TEACHER GUIDE FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS INCLUDES Tier Tier Tier Correlations Diagnostic Interviews for Every Common Core Cluster s, Tier Prerequisite Skills, and Tier Scaffolded Examples with Answers GRADE 6
TEACHER GUIDE Response to FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS GRADE 6 Includes Tier Tier Tier Correlations Diagnostic Interviews for Every Common Core Cluster s, Tier Prerequisite Skills, and Tier Scaffolded Examples with Answers
Math Expressions 0 Rates, Ratios, and Proportions BIG IDEA Multiplication and Rates Lesson Factor Puzzles and the Multiplication Table 4 Lesson Solving Factor Puzzles 4 Lesson Rate Situations and Rate Tables, Lesson 4 Rate Situations and Unit Rate Language, Lesson 5 Unit Rates, Products, and Rate Tables, BIG IDEA Special Rate Situations and Graphing Lesson 6 Unit Pricing 7 Lesson 7 Constant Speed 7 BIG IDEA Solve Problems with Ratio and Proportion Lesson 8 Ratio as Linked Rates 5 Lesson 9 Finding Linked Values in Ratio Tables Lesson 0 Seeing Proportions in Ratio Tables 6 Lesson Identify and Solve Proportion Situations 6, 8 BIG IDEA 4 Identify, Solve, and Write Proportion Situations Lesson Solve Numeric Proportion Problems 5, 6 Lesson Basic Ratio Solution Strategies 8 Lesson 4 Write and Solve Proportion Problems 6, 8 Lesson 5 Focus on Mathematical Practices, 7, 8 MATH EXPRESSIONS 0 CORRELATION
Math Expressions 0 Area of Polygons BIG IDEA Derive Area Formulas and Solve Problems: Parallelograms and Triangles Lesson Units of Area 5, 7 Lesson Area of Any Right Triangle 5, 74 Lesson Area of Any Parallelogram 5, 7 Lesson 4 Area of Any Triangle 5, 75 Lesson 5 Select the Needed Measurements 7, 75 BIG IDEA Derive Area Formulas and Solve Problems: Trapezoids and Other Polygons Lesson 6 Area of Any Trapezoid 76, 77 Lesson 7 Area of a Complex Figure 79 Lesson 8 Area of Any Regular Polygon 78 Lesson 9 Graph Polygons in the Coordinate Plane 8 Lesson 0 Focus on Mathematical Practices 5 Operations with Whole Numbers, Fractions, and Decimals BIG IDEA Multiplication and Division of Whole Numbers and Decimals Lesson Place Value and Whole Number Division 6 Lesson Estimated Multipliers in Division 6 Lesson Multiplying by a Decimal 8 Lesson 4 Decimal Divisors 0 Lesson 5 Multiplication or Division 6, 8, 0 MATH EXPRESSIONS 0 CORRELATION
Math Expressions 0 BIG IDEA Relating, Composing, and Decomposing Decimals and Fractions Lesson 6 Comparing, Adding, and Subtracting with the Same Unit 7, 4 Lesson 7 Equivalent Fractions or Decimals 40, 4 Lesson 8 Finding a Common Unit Fraction Lesson 9 Mixed Problem Solving 7, BIG IDEA Multiplying Fractions and Dividing with Fractions and Whole Numbers Lesson 0 Multiplying with Fractions 5 Lesson Dividing with Fractions and Whole Numbers 0 Lesson Is It Multiplying or Dividing? 0, 5 BIG IDEA 4 Dividing a Fraction by a Fraction Lesson Dividing Numerators and Denominators 0, Lesson 4 Dividing by Unsimplifying, 5 Lesson 5 Dividing by Multiplying by the Reciprocal, 5 Lesson 6 Is it Multiplying or Dividing?, 5 Lesson 7 Mixed Practice with Decimals and Fractions, 7, 5 Lesson 8 Focus on Mathematical Practices 7, 8, 5 4 Surface Area of Prisms and Pyramids BIG IDEA Nets and Surface Area of Prisms Lesson Nets and Surface Area for Rectangular Prisms 85 Lesson Nets and Surface Area for Nonrectangular Prisms 84 Lesson Surface Area of Prisms 86 BIG IDEA Nets and Surface Area of Pyramids Lesson 4 Nets for Pyramids 84 Lesson 5 Surface Area of Pyramids 87 Lesson 6 Focus on Mathematical Practices 84, 85, 86 MATH EXPRESSIONS 0 CORRELATION
Math Expressions 0 5 Expressions and Equations BIG IDEA Writing, Interpreting, and Analyzing Expressions Lesson Expressions and Order of Operations 5, 5 Lesson Expressions with Exponents 49, 50 Lesson Interpreting and Analyzing Expressions 5, 5 Lesson 4 Modeling and Simplifying Expressions 5, 5 Lesson 5 Expressions for Area and Surface Area 5, 79, 86 BIG IDEA Equivalent Expressions Lesson 6 Equivalent Expressions 55, 56 Lesson 7 The Commutative and Associative Properties 55, 56 Lesson 8 The Distributive Property 55, 56 Lesson 9 Practice with Expressions 59 BIG IDEA Representing and Describing Quantitative Relationships Lesson 0 Relating Two Quantities 68, 69 Lesson Motion at a Constant Speed 70 Lesson Relating Equations, Tables, and Graphs 7 Lesson Writing Equations 60 BIG IDEA 4 Solving Equations and Inequalities Lesson 4 Inequalities 58, 66, 67 Lesson 5 Solutions of Equations and Inequalities 57 Lesson 6 Addition and Subtraction Equations 6, 6 Lesson 7 Multiplication and Division Equations 6, 64 Lesson 8 Focus on Mathematical Practices 69, 7 4 MATH EXPRESSIONS 0 CORRELATION
Math Expressions 0 6 Volume of a Rectangular Prism BIG IDEA Volume of Formulas for Rectangular Prisms Lesson What Is Volume? 8 Lesson Fractional Unit Cubes 8 Lesson Compose Rectangular Prisms with Fractional Edge Lengths 8 Lesson 4 Volume of Prisms with Fractional Edge Lengths 8, 8 Lesson 5 Write and Solve Equations About Volume 5, 8 Lesson 6 Focus on Mathematical Practices 88 7 Ratios and Rates with Fractions, Decimals, and Percents BIG IDEA Ratios, Fractions, Unit Rates, and Cross-Multiplying Lesson Comparing Ratios 5, 7 Lesson Unit Rates 8 Lesson Ratios, Fractions, and Fraction Notation 4 Lesson 4 Understanding Cross-Multiplication 6 BIG IDEA Ratios with Tape Diagrams and Equations Lesson 5 Describing Ratios with Tape Diagrams, 6 Lesson 6 Ratios and Multiplicative Comparisons Lesson 7 Solve Ratio and Rate Problems 5 BIG IDEA Percent Lesson 8 The Meaning of Percent 9, 0, Lesson 9 Percent of a Number Lesson 0 Percent Calculations, 4 Lesson Solve Percent Problems MATH EXPRESSIONS 0 CORRELATION 5
Math Expressions 0 BIG IDEA 4 Relate Different Measurement Units Lesson Convert Units of Length 5 Lesson Convert Units of Liquid Volume, Mass, and Weight 6, 7 Lesson 4 Focus on Mathematical Practices, 8 Analyzing Statistics BIG IDEA Displaying Data Lesson Making Sense of Data 89, 9 Lesson Dot Plots and Histograms 9, 94, 95 BIG IDEA Summarizing Data: The Mean, the Median Lesson Making Data Groups Equal 98, 99 Lesson 4 Use the Mean 9, 98, 99 Lesson 5 The Mean as a Balance Point 98 Lesson 6 Find and Use the Median 99 BIG IDEA Describing Variability in Data Lesson 7 Variability in Data 9, 0 Lesson 8 Box Plots 96 Lesson 9 Mean Absolute Deviation 0 Lesson 0 Clusters, Peaks, Gaps, and Outliers 90, 0 Lesson Collect, Display, and Interpret Data 95 Lesson Focus on Mathematical Practices 90, 9 6 MATH EXPRESSIONS 0 CORRELATION
Math Expressions 0 9 Rational Numbers and the Coordinate Plane BIG IDEA Discuss, Compare, and Graph Integers Lesson Negative Numbers in the Real World 7 Lesson Integers on a Number Line 8 Lesson Compare and Order Integers 4, 45 Lesson 4 Integers and the Coordinate Plane 9, 48 BIG IDEA Discuss, Compare, and Graph Rational Numbers Lesson 5 Rational Numbers on a Number Line 8 Lesson 6 Compare and Order Rational Numbers 44 Lesson 7 Rational Numbers and the Coordinate Plane 4, 47 Lesson 8 Focus on Mathematical Practices 7, 9, 48 MATH EXPRESSIONS 0 CORRELATION 7