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Tape Diagrams and Equations: IM 6.6.1
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1. Lesson 6.6.1
- IM 6.6.1 Lesson: Tape Diagrams and Equations
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2. Practice 6.6.1
- IM 6.6.1 Practice: Tape Diagrams and Equations
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Tape Diagrams and Equations: IM 6.6.1
IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 18, 2020

“Tape Diagrams and Equations” from IM Grade 6 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 6.6.1
- IM 6.6.1 Lesson: Tape Diagrams and Equations
- Practice 6.6.1
- IM 6.6.1 Practice: Tape Diagrams and Equations
IM 6.6.1 Lesson: Tape Diagrams and Equations
Label the length of the diagram.

Which equation is represented by the diagram above?
Label the length of the diagram.

Which equation is represented by the diagram above?
Draw a diagram to represent the equation 4 + 3 = 7.

Draw a diagram that represents the equation 4 ∙ 3 = 12.

Here is a tape diagram. Which equations match this diagram?

Here is a tape diagram. Which equations match this diagram?

Draw a diagram that represents the equation 18 = 3 + x.

Find the value of the unknown that makes the equation true.
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Draw a diagram that represents the equation 18 = 3 ∙ y.

Find the value of the unknown that makes the equation true.
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You are walking down a road, seeking treasure. The road branches off into three paths. A guard stands in each path. You know that only one of the guards is telling the truth, and the other two are lying. Here is what they say:
- Guard 1: The treasure lies down this path.
- Guard 2: No treasure lies down this path; seek elsewhere.
- Guard 3: The first guard is lying.
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IM 6.6.1 Practice: Tape Diagrams and Equations
Here is an equation: x + 4 = 17. Draw a tape diagram to represent the equation.


Which part of the diagram shows the quantity ? What about 4? What about 17?
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How does the diagram show that has the same value as 17?
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Diego is trying to find the value of x in 5 ∙ x = 35. He draws this diagram but is not certain how to proceed. Complete the tape diagram so it represents the equation 5 ∙ x = 35.


Diego is trying to find the value of x in . Find the value of .
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Which equations match to the following tape diagram?

Which equations match to the following tape diagram?

Here is an equation: x + 9 = 16. Draw a tape diagram to represent the equation.


Find the unknown value of .
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Here is an equation: 4 ∙ x = 28. Draw a tape diagram to represent the equation.


Find the unknown value of .
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A shopper paid $2.52 for 4.5 pounds of potatoes, $7.75 for 2.5 pounds of broccoli, and $2.45 for 2.5 pounds of pears.
What is the unit price of potatoes? Show your reasoning.
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What is the unit price of broccoli? Show your reasoning.
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What is the unit price of pears? Show your reasoning.
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A sports drink bottle contains 16.9 fluid ounces. Andre drank 80% of the bottle. How many fluid ounces did Andre drink? Show your reasoning.
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The daily recommended allowance of calcium for a sixth grader is 1,200 mg. One cup of milk has 25% of the recommended daily allowance of calcium. How many milligrams of calcium are in a cup of milk? If you get stuck, consider using the double number line.
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