Lesson 5

Model Repeated Addition and Subtraction

Est. Class Sessions: 2–3

Summarizing the Lesson

Display the Number of Math Mice Features Master. Tell students you are going to add ears to your Math Mouse. Draw two ears on the display mouse. Title the last column of the data table on the Master "Number of Ears." Have student pairs complete the Mouse Ears page in the Student Activity Book. They will determine the amount of ears on one to six mice and write number sentences to describe each situation. Draw students' attention to the first row of the table. One mouse has 2 ears. The number sentence is 2 = 2.

  • How is this number sentence different from the ones we have been writing in this lesson? (The other ones repeat numbers. For example, 3 mice would have 6 ears. The number sentence is 2 + 2 + 2 = 6.)
  • Is 2 = 2 a true number sentence? Why or why not? (It is a true number sentence because the quantities on either side of the equal sign are the same.)
  • How does 2 = 2 describe this situation? (There is no repeated addition. 2 ears on one mouse is just 2.)

Upon completion, ask student volunteers to fill in the Number of Ears column on the data table on the displayed Master. Ask several to share their number sentences with the class.

  • What is the number sentence for the number of ears on 5 mice? (2 + 2 + 2 + 2 + 2 = 10.)
  • What do the twos represent in the number sentence? (There are 2 ears on each mouse.)
  • How did you know how many numbers to add in your number sentence? (Possible response: There were five mice, each with two ears, so I had to add 2 five times.)
  • Now that you have a number sentence for 5 mice, is it easy to write a number sentence for 6 mice? (Yes. For the number of ears, I just added one more 2 to my number sentence and I added 2 to the answer.
    10 + 2 = 12.)

Next, tell students to think about ten Math Mice and write 10 on the Number of Mice column on the data table. Assign each student pair one of the columns on the data table and ask them to find the information for 10 mice. There are seven columns including the Number of Ears column. They should write a number sentence describing the situation. For example, a pair assigned to the Number of Gray Lines for Body column would write 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 30. Students may use any strategy or tool to help them solve the problem.

  • How did you know what numbers to add to find the answer? (Possible response: For Number of Black Whiskers, I looked at the number of whiskers for one mouse, 6, and I added that number 10 times for 10 mice. It was 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 60.)
  • What does each number in your number sentence represent? (Possible response: Each 6 shows that there are 6 whiskers on a mouse.)
  • How many [sixes] are in your number sentence? Why? (Possible response: There are 10 sixes because there are 10 mice.)

To provide a more challenging task for some students, give them a repeated subtraction situation. For example, on an empty row, write 24 under the Number of Blue Dots for Eyes column and have student pairs fill in the number of mice on the chart. Then have them complete the row for the other features.

Assign the Squid Squares pages in the Student Activity Book to assess students' abilities to solve problems involving repeated addition or subtraction concepts. Make sure students see that each squid eye is made of three circles.

Use the Squid Squares pages with Feedback Box in the Student Activity Book to assess students' abilities to: represent repeated addition and repeated situations using counters and drawings [E2]; solve repeated addition and repeated subtraction problems using drawings, skip counting, and invented strategies [E3]; know the problem [MPE1]; find a strategy [MPE2]; and show my work [MPE5].

To provide targeted practice with solving repeated addition and repeated subtraction problems, place copies of the Math Monsters Masters in a center.

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