Lesson 8

Different Ways to Decompose

Lesson Purpose

The purpose of this lesson is for students to make sense of different methods for subtracting a two-digit number from a two-digit number and describe how the methods are the same and different.

Lesson Narrative

In previous lessons, students used their own methods for subtracting a two-digit number from a two-digit number. In this lesson, students make sense of different subtraction methods that use base-ten drawings to represent decomposing a ten to subtract by place. Students connect base-ten drawings to equations that represent the steps of a subtraction method. Throughout the lesson, students share claims and justify how methods are the same and how they are different with an emphasis on describing how tens are subtracted from tens and ones from ones and deepening their understanding of the properties of operations (MP3, MP7). 

Students should have access to base-ten blocks throughout the lesson and cool-down as they make sense of and try different methods and representations.

  • Engagement
  • MLR8

Learning Goals

Teacher Facing

  • Describe how methods of subtraction are the same and different when subtracting a one-digit number from a two-digit number.

Student Facing

  • Let’s compare different ways to subtract.

Required Materials

Materials to Gather

Required Preparation

CCSS Standards

Addressing

Lesson Timeline

Warm-up 10 min
Activity 1 15 min
Activity 2 20 min
Lesson Synthesis 10 min
Cool-down 5 min

Teacher Reflection Questions

What did you say, do, or ask to support students in trying each method for subtracting two-digit numbers from two-digit numbers? What will you do in upcoming lessons to help students make sense of and connect different methods?

Suggested Centers

  • Capture Squares (1–3), Stage 3: Add within 20 (Addressing)
  • Five in a Row: Addition and Subtraction (1–2), Stage 6: Add within 100 with Composing (Addressing)
  • Target Numbers (1–5), Stage 4: Subtract Tens or Ones (Addressing)

Print Formatted Materials

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Additional Resources

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PowerPoint Slides

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