Lesson 02: Reasoning About Contexts with Tape Diagrams (Part 1) | Unit 6: Expressions, Equations, and Inequalities

Multiple Select

Select **all** stories that the tape diagram can represent.

• There are 87 children and 39 adults at a show. The seating in the theater is split into 4 equal sections.

• There are 87 first graders in after-care. After 39 students are picked up, the teacher put the remaining students into 4 groups for an activity.

• Lin buys a pack of 87 pencils. She gives 39 to her teacher and shares the remaining pencils between herself and 3 friends.

• Andre buys 4 packs of paper clips with 39 paper clips in each. Then he gives 87 paper clips to his teacher.

• Diego’s family spends $$87 on 4 tickets to the community festival and$$ 39 on dinner.

Open Ended

Explain how the parts of the tape diagram represent the story.

Multiple Choice

How much does Andre’s neighbor pay him each week to mow the lawn?

• 10
• 5
• 15
• 20

Multiple Choice

A school ordered 3 large boxes of board markers. After giving 15 markers to each of 3 teachers, there were 90 markers left. The diagram represents the situation. How many markers were originally in each box?

• 75
• 60
• 45
• 30

Draw

There are 88 seats in a theater. The seating in the theater is split into 4 identical sections. Each section has 14 red seats and some blue seats. Draw a tape diagram to represent the situation.

Open Ended

There are 88 seats in a theater. The seating in the theater is split into 4 identical sections. Each section has 14 red seats and some blue seats. What unknown amounts can be found by using the diagram or reasoning about the situation?

Multiple Choice

What does the tape diagram represent?

• The average of four segments of (x + 1) equals 5.
• The difference of two segments of (x - 1) equals 3.
• The product of three segments of (x + 1/2) equals 6.
• The sum of five segments of (x - 1/2) equals 4 1/2.

Multiple Choice

How much sugar was originally in each cake recipe?

• 1.5
• 1.0
• 2.0
• 0.5