A Correlation of 2017 To the Math 6 / Enriched Math 6 Copyright 2017 Pearson Education, Inc. or its affiliate(s). All rights reserved
to the Math Modules Module 1: Rational Numbers With a focus on number sense, students will learn about negative numbers, their relationship to positive numbers, and the meaning and uses of absolute value. Students will extend the number line to represent all rational numbers and recognize that number lines may be either horizontal or vertical which helps students move from number lines to coordinate grids. Students will use fractions, decimals, and integers to represent real-world situations. Cluster 6.NS.C lays the foundation for working with rational numbers, algebraic expressions and equations, functions, and the coordinate plane in seventh and eighth grades. 6.NS.C.5 Topic 2 Integers and Rational Numbers: 2-1 6.NS.C.6 Topic 2 Integers and Rational Numbers: 2-2 6.NS.C.6.A Topic 2 Integers and Rational Numbers: 2-2 6.NS.C.6.B Topic 2 Integers and Rational Numbers: 2-1, 2-4 6.NS.C.6.C Topic 2 Integers and Rational Numbers: 2-1, 2-4 6.NS.C.7 Topic 2 Integers and Rational Numbers: 2-3 6.NS.C.7.A 6.NS.C.7.B Inequalities: 4-6 Inequalities: 4-6 6.NS.C.7.C Topic 2 Integers and Rational Numbers: 2-3 6.NS.C.7.D Topic 2 Integers and Rational Numbers: 2-3 6.NS.C.8 Topic 2 Integers and Rational Numbers: 2-4, 2-5, 2-6 Connections made to: 6.G.A.3 Topic 2 Integers and Rational Numbers: 2-5, 2-6 1
to the Math Modules Module 2: Computation and Statistics This module builds on previous learning of the multiplicative structure from grade 5 (5.NBT.B.6-7). Students will use the traditional, standard algorithm for long division while continuing to develop the meaning of division and the understanding of place value of multi-digit numbers when dividing fluently. Students will extend the models and strategies developed with whole numbers to fluently and accurately use standard algorithms to add, subtract, multiply and divide with multi-digit decimals. Cluster 6.NS.B lays the foundation work for operations with rational numbers, including integers in seventh grade. 6.NS.B.2 Topic 1 Use Positive Rational Numbers: 1-2 6.NS.B.3 Topic 1 Use Positive Rational Numbers: 1-1, 1-2, 1-7 6.SP.A.3 Data: 8-2 Module 3: Computation and Number Sense Use fraction models including manipulatives and visual diagrams to interpret, represent, and solve word problems with division of fractions. Students will write equations to show how word problems are solved with division of fractions. Students will interpret the meaning of fractions, the meanings of multiplication and division, and the relationship between multiplication and division to understand and explain why the procedures for dividing fractions make sense. 6.NS.A.1 Topic 1 Use Positive Rational Numbers: 1-5 Module 4: Ratios and Proportional Relationships The focus of this module is the study of ratio concepts and the use of proportional reasoning to solve problems. Students learn how ratios and rates are used to compare two quantities or values and how to model and represent them. Students use reasoning about multiplication and division to solve a variety of ratio and rate problems in real-world situations and discover solutions to percent problems using ratio tables, tape diagrams, and double number lines. Students will convert between standard units of measure. Students will also write an equation and analyze the relationship between the dependent and independent variables using graphs and tables. Clusters 6.RP.A and 6.EE.C lay the foundation for working with proportions and proportional relationships in seventh and eighth grade. 6.RP.A.1 5-1, 5-2, 5-3 6.RP.A.2 5-5, 5-6, 5-7 6.RP.A.3 5-1, 5-2, 5-3, 5-4, 5-5, 5-6, 5-7, 5-8, 5-9, 5-10 2
to the Math Modules 6.RP.A.3.A 5-2, 5-3, 5-4 6.RP.A.3.B 5-5, 5-6, 5-7 6.RP.A.3.C Topic 6 Understand and Use Percent: 6-1, 6-5, 6-6 6.RP.A.3.D 5-8, 5-9, 5-10 6.EE.C.9 Inequalities: 4-8, 4-9, 4-10 Module 5: Equations and Expressions Students will write and evaluate numerical expressions involving whole number exponents. Students apply the properties of operations to generate equivalent expressions including use of the distributive property (introduced as an application of factors) to produce equivalent representations. Students will also focus on the meaning of an equation and use reasoning and prior knowledge to solve equations. Variables will be used to represent numbers and to write expressions when solving problems. Students learn to write inequalities and use number line representations to show their solutions. Variables will also be used to represent two quantities in a real-world problem which change in relationship to one another. Students will continue to work with analyzing the relationship between dependent and independent variables using graphs, tables, and equations. The sixth grade study of expressions and equations is foundational in the transition to algebraic representation and problem solving, which is extended and formalized in seventh grade. 6.EE.A.1 3-1, 3-3 6.EE.A.2 3-3, 3-5 6.EE.A.2.A 3-3, 3-5 6.EE.A.2.B 3-4, 3-5 6.EE.A.2.C 3-4 3
to the Math Modules 6.EE.A.3 3-6, 3-7 6.EE.A.4 3-6, 3-7; Topic 4 Represent and Solve Equations and Inequalities: 4-2 6.EE.B.5 Inequalities: 4-1, 4-6, 4-7 6.EE.B.6 Inequalities: 4-1, 4-3, 4-4, 4-5 6.EE.B.7 Inequalities: 4-3, 4-4, 4-5, 4-7 6.EE.B.8 Inequalities: 4-6, 4-7 6.EE.C.9 Inequalities: 4-8, 4-9, 4-10 6.NS.B.4 3-2 Connections made to: 6.G.A.2 Problems: 7-8 Module 6: Geometry Students will build on their understanding of area and volume from fifth grade to deepen understanding of volume and to develop the concept of surface area. Students will solve real-world problems and apply the concepts by manipulating nets, cubes, and other real world materials. Reasoning about relationships in their work on surface area, composing and decomposing shapes, and finding distance on a coordinate plane using endpoint coordinates for horizontal and vertical lines prepare students for seventh grade relationships. Students will also work with polygons in the coordinate plane, preparing them for their work in eighth grade with transformations. 6.G.A.1 Problems: 7-1, 7-2, 7-3, 7-4 6.G.A.2 Problems: 7-8 4
to the Math Modules 6.G.A.3 Topic 2 Integers and Rational Numbers: 2-5, 2-6 6.G.A.4 Problems: 7-5 Module 7: Statistics Students will develop an understanding of statistical thinking. They study measures of center and variability with newly learned knowledge of mean, median, mode, and range. Using dot plots, histograms, and box plots, students will draw inferences and make comparisons between data sets. Students will summarize numerical data by providing background information about the attribute being measured, methods and unit of measurement, and the context of data collection activities, including random samples, the number of observations, and summary statistics. Students will recognize that a data distribution may not have a definite center and that different ways to measure center provide different values. Students discover that interpreting different measures of center for the same data develops the understanding of how each measure can change how data get interpreted. Students will continue to deepen their understanding of data distributions and measures of variability in seventh grade and in Algebra 1. 6.SP.A.1 Data: 8-1 6.SP.A.2 Data: 8-1 6.SP.A.3 Data: 8-2 6.SP.B.4 Data: 8-3, 8-4 6.SP.B.5 6.SP.B.5.A 6.SP.B.5.B 6.SP.B.5.C 6.SP.B.5.D 5