Houghton Mifflin Harcourt Response to Intervention FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS Grade Math Expressions Lessons Correlated to Tier Lessons Tier Lessons correlated to Tier Skills and Tier Examples Pages taken from: Houghton Mifflin Harcourt Response to Intervention Online Teacher Edition
Math Expressions 0 Multiplication and Division with 0 5, 9, and 0 BIG IDEA Meanings of Multiplication and Division: 5s and s Tier Lesson Lesson Multiply with 5 9 Lesson Multiplication as Equal Groups, Lesson Multiplication and Arrays 7, Lesson 4 The Meaning of Division, 4 Lesson 5 Multiply and Divide with 8, 4 Lesson 6 Building Fluency with s and 5s 8, 9, 4, 5 BIG IDEA Patterns and Strategies: 9s and 0s Tier Lesson Lesson 7 Multiply and Divide with 0 9, 8 Lesson 8 Multiply and Divide with 9 6, Lesson 9 Building Fluency with s, 5s, 9s, and 0s 9, 6, 8, BIG IDEA Strategies for Factors and Products: s and 4s Tier Lesson Lesson 0 Multiply and Divide with 0, 9 Lesson Multiplication and Area 89 Lesson Multiply and Divide with 4 8, 0 Lesson Use the Strategy Cards 7 Lesson 4 Building Fluency with s, 5s, 9s, 0s, s, and 4s 8, 0, 9, 0 BIG IDEA 4 Multiply with and 0 Tier Lesson Lesson 5 Multiply and Divide with and 0 9, Lesson 6 Solve and Create Word Problems 6 Lesson 7 Play Multiplication and Division Games 6, Lesson 8 Building Fluency with s, 5s, 9s, 0s, s, 4s, 0s, and s 9, Lesson 9 Focus on Mathematical Practices, 7, 8 MATH EXPRESSIONS 0 CORRELATION
Math Expressions 0 Multiplication and Division with 6s, 7s, 8s and Multiply with Multiples of 0 BIG IDEA The Remaining Multiplications Tier Lesson Lesson Multiply and Divide with 6 0, Lesson Solve Area Word Problems 90 Lesson Multiply and Divide with 8 7, 5 Lesson 4 Write Word Problems and Equations 5, 6 Lesson 5 Multiply and Divide with 7 4, Lesson 6 Square Numbers 7 Lesson 7 Practice with 6s, 7s, and 8s 0, 7, 4, 5,, Lesson 8 Building Fluency with 0s 0s 40 BIG IDEA Problem Solving and Multiples of 0 Tier Lesson Lesson 9 Equations and Word Problems 4 Lesson 0 Write First-Step Questions for Two-Step Problems 7 Lesson Make Sense of Two-Step Word Problems 7 Lesson Multiply with Multiples of 0 54 Lesson Play Multiplication and Division Games 6, Lesson 4 Building Fluency with 0s 0s 40 Lesson 5 Focus on Mathematical Practices, 80 Measurement, Time, and Graphs BIG IDEA Length, Capacity, Weight, and Mass Tier Lesson Lesson Customary Units of Length 86 Lesson Customary Units of Liquid Volume 76 Lesson Metric Units of Liquid Volume 76, 78 Lesson 4 Customary Units of Weight and Metric Units of Mass 77 Lesson 5 Solve Word Problems 76, 77, 78 MATH EXPRESSIONS 0 CORRELATION
Math Expressions 0 BIG IDEA Time and Date Tier Lesson Lesson 6 Tell Time to Minute 7 Lesson 7 Before and After the Hour 7 Lesson 8 Elapsed Time 7, 7 Lesson 9 Add and Subtract Time 7, 74 Lesson 0 Solve Word Problems 7, 7, 7, 74, 75 BIG IDEA Pictographs, Bar Graphs, and Line Plots Tier Lesson Lesson Read and Create Pictographs and Bar Graphs 80, 8, 8, 8 Lesson Read and Create Bar Graphs with Multidigit Numbers 8, 8 Lesson Represent and Organize Data 79, 85 Lesson 4 Use Graphs to Solve Time or Measurement Word Problems 84, 85 Lesson 5 Focus on Mathematical Practices 79, 85, 86 4 Multidigit Addition and Subtraction BIG IDEA Understand Place Value and Rounding Tier Lesson Lesson Make Place Value Drawings 48, 50 Lesson Build Numbers 48, 50 Lesson Place Value in Word Problems 48, 50 Lesson 4 Practice with Place Value 48, 50 Lesson 5 Round to the Nearest Hundred 4, 4 Lesson 6 Round to the Nearest Ten 4, 4 BIG IDEA Addition and Subtraction Strategies and Group to Add Tier Lesson Lesson 7 Explore Multidigit Addition 47, 48 Lesson 8 Discuss Addition Methods 47, 48 Lesson 9 The Grouping Concept in Addition 47, 48 Lesson 0 Practice Addition 4 MATH EXPRESSIONS 0 CORRELATION
Math Expressions 0 BIG IDEA Ungroup to Subtract Tier Lesson Lesson Ungroup to Subtract 50 Lesson Subtract Across Zeros 5 Lesson Discuss Methods of Subtracting 50, 5 Lesson 4 Relate Addition and Subtraction 4 Lesson 5 Subtraction Practice 4 Lesson 6 Addition and Subtraction Practice 4 Lesson 7 Solve Word Problems 7 Lesson 8 Focus on Mathematical Practices 4 5 Write Equations to Solve Word Problems BIG IDEA Solve Word Problems Tier Lesson Lesson Addition and Subtraction Situations 4 Lesson Word Problems with Unknown Addends or Unknown Factors 6 Lesson Word Problems with Unknown Starts 6, 4 Lesson 4 Comparison Problems 4 Lesson 5 Comparison Problems with Misleading Language 4 Lesson 6 Word Problems with Extra, Hidden, or Not Enough Information BIG IDEA Solve Multidigit Word Problems Tier Lesson Lesson 7 Write First-Step Questions for Two-Step Problems 7 Lesson 8 Solve Two-Step Problems 7 Lesson 9 Solve Two-Step Problems 7 Lesson 0 Two-Step Equations with 4 Operations 7 Lesson Focus on Mathematical Practices 7 4 4 MATH EXPRESSIONS 0 CORRELATION
Math Expressions 0 6 Properties of Triangles and Quadrilaterals, Distinguish Between Perimeter and Area BIG IDEA Analyzing Triangles and Quadrilaterals Tier Lesson Lesson Triangles 0 Lesson Parallelograms, Rectangles, Squares, and Rhombuses 99, 0 Lesson Draw Quadrilaterals 0 Lesson 4 Classify Quadrilaterals 0 BIG IDEA Area and Perimeter Tier Lesson Lesson 5 Perimeter and Area 87, 9 Lesson 6 Side Lengths with Area and Perimeter 90, 9 Lesson 7 Relate Area and Perimeter 95, 96 Lesson 8 Area of Rectilinear Figures 9 Lesson 9 Solve Perimeter and Area Problems 90, 94 Lesson 0 Tangram Shapes and Area 87 Lesson Focus on Mathematical Practices 95, 99 7 Explore Fractions BIG IDEA Fraction Concepts Tier Lesson Lesson Understand Fractions 57 Lesson Model Fractions 55, 58 Lesson Locate Fractions on the Number Line 6 Lesson 4 Compare Unit Fractions 57, 68 Lesson 5 Compare Fractions 66, 67, 68 BIG IDEA Equivalent Fractions Tier Lesson Lesson 6 Introduce Equivalence 6 Lesson 7 Equivalent Fractions 6, 64 Lesson 8 Problem Solving with Fractions 64, 66 Lesson 9 Focus on Mathematical Practices 64, 66, 67, 68 MATH EXPRESSIONS 0 CORRELATION 5
Tier and Tier Intervention for Tier Lessons If students need additional support for Tier lessons, use the prerequisite skills and scaffolded examples listed below. Tier Lesson Tier Skills and Tier Examples Tier Lesson Tier Skills and Tier Examples S9, S40, S4, E9, E40, E4 S8, S4, E8, E4 S4, E4 4 S4, E4 5 S4, E4 6 S0, S9, S40, S4, S4, E0, E9, E40, E4, E4 5 S, S44, S46, S47, S48, S5, S5, E, E44, E46, E47, E48, E5, E5 6 S44, S46, S47, S5, E44, E46, E47, E5 7 S46, S48, S54, S60, E46, E48, E54, E60 8 S50, S56, S57, S59, S60, S6, E50, E56, E57, E59, E60, E6 9 S56, S57, S59, S60, S6, E56, E57, E59, E60, E6 7 S8, S9, S40, S4, E8, E9, E40, E4 8 S, S9, S44, S46, S47, S48, E, E9, E44, E46, E47, E48 9 S, S40, S4, S44, S46, S47, S48, E, E40, E4, E44, E46, E47, E48 0 S, S44, S46, S47, S48, S50, E, E44, E46, E47, E48, E50 S4, E4 S6, S4, S47, S8, E6, E4, E47, E8 S46, E46 4 S57, E57 5 S, S40, S56, S57, S59, S60, S6, E, E40, E56, E57, E59, E60, E6 6 S44, S46, S50, S54, E44, E46, E50, E54 7 S50, S56, S57, S59, S60, S6, E50, E56, E57, E59, E60, E6 8 S8, S46, E8, E46 9 S4, S44, E4, E44 0 S, S46, E, E46 S44, S46, E44, E46 S49, S57, E49, E57 0 S56, S57, S59, S60, S6, E56, E57, E59, E60, E6 S50, S56, S57, S58, S59, S60, S6, E50, E56, E57, E58, E59, E60, E6 S56, S57, S58, S59, S60, S6, E56, E57, E58, E59, E60, E6 S56, S57, S59, S60, S6, E56, E57, E59, E60, E6 4 S5, S, S5, S8, S9, S, S8, E5, E, E5, E8, E9, E, E8 5 S4, S44, E4, E44 6 S9, S54, E9, E54 7 S, S, S4, S54, S6, E, E, E4, E54, E6 8 S, S, S4, S54, S6, E, E, E4, E54, E6 9 S9, S0, S4, E9, E0, E4 40 S9, S, S9, S40, S4, S44, S48, S5, E9, E, E9, E40, E4, E44, E48, E5 4 S9, S54, E9, E54 4 S, S, E, E 4 S, S8, S0, S, E, E8, E0, E 44 S, S8, S, S5, E, E8, E, E5 S45, S46, S54, S56, S58, E45, E46, E54, E56, E58 4 S44, S46, S47, S48, S5, E44, E46, E47, E48, E5 45 S, S0, S, S9, S8, E, E0, E, E9, E8 46 S, S, S6, S7, S, E, E, E6, E7, E vi TIER TIER TIER CORRELATIONS
Tier and Tier Intervention for Tier Lessons If students need additional support for Tier lessons, use the prerequisite skills and scaffolded examples listed below. Tier Lesson Tier Skills and Tier Examples Tier Lesson Tier Skills and Tier Examples 47 S, S, E, E 48 S, S4, S, S, E, E4, E, E 49 S, S0, S, S9, S6, S0, S, S8, E, E0, E, E9, E6, E0, E, E8 77 S80, E80 78 S5, S, S8, S9, S, S45, S54, S58, S6, E5, E, E8, E9, E, E45, E54, E58, E6 79 S85, E85 50 S, S5, S7, S, S6, E, E5, E7, E, E6 5 S, S6, S7, S6, E, E6, E7, E6 5 S0, S5, S5, E0, E5, E5 5 S, S, S4, S54, E, E, E4, E54 54 S, S, S4, S54, E, E, E4, E54 55 S6, S64, E6, E64 56 S65, S9, E65, E9 57 S66, E66 58 S67, S68, E67, E68 59 S68, S69, E68, E69 60 S57, S7, E57, E7 6 S57, S7, E57, E7 6 S68, S69, E68, E69 6 S65, S69, S70, E65, E69, E70 64 S57, S69, S70, E57, E69, E70 65 S68, S69, S70, E68, E69, E70 66 S7, S69, E7, E69 67 S7, S69, E7, E69 68 S7, S68, E7, E68 69 S7, S7, E7, E7 70 S70, S7, S7, E70, E7, E7 7 S40, S74, E40, E74 7 S75, E75 7 S4, S, S4, S75, E4, E, E4, E75 74 S4, S7, S76, E4, E7, E76 75 S4, S7, S76, S77, E4, E7, E76, E77 80 S, S8, S9, S40, S4, S86, E, E8, E9, E40, E4, E86 8 S86, S87, E86, E87 8 S9, S88, E9, E88 8 S9, S40, S4, S89, E9, E40, E4, E89 84 S4, S7, S9, S88, E4, E7, E9, E88 85 S90, E90 86 S79, S90, E79, E90 87 S78, S8, E78, E8 88 S8, E8 89 S46, S54, S8, E46, E54, E8 90 S46, S55, S8, E46, E55, E8 9 S8, S84, E8, E84 9 S78, E78 9 S4, S79, S8, E4, E79, E8 94 S0, S8, E0, E8 95 S8, S84, E8, E84 96 S8, S84, E8, E84 97 S9, E9 98 S94, E94 99 S9, S94, S95, E9, E94, E95 00 S95, S97, E95, E97 0 S9, S98, E9, E98 0 S99, E99 0 S97, E97 04 S96, S99, S00, E96, E99, E00 76 S80, E80 TIER TIER TIER CORRELATIONS 05 S68, S8, E68, E8 vii