MATHLINKS: GRADE 6 CORRELATION OF STUDENT PACKETS TO THE RESOURCE GUIDE

Size: px

Start display at page:

Download "MATHLINKS: GRADE 6 CORRELATION OF STUDENT PACKETS TO THE RESOURCE GUIDE"

Reynold Pierce
5 years ago
Views:

1 MATHLINKS: GRADE 6 CORRELATION OF STUDENT PACKETS TO THE RESOURCE GUIDE Referenced here is the vocabulary, explanations, and examples from the Resource Guide that support the learning of the goals in each MathLinks: Grade 6 student packet, as well as the Common Core State Standards for Mathematics for each lesson. Packet Summary MathLinks: Grade 6 Resource Guide (Part 1) Student Packet 6-1 Whole Number Multiplication and Division 1.1 Applying Properties of Arithmetic Students learn and use properties of multiplication. Students learn strategies for recalling multiplication facts. Students use an area model to multiply numbers. Standards 4.NBT.B, 5.NBT.A, 6.EE.A 1.2 Division With Remainder Students learn a division algorithm and use it to find quotients of whole numbers. Students solve problems and interpret the meaning of the remainder in the context of the problem. Standards 4.NBT.B, 5.NBT.A, 6.NS.B, 6.EE.A 1.3 Multiplication and Division: Standard Algorithms Students review the standard algorithm for multiplication of whole numbers. Then students review the standard algorithm for division of whole numbers. Standards 4.NBT.B, 5.NBT.A, 6.NS.B Student Packet 6-2 Whole Number Applications 2.1 Factors and Multiples Students review factors and multiples of numbers, and prime and composite numbers. Standards 6.NS.B 2.2 GCF and LCM Students learn how to find the greatest common factor (GCF) of two natural numbers and the least common multiple (LCM) of two natural numbers. Students use GCF and LCM to solve problems. Standards 6.NS.B 2.3 Numerical Expressions Students use their knowledge of greatest common factor to write equivalent expressions using the distributive property. Students learn about exponents. Students simplify expressions using the conventions for the order of operations. Standards 6.EE.A algorithm difference dividend divisor factor of a number product quotient remainder sum Mathematical Symbols and Language Mathematical Properties Whole Numbers: Multiplication and Division Key Vocabulary in the Word Bank: base composite number exponential notation factor greatest common factor least common multiple multiple order of operations prime number square number Mathematical Symbols and Language Mathematical Properties Factors and Multiples GCF and LCM

2 Student Packet 6-3 Fraction Concepts Packet Summary MathLinks: Grade 6 Resource Guide (Part 1) 3.1 Fraction Strips Students use a linear model to explore fraction equivalence. Students use sense-making strategies to order fractions. Students read and measure with a ruler. Students identify improper fractions and mixed numbers on a number line. Standards 4.NF.A 3.2 Ordering Fractions on a Number Line Students use sense-making strategies to order fractions on a number line. Standards 4.NF.A 3.3 Renaming Fractions Students represent fractions greater than one as mixed numbers and as improper fractions using an area model, a set model, and a linear model. Students explore how mixed numbers are used on a ruler that is marked off in inches. Standards 4.NF.A area model for fractions benchmark fraction denominator equivalent fractions fraction Models for Fractions Fraction Ordering and Equivalence inequality linear model for fraction multiplicative identity property numerator unit fraction Student Packet 6-4 Decimal Concepts 4.1 Fractions and Decimals Students represent fractions and decimals with pictures (area models), numbers, and words. Students write fractions whose denominators are powers of 10 in decimal form. Standards 4.NF.C, 5.NBT.A 4.2 Decimal Place Value and Number Lines Students compare and order decimals on a number line and ruler. Standards 4.NF.C, 5.NBT.A 4.3 Fraction, Decimal, and Percent Gardens Students use an area model to explore fraction, decimal, and percent concepts. Standards 4.NF.C, 5.NBT.A, 6.RP.A area model for fractions decimal denominator equivalent fractions fraction Models for Fractions linear model for fractions numerator percent place value number system Fraction Ordering and Equivalence Decimal Concepts

3 Packet Summary MathLinks: Grade 6 Resource Guide (Part 1) Student Packet 6-5 Data and Statistics 5.1 Name Scores Students find our name scores using the given values for each letter. Then students create a human number line to help us organize our data. Students calculate the five-number summary and observe measures of center and spread for the name score data. Standards 6.SP.A, 6.SP.B 5.2 Data Displays Students display data by constructing dot plots, histograms, and box plots. Students describe and analyze the overall shape of the data. Standards 6.SP.A, 6.SP.B 5.3 Data Surveys Students gather data through a class activity. box plot mean absolute deviation (MAD) dot plot median five-number mode summary histogram number of observations interquartile range outlier (IQR) mean range of a data set Fraction Ordering and Equivalence Statistics Data Displays Students display data by constructing dot plots, histograms, and box plots. Students describe and analyze the overall shape of the data. Standards 6.SP.A, 6.SP.B Student Packet 6-6 Fraction Addition and Subtraction 6.1 Equivalent Fractions Students use diagrams to illustrate equivalent fractions. Students connect the diagrams to computations. Students compare fractions in a problem solving setting. Standards 5.NF.A, 6.NS.B 6.2 Fraction Addition Students review adding fractions and learn different methods to add mixed numbers. Standards 5.NF.A, 6.NS.B 6.3 Fraction Subtraction Students review subtracting fractions, and learn different methods to subtract fractions. Standards 5.NF.A, 6.NS.B common denominator difference equivalent fractions estimate greatest common factor Fraction Ordering and Equivalence Fraction Addition and Subtraction least common denominator least common multiple multiplicative identity property sum

4 Packet Summary MathLinks: Grade 6 Resource Guide (Part 1) Student Packet 6-7 Fraction Multiplication and Division 7.1 Fraction Multiplication Students use whole number multiplication concepts to provide meaning for fraction multiplication. Students develop procedures to multiply fractions. Standards 5.NF.B 7.2 Fraction Division 1 Students explore division of fractions in measuring contexts, and explore whether the multiply-across rule for multiplication can be extended to division. Standards 5.NF.B, 6.NS.A 7.3 Fraction Division 2 Students explore division of fractions in measuring and fair-share contexts, and learn an efficient rule for dividing fractions. Standards 5.NF.B, 6.NS.A Student Packet 6-8 Decimal Operations 8.1 A Checking Account Students add and subtract decimal numbers. Students learn to maintain a check register and write checks. Standards 5.NBT.B 8.2 Decimal Multiplication Students explore decimal multiplication using repeated addition, an area model, and decimal-fraction equivalence. Standards 5.NBT.A, 5.NBT.B, 6.NS.B 8.3 Decimal Division Students explore concepts related to decimal division and establish an algorithm for dividing a decimal number by a decimal number. Students use decimals to solve a problem. Standards 5.NBT.A, 5.NBT.B, 6.NS.B commutative property of multiplication distributive property divisor factor multiplicative identity property product quotient reciprocal remainder Fraction Multiplication and Division addend decimal difference dividend divisor factor of a number Decimal Concepts Decimal Operations minuend product quotient subtrahend sum

5 Packet Summary MathLinks: Grade 6 Resource Guide (Part 2) Student Packet 6-9 Expressions and Equations Introduction to Variables and Expressions Students write and evaluate algebraic expressions. Students represent the costs of items on a menu algebraically. Students translate verbal statements into numerical or variable expressions. Standards 6.NS.B, 6.EE.A 9.2 Equations Students represent the costs of items on a menu algebraically. Students find values that make equations true. Students translate verbal statements into numerical or variable equations. Standards 6.NS.B, 6.EE.A, 6.EE.B 9.3 Inequalities Students write linear inequalities with one variable. Students find values that make inequalities true. Standards 6.NS.B, 6.EE.B Student Packet 6-10 Expressions and Equations Numerical and Variable Expressions Students apply the order of operations conventions. Students write and evaluate numerical and algebraic expressions. Standards 6.NS.B, 6.EE.A 10.2 Equation Solving Strategies Students solve equations using mental math, the concept of balance, and an undoing procedure. Standards 6.EE.B 10.3 Solving Equations With Fractions and Decimals Students solve equations that include fraction and decimal coefficients and constants. Standards 6.NS.B, 6.EE.B coefficient inequality constant term like terms equation product expression term factor of a number variable Mathematical Symbols and Language (see RG1) Mathematical Properties Expressions, Equations, and Inequalities Ratios and Proportional Relationships area order of operations distributive property perimeter equation solve an equation exponential notation variable expression volume inverse operations Mathematical Symbols and Language (see RG1) Mathematical Properties Order of Operations Expressions, Equations, and Inequalities

6 Packet Summary MathLinks: Grade 6 Resource Guide (Part 2) Student Packet 6-11 Ratios and Unit Rates 11.1 Ratios Students define ratio and explore when ratios are equivalent. Students represent ratios using tables and diagrams, and solve problems involving ratios Unit Rates Students explore the relationship between ratios and rates, and unit rate is defined. Students represent ratios and rates with tables and double number line diagrams, and solve problems using rates. double number line diagram equivalent ratios ratio tape diagram unit price unit rate value of a ratio Ratios and Proportional Relationships 11.3 Ratio and Unit Rate Problems Students solve ratio and rate problems using tables, diagrams, and equations. Student Packet 6-12 Measurement Conversions and Percent 12.1 Measurement Conversions Students use double number lines and tables to compare and convert units of measure, both within and between measurement systems. Students use conversion rates to make conversions Understanding Percents of Numbers Students use double number lines and chunking strategies to find percents of numbers. conversion rate customary measurement unit metric measurement unit percent Percent percent of a number ratio unit rate 12.3 Percent Problems Students solve more percent problems using double number line diagrams and chunking. Students learn a multiplication procedure for finding percents of numbers.

7 Packet Summary MathLinks: Grade 6 Resource Guide (Part 2) Student Packet 6-13 Geometry 13.1 Areas of Polygons Students establish formulas for areas of parallelograms, triangles, and trapezoids. Students find areas of irregular polygons. Students apply area formulas to solve problems. Standards 6.EE.A, 6.G.A 13.2 Volume Students establish formulas for the volume of a right rectangular prism in three ways. Students solve real world and mathematical problems that involve volume. Standards 6.EE.A, 6.G.A 13.3 Surface Area Students construct polyhedra from nets. Students use nets to find surface areas of polyhedra. Standards 6.EE.A, 6.G.A Student Packet 6-14 Rational Numbers on the Number Line 14.1 Integers Students extend the number line to include integers. Students use temperature as a context to locate numbers, write inequalities, and solve problems. Students use arrows to represent direction and distance. Standards 6.NS.C 14.2 Opposites and Absolute Value Students interpret and find the value of the opposite of a number. Students interpret and find the value of the absolute value of a number. Standards 6.NS.C altitude of a parallelogram apex area base net polygon Geometry absolute value distance inequality polyhedron prism pyramid surface area volume integer opposite of a number rational number The Number Line (Integers and Other Rational Numbers) 14.3 Rational Numbers Students use number lines to explore the meaning of rational numbers. Students find opposites and absolute values of rational numbers. Students use arrows on a number line to represent direction and distance, and to solve problems with rational numbers. Students graph solutions to inequalities on the number line. Standards 6.NS.C, 6.EE.B

8 Packet Summary MathLinks: Grade 6 Resource Guide (Part 2) Student Packet 6-15 Graphing in the Coordinate Plane 15.1 Graphing Points with Integer Coordinates Students graph ordered pairs of integers in the coordinate plane in one quadrant and in four quadrants. Students solve graphing challenges, scale graphs appropriately, draw polygons in the plane given coordinates of vertices, and find the lengths of horizontal and vertical line segments. Standards 6.NS.C, 6.G.A 15.2 Graphing Points with Rational Coordinates Students graph ordered pairs of rational numbers in four quadrants. Students solve graphing challenges, scale graphs appropriately, draw polygons in the plane given coordinates of vertices, and find the lengths of horizontal and vertical segments. Standards 6.NS.C, 6.G.A coordinate plane line of symmetry ordered pair quadrant reflection vertex x-axis x-coordinate y-axis y-coordinate The Coordinate Plane (Integers and Other Rational Numbers) 15.3 Reflections Students graph polygons in the coordinate plane and their reflections across a coordinate axis. Studentsl observe how the coordinates of a point change when the point is reflected across a coordinate axis. Standards 6.NS.C, 6.G.A Student Packet 6-16 Applications of Proportional Reasoning 16.1 Saving for a Purchase Students use input-output rules, tables, and graphs to determine how much time is needed to save for purchases. Students use this context to recognize the relationship between independent and dependent variables. Standards 6.EE.B, 6.EE.C coordinate plane dependent variable double number line diagram equivalent ratios independent variable input-output rule ordered pair tape diagram unit price unit rate 16.2 Best Buy Problems Students use numbers, graphs, and equations to determine which choices are better buys., 6.EE.B, 6.EE.C 16.3 Painting a Room Students solve problems that involve ratio reasoning and many of the mathematical concepts and skills we have learned this year., 6.EE.A, 6.EE.B, 6.EE.C, 6.G.A

2 Developing. 2 Developing

2 Developing. 2 Developing Roosevelt School District Report Card Rubric Math 6 th Grade Reporting : Understands ratios and uses ratios to solve problems. 6.RP.A [ to ] 6.RP.A. Describes ratios using basic language or notation. Identifies