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IM: 6.6.1: Tape Diagrams and Equations (Lesson)

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Last updated 11 months ago
6 questions
1.1: Which Diagram is Which?
Here are two diagrams. One represents 2+5=7. The other represents 4\sdot3=12. Which is which? Label the length of each diagram.
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1.2: Match Equations and Tape Diagrams
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1.3: Draw Diagrams for Equations
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Question 1
1.

Which equation does this diagram represent and what is the length of the diagram?

Question 2
2.

Which equation does this diagram represent and what is the length of the diagram?

Question 3
3.

Here are two tape diagrams. Match each equation to one of the tape diagrams.

4+x=12
12\div4=x
4 \sdot x=12
12 = 4 + x
12 - x = 4
12 = 4 \sdot x
12 - 4 = x
x = 12 - 4
x + x + x + x = 12
For each equation, draw a diagram and find the value of the unknown that makes the equation true.
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Question 4
4.

18 = 3 +x

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Question 5
5.

18 = 3 \sdot y

Question 6
6.

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.
Which path leads to the treasure?