## Envision Math 5th Grade Textbook Answer Key Topic 20.4 Problem Solving

**Problem Solving**

Use Objects

Answer:

A pentomino is an arrangement of 5 identical squares in a plane. The squares must be attached to one another edge to edge.

Question.

Using 5 identical square tiles, how can you build 3 more pentominoes that have 3 squares in a row?

Answer:

**Guided Practice**

**Do you know HOW?**

Question 1.

Is the following a pentomino? Explain.

Answer:

Question 2.

Are these two pentominoes the same or different? Explain.

Answer:

**Do you UNDERSTAND?**

Question 3.

In the example above, how many more pentominoes can you find with 3 in a row?

Answer:

Question 4.

Write a Problem Write a real-world problem that can be solved by using objects.

Answer:

**Independent Practice**

In 5 and 6, tell whether the pentominoes in each pair are related by a reflection or a rotation.

Question 5.

Answer:

Question 6.

Answer:

In 7 and 8, use objects to help you solve the problem.

Question 7.

How many pentominoes can you build with 5 in a row?

Answer:

Question 8.

How many pentominoes can you build with 4 in a row?

Answer:

**Read and Understand**

What am I asked to find?

Three more unique pentominoes that have 3 squares in a row

Two pentominoes are the same if they can be matched together by rotating or reflecting.

Plan and Solve

I can use objects to build 3 more pentominoes with 3 in a row.

Here are 3 possible solutions.

Look Back and Check

All are attached edge to edge.

All can be rotated and reflected. None are repeated.

The 3 pentominoes I’ve made are all unique.

Question 9.

Suppose each square in a pentomino is a table that seats one person on a side. Find a table arrangement (a pentomino) that can seat 12 people.

Answer:

Question 10.

The figure below can be folded to form a box. After it is folded, which face will be parallel to Face ABDC?

Answer:

Question 11.

Maureen is buying a game that is priced at $15. She has a coupon worth $2.50 off the regular price. After Maureen gives the clerk a $20 bill, how much change does she receive?

Answer:

Question 12.

James and Kurt were paid $176 for landscaping a yard. James worked 9 hours and Kurt worked 13 hours. How much is Kurt’s fair share of the earnings? James’s share?

Answer:

Question 13.

Use objects to build pentominoes with 2 squares in a row. How many of these kinds of pentominoes can be built?

Answer:

Question 14.

Make an organized list. How many different combinations of coins can make $0.42 if one of the coins is a quarter? One possible combination: 1 quarter, 17 pennies.

Answer:

Question 15.

At the concert, Mischa, Jordan, and Elijah are sitting together in a row. Make a list of the possible orders the three could be sitting.

Answer:

Question 16.

**Estimation**

A great white shark can weigh 4,400 lbs. A dolphin can weigh 440 lbs. About how many times as heavy is the shark as the dolphin?

Answer: