Lesson 8

Subtraction Strategies

Est. Class Sessions: 2

Developing the Lesson

Part 4: Sorting Subtraction Cards

Ask students to think about the many strategies they have shared and practiced in the lesson: counting on, counting back, counting up, thinking addition, subtract zero, and making ten. Show students the cards you prepared from the Subtraction Cards for Small Numbers 1–6 Masters and tell them that they are going to sort the cards by their differences.

Tell students that a difference is the answer to a subtraction problem. The activity is similar to the Sorting Sums activity in Lesson 1, but take a few minutes to use the sorting mat or chart paper to model sorting the subtraction cards as shown in Figure 10. Encourage students to use connecting cubes, ten frames, and number lines as tools as well as counting and reasoning strategies.

Display the completed Sorting Mat chart from Lesson 1. Challenge students to use the sums on the addition chart to help them solve subtraction problems. Ask at least one pair of students to complete the task using chart paper so that there will be a record for class discussion.

Talk with student pairs as they work. Acknowledge the effectiveness of their strategies and at the same time, encourage them to try new strategies or tools to move them towards more efficient strategies.

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  • How did you solve this problem?
  • Which strategy do you like to use the most?
  • I see you like to use [cubes to count up]. Have you tried using [name a tool or strategy student has not used]?
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Give a smaller set to students who may be overwhelmed with the task of sorting all 65 cards. The size of the numbers in the problems on the six pages of the Subtraction Cards for Small Numbers 1–6 Masters increases from the first page to the last. So some 1–6 Masters increases from the first page to the last. Alternatively, you can choose to focus students' thinking with particular sets of cards that will encourage students to look for patterns or reinforce earlier learning. For example, you can make a set that includes all the cards that subtract one, two, or three, so students can practice counting strategies. Using the set of cards that subtract zero can help students see a pattern for these problems. To reinforce the work on subtracting from 10, students can be given a set of cards with these problems.

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There are several ways to extend the lesson for students who are already comfortable with these subtraction facts. Challenge them to explain to other students good strategies for solving the problems. Insist that their explanations be complete and clear so that another student can use it to solve similar problems. As you discuss students' strategies for placing cards in particular groups, you can also challenge students to use the same strategies with larger numbers. Finally, ask students to look for patterns on the chart.

Students sorting subtraction cards
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