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IM: 6.6.1: Tape Diagrams and Equations (Lesson)

By Newsela Staff
Last updated 6 days 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.

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

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

1.2: Match Equations and Tape Diagrams

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
1.3: Draw Diagrams for Equations
For each equation, draw a diagram and find the value of the unknown that makes the equation true.

18 = 3 +x

18 = 3 \sdot y

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?