders Surface Area: Rectangular Prisms Surface Area: Rectangular Prisms Surface Area: Rectangular Pyramids Surface Area: Spheres Surface Area: Square Pyramids Surface Area: Triangular Prisms Surface Area: Triangular Prisms Nets Surface Area: Cones Surface Area: Cuboids Surface Area: Cylinders Surface Area: Rectangular Prisms Surface Area: Rectangular Prisms Surface Area: Rectangular Pyramids Surface Area: Spheres Surface Area: Square Pyramids Surface Area: Triangular Prisms Surface Area: Triangular Prisms Nets Surface Area: Cones Surface Area: Cuboids Surface Area: Cylinders Surface Area: Rectangular Prisms Surface Area: Rectangular Prisms Surface Area: Rectangular Pyramids Surface Area: Spheres Surface Area: Square Pyramids Surface Area: Triangular Prisms Surface Area: Triangular Prisms Measuring Solids Measuring Solids Measuring Solids Measuring Solids

65 Str Substr Outcome Outcome Description Activities ebooks Shape Similarity of 2-D shapes SS9.3.a Observe describe 2-D shapes, relevant to self, family, or community, that are similar. Collect the Shapes Collect the Shapes 1 Shape Shape Shape Shape Shape Shape Shape Shape Shape Shape Shape Statistics Similarity of 2-D shapes Similarity of 2-D shapes Similarity of 2-D shapes Similarity of 2-D shapes Similarity of 2-D shapes Similarity of 2-D shapes Similarity of 2-D shapes Similarity of 2-D shapes Similarity of 2-D shapes Similarity of 2-D shapes Similarity of 2-D shapes Effects on data collection SS9.3.b SS9.3.c SS9.3.d SS9.3.e SS9.3.f SS9.3.g SS9.3.h SS9.3.i SS9.3.j SS9.3.k SS9.3.l SP9.1.a Explain the difference between similarity congruence of polygons. Verify whether or not two polygons are similar. Explain how ratios proportionality are related to similarity of polygons. Draw a polygon similar to a given polygon explain the strategies used. Solve situational questions involving the similarity of polygons. Identify describe situations relevant to self, family, or community that involve scale diagrams explain the meaning of the scale factor involved. Explain how scale diagrams are related to similarity, ratios, proportionality. Draw a diagram to scale that represents an enlargement or reduction of a given 2-D shape explain the strategies used. Explain how to determine the scale factor for a given 2-D shape an enlargement or reduction of the shape. Verify whether or not a given diagram is a scale diagram of a 2-D shape, if it is, identify the scale factor for the diagram. Solve situational questions involving scale diagrams scale factors. Analyze given case studies of data collection, including data pertaining to First Nations Métis peoples, identify potential problems related to bias, use of language, ethics, cost, time timing, privacy, or cultural sensitivity. Similar Figures Similar Figures Similar Figures Similar Figures Perimeter, Area, Dimension Change Similar Areas Volumes Using Similar Triangles Scale Factor Scale Factor Scale Factor Scale Factor Scale Factor Scale Factor Scale Measurement Similarity Congruence Similarity Congruence Similarity Congruence Similarity Congruence Similarity Congruence Similarity Congruence Similarity Congruence Similarity Congruence Similarity Congruence Similarity Congruence Similarity Congruence 3P Learning 62

66 Str Substr Outcome Outcome Description Activities ebooks Statistics Statistics Statistics Statistics Statistics Statistics Statistics Statistics Statistics Statistics Statistics Effects on data collection Effects on data collection Effects on data collection Effects on data collection Effects on data collection Effects on data collection Effects on data collection Collection, display, analysis of data Collection, display, analysis of data Collection, display, analysis of data in society SP9.1.b SP9.1.c SP9.1.d SP9.1.e SP9.1.f SP9.1.g SP9.1.h SP9.2.a SP9.2.b SP9.2.c SP9.3.a Provide examples to illustrate how bias, use of language, ethics, cost, time timing, privacy, or cultural sensitivity may influence the data collected. Identify situations relevant to self, family, or community where a set of data was collected classify each situation as involving a sample or the population. Provide an example of a situation in which a population may be used to answer a question, justify the choice. Provide an example of a question where a limitation precludes the use of a population describe the limitation (e.g., too costly, not enough time, limited resources). Identify critique given examples in which a generalization from a sample of a population, including from First Nations Métis data, may or may not be valid for the population. Explain different strategies for trying to minimize negative effects on data collection. Explain the importance of protocols for respectful data collection information sharing. Devise a project plan related to a situation relevant to self, family, or community Create apply a rubric to assess a project that includes the assessment of all requirements for the project. Complete the project according to the plan, draw conclusions, communicate findings to an audience. Observe examples of probabilities that impact or influence aspects of one s self, family, community, or environment describe those impacts or influences. Scale Scale Without Replacement Find the Two-way Table Dice Coins 63 3P Learning

67 Str Substr Outcome Outcome Description Activities ebooks Statistics Statistics Statistics Statistics Statistics Statistics in society in society in society Research present how First Nations Métis peoples, past present, envision, represent, make use of probability statistics. Research present how First Nations Métis peoples, past present, envision, represent, make use of probability statistics. Research present how First Nations Métis peoples, past present, envision, represent, make use of probability statistics. SP9.3.b SP9.3.c SP9.3.d SP9.4.a SP9.4.b SP9.4.c Analyze the meaningfulness of a probability against the limitations of assumptions associated with that probability. Provide examples of how a single probability could be used to support opposing positions. Explain, using examples, how decisions based on probability may be a combination of theoretical probability, experimental probability, subjective judgement. Gather document information regarding the significance use of probability statistics for at least one First Nation or Métis peoples from a variety of sources such as Elders traditional knowledge keepers. Compare the significance, representation, use of probability statistics for different First Nations Métis peoples, other cultures. Communicate concretely, pictorially, orally, visually, physically, /or in writing, what has been learned about the envisioning, representing, use of probability statistics by First Nations Métis peoples how these understings parallel, differ from, enhance one s own mathematical understings about probability statistics. Relative Frequency Scale Scale Without Replacement Find the Two-way Table Dice Coins Relative Frequency Data 3P Learning 64

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