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Bridges in Mathematics Grade 5 Student Book Answer Key Unit 8 Module 4
Bridges in Mathematics Grade 5 Student Book Unit 8 Module 4 Session 1 Answer Key
Testing Our Final Houses
Question 1.
With your team, set up your house to test its efficiency. Then record and analyze data on this page individually.
- Place the thermometer in the slot, and line it up with the 0° F line.
- Read the Start (in sun) temperature and record it and the start time in the table below. Remember to label the time a.m. or p.m.
- Figure out the time it will be 20 minutes from now, and record the End (in sun) time in the table. Remember to come back and check the temperature at this time.
- After 20 minutes in the sun, take the temperature reading of your house and record it in the table.
Answer:
Explanation:
With my team, I have set up my house to test its efficiency. Then recorded and analyzed data on this page individually. Placed the thermometer in the slot and lined it up with the 0° F line. Read the Start (in sun) temperature and recorded it and the start time in the table below. Remembered to label the time a.m. or p.m. Figured out the time it will be 20 minutes from now and recorded the End (in sun) time in the table. Remembered to come back and check the temperature at this time. After 20 minutes in the sun, took the temperature reading of my house and record it in the table as shown above.
Question 2.
Carefully take your house inside the classroom.
- Figure out the times you need to check the temperatures again and record these times in the table. Remember to check the temperatures at these times.
- After 20 minutes inside, take the temperature reading and record it in the table.
Answer:
Explanation:
Figured out the times I need to check the temperatures again and recorded these times in the table. Remembered to check the temperatures at these times. After 20 minutes inside, take the temperature reading and recorded it in the table as shown above.
Question 3.
What was the temperature change of your house in the sun?
Answer:
70° F,
Explanation:
The temperature change of your house in the sun is 70° F.
Question 4.
What was the temperature change from the time you brought your house inside until it was inside for 20 minutes?
Answer:
73° F,
Explanation:
The temperature change from the time I brought my house inside until it was inside for 20 minutes is 73° F.
Question 5.
What was the total temperature change of your house at that time?
Answer:
73° F,
Explanation:
The total temperature change of my house at that time is 73° F.
Question 6.
Plot the data your team collected on a graph. Give the graph a title and label each axis.
Answer:
Explanation:
Plotted the data of my team collected on the graph above. The graph has the title of Testing Temperature Of Our Final Houses and labeled each axis as x-axis total time in minutes and y axis as temperature respectively.
Question 7.
What do you notice about the data? Record at least three observations.
Answer:
1) Temperature is changing as time is changing,
2) Temperature is not constant all the time,
3) Inside the house also temperature has changed,
Explanation:
I have noticed changes is data as 1) Temperature has changed as time increased, 2) Temperature is not constant all the time, 3) Inside the house also temperature has changed.
Question 8.
After 40 minutes inside, take one last temperature reading and add the data to your graph. Then answer the following questions:
a. Did your house continue to lose its heat at the same rate? Explain how you know and why you think this happened.
Answer:
No,
Explanation:
No, the house did not continue to lose its heat at the same rate as the temperature at 7:20 am is 73° F, and at 7:40 am is also 73° F so it’s not a constant rate of change. There is not much change in temperature within 20 minutes of time.
b. What temperature do you think your house will be after 2 hours? Explain your reasoning.
Answer:
77° F,
Explanation:
The temperature I think my house will be after 2 hours is 77° F as for 1 hour it was 74° F so there is little similar growth in temperature so after 2 hours the temperature would be approximately 77° F.
c. Are you happy with your results? What could you change to keep your house warmer for a longer period of time?
Answer:
Yes, Use curtains, Keep interiors doors open, Seal windows, Upgrade heating controls,
Explanation:
Yes, I am happy with my results, To keep my house warmer for a longer period of time I use curtains, keep interiors doors open, seal windows and upgrade heating controls as required.
Floor Plan
Question 1.
One team in Mr. Ivy’s class made a model house 9″ long by 12″ wide by 4″ tall. Draw a bird’s-eye view of their model to scale. Label the scale you choose.
Scale _______________
Answer:
Explanation:
Drawn a bird’s-eye view of their model to scale and Labeled the scale I have chosen as box as 3 inches X 3 inches and made Mr. Ivy’s class a model house with 9″ long by 12″ wide by 4″ tall as shown above.
Question 2.
Now draw and label a floor plan for the model, using your scaled drawing above. Remember to scale the dimensions of each room as you add it.
- The bedroom is \(\frac{1}{4}\) the area of the whole model.
- The bathroom is \(\frac{1}{8}\) the area of the whole model.
- The kitchen is 4\(\frac{1}{2}\) inches by 6 inches.
- The living room is the space left over.
Answer:
Explanation:
Drawn and labeled a floor plan for the model using my scaled drawing above.
The bedroom is \(\frac{1}{4}\) the area of the whole model. The bathroom is \(\frac{1}{8}\) the area of the whole model. The kitchen is 4\(\frac{1}{2}\) inches by 6 inches and the living room is the space left over.
Question 3.
If the dimensions of the entire floor of the model house are 9″ × 12″, what is the area of each room? Use numbers, sketches, or words to show your work.
Answer:
Explanation:
Used the dimensions of the entire floor of the model house as 9″ X 12″ and found the area of each room used numbers to show my work as shown above Total area is 9″ X 12″ = 108 square inches as the bedroom is \(\frac{1}{4}\) the area of the whole model it is 1/4 X 108 square inches = 27 square inches, bathroom is \(\frac{1}{8}\) the area of the whole model so t is 1/8 X X 108 square inches = 13.5 square inches kitchen is 4\(\frac{1}{2}\) inches by 6 inches = 9/2 inches X 6 inches = 27 square inches and rest is living room so it is 108 square inches – ( 27 square inches + 13.5 square inches + 27 square inches) = 40.5 square inches.
Bridges in Mathematics Grade 5 Student Book Unit 8 Module 4 Session 2 Answer Key
Room Volume
Question 1.
One team in Mr. Ivy’s class made a model house with dimensions 12″ wide by 12″ long by 8″ tall. They want to make a two-story house, but they aren’t sure they have enough room. What is the height of each floor in the real house if they use a scale factor of 30 inches to 1 inch? Do they have enough room to make two stories? Why or why not?
Answer:
Yes, Height of each floor is 12″ wide by 12″ long by 5″ tall and 12″ wide by 12″ long by 3″,
Explanation:
Given one team in Mr. Ivy’s class made a model house with dimensions 12″ wide by 12″ long by 8″ tall. They want to make a two-story house, but they aren’t sure they have enough room. The height of each floor in the real house can be 12″ wide by 12″ long by 5″ tall and 12″ wide by 12″ long by 3″ tall yes they have enough room to make two stories it can be easily built.
Question 2.
The team decides to make a kitchen, living room, and bathroom on the main floor. They made a drawing like the one here. What is the volume of each room in their model? Show your work.
Answer:
Living room : 10.5″ X 7″ = 73.5 square inches,
Kitchen : 9.5″ X 5″ = 47.5 square inches,
Bathroom : 2.5″ X 5″ = 12.5 square inches,
Stairs : 1.5″ X 6″ = 9 square inches,
Explanation:
Given the team decides to make a kitchen, living room, and bathroom on the main floor. They made a drawing like the one here. So the volume of each room in their model is Living room : 10.5″ X 7″ = 73.5 square inches,
Kitchen : 9.5″ X 5″ = 47.5 square inches,
Bathroom : 2.5″ X 5″ = 12.5 square inches,
Stairs : 1.5″ X 6″ = 9 square inches respectively.
Question 3.
CHALLENGE What is the volume of each room in the actual house if the scale factor is 30″ to 1″? Show your work.
Answer:
If the volume of each room in the actual house if the scale factor is 30″ to 1″
Bridges in Mathematics Grade 5 Student Book Unit 8 Module 4 Session 3 Answer Key
More Solar Features
Question 1.
A team in Mr. Ivy’s class wanted to add more solar energy features to their house. The house is 9” long by 12″ wide by 5″ tall. One large window takes up \(\frac{2}{3}\) of the large wall.
a. What is the area of their large window? Show your work.
Answer:
360 cubic inches,
Explanation:
Given a team in Mr. Ivy’s class wanted to add more solar energy features to their house. The house is 9” long by 12″ wide by 5″ tall. One large window takes up \(\frac{2}{3}\) of the large wall the area of their large window is \(\frac{2}{3}\) X 9” X 12″ X 5″ = 360 cubic inches.
b. List two pairs of possible dimensions for the large window. Tell which pair you would choose, and explain why.
Answer:
1. 9” X 10″ X 4″,
2. 6” X 12″ X 5″, both,
Explanation:
Two pairs of possible dimensions for the large window 1. 9” X 10″ X 4″ = 360 cubic inches, 2. 6” X 12″ X 5″ = 360 cubic inches, I would choose both dimensions as both have same area in common.
c. The team wants to add an awning to provide shade in the summer. The material sells for $1.50 for every 2″ by 2\(\frac{1}{2}\)” piece. How much do they need to spend on an awning to cover their window? Show your work using numbers, words, or labeled sketches. Use your math journal if you need more room.
Answer:
$7.50,
Explanation:
Given the team wants to add an awning to provide shade in the summer. The material sells for $1.50 for every 2″ by 2\(\frac{1}{2}\)” piece. They need to spend on an awning to cover their window is $1.50 X 2″ X 2\(\frac{1}{2}\)” = $7.50.
Question 2.
The team wants to cover \(\frac{1}{2}\) of the area of their house’s roof with photovoltaic (PV) cells. Each PV cell has dimensions of 2 × 3 inches.
a. How many PV cells will it take to cover \(\frac{1}{2}\) of the area of the roof on this house? Show your work.
Answer:
3,
Explanation:
Given the team wants to cover \(\frac{1}{2}\) of the area of their house’s roof with photovoltaic (PV) cells. Each PV cell has dimensions of 2 X 3 inches. Number of PV cells will it take to cover \(\frac{1}{2}\) of the area of the roof on this house is \(\frac{1}{2}\) X 6 inches = 3.
b. If PV cells can provide 0.18 watts of electricity per square inch, how many total watts can the cells on this house produce? Show your work.
Answer:
4.8 watts,
Explanation:
If PV cells can provide 0.18 watts of electricity per square inch the total watts can the cells on this house produce is 0.8 X 2 X 3 inches = 4.8 watts.