IM: 6.6.1: Tape Diagrams and Equations (Lesson)

Last updated about 1 year ago

6 questions

1.1: Which Diagram is Which?

1.2: Match Equations and Tape Diagrams

1.3: Draw Diagrams for Equations

Question 6

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IM: 6.6.1: Tape Diagrams and Equations (Lesson)

Last updated about 1 year 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.

Question 1

1.2: Match Equations and Tape Diagrams

Question 3

1.3: Draw Diagrams for Equations

For each equation, draw a diagram and find the value of the unknown that makes the equation true.

Question 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?

Here are two diagrams. One represents 2+5=7. The other represents 4\sdot3=12. Which is which? Label the length of each diagram.

Question 1

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

Question 2

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

Question 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.

Question 4

18 = 3 +x

Question 5

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?

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

Question 2

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

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

Question 4

18 = 3 +x

Question 5