The solutions to Bridges in Mathematics Grade 3 Home Connections Answer Key Unit 6 Module 3 can help students to clear their doubts quickly.
Bridges in Mathematics Grade 3 Home Connections Answer Key Unit 6 Module 3
Bridges in Mathematics Grade 3 Home Connections Unit 6 Module 3 Session 1 Answer Key
Perimeter Problems
Question 1.
For the quadrilaterals below, measure in centimeters and label as many sides as you need to find the perimeter. Then write an equation to show the perimeter of the quadrilateral, and fill in the answer at the bottom of the box.
ex:
Perimeter = 16 cm
a.
Perimeter = ______________
Answer:
s = cm
P = 4s
P = 4 + 4 + 4 + 4 = 16
Perimeter = 16 cm
b.
Perimeter = ______________
Answer:
P = 3 + 3 + 3 + 5 = 14 cm
Perimeter = 14 cm
c.
Perimeter = ______________
Answer:
P = 2 + 5 + 2 + 5 = 14
Perimeter = 14 cm
Question 2.
Sarah says you only need to measure one side of a square to figure out its perimeter. Do you agree with Sarah? Why or why not? Use labeled sketches, numbers, or words to explain your answer.
Answer:
If you know for a fact it is a square, you can measure only one side, because all sides of a square are the same length.
Question 3.
Jacob and his dad are going to make a rabbit pen in the backyard. They have 16 feet of fencing. Help Jacob draw some plans. Sketch and label at least 4 different rectangles with a perimeter of 16 centimeters on the centimeter grid paper below. Write an equation under each sketch to show that the perimeter is actually 16 centimeters. Put a star beside the sketch you think would be best for a rabbit pen.
Answer:
Bridges in Mathematics Grade 3 Home Connections Unit 6 Module 3 Session 3 Answer Key
Sandbox & Garden Problems
Question 1.
a. Mrs. Smith made a sandbox for her kindergarten students. It is 60 inches wide and 125 inches long. Make a labeled sketch of the sandbox below.
Answer:
b. What is the perimeter of the sandbox? Use your sketch to help solve the problem.
The perimeter of the sandbox is ______________ inches.
Answer:
P = 2(l + b)
= 2(125 + 60)
= 2(185)
= 370 inches
The perimeter of the sandbox is 370 inches.
Question 2.
Mai and her sister Keiko were planting a garden. They made two beds to plant flowers. One was 4 feet by 3 feet. The other was 5 feet by 5 feet. They want to outline the beds with bricks that are each 1 foot long. How many bricks will they need to outline both beds? Show all of your work.
They will need _______________ bricks to outline both beds.
Answer:
Given,
Mai and her sister Keiko were planting a garden. They made two beds to plant flowers. One was 4 feet by 3 feet.
P = 2(4 + 3)
Perimeter = 2(7) = 14 feet
The other was 5 feet by 5 feet.
P = 4 × 5 = 20 feet
20 + 14 = 34 feet
They will need 34 feet bricks to outline both beds.
Question 3.
DJ Jumpy Frog, who lives in the sisters’ garden, says you can also use the number line to show and solve division problems. He says to solve 14 ÷ 2, you start at 14. Then you take equal hops of 2 all the way back to 0. If you count the number of hops, you get the answer.
a. How many hops did it take DJ to get back to 0?
Answer: 14 ÷ 2 = 7
b. Did he get the right answer to 14 ÷ 2?
Answer: Yes
c. Why did he take hops of 2 instead of 3?
Answer: He is dividing by 2 not 3.
Question 4.
Here is another number line picture from DJ.
Write a division equation to go with DJ’s picture.
____________ ÷ ______________ = _______________
Answer: 18 ÷ 3 = 6
Question 5.
Use the number lines below to show and solve division problems a and b.
a. 12 ÷ 3 = ________________
Answer:
12 ÷ 3 = 4
b. 24 ÷ 4 = ________________
Answer:
24 ÷ 4 = 6
Bridges in Mathematics Grade 3 Home Connections Unit 6 Module 3 Session 5 Answer Key
Area & Perimeter Puzzles
Show your work for each of the problems below, and label your answers with the correct units.
Question 1.
Find the perimeter of this quadrilateral.
Perimeter = _______________
Answer:
P = 16 + 17 + 18 + 19 = 70 feet
Question 2.
The perimeter of this rectangle is 24 inches. Use that information to find the length of the side marked s and the area of the rectangle.
Side s = _______________
Area = ________________
Answer:
Given,
The perimeter of this rectangle is 24 inches.
P = 7 + 7 + 5 + s
24 = 19 + s
s = 24 – 19
s = 5 in.
Area = 7 × 5
A = 35 sq. in
Question 3.
The sandbox at the park is perfectly square. Use the information in the picture below to find the perimeter and the area of the sandbox.
Perimeter = ________________
Area = ________________
Answer:
Given,
The sandbox at the park is perfectly square.
A = s²
A = 8 × 8
A = 64 sq. ft
Perimeter = 4s
P = 4 × 8
P = 32 ft
Question 4.
Jake and his mom run laps around the soccer field in their neighborhood. The field is 100 yards by 60 yards, and they run 4 laps around the field each time. When they went to visit Jake’s uncle, they did laps around the kids’ soccer field in his neighborhood. The field was 30 yards by 55 yards, and they ran 8 laps around it. Did they run more at Jake’s uncle’s house or in their own neighborhood? Exactly how much more? Show all your work.
Answer:
Given,
Jake and his mom run laps around the soccer field in their neighborhood. The field is 100 yards by 60 yards, and they run 4 laps around the field each time.
D1 = 4 × 4 × 100 = 1600 yards
The field was 30 yards by 55 yards, and they ran 8 laps around it.
L = (2 × 30 + 2 × 55)
D2 = 8 × 170 = 1360 yards
D1 – D2 = 1600 – 1360 = 240 yards
Question 5.
CHALLENGE A rectangle has a perimeter of 36 feet. It is twice as long as it is wide. What are the dimensions of the rectangle? Show all your work.
Answer:
Given,
A rectangle has a perimeter of 36 feet. It is twice as long as it is wide.
P = 2(l + w)
36 = 2(l + w)
l + w = 18
Its 6 feet wide and 12 feet long.