Lesson 7

Practice Strategies for Larger Numbers

Est. Class Sessions: 2–3

Developing the Lesson

Part 1: Build Addition Strategies Menu for Larger Numbers

Solve Addition Facts with Larger Sums. Display the Invented Strategies chart from Lesson 1. Ask students to work with a partner to solve the problems on the Nan and Bert Problems pages in the Student Activity Book. As students are working, display the following facts from the Addition Cards for Larger Sums 1–2 Master you prepared. These facts correspond to the problems on the Nan and Bert Problems page.

SG_Mini

After students have solved all five problems, discuss strategies for each problem. Questions 4 and 5 both correspond to the addition fact 8 + 8.

  • Which strategy do you think is the most efficient strategy for [9 + 5]? (Possible response: I thought about ten. 10 + 5 = 15 so 9 + 5 is one less or 14.)
  • Is this strategy on our Invented Strategies chart?
  • Should this strategy be added to the chart?
  • Did someone solve [9 + 5] another way?
  • Which strategy do you think is better? Why?

Based on students' responses, tape the corresponding addition card near that strategy on the chart. See Figure 1. If there is more than one strategy that makes sense for that fact, display the card on one strategy and write the same fact by the other strategy.

Sort Addition Facts by Strategy. There should be 16 Addition Cards for Larger Sums left. Distribute these cards among the students and ask them to decide which strategy they think is best for solving each fact. As students decide, ask them to attach the card to the Invented Strategies chart. Encourage students to choose a strategy that makes sense to them. There is not one strategy for each fact. Students will need to see the facts displayed during the next activity in this lesson. Ask a few students to share why they chose a strategy for a particular fact. See Figure 1.

Build My Addition Strategies Menu. Display the Addition Strategies Menu for Small Numbers page in the Student Activity Book Reference section. Remind students that they developed this menu in Unit 6. See Figure 2.

  • Look at the Addition Strategies Menu. Are these the same strategies you are using to solve the addition facts with larger numbers? (Possible response: Yes, mostly. I am not using counting on very much because the numbers are larger.)
  • What is different? (Possible response: The making ten strategy is a little different. I have to break apart a number to find the sum of ten.)
  • I want to make a menu of strategies for larger numbers. What would you change about this menu? (Possible response: The examples should change.)

Ask students to use the My Addition Strategies Menu for Larger Numbers page from the Student Activity Book to make their own version of the Addition Strategies Menu but with larger numbers for examples. Tell students to look at the addition facts and the strategies displayed on the Invented Strategies chart to help them choose an appropriate fact and draw an example in each box on the My Addition Strategies Menu for Larger Numbers page. To guide this task, choose a strategy to focus on and display some facts. For example, focus on Making Ten and write the following facts on the board: 8 + 3, 5 + 6, 4 + 7.

  • Which of these addition facts would you solve by using the making ten strategy? (Possible response:
    5 + 6)
  • Describe your strategy. (Possible response:
    5 + 5 + 1 = 11 because 5 + 5 is 10 and 10 + 1 is 11.)
  • What tools might you use to describe your thinking? (Possible response: Two ten frames. I placed 5 in the first ten frame and then 5 more. There was one left over for the second ten frame.)
  • What might you draw in the "Making Ten" box to show this strategy? (Possible response: I would draw two ten frames and my solution to the problem.)

Continue to complete the other boxes on the menu using similar discussion prompts. The blank box is for other strategies students want to include. If students need additional space, they can continue to add strategies on the back of the page.

Compare Menus. Display the Addition Strategies Menu for Larger Numbers in the Student Activity Book Reference section.

  • How are they the same?
  • How are they different?
  • Is there a strategy you would like to add?
  • You showed the counting-on strategy with a [ten frame], is that different than showing it with a [number line]?
  • Are there strategies on the Invented Strategies chart that you would add to the My Addition Strategies Menu for Larger Numbers?
  • Which strategy might you use most often to solve addition problems with larger sums? (Possible response: Making ten seems like a strategy I would use a lot to solve problems with larger sums.)

Introduce Move It to Make Ten. Gather the sets of Ten Frame Cards 1–9 you prepared. Display two cards: one showing 6 and the other showing 9.

  • What do you need to move to make ten? (Possible response: I move 1 to the ten frame with 9 and that leaves 5.)
  • What number is represented? (15)
  • What number sentence is represented with these two ten frames? (9 + 6 or 10 + 5)

Repeat this activity several more times with other pairs of ten frame cards.

X
SAB_Mini
+
X
SAB_Mini
+
X
SAB_Mini
+
X
SAB_Mini
+
Sample Invented Strategies chart with addition facts
X
+
Addition Strategies Menu for Small Numbers from the Reference section
X
+
Addition Strategies Menu for Larger Numbers from the Reference section
X
+