Unit 3, Lesson 2
Reasoning about Contexts with Tape Diagrams
Accelerated 7
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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.
Andre wants to save \$40 to buy a gift for his dad. Andre’s neighbor will pay him weekly to mow the lawn, but Andre always gives a \$2 donation to the food bank in weeks when he earns money. Andre calculates that it will take him 5 weeks to earn the money for his dad’s gift. He draws a tape diagram to represent the situation.
Here is quadrilateral \(ABCD\).
Quadrilateral ABCD is on a grid. Point a is 2 units right and 4 units down from the edge of the grid. Point B is 2 units right and 2 units up from point A. Point C is 6 units right from point A. Point D is 2 units right and 4 units down from point A.
Quadrilateral \(PQRS\) is a scaled copy of quadrilateral \(ABCD\). Point \(P\) corresponds to \(A\), \(Q\) to \(B\), \(R\) to \(C\), and \(S\) to \(D\).
If the distance from \(P\) to \(R\) is 3 units, what is the distance from \(Q\) to \(S\)? Explain your reasoning.
Zapotec people in southern Mexico make woven rugs like this one. Find a pair of figures in the design that are scaled copies. Outline the two figures, and give the scale factor.
1 mm to 500 m