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
Addition and Subtraction Within 0 BIG IDEA Strategies for Addition and Subtraction Tier Lesson Lesson Represent Addition and Subtraction, 4, 6 Lesson Relate Addition and Subtraction, Lesson Make a Ten Strategies 0 Lesson 4 Relate Unknown Addends and Subtraction 0 Lesson 5 More Practice with Unknown Addends and Teen Totals, Lesson 6 Odd and Even Numbers 5 Lesson 7 Strategies Using Doubles 8 Lesson 8 Equations, Equation Chains, and Vertical Form 9 Lesson 9 Add Three or Four Addends BIG IDEA Addition and Subtraction Situations Tier Lesson Lesson 0 Add To and Take From Word Problems Lesson Add To and Take From Word Problems Unknown in All Positions Lesson Put Together and Take Apart Problems, Lesson Special Put Together and Take Apart Problems Lesson 4 Compare Word Problems, 4 Lesson 5 More Compare Word Problems Lesson 6 Mixed Word Problems 7, 0 BIG IDEA More Complex Situations Tier Lesson Lesson 7 Problems with Hidden, Not Enough, or Extra Information, 5 Lesson 8 More Complex Compare Problems 4, 6 Lesson 9 Two-Step Word Problems 7 Lesson 0 Mixed Word Problems 7, 4 Lesson Focus on Mathematical Practices,, 5, 7 MATH EXPRESSIONS 0 CORRELATION
Addition Within 00 BIG IDEA Use Place Value Tier Lesson Lesson Ones, Tens, and Hundreds Lesson Draw Quick Tens and Quick Hundreds 0 Lesson Represent Numbers in Different Ways 0, 8 Lesson 4 Combine Ones, Tens, and Hundreds 4, Lesson 5 Compare Numbers Within 00 5 BIG IDEA Add -Digit Numbers Tier Lesson Lesson 6 Explore -Digit Addition 7 Lesson 7 Addition Show All Totals Method 48, 49 Lesson 8 Addition New Groups Below Method 49 Lesson 9 Practice Addition with Sums over 00 7, 49, 64 Lesson 0 Choose an Addition Method 7, 49, 64 BIG IDEA Money and Fluency for Addition Within 00 Tier Lesson Lesson Buy with Pennies and Dimes 64, 85, 90 Lesson Pennies, Nickels, and Dimes 85 Lesson Fluency: Addition Within 00 7 Lesson 4 Add Three or Four -Digit Addends 50, 5 Lesson 5 Focus on Mathematical Practices 7, 5, 7, 85 MATH EXPRESSIONS 0 CORRELATION
Length and Shapes BIG IDEA Length and Shapes Tier Lesson Lesson Measure Length 78 Lesson Recognize and Draw Shapes 0 Lesson Estimate and Measure 7, 76 Lesson 4 Draw, Estimate, and Measure 7, 76, 0 Lesson 5 Draw Using Faces 00 BIG IDEA Estimate, Measure, and Make Line Plots Tier Lesson Lesson 6 Estimate and Measure with Centimeters 7, 76 Lesson 7 Estimate and Measure with Inches 7, 74 Lesson 8 Measure for and Make Line Plots 74, 76, 9 Lesson 9 Focus on Mathematical Practices 7, 7, 0 4 Subtract -Digit Numbers BIG IDEA Totals of Mixed Coins and Bills Tier Lesson Lesson Explore Quarters 86 Lesson Explore Dollars 89, 90 MATH EXPRESSIONS 0 CORRELATION
BIG IDEA Multidigit Subtraction Strategies Tier Lesson Lesson Addends and Subtraction 64, 65 Lesson 4 Subtraction Word Problems 4, 65 Lesson 5 Two Methods of Subtraction 44, 65 Lesson 6 Practice and Explain a Method 4, 65 Lesson 7 Subtract from 00 4, 65 Lesson 8 Ungroup from the Left or from the Right 65 Lesson 9 Zero in the Ones or Tens Place 6 Lesson 0 Model Subtraction with Money 60, 9 Lesson Fluency: Subtraction Within 00 4 BIG IDEA Word Problems: Addition and Subtraction Within 00 Tier Lesson Lesson Word Problems with Addition and Subtraction 7, 4 Lesson Equations with Greater Numbers Lesson 4 Practice Addition and Subtraction 7, 4 Lesson 5 Buy and Sell with One Dollar 45, 89 Lesson 6 Word Problems with Unknown Addends 45 Lesson 7 More Word Problems with Unknown Addends 45 Lesson 8 Start Unknown Problems, 4 Lesson 9 Compare Word Problems, 4 Lesson 0 Mixed Word Problems, 4 Lesson Two-Step Problems 7 Lesson More Two-Step Problems 7, 4 Lesson Focus on Mathematical Practices, 6, 4, 78 4 MATH EXPRESSIONS 0 CORRELATION
5 Time, Graphs, and Word Problems BIG IDEA Time Tier Lesson Lesson Hours and A.M. or P.M. 8, 84 Lesson Hours and Minutes 4, 8 BIG IDEA Picture Graphs Tier Lesson Lesson Discuss Picture Graphs 94, 95 Lesson 4 Read Picture Graphs 94, 95 BIG IDEA Bar Graphs Tier Lesson Lesson 5 Introduce Bar Graphs 96 Lesson 6 Read Bar Graphs 96, 97 Lesson 7 Solve Problems Using a Bar Graph 96, 97 Lesson 8 Collect and Graph Data 9, 95, 97 Lesson 9 Make Graphs and Interpret Data 94, 98 Lesson 0 Focus on Mathematical Practices 95, 97 6 -Digit Addition and Subtraction BIG IDEA Understanding Numbers to,000 Tier Lesson Lesson Count Numbers to,000 0, Lesson Place Value Lesson Compare Numbers with 999 5 Lesson 4 Count by Ones and by Tens, 6 Lesson 5 Add Ones, Tens, and Hundreds 5 MATH EXPRESSIONS 0 CORRELATION 5
BIG IDEA Adding to,000 Tier Lesson Lesson 6 -Digit Addition 56 Lesson 7 Discuss -Digit Addition 56, 65 Lesson 8 Word Problems: Unknown Addends, 5 BIG IDEA -Digit Subtraction Tier Lesson Lesson 9 Subtract from Hundreds Numbers 57 Lesson 0 Subtract from Numbers with Zeros 6 Lesson Subtract from Any -Digit Number 60 Lesson Practice Ungrouping 60 BIG IDEA 4 -Digit Addition and Subtraction Tier Lesson Lesson Relationships Between Addition and Subtraction Methods 56, 60 Lesson 4 Mixed Addition and Subtraction Word Problems 56, 57 Lesson 5 Focus on Mathematical Practices 5, 56 7 Arrays, Equal Shares, and Adding or Subtracting Lengths BIG IDEA Arrays and Equal Shares Tier Lesson Lesson Arrays, Partitioned Rectangles, and Equal Shares 04 Lesson Find Equal Shares 05 BIG IDEA Relate Addition and Subtraction to Length Tier Lesson Lesson Length Word Problems and Number Line Diagrams 79, 80 Lesson 4 Add Three and Four Lengths 79, 0 Lesson 5 More Length Word Problems 80 Lesson 6 Focus on Mathematical Practices 8, 04, 07 6 MATH EXPRESSIONS 0 CORRELATION
Tier and Tier Intervention for Tier Lessons If children 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 S, S0, S, S, S5, E, E0, E, E, E5 S, S0, S, S, S5, E, E0, E, E, E5 S, S0, E, E0 4 S, S0, E, E0 5 S, S, S5, E, E, E5 6 S, S, S5, E, E, E5 7 S, S, S, S4, S49, E, E, E, E4, E49 8 S4, S5, E4, E5 9 S, S, S4, S5, S0, E, E, E4, E5, E0 0 S0, S6, E0, E6 S, S, S4, S6, E, E, E4, E6 S9, S0, S4, S5, S6, S7, S0, E9, E0, E4, E5, E6, E7, E0 S6, S7, E6, E7 4 S9, S7, E9, E7 5 S, E 6 S, S, E, E 8 S, S8, E, E8 9 S8, S55, E8, E55 0 S55, E55 S5, S7, S6, E5, E7, E6 S6, E6 S55, S60, E55, E60 4 S40, S60, E40, E60 5 S4, E4 6 S5, E5 7 S44, E44 8 S45, E45 9 S0, S5, E0, E5 40 S9, S47, E9, E47 4 S54, E54 4 S54, E54 4 S50, E50 44 S50, E50 45 S, S8, E, E8 46 S8, S, E8, E 7 S, S, E, E 8 S, S8, E, E8 9 S7, S, E7, E 0 S4, S5, E4, E5 S4, S56, E4, E56 S5, E5 S7, S, E7, E 47 S8, S4, E8, E4 48 S4, S48, E4, E48 49 S5, E5 50 S5, S8, E5, E8 5 S8, E8 5 S60, E60 5 S46, S58, E46, E58 4 S6, E6 5 S8, E8 6 S6, E6 7 S, E 54 S45, S5, S6, E45, E5, E6 55 S4, S59, S6, E4, E59, E6 56 S6, S64, E6, E64 57 S55, S60, E55, E60 vi TIER TIER TIER CORRELATIONS
Tier and Tier Intervention for Tier Lessons If children 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 58 S55, S60, E55, E60 59 S59, S65, E59, E65 60 S65, S66, E65, E66 6 S58, S66, E58, E66 84 S87, E87 85 S4, S8, E4, E8 86 S7, S8, S, E7, E8, E 87 S6, E6 6 S9, E9 6 S57, E57 64 S5, E5 65 S55, E55 66 S76, S77, S78, E76, E77, E78 67 S78, E78 68 S78, E78 69 S79, E79 70 S78, E78 7 S8, E8 7 S80, E80 7 S84, E84 74 S78, E78 75 S8, E8 76 S8, E8 77 S85, E85 78 S, E 79 S8, E8 80 S8, E8 8 S86, E86 8 S8, S87, E8, E87 8 S88, E88 88 S89, S90, E89, E90 89 S89, S90, E89, E90 90 S9, E9 9 S9, E9 9 S80, E80 9 S94, E94 94 S9, E9 95 S9, E9 96 S9, E9 97 S95, E95 98 S96, E96 99 S7, S7, E7, E7 00 S7, E7 0 S69, E69 0 S68, E68 0 S68, S70, E68, E70 04 S67, E67 05 S7, E7 06 S7, E7 07 S75, E75 08 S74, E74 TIER TIER TIER CORRELATIONS vii