Year at a Glance Grade 6 Mathematics Month Concepts Taught Common Core State Standards First Quarter August September October Numbers and Operations: The Number System Chapter 1: Whole Numbers and Decimals ● Divide multi­digit numbers, prime factorization, least common multiple, greatest common factor, problem solving: apply the greatest common factor, add and subtract decimals, multiply decimals, divide decimals by whole numbers, divide with decimals Chapter 2: Fractions ● Fractions and decimals, compare and order fractions and decimals, multiply fractions, simplify fractions, model fraction division, estimate quotients, divide fractions, model mixed number division, divide mixed numbers, problem solving: fraction operations Chapter 3: Rational Numbers ● Understand positive and negative numbers, compare and order integers, rational numbers and the number line, compare and order rational numbers, absolute value, compare absolute values, rational numbers and the coordinate plane, ordered pair relationships, distance on the coordinate plane, problem solving on the coordinate plane CC.2.1.6.E.1 Apply and extend previous understandings of multiplication and division to divide fractions by fractions CC.2.1.6.E.2 Identify and choose appropriate processes to compute fluency with multi­digit numbers CC.2.1.6.E.3 Develop and/or apply number theory concepts to find common factors and multiples CC.2.1.6.E.4 Apply and extend previous understandings of numbers to the system of rational numbers Second Quarter Numbers and Operations: Ratios & Proportional Relationships CC.2.1.6.D.1 November December Early January Chapter 4: Ratios and Rates ● Model ratios, ratios and rates, equivalent ratios and multiplication tables, problem solving: compare ratios using tables, use equivalent ratios, find unit rates, use unit rates, equivalent ratios and graphs Chapter 5: Percents ● Model percents, write percents as fractions and decimals, write fractions and decimals as percents, percent of a quantity, problem solving with percents, find the whole from a percent Chapter 6: Units of Measure ● Convert units of length, convert units of capacity, convert units of weight and mass, transform units, problem solving: distance, rate, and time formulas Algebraic Concepts: Expressions and Equations Chapter 7: Algebra: Expressions ● Exponents, evaluate expressions involving exponents, write algebraic expressions, identify parts of expressions, evaluate algebraic expressions and formulas, apply algebraic expressions, problem solving: combine like terms, generate and identify equivalent expressions Understand ratio concepts and use ratio reasoning to solve problems CC.2.2.6.B.1 Apply and extend previous understandings of arithmetic to algebraic expressions CC.2.2.6.B.2 Understand the process of solving a one­variable equation or inequality and apply it to real­world problems Third Quarter Late January February March Algebraic Concepts: Expressions and Equations Chapter 8: Algebra: Equations and Inequalities ● Solutions of equations, write equations, model and solve addition equations, solve addition and subtraction equations, model and solve multiplication equations, solve multiplication and division equations, problem solving with equations containing fractions, solutions of inequalities, write inequalities, graph inequalities CC.2.2.6.B.1 Apply and extend previous understandings of arithmetic to algebraic expressions CC.2.2.6.B.2 Understand the process of solving a one­variable Fourth Quarter April May June Chapter 9: Algebra: Relationships Between Variables ● Independent and dependent variables, equations and tables, problem solving to analyze relationships, graph relationships, equations and graphs Geometry Chapter 10: Area ● Area of parallelograms, explore area of triangles, find the area of triangles, explore area of trapezoids, find the area of trapezoids, area of regular polygons, composite figures, changing dimensions, figures on a coordinate plane equation or inequality and apply it to real­world problems CC.2.2.6.B.3 Represent and analyze quantitative relationships between dependent and independent variables CC.2.3.6.A.1 Apply appropriate tools to solve real­world and mathematical problems involving area, surface area, and volume Geometry Chapter 11: Surface Area and Volume ● Three­dimensional figures and nets, explore surface area using nets, surface area of prisms, surface area of pyramids, fractions and volume, volume of rectangular prisms, geometric measurements Measurement, Data, and Probability: Statistics and Probability Chapter 12: Data Displays and Measures of Center ● Recognize statistical questions, describe data collection, dot plots and frequency tables, histograms, mean as a fair share and balance point, measures of center, effects of outliers, problem solving using data displays Chapter 13: Variability and Data Distributions CC.2.2.6.B.1 Apply and extend previous understandings of arithmetic to algebraic expressions CC.2.3.6.A.1 Apply appropriate tools to solve real­world and mathematical problems involving area, surface area, and volume CC.2.4.6.B.1 Demonstrate an understanding of ●
Patterns in data, box plots, mean absolute deviation, measures of variability, choose appropriate measure of center and variability, apply measures of center and variability, describe distributions, problem solving: misleading statistics statistical variability by displaying, analyzing, and summarizing distributions