Everyday Mathematics Grade 5 Mathematics Curriculum Guides

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1 Everyday Mathematics Grade 5 Mathematics Curriculum Guides Wisconsin Mathematics Standard MPS Learning Target Wisconsin Assessment Descriptors for Mathematics (For Beginning Grade 6) Curriculum Throughout The Year A. Mathematical Processes Note: Mathematical processes need to be embedded in all mathematical strands throughout the school year. Math processes are assessed on the WKCE-CRT and reported as a separate proficiency area. For example, students are asked to provide written justifications and explanations, pose problems, and represent concepts. 1) Reasoning: Use reasoning and logic to: Perceive patterns Identify relationships Formulate questions Pose problems Make conjectures Justify strategies Test reasonableness of results 2) Communication: Communicate mathematical ideas and reasoning using the vocabulary of mathematics in a variety of ways (e.g., using words, numbers, symbols, pictures, charts, tables, diagrams, graphs, and models). 3) Connections: Connect mathematics to the real world as well as within mathematics. 4) Representations: Create and use representations to organize, record, and communicate mathematical ideas. 5) Problem Solving: Solve and analyze routine and non-routine problems. 1

2 Time September 19 teaching Curricular Connections Units/Lessons Unit 1 Number Theory 1.1 Introduction to the Student Reference Book ( NO& R, G) 1.2 Rectangular Arrays (NO&R, AR) 1.3 Factors ( NO&R, AR) 1.4 The Factor Captor Game 1.5 Divisibility ( NO&R) 1.6 Prime and Composite Numbers ( NO&R) 1.7 Square Numbers ( NO&R) 1.8 Unsquaring Numbers (NO& R) 1.9 Factor Strings and Prime Factorization 1.10 Progress Check 1 MPS Learning Targets Wisconsin State Framework Assessment Descriptors Connections District Model CABS Relationships MPS Number Relationships #1 Operations and Pose real-world problems, and B.a:1 Recognize and apply place-value concepts to whole Relationships use strategies, including number numbers less than 10,000,000. (1.1) CABS #5 and #6 theory concepts and place value, to compare numbers, B.a:2 Read, write, and represent numbers using words, make estimates, and solve numerals, pictures (base-ten blocks), number lines, arrays single and multi-step word expanded forms (12,436=10,000+2, ), and problems. (1.1, 1.3, 1.4, 1.5, symbolic reasoning e.g., 12,436=12, (1.1) 1.6, 1.7, 1.8, 1.9, 2.1, 2.2) Geometry #3 Describe, construct, and classify polygons and polyhedrons using properties (e.g., angles, lines of symmetry, parallel lines, similarity) of plane and coordinate geometry. (1.1) Algebraic Relationships Apply and justify use of equations, inequalities, properties (e.g., distributive, 4x27=4x25+4x2), and order of operations to represent and solve one-step and two-step problems with and without context. (1.2, 1.3) B.a:4 Identify and use number theory concepts: Prime and composite numbers Divisibility potential of numbers (divisors1-10, 25) Least common multiples through 24 Greatest common factors through 50 (1.1, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9) B.b:16 Solve problems using basic multiplication and division facts.(1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9) Geometry C.a:3 Classify plane figures by characteristics of angles (acute, obtuse, and right) and describe rays found in openangle situations. (1.1) Algebraic Relationships F.c:12 Use the commutative property of multiplication with positive single digits. (1.2, 1.3) F.c:13 Use the inverse relationship of division and multiplication with single whole digits. (1.3) 2

3 September 19 teaching Unit 2 Estimation and Computation 2.1 Estimation Challenge (NO& R, M) 2.2 Addition of whole Numbers and Decimals 2.3 Subtraction of Whole Numbers and Decimals 2.4 Addition and Subtraction Number Stories (NO&R, AR) 2.5 Estimate Your Reaction Time (NO&R, Stat/Prob) 2.6 Chance Events (NO&R, Stat/Prob) 2.7 Estimating Products (NO& R) 2.8 Multiplication of Whole Numbers and Decimals 2.9 The Lattice Method of Multiplication 2.10 Comparing Millions, Billions, and Trillions 2.11 Progress Check 2 Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems. (2.5, 2.7, 2.8, 2.10) Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (2.1, 2.2, , 2.7, 2.8, 2.10, 3.1, 3.2) Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (2.1) #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (2.5, 2.6, 3.1, 3.2) Relationships B.a:1 Recognize and apply place-value concepts to whole numbers less than 10,000,000. (2.10) B.a:2 Recognize and apply place-value concepts to whole numbers less than 10,000,000. (2.10, 3.2) B.a: 12 Identify and represent equivalence between fractions, percents, and decimals. (2.6, 3.1) B.b:13 Use all operations in everyday situations to solve single or multi-step word problems. (2.2, 2.4, 3.2) B.b:14 Solve three and four-digit addition and subtraction with regrouping, multiplication of three-digit by two-digit numbers, division with single-digit divisors and four-digit dividends with two-step or mixed operation problems. (2.2, 2.3, 2.4, 2.8, 2.9) B.b:15 Compute with decimals in the context of money and make change. (2.3, 2.4) B.b:19 Estimate using basic whole number operations, benchmark fractions, and benchmark decimals. (2.1, 2.2, 2.5, 2.7, 2.8, 2.10) B.b:20 Determine reasonableness of answers.(2.1, 2.2, 2.7, 2.8, 2.10) Measurement D.a:3 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (2.1) MPS Stat & Prob CABS #9a & #9b 3

4 #7 Describe the difference between theoretical and experimental probabilities, determine the likelihood and fairness of events, and explain why probabilities are represented as fractions and percents from 0 to 1. (2.6) Algebraic Relationships #9 Apply and justify use of equations, inequalities, properties (e.g., distributive, 4x27=4x25+4x2), and order of operations to represent and solve one-step and two-step problems with and without context. (2.4) E.a:2 Collect, organize, and display data in appropriate graphs or charts. (2.5, 2.6) E.a:3 Draw reasonable conclusions based on contextual data. (2.5, 2.6) E.a:6 Describe a given set of data of ten or fewer items/numbers using the terms mean, median, mode, and range to extract information from organized charts, tables, graphs, and Venn diagrams in problems with and without context. (2.6) E.b:7 Determine the likelihood of future events, predict outcomes of future events, and test predictions using data from a variety of sources. (2.6) E.b:9 Determine the probability of events in context using words, percents, or fractions. (2.6) Algebraic Relationships F.b: 7 Solve one-step equations with box variable and whole number coefficients in problems with and without context using whole number coefficients. (2.4) 4

5 October 20 teaching Unit 3 Geometry Explorations and the American Tour 3.1 Introduction to the American Tour (NO&R, Stat/Prob) 3.2 American Tour: Population Data (NO&R, Stat/Prob) 3.3 Exploring Angle Measures (M) 3.4 Using a Protractor (G, M) 3.5 Using a Compass (G, M) 3.6 Congruent Triangles (G, M) 3.7 Properties of Polygons (G) 3.8 Regular Tessellations (G, M) 3.9 Angles of Polygons (G, M, Stats/Prob) 3.10 Solving problems using the Geometry Template (G, M) 3.11 Progress Check 3 Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (3.1, 3.2) Geometry #3 Describe, construct, and classify polygons and polyhedrons using properties (e.g., angles, lines of symmetry, parallel lines, similarity) of plane and coordinate geometry. ( , 3.5, 3.7, 3.9, 3.10, 3.11)) Geometry #4 Evaluate the results of transformations from rigid motions and movement between polyhedra and nets, and describe three-dimensional figures from multiple perspectives. (3.6, 3.8) Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 3.10) Relationships B.a:2 Recognize and apply place-value concepts to whole numbers less than 10,000,000. (3.2) B.a: 12 Identify and represent equivalence between fractions, percents, and decimals. 3.1) B.b:13 Use all operations in everyday situations to solve single or multi-step word problems. (3.2) Geometry C.a:3 Classify plane figures by characteristics of angles (acute, obtuse, and right) and describe rays found in openangle situations (3.3, 3.4, 3.5, 3.6, 3.7) C.b:7 Use slides, flips, and turns on figures. Identify congruent shapes using figures that have been manipulated by one or two motions (slides, flips, and turns. (3.8) C.a:3 Classify plane figures by characteristics of angles (acute, obtuse, and right) and describe rays found in openangle situations (3.9, 3.10, 3.11) Measurement D.b:5 Determine angle measurement to nearest five degrees using a protractor. (3.3, 3.4, 3.6, 3.9, 3.10, 3.11)) D.b:6 Read and interpret measuring instruments to determine the measurement of objects with standard units (U.S. customary). (3.3, 3.4, 3.5, 3.9, 3.10, 3.11) E.a:3 Draw reasonable conclusions based on contextual data. (3.1) E.a:4 Use data to predict outcomes or trends from graphs and tables. (3.1) E.a:5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams. (3.1, 3.2) MPS District Model CABS Geometry #4 Measurement #9 5

6 #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (3.1, 3.2) 6

7 November 23 teaching Unit 4 Division 4.1 Division Facts and Extensions 4.2 The Partial-Quotients Division Algorithm 4.3 American Tour: Finding Distances on a Map (NO&R, M, AR) 4.4 Partial-Quotients Algorithm Strategies 4.5 Division of Decimals 4.6 Interpreting the Remainder (NO&R, AR) 4.7 Skills Review with First to 100 (NO&R, AR) 4.8 Progress Check 4 Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems.(4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8) Relationships B.a:4 Identify and use number theory concepts: Prime and composite numbers Divisibility potential of numbers (divisors1-10, 25) Least common multiples through 24 Greatest common factors through 50 (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8) B.b: 13 Use all operations in everyday situations to solve single or multi-step word problems. (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8) B.b: 14 Solve three and four-digit addition and subtraction with regrouping, multiplication of three-digit by two-digit numbers, division with single-digit divisors and four-digit dividends with two-step or mixed operation problems. (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8) B.b: 15 Compute with decimals in the context of money and make change. (4.5) B.b: 16 Solve problems using basic multiplication and division facts. (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8) B.b: 20 Determine reasonableness of answers. (4.1, 4.2, 4.4, 4.5, 4.6, 4,7, 4.8) MPS District Model CABS Number Operations and Relationships #2, #3 7

8 December 15 teaching Unit 5 Fractions, Decimals, and Percents 5.1 Fraction Review 5.2 Mixed Numbers 5.3 Comparing and Ordering Fractions 5.4 Two Rules for Finding Equivalent Fractions 5.5 Fractions and Decimals: Part Fractions and Decimals: Part Fractions and Decimals: Part Using a Calculator to Convert Fractions to Percents 5.9 Bar and Circle Graphs (NO&R, Stats/Prob) 5.10 The Percent Circle: Reading Circle Graphs (NO&R, M, Stats/Prob) 5.11 The Percent Circle: Making Circle Graphs (NO&R, Stats/Prob) Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (5.1, 5.2, 5.3, 5.4, 5.5, , 5.8, 5.9, 5.10) #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (5.9, 5.10) Relationships B.a: 9 Read, write, identify, order, and compare mixed fractions. (5.1, 5.2, 5.3) B.a: 10 Represent fractions using numbers, pictures, and number lines. (5.1, 5.2, 5.3, 5.9, 5.10) B.a: 11 Rename improper fractions to mixed numbers in lowest terms. (5.5, 5.6) B.b: 12 Identify and represent equivalence between fractions, percents, and decimals. (5.7, 5.8) B.b: 17 Rename improper fractions. (5.2, 5.5, 5.6) B.b: 19 Estimate using basic whole number operations, benchmark fractions, and benchmark decimals. (5.1, 5.2, 5.3) B.b: 20 Determine reasonableness of answers (5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10) E.a:5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams. (5.9, 5.10) MPS District Model CABS Number Operations and Relationships #10a, #10b 8

9 5.12 American Tour: School Days (Stats/Prob) 5.13 Progress Check 5 Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. Venn diagrams), and make context-based conclusions and predictions. (5.10, 5.11, 5.12) #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (5.10, 5.11, 5.12) Relationships B.b:10 Represent fractions using numbers, pictures, and number lines. (5.10, 5.11, 5.12) B.b:11 Identify and represent equivalence between fractions, percents, and decimals. (5.10, 5.11, 5.12) E.a: 5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams. 9

10 January 18 teaching Unit 6: Using Data: Addition and Subtraction of Fractions 6.1 Organizing Data (Stats/Prob) 6.2 Natural Measures of Length (Stats/Prob, M) 6.3 The Stem and Leaf Plots for Hand and Finger Measures (Stats/Prob, M) 6.4 Mystery Plots Stats/Prob, M) 6.5 Sample Size and Sound Conclusions (Stats/Prob, NO&R) 6.6 Analysis of Sample Data Stats/Prob, NO&R) 6.7 American Tour: Climate (Stats/Prob) 6.8 Using a Slide Rule to Add and Subtract Fractions Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (6.5, 6.6, 6.8, 6.9, 6.10, 6.11) Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (6.2, 6.3, 6.4) #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7) Relationships B.b: 10 Represent fractions using numbers, pictures, and number lines. (6.5, 6.6, 6.8) B.b: 12 Identify and represent equivalence between fractions, percents, and decimals. (6.5, 6.6, 6.8, 6.9, 6.10, 6.11) B.b: 18 Add and subtract fractions with unlike denominators (halves, thirds, fourths, fifths, and tenths) with sums or differences between 0 and 1. (6.8, 6.9, 6.10, 6.11) B.b: 19 Estimate using basic whole number operations, benchmark fractions, and benchmark decimals. (6.5, 6.6, 6.8, 6.9, 6.10, 6.11) Measurement D.a: 1 Identify appropriate units to measure length, liquid capacity, volume, time, weight/mass, temperature, including measures. Units include: inches, feet, yards, (i.e. 1 foot 3 inches) miles, centimeters, millimeters, meters, kilometers, ounces, cups, quarts, gallons, liters, hours, minutes, seconds (i.e. 1 hour 15 minutes),, months, years, ounces, pounds, grams, kilograms, and degrees Fahrenheit/Celsius. (6.3, 6.4) D.b:6 Read and interpret measuring instruments to determine the measurement of objects with standard units (U.S. customary). (6.3, 6.4) E.a: 2 Collect, organize, and display data in appropriate graphs or charts (6.1, 7.6) MPS District Model CABS Number Operations and Relationships #10a, #10b Statistics and Probability #9a and 9b 10

11 January 18 teaching Unit 6: Using Data: Addition and Subtraction of Fractions 6.9 Clock Fractions and Common Denominators 6.10 Quick Common Denominators 6.11 Progress Check 6 E.a: 3 Draw reasonable conclusions based on contextual data. (6.4, 6.5, 6.7, 7.6) E.b: 6 Describe a given set of data of ten or fewer items/numbers using the terms mean, median, mode, and range to extract information from organized charts, tables, graphs, and Venn diagrams in problems with and without context. (6.4, 6.5, 6.7) 11

12 February 20 teaching Unit 7: Exponents and Negative Numbers 7.1 Exponential Notation (NO&R, AR) 7.2 Exponential Notation for Powers of Scientific Notation (NO&R, AR) Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems. (7.1, 7.3, 7.4, 7.5, 7.8, 7.9) Relationships B.b: 2 Read, write, and represent numbers using words, numerals, pictures (base-ten blocks), number lines, arrays expanded forms (12,436=10,000+2, ), and symbolic reasoning e.g., 12,436=12, (7.1, 7.2, 7.3, 7.4, 7.5, 7.7, 7.8, 7.9) E.a: 3 Draw reasonable conclusions based on contextual data. (7.6) MPS CABS Algebraic Reasoning # 3, # Parenthesis in Number Sentences (NO&R, AR) 7.5 Order of Operations (NO&R, AR) 7.6 American Tour: Line Graphs (Stats/Prob, NO&R) 7.7 Using Negative Numbers (NO&R, M) 7.8 Addition of Positive and Negative Number (NO&R, AR) 7.9 Subtraction of Positive and Negative Numbers (NO&R, Algebraic Relationships #8 Represent, extend, and describe patterns and functional relationships using words, symbolic rules, tables, and graphs. (7.1, 7.3, 7.4, 7.5, 7.8, 7.9) Algebraic Relationships F.a: 1 Recognize, extend, describe, create and replicate a variety of patterns including attribute, numeric, and geometric patterns. (7.1, 7.2, 7.3, 7.4, 7.5, 7.7, 7.8, 7.9) F.c:14 Simplify (evaluate) two-step numerical expressions using correct order of operations. (7.1, 7.2, 7.3, 7.4, 7.5, 7.7, 7.8, 7.9) F.c: 16 Demonstrate understanding of order of operations by solving two-step open sentences involving all operations. (7.1, 7.2, 7.3, 7.4, 7.5, 7.7, 7.8, 7.9) 12

13 February 20 teaching Unit 7: Exponents and Negative Numbers 7.10 Using a Slide Rule to Add and Subtract (NO&R, AR) 7.11 Calculator Practice: Working with Negative Numbers (NO&R, AR) 7.12 Progress Check Unit 8 Fractions and Ratios 8.1 Review: Comparing Fractions 8.2 Adding Mixed Numbers 8.3 Subtracting Mixed Numbers 8.4 Calculator Practice: Computation with Fractions 8.5 Fractions of Fractions 8.6 An Area Model for Fraction Multiplication (NO&R, AR) Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, 8.12) #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (8.11) Algebraic Relationships #8 Represent, extend, and describe patterns and functional relationships using words, symbolic rules, tables, and graphs. (8.6) Relationships B.b: 10 Represent fractions using numbers, pictures, and number lines. (8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, 8.12) B.b: 12 Identify and represent equivalence between fractions, percents, and decimals. (8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, 8.12) B.b: 18 Add and subtract fractions with unlike denominators (halves, thirds, fourths, fifths, and tenths) with sums or differences between 0 and 1. (8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, 8.12) B.b: 19 Estimate using basic whole number operations, benchmark fractions, and benchmark decimals. (8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, 8.12) Algebraic Relationships F.a: 1 Recognize, extend, describe, create and replicate a variety of patterns including attribute, numeric, and geometric patterns. (8.6) Lessons lay the foundation for mathematical ideas covered in 6 th grade descriptors. It is important to have students experience these lessons but they might not master them at this time. Number Operations and Relationships #9a and #9b 13

14 Unit 8 Fractions and Ratios See Targets Above WI State Descriptors March 14 teaching 8.7 Multiplication of Fractions and Whole 8.8 Multiplication of Mixed Numbers 8.9 Finding a Percent of a Number 8.10 Relating Fractional Units to the Whole 8.11 American Tour: Rural and Urban (Stats/Prob, NO&R) 8.12 Fraction Division 8.13 Progress Check 8 Lessons lay the foundation for mathematical ideas covered in 6 th grade descriptors. It is important to have students experience these lessons but they might not master them at this time. 14

15 March 14 teaching April 13 teaching Unit 9 Coordinates, Area, Volume, and Capacity 9.1 Hidden Treasure: A Coordinate Game 9.2 Coordinate Graphs: Part 1 (NO&R, M, G) 9.3 Coordinate Graphs: Part 2 (M, G) 9.4 Areas of Rectangles (M) 9.5 The Rectangle Method for Finding Area (M) 9.6 Formulas for the Area of Triangles and Parallelograms (M,G) 9.7 Earth s Water Surface (NO&R, Stats/Prob, M) 9.8 Volume of a Rectangular Prism (M, G, AR) 9.9 Volume of Right Prisms (M, G,) 9.10 Capacity: Liter, Milliliter, and Cubic Centimeter (M) 9.11 Progress Check Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multistep word problems. (9.7, 9.10) Geometry #3 Describe, construct, and classify polygons and polyhedrons using properties (e.g., angles, lines of symmetry, parallel lines, similarity) of plane and coordinate geometry. (9.1, 9.2, 9.3, 9.6, 9.7) Geometry #4 Evaluate the results of transformations from rigid motions and movement between polyhedra and nets, and describe threedimensional figures from multiple perspectives. (9.8, 9.9) Relationships B.a: 4 Identify and use number theory concepts: Prime and composite numbers Divisibility potential of numbers (divisors1-10, 25) Least common multiples through 24 Greatest common factors through 50 (9.7) B.b: 16 Solve problems using basic multiplication and division facts. Geometry C.a:3 Classify plane figures by characteristics of angles (acute, obtuse, and right) and describe rays found in open-angle situations. (9.8, 9.9) C.a: 4 Use tangrams to describe, model, and construct plane figures. (9.9) C.b: 6 Describe and compare cubes, rectangular prisms, and rectangular and triangular pyramids from nets (flat patterns). (9.8, 9.9) C.b: 9 Identify and describe 3-dimensional figures from multiple perspectives. (9.8, 9.9 C.c:10 Identify and plot the coordinates of locations or objects on simple one quadrant grids using numbers only for coordinates, (e.g. (3,2)). (9.1, 9.2, 9.3) C.c: 11 Locate the fourth coordinate pair when given three vertices of a rectangle or parallelogram on a coordinate grid. (9.1, 9.2, 9.3) MPS CABS Geometry #5a, 5b, 5c Measurement #4 15

16 April 13 teaching Unit 9 Coordinates, Area, Volume, and Capacity Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (9.4, 9.5, 9.6) Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (9.8, 9.9) Measurement D.a: 1 Identify appropriate units to measure length, liquid capacity, volume, time, weight/mass, temperature, including measures. Units include: inches, feet, yards, (i.e. 1 foot 3 inches) miles, centimeters, millimeters, meters, kilometers, ounces, cups, quarts, gallons, liters, hours, minutes, seconds (i.e. 1 hour 15 minutes),, months, years, ounces, pounds, grams, kilograms, and degrees Fahrenheit/Celsius. (9.7, 9.8, 9.9) D.a: 3 Make measurement conversions within a system between units (e.g. feet and yards; inches and yards; quarts and gallons; meters and centimeters; seconds and hours). (9.10) D.c: 9 Determine the area of regular shapes, including right triangles. (9.4, 9.5, 9.6, 9.10) MPS CABS Geometry #9 16

17 April 14 teaching Unit 10 Using Data; Algebra Concepts and Skills 10.1 Pan-Balance Problems (M) 10.2 Pan-Balance Problems with Two Balances (NO&R, M, AR) 10.3 Algebraic Expressions (AR) 10.4 Rules, Tables, and Graphs: Part 1 (Stats/Prob, AR) 10.5 American Tour: Old Faithful s Next Eruptions (Stats/Prob, AR) 10.6 Rules, Tables, and Graphs: Part 2 (Stats/Prob, AR) 10.7 Reading Graphs (Stats/Prob, AR) 10.8 Circumference of a Circle (NO&R, Stats/Prob) 10.9 Area of Circles (NO&R, Stats/Prob, AR) Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multistep word problems. (10.2, 10.3, 10.7, 10.8) Geometry #3 Describe, construct, and classify polygons and polyhedrons using properties (e.g., angles, lines of symmetry, parallel lines, similarity) of plane and coordinate geometry. (10.6) Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (10.1, 10.2, 10.9) Relationships B.b: 8 Demonstrate basic understanding of proportionality in proportional contexts. (10.8, 10.9) B.b: 13 Use all operations in everyday situations to solve single or multi-step word problems. (10.3) B.b: 16 Solve problems using basic multiplication and division facts. (10.2, 10.7, 10.8, 10.9) Geometry C.c: 10 Identify and plot the coordinates of locations or objects on simple one quadrant grids using numbers only for coordinates. (10.6) Measurement D.a: 2 Compare attributes of length, volume, and weight by observation or when given actual measurements. (10.1) D.b: 6 Read and interpret measuring instruments to determine the measurement of objects with standard units (U.S. customary). (10.1, 10.2) D.c: 9 Determine the area of regular shapes including right triangles. (10.9) E.a: 4 Use data to predict outcomes or trends from graphs and tables. (10.4) E.b: 5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams. (10.4, 10.5, 10.6, 10.7,) Progress Check 17

18 April 13 teaching #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (10.4, 10.5, 10.6, 10.7, 10.9) Algebraic Relationships #8 Represent, extend, and describe patterns and functional relationships using words, symbolic rules, tables, and graphs. (10.1, 10.2, 10.3, 10.4, 10.5, 10.6, 10.7, 10.9) E.b: 6 Describe a given set of data of ten or fewer items/numbers using the terms mean, median, mode, and range to extract information from organized charts, tables, graphs, and Venn diagrams in problems with and without context. (10.8, 10.9) Algebra F.a: 1 Recognize, extend, describe, create and replicate a variety of patterns including attribute, numeric, and geometric patterns. (10.4, 10.5, 10.6) F.a: 2 Represent patterns and relationships with pictures, tables, and charts. (10.1, 10.2, 10.3, 10.4, 10.5, 10.6, 10.9) MPS CABS Statistics and Probablility #6a, 6b, 6c 18

19 May 27 Teaching Days Unit 11: Volume 11.1 Review of Geometric Solids: Part 1 (NO&R,G,) 11.2 Review of Geometric Solids: Part 2 (G, Stats/Prob) 11.3 Volume of Cylinders (NO&R, G, M) 11.4 Volume of Pyramids and Cones (NO&R, G, M, AR) 11.5 Finding Volume by a Displacement Method (NO&R, M, Stat/Prob) 11.6 Capacity and Weight (NO&R, M) 11.7 Surface Area (NO&R, M) 11.8 Progress Check 11 Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems. (11.1, 11.2, 11.3, 11.4) Geometry #3 Describe, construct, and classify polygons and polyhedrons using properties (e.g., angles, lines of symmetry, parallel lines, similarity) of plane and coordinate geometry. (11.1, 11.2) Geometry #4 Evaluate the results of transformations from rigid motions and movement between polyhedra and nets, and describe threedimensional figures from multiple perspectives. (11.1, 11.2) Relationships B.b: 13 Use all operations in everyday situations to solve single or multi-step word problems. (11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7) Geometry C.b: 5 Identify figures that are congruent and/or similar. (11.1, 11.2) C.b: 6 Describe and compare cubes, rectangular and triangular prisms, and rectangular and triangular pyramids from nets (flat patterns). (11.1, 11.2) C.b: 9 Identify and describe 3-dimensional figures from multiple perspectives. (11.1, 11.2, 11.3, 11.4) Measurement D.a: 1 Identify appropriate units to measure length, liquid capacity, volume, time, weight/mass, temperature, including measures. Units include: inches, feet, yards, (i.e. 1 foot 3 inches) miles, centimeters, millimeters, meters, kilometers, ounces, cups, quarts, gallons, liters, hours, minutes, seconds (i.e. 1 hour 15 minutes),, months, years, ounces, pounds, grams, kilograms, and degrees Fahrenheit/Celsius. (11.3, 11.5, 11.6) D.a: 2 Compare attributes of length, volume, and weight by observation or when given actual measurements. (11.3, 11.4, 11.7) D.a: 3 Draw reasonable conclusions based on contextual data. (11.6) MPS CABS Geometry #4-8 MPS CABS Measurement #6, 7a-7d, 9 D.c: 9 Determine the area of regular shapes including right triangles. (11.4, 11.7) 19

20 May 27 teaching Measurement #5 Compare measurement attributes and elapsed time, explain estimates, selection of unit, and conversions of measures, and determine measurements (e.g., area, size of angles, elapsed time) with tools and scales to specified degrees of accuracy. (11.3, 11.4, 11.5, 11.6, 11.7) #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (11.2, 11.5) Algebra #8 Represent, extend, and describe patterns and functional relationships using words, symbolic rules, tables, and graphs. (11.4) E.a: 2 Collect, organize, and display data in appropriate graphs or charts. (11.5) E.a: 5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams. (11.2) Algebra F.a: 1 Recognize, extend, describe, create and replicate a variety of patterns including attribute, numeric, and geometric patterns. (11.4) 20

21 May/June 27 teaching Unit 12: Probability, Ratios, and Rates 12.1 Factor Trees 12.2 Choices, Tree Diagrams, and Probability (NO&R, Stats/Prob) 12.3 American Tour: Ratio Exploration (NO&R, Stats/Prob) 12.4 Ratios of Parts to Wholes 12.5 Number Models for Ratio Number Stories 12.6 Finding Your Heart Rate (NO&R, Stats/Prob) 12.7 Collecting Graphing, and Interpreting Data (Stats/Prob) 12.8 Finding Your Cardiac Output (NO&R, Stats/Prob) 12.9 Progress Check Relationships #1 Pose real-world problems, and use strategies, including number theory concepts and place value, to compare numbers, make estimates, and solve single and multi-step word problems. (12.1, 12.2, 12.3, 12.4, 12.5, 12.6) Relationships #2 Generate and represent equivalent forms of commonly used fractions, decimals, and percents; estimate with benchmarks; and use strategies to compare, add, and subtract fractions and decimals with and without context. (12.4, 12.5, 12.6, 12.8) #6 Conduct data investigations, interpret and summarize (e.g., mean, median, mode, range) data sets and displays (e.g., line plots, Venn diagrams), and make context-based conclusions and predictions. (12.2, 12.3, 12.6, 12.7, 12.8) #7 Describe the difference between theoretical and experimental probabilities, determine the likelihood and fairness of events, and explain why probabilities are represented as fractions and percents from 0 to 1. (12.2, 12.7) Relationships B.b: 4 Identify and use number theory concepts: Prime and composite numbers Divisibility potential of numbers (divisors1-10, 25) Least common multiples through 24 Greatest common factors through 50 (12.1) B.b: 8 Demonstrate basic understanding of proportionality in proportional contexts. (12.3, 12.4, 12.5, 12.6) B.b: 12 Identify and represent equivalence between fractions, percents, and decimals. (12.4, 12.5, 12.6, 12.8) B.b: 13 Use all operations in everyday situations to solve single or multi-step word problems. (12.2, 12.5) B.b:16 Solve problems using basic multiplication and division facts. (12.1, 12.5, 12.6, 12.8) E.b: 2 Collect, organize, and display data in appropriate graphs or charts.(12.7) E.b: 4 Use data to predict outcomes or trends from graphs and tables. (12.7) E.b: 5 Extract, interpret, and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs, and Venn diagrams. (12.2,12.3, 12.6, 12.7) E.b: 7 Determine the likelihood of future events, predict outcomes of future events, and test predictions using data from a variety of sources. (12.2, 12.7) E.b: 9 Determine the probability of events in context using words, percents, or fractions. (12.2, 12.7) MPS CABS Measurement # 10 21

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