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## Bridges in Mathematics Grade 5 Home Connections Answer Key Unit 6 Module 3

**Bridges in Mathematics Grade 5 Home Connections Unit 6 Module 3 Session 1 Answer Key**

**Measurement & Multiplication Review**

Question 1.

a. How many meters are in 1 kilometer?

Answer:

1,000 meters,

Explanation:

In 1 kilometer there are 1,000 meters.

b. How many meters are in 3 kilometers?

Answer:

3,000 meters,

Explanation:

In 1 kilometer there are 1,000 meters so in 3 kilometers we have 3 X 1,000 = 3,000 kilometers.

Question 2.

Our school’s swimming pool is 25 meters long. If our coach wants us to swim 3 kilometers, how many lengths of the pool will we need to swim? Show all your work.

Answer:

120 meters lengths of the pool will be needed to swim,

Explanation:

Given school’s swimming pool is 25 meters long. If our coach wants us to swim 3 kilometers, the lengths of the pool will we need to swim is 3 X 1,000 meter/25 = 3,000/25 meters = 120 meters.

Question 3.

The distance around our school’s playing field is 300 meters. If our coach wants us to run 3 kilometers, how many times will we need to run around the field?

Answer:

10 times he will need to run around the field,

Explanation:

Given the distance around our school’s playing field is 300 meters. If our coach wants us to run 3 kilometers, number of times will we need to run around the field is 3 X 1,000 / 300 = 3,000/300 = 10.

Question 4.

**CHALLENGE** How many centimeters are there in 1 meter?

a. How many square centimeters are in 1 square meter?

Answer:

10,000 square centimeters,

Explanation:

As we know 1 square meter is equal to 10,000 square centimeters, so 10,000 square centimeters are in 1 square meter.

b. How many cubic centimeters are in 1 cubic meter?

Answer:

1,000,000 cubic centimeters,

Explanation:

As 1 meter = 100 cm, 1 cubic meter = 100 cm X 100 cm X 100 cm = 1,000,000 cubic centimeters, therefore are 1,000,000 cubic centimeters are in 1 cubic meter.

Question 5.

Think about rounding to estimate the answers to the problems below. Then rewrite each problem vertically and solve it using the standard algorithm. Check your answer against your estimate to make sure that it is reasonable.

Answer:

Explanation:

Thought about rounding to estimate the answers to the problems above. Then rewritten each problem vertically and solved it using the standard algorithm. Checked my answer against my estimate to make sure that it is reasonable.

Question 6.

Circle the two numbers whose product is 627.

13

19

33

49

Answer:

Explanation:

Asked to circle the two numbers whose product is 627, We will check with all the numbers

1. 13 X 19 = 247, 2. 13 X 33 = 429, 3. 13 X 49 = 637, 4. 19 X 33 = 627, 5. 19 X 49 = 931, 6. 33 X 49 = 1,617. Therefore as 19 X 33 = 627 the numbers are 19 and 33 so circle them.

**Bridges in Mathematics Grade 5 Home Connections Unit 6 Module 3 Session 3 Answer Key**

**Camping Trip**

The Zamora family is going on a camping trip next week. There are four people in the family: Mr. and Mrs. Zamora and the 11-year-old twins, Ramon and Daria. Help them do some planning for their trip. Fill in the bubble beside the correct answer to each question below.

Question 1.

Mrs. Zamora wants to cut a piece of rope that’s long enough to dry the family’s laundry on every day. Which of these units should she use to measure the rope?

inches

feet

yards

miles

Answer:

Explanation:

Given Zamora family is going on a camping trip next week. There are four people in the family: Mr. and Mrs. Zamora and the 11-year-old twins, Ramon and Daria. Mrs. Zamora wants to cut a piece of rope that’s long enough to dry the family’s laundry on every day. So units should she use to measure the rope is 1 inches = 2.54 centimeters, 1 feet = 30.48 centimeters which is small for family laundry, 1 yards = 91.44 centimeters, 1 miles = 1,60,934 centimeters,

therefore best fit will be in yards. Filled in the bubble beside the correct answer.

Question 2.

Mr. Zamora wants to figure out how far they’ll have to drive to get to the campsite. He already knows it will take about a day to get there. Which of these units should he use?

inches

feet

yards

miles

Answer:

Explanation:

As Mr. Zamora wants to figure out how far they’ll have to drive to get to the campsite. He already knows it will take about a day to get there. Out of these units should he use are as 1 inches = 2.54 centimeters, 1 feet = 30.48 centimeters which is small for family laundry, 1 yards = 91.44 centimeters, 1 miles = 1,60,934 centimeters therefore best fit will be in miles. Filled in the bubble beside the correct answer.

Question 3.

Ramon wants to find the area of his sleeping bag to see how much room he’ll have in the family’s tent. Which of these units should he use?

square inches

square feet

square yards

square miles

Answer:

Explanation:

As Ramon wants to find the area of his sleeping bag to see how much room he’ll have in the family’s tent. Out of these units should he use are as 1 square inches = 6.4516 square centimeters, 1 square feet = 929.03 square centimeters which is small for family laundry, 1 square yards = 8361.27 square centimeters, 1 square miles = 2.59e+10 square centimeters therefore best fit will be in square feet filled in the bubble beside the correct answer.

Question 4.

Daria says that when they arrive she’s going to measure the area of their campsite. Mrs. Zamora says the campsite is big enough for their car, their tent, their picnic table and chairs, and their campfire, with a little room left over. Which of these units should Daria use?

square inches

square feet

square yards

square miles

Answer:

Explanation:

As Daria says that when they arrive she’s going to measure the area of their campsite. Mrs. Zamora says the campsite is big enough for their car, their tent, their picnic table and chairs, and their campfire, with a little room left over. Out of these units should Daria use are 1 square inches = 6.4516 square centimeters, 1 square feet = 929.03 square centimeters which is small for family laundry, 1 square yards = 8,361.27 square centimeters, 1 square miles = 2.59e+10 square centimeters therefore best fit will be in square miles filled in the bubble beside the correct answer.

Question 5.

Mr. Zamora wants to find the volume of the car’s trunk so he’ll know how much luggage will fit. Which of these units should he use?

cubic inches

cubic feet

cubic yards

Answer:

Explanation:

Given Mr. Zamora wants to find the volume of the car’s trunk so he’ll know how much luggage will fit. Out of these units should he use are as 1 cubic inches = 16.3871 cubic centimeters, 1 cubic feet = 28,316.8 cubic centimeters, 1 cubic yards = 7,64,555 cubic centimeters so the best fit will be cubic yards filled in the bubble beside the correct answer.

Question 6.

Daria is going to collect pebbles at the lake. She wants to measure the volume of a metal lunch box to keep them in. Which of these units should she use?

cubic inches

cubic feet

cubic yards

Answer:

Explanation:

As Daria is going to collect pebbles at the lake. She wants to measure the volume of a metal lunch box to keep them in. Out of these units should she use are as 1 cubic inches = 16.3871 cubic centimeters, 1 cubic feet = 28,316.8 cubic centimeters, 1 cubic yards = 7,64,555 cubic centimeters so the best fit will be cubic feet filled in the bubble beside the correct answer.

**Review**

Question 7.

Jasmine is planning a large family gathering. She needs to rent at least 200 chairs. Company A charges $0.50 per chair for the first 100 and then $0.25 for every chair after that. Company B charges $0.40 per chair.

a. Which company should Jasmine rent from? Explain your answer.

Answer:

Company B,

Explanation:

As Jasmine is planning a large family gathering. She needs to rent at least 200 chairs. Company A charges $0.50 per chair for the first 100 and then $0.25 for every chair after that. Company B charges $0.40 per chair. If Jasmine is planning for company A then the cost is

(100 X $0.50) + (100 X $0.75) = $50 + $75 = $125 and if planning for company B then the cost is (200 X $0.40) = $80 so $125 > $80 the company should Jasmine rent from is Company B.

b. How much money will she save by using that company? Show your work.

Answer:

$45,

Explanation:

As Jasmine is planning a large family gathering. She needs to rent at least 200 chairs. Company A charges $0.50 per chair for the first 100 and then $0.25 for every chair after that. Company B charges $0.40 per chair. If Jasmine is planning for company A then the cost is

(100 X $0.50) + (100 X $0.75) = $50 + $75 = $125 and if planning for company B then the cost is (200 X $0.40) = $80 so $125 > $80 much money will she save by using that company B is $125 – $80 = $45.

Question 8.

Frank bought several items in the produce department of his grocery store for a family gathering. He purchased 13.25 pounds of apples and twice that amount of oranges. What was the total weight of the fruit that Frank bought? Show your work.

Answer:

The total weight of the fruit that Frank bought are 39.75 pounds,

Explanation:

As Frank bought several items in the produce department of his grocery store for a family gathering. He purchased 13.25 pounds of apples and twice that amount of oranges. The total weight of the fruit that Frank bought are 13.25 pounds + 2 X 13.25 pounds = 13.25 pounds + 26.50 pounds = 39.75 pounds.

Question 9.

**CHALLENGE** Frank also made punch to take to the family gathering. He filled a jar with 3\(\frac{3}{4}\) liters of punch and another jar with 5\(\frac{3}{4}\) liters of punch. On his way to the family gathering, some of the punch spilled out of the jars in his car. Only 1\(\frac{1}{2}\) liters were left in the first jar, and 3\(\frac{1}{4}\) liters were left in the second jar. How much of the punch was spilled?

Answer:

Much of the punch was spilled is 4\(\frac{3}{4}\) liters,

Explanation:

Given Frank also made punch to take to the family gathering. He filled a jar with 3\(\frac{3}{4}\) liters of punch and another jar with 5\(\frac{3}{4}\) liters of punch. On his way to the family gathering, some of the punch spilled out of the jars in his car. Only 1\(\frac{1}{2}\) liters were left in the first jar and 3\(\frac{1}{4}\) liters were left in the second jar. Total liters of punch are 3\(\frac{3}{4}\) liters + 5\(\frac{3}{4}\) liters first we make mixed fraction into fractions as \(\frac{3 X 4 + 3}{4}\) liters + \(\frac{5 X 4 + 3}{4}\) liters = \(\frac{15}{4}\) liters +\(\frac{23}{4}\) liters = \(\frac{15 + 23}{4}\) liters = \(\frac{38}{4}\) liters both goes in 2 we get \(\frac{19 X 2}{2 X 2}\) liters = \(\frac{19}{2}\) liters, Now left in two jars are 1\(\frac{1}{2}\) liters + 3\(\frac{1}{4}\) liters first we make mixed fraction into fractions as \(\frac{1 X 2 + 1}{2}\) liters + \(\frac{3 X 4 + 1}{4}\) liters = \(\frac{3}{2}\) liters + \(\frac{13}{4}\) liters as denominators are not the same we make first common denominator as \(\frac{3 X 2}{4}\) liters + \(\frac{13}{4}\) liters we get \(\frac{6 + 13}{4}\) liters = \(\frac{19}{4}\) liters therefore much of the punch was spilled is

\(\frac{19}{2}\) liters – \(\frac{19}{4}\) liters as denominators are not the same we make first common denominator as \(\frac{19 x 2}{4}\) liters – \(\frac{19}{4}\) = \(\frac{38}{4}\) liters – \(\frac{19}{4}\) we get

\(\frac{38 – 19}{4}\) liters = \(\frac{19}{4}\) liters as numerator is greater we write in mixed fraction as \(\frac{4 X 4 + 3}{4}\) liters = 4\(\frac{3}{4}\) liters.

**Bridges in Mathematics Grade 5 Home Connections Unit 6 Module 3 Session 5 Answer Key**

**Another Camping Trip**

The Eng family is going on a camping trip next week. There are 4 people in the family: Mr. and Mrs. Eng and their children, Jason and Kristen. Help them do some planning for their trip. Fill in the bubble beside the correct answer to each question below.

Question 1.

The shoelaces on Jason’s tennis shoes are almost worn out. He has to measure them so he gets the right length at the store. Which of these units should he use?

millimeters

centimeters

meters

kilometers

Answer:

Explanation:

As the Eng family is going on a camping trip next week. There are 4 people in the family: Mr. and Mrs. Eng and their children, Jason and Kristen. The shoelaces on Jason’s tennis shoes are almost worn out. He has to measure them so he gets the right length at the store. Out of these units should he use are 1 millimeters = 0.1 centimeters, 1 meters = 100 centimeters and 1 kilometers = 1,00,000 centimeters so it will be centimeters. Filled in the bubble beside the correct answer.

Question 2.

Mrs. Eng says it will be a 3-minute walk from their tent to the lake. Kristen wants to measure the distance. Which of these units should she use?

millimeters

centimeters

meters

kilometers

Answer:

Explanation:

As Mrs. Eng says it will be a 3-minute walk from their tent to the lake. Kristen wants to measure the distance. Out of these units should he use are 1 millimeters = 0.1 centimeters, 1 meters = 100 centimeters and 1 kilometers = 1,00,000 centimeters so it will be meters. Filled in the bubble beside the correct answer.

Question 3.

Kristen wants to find the area of the floor of her family’s tent to make sure everything will fit. Which of these units should she use?

square centimeters

square meters

square kilometers

Answer:

Explanation:

As Kristen wants to find the area of the floor of her family’s tent to make sure everything will fit. Out of these units should she use are as 1 square meters = 10,000 centimeters and 1 square kilometers = 1e+10 centimeters therefore it is square meters. Filled in the bubble beside the square meters of the correct answer.

Question 4.

Jason says that when they arrive, he’s going to measure the area of the parking space to make sure their truck and bikes will fit. Which of these units should he use?

square centimeters

square meters

square kilometers

Answer:

Explanation:

Given Jason says that when they arrive, he’s going to measure the area of the parking space to make sure their truck and bikes will fit. Out of these units should he use are as 1 square meters = 10,000 centimeters and 1 square kilometers = 1e+10 centimeters therefore it is square kilometers. Filled in the bubble beside the square kilometers of correct answer.

Question 5.

Which formula should Kristen use to find the area of the campsite?

A = 2l × 2w

A = l × w × h

A = l × w

A = B × h

Answer:

Explanation:

To apply which formula should Kristen use to find the area of the campsite is we got square meters so Area = length X width as length is measured in meter and width in meter it is

A = l X W filled in the bubble beside the correct answer.

Question 6.

Mr. Eng wants to find the volume of the family car trunk so he’ll know how much luggage will fit back there. Which of these units should he use?

cubic millimeters

cubic centimeters

cubic meters

Answer:

Explanation:

Given Mr. Eng wants to find the volume of the family car trunk so he’ll know how much luggage will fit back there. Out of these units should he use 1 cubic millimeters = 1 cubic centimeters, 1 cubic meters = 10,00,000 cubic centimeters filled in the bubble beside the cubic meters of the correct answer.

Question 7.

Jason wants to measure the volume of a shoe box to find out how many comic books he can fit into it for the trip. Which of these units should he use?

cubic millimeters

cubic centimeters

cubic meters

Answer:

Explanation:

As Jason wants to measure the volume of a shoe box to find out how many comic books he can fit into it for the trip. Out of these units should he use 1 cubic millimeters = 1 cubic centimeters, 1 cubic meters = 10,00,000 cubic centimeters filled in the bubble beside the cubic centimeters of the correct answer.

Question 8.

Which formula should Jason use to find the volume of the shoe box?

V = l × w

V = 2l + 2w

V = l × w × h

V = l + w + h

Answer:

Explanation:

We know 1 cubic centimeter is equal to the volume of a cube with edges that measure 1 cm each. Since the volume of a cube is calculated as length X width X height, the volume of the cube is 1 cm^{3}. Therefore formula should Jason use to find the volume of the shoe box is

V = l X w X h filled in the bubble beside the volume of the correct answer.

Question 9.

Solve the two-story problems below. Show your thinking using words, numbers, or labeled sketches.

a. The regular-sized box of cereal measures 6 cm by 30 cm by 20 cm. What is the volume of the cereal box?

Answer:

The volume of the cereal box is 3,600 cubic centimeters,

Explanation:

Given the regular-sized box of cereal measures 6 cm by 30 cm by 20 cm. So the volume of the cereal box is 6 cm X 30 cm X 20 cm = 3,600 cubic centimeters.

b. The large cereal box is twice as wide as the regular.

- Do you have enough information to find the volume?
- If not, what else do you need? If so, what is the volume of the large cereal box?

Answer:

Yes, Volume of the large cereal box is 7,200 cubic centimeters,

Explanation:

Given the large cereal box is twice as wide as the regular means its length and height are same but width is twice, Yes we can find the volume it is V = 6 cm X (2 X 30) cm X 20 cm =

7,200 cubic centimeters.

Question 10.

**CHALLENGE** Graph and label the points that represent cubes with side lengths of 1, 2, 3, and 4 centimeters and their volumes. The first one is done for you. What does the point (1, 1) represent?

Answer:

Explanation:

Asked to graph and label the points that represent cubes with side lengths of 1, 2, 3, and 4 centimeters and their volumes the first one is (1,1) it represents on x – axis 1 cm as its side length and on y – axis it represents volume as 1 cm X 1 cm X 1 cm = 1 cubic centimeters,

Now for 2 cms on x – axis, y axis will be 2 cms X 2 cms X 2 cms = 8 cubic centimeters,

For 3 cms on x – axis, y axis will be 3 cms X 3 cms X 3 cms = 27 cubic centimeters and for 4 cms on x – axis, y axis will be 4 cms X 4 cms X 4 cms = 64 cubic centimeters plotted and labelled on the graph above as (2, 8), (3, 27) and (4, 64) respectively.