Lesson 8

Show Me All the Ways

Warm-up: Estimation Exploration: Tens and Ones (10 minutes)

Narrative

The purpose of an Estimation Exploration is to practice the skill of estimating a reasonable answer based on experience and known information. 

Launch

  • Groups of 2
  • Display the image.
  • “What is an estimate that’s too high?” “Too low?” “About right?”
  • 1 minute: quiet think time
  • Display the image.
  • “What is an estimate that’s too high?” “Too low?” “About right?”
  • 1 minute: quiet think time

Activity

  • “Discuss your thinking with your partner.”
  • 1 minute: partner discussion
  • Record responses.

Student Facing

  1.  
    Base ten diagram.

    Record an estimate that is:

    too low about right too high
    \(\phantom{\hspace{2.5cm} \\ \hspace{2.5cm}}\) \(\phantom{\hspace{2.5cm} \\ \hspace{2.5cm}}\) \(\phantom{\hspace{2.5cm} \\ \hspace{2.5cm}}\)
  2.  
    Base ten diagram.

    Record an estimate that is:

    too low about right too high
    \(\phantom{\hspace{2.5cm} \\ \hspace{2.5cm}}\) \(\phantom{\hspace{2.5cm} \\ \hspace{2.5cm}}\) \(\phantom{\hspace{2.5cm} \\ \hspace{2.5cm}}\)

Student Response

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Activity Synthesis

  • “Did anyone change their original ‘about right’ estimate? Why did you change it?”
  • “Let’s look at our revised estimates. Why were these estimates more accurate the second time?”

Activity 1: Represent Our Favorite Numbers (15 minutes)

Narrative

The purpose of this activity is for students to represent numbers within 100 using drawings, words, numbers, expressions, and equations. Students choose their favorite number and represent this number in different ways. In the next activity, students participate in a gallery walk to see their classmates’ representations.

Action and Expression: Internalize Executive Functions. Invite students to plan a method, including the tools they will use, for representing their favorite number. If time allows, invite students to share their plan with a partner before they begin.
Supports accessibility for: Conceptual Processing, Organization

Required Materials

Launch

  • Give each student a piece of blank paper and access to connecting cubes in towers of 10 and singles.
  • “We are going to create a class book. First you will plan out your page. Pick your favorite number between 20 and 100. You will represent your number in as many different ways as you can. You need to include at least three expressions. Let’s make a page together.”
  • Display the number 84.
  • “What are some ways that I can represent this number?” (I can draw 8 tens and 4 ones, 7 tens and 14 ones, \(80 + 4\), \(10 + 10 + 10 + 10 + 10 +10 + 10 + 10 + 4\), \(70 + 14\))
  • 30 seconds: quiet think time
  • 1 minute: partner discussion
  • Record responses.
  • If needed, ask:
    • “How can we represent 84 using only 6 tens?”
    • “What other addition expressions could we write?”

Activity

  • “Now create your page for our book.”
  • 5 minutes: independent work time

Student Response

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Advancing Student Thinking

If students have difficulty finding more than one expression to represent their number, consider asking:

  • “How can you show the number using connecting cubes?”
  • “Split the collection into two parts. How many are in this part? How many are in this part? What expression can you write?”

Activity Synthesis

  • “Talk to your partner about whether your page is easy to read and understand. You can revise your page based on your partner’s feedback.”

Activity 2: Gallery Walk: Our Favorite Numbers (10 minutes)

Narrative

The purpose of this activity is for students to interpret representations of numbers up to 100. Students participate in a gallery walk and find representations that are the same and different than their own. If time permits, students can return to their own work and revise based on what they saw in their classmates’ work. As students look through each others' work, they discuss how the representations are the same and different and can defend different points of view (MP3).

MLR7 Compare and Connect. Synthesis: After the Gallery Walk, lead a discussion comparing, contrasting, and connecting the different representations. To amplify student language and illustrate connections, follow along and point to the relevant parts of the displays as students speak.
Advances: Representing, Conversing

Required Materials

Required Preparation

  • Display student work from the previous activity for the gallery walk.

Launch

  • Groups of 2

Activity

  • “Visit different pages and notice which representations are shown. Which are the same as the representations you used? Which are different?”
  • 5 minutes: gallery walk

Activity Synthesis

  • “How are the representations of your number the same as your classmates’? How are they different?” (We all wrote expressions. Some students made more drawings than I did. I didn't represent my number with all ones, but someone did that for their number.)
  • “If you’d like, you can add to or revise the representations on your page.”

Activity 3: Centers: Choice Time (15 minutes)

Narrative

The purpose of this activity is for students to choose from activities that offer practice adding and subtracting within 20 and writing numbers up to 120. Students choose from three previously introduced centers. 

  • Compare
  • How Close?
  • Write Numbers

Required Materials

Materials to Gather

Required Preparation

Gather materials from:

  • Compare, Stage 2
  • How Close, Stages 1 and 2
  • Write Numbers, Stages 1-3

Launch

  • Groups of 2
  • “Now you are going to choose from centers we have already learned.”
  • Display the center choices in the student book.
  • “Think about what you would like to do.”
  • 30 seconds: quiet think time

Activity

  • Invite students to work at the center of their choice. 
  • 10 minutes: center work time

Student Facing

Choose a center.

Compare

Center. Compare.

How Close?

Center. How Close.

Write Numbers

Center. Write Numbers.

Activity Synthesis

  • “How was your center work helpful today?”

Lesson Synthesis

Lesson Synthesis

“Today we each made a page for our class number book. Look at your page. What new representations or ideas did you get from looking at other students’ work?” (I added the different ways to break apart my number using tens and ones. I saw different ways to use expressions and equations to represent a number.)

Cool-down: Unit 8, Section C Checkpoint (0 minutes)

Cool-Down

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