Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key

Practicing the Bridges in Mathematics Grade 4 Home Connections Answer Key Unit 8 Module 1 will help students analyze their level of preparation.

Bridges in Mathematics Grade 4 Home Connections Answer Key Unit 8 Module 1

Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Session 2 Answer Key

Another Grassy Field

Question 1.
The 32 students in Ms. Li’s class are planting grass for their science project.
a. What are all the different ways the students can arrange their 32 milk carton containers of grass in a rectangular field? Circle the dimensions that you think would look most like a field for a playground.
Answer:
Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key-1

Explanation:
Given there are 32 students in Ms. Li’s class are planting grass for their science project.
Shown all the different ways the students can arrange their 32 milk carton containers of grass in a rectangular field and Circled the dimensions that I think would look most like a field for a playground as shown above.

b. Each container’s base has a length and width of 3\(\frac{3}{4}\) inches. What is the length and width of the entire field? Sketch the rectangular field and record the dimensions. Show all your work.
Answer:
Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key-2

Explanation:
Given each container’s base has a length and width of 3\(\frac{3}{4}\) inches. The length and width of the entire field is 32 X 3\(\frac{3}{4}\) inches X 3\(\frac{3}{4}\) inches, Sketched the rectangular field and record the dimensions as shown above.

c. What is the area of the field formed by the cartons of grass? Show all your work.
Answer:
450 square inches,

Explanation:
If each container’s base has a length and width of 3\(\frac{3}{4}\) inches the area of the field formed by the cartons of grass is 32 X 3\(\frac{3}{4}\) inches X 3\(\frac{3}{4}\) inches = 32 X \(\frac{15}{4}\) inches X \(\frac{15}{4}\) inches = 450 square inches.

Question 2.
Four new students joined Ms. Li’s class.
a. What are all the possible dimensions of the field now?
Answer:
2 X 18 = 36, 3 X 12 = 36, 9 X 4 = 36, 6 X 6 = 36,

Explanation:
Initially it was 32 students in Ms. Li’s class if four new students joined the possible dimensions are 2 X 18 = 36, 3 X 12 = 36, 9 X 4 = 36, 6 X 6 = 36.

b. Write the dimensions you would choose for a field. Then, find the length and width of that field in inches.
Answer:
2 X 18 = 36, 3 X 12 = 36, 4 X 9 = 36, 6 X 6 = 36,
If length = 2 inches then width = 18 inches,
If length = 3 inches then width = 12 inches,
If length = 4 inches then width = 9 inches,
If length = 6 inches then width = 6 inches,

Explanation:
The dimensions I would choose for a field are 2 X 18 = 36, 3 X 12 = 36, 9 X 4 = 36, 6 X 6 = 36, The length and width of that field in inches are If length = 2 inches then width = 18 inches,
If length = 3 inches then width = 12 inches,
If length = 4 inches then width = 9 inches,
If length = 6 inches then width = 6 inches respectively.

Question 3.
CHALLENGE What is the area of Ms. Li’s class’ field after the four new students’ cartons of grass have been added?
Answer:
The area is 506.25 square inches,

Explanation:
If each container’s base has a length and width of 3\(\frac{3}{4}\) inches, and Now number of students are 32 + 4 = 36 so the area of the field formed by the cartons of grass is 36 X 3\(\frac{3}{4}\) inches X 3\(\frac{3}{4}\) inches = 36 X \(\frac{15}{4}\) inches X \(\frac{15}{4}\) inches = 506.25 square inches.

Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Session 4 Answer Key

Ten-Foot Seesaw

Mr. Sanchez’s class conducted an experiment with a model seesaw using a pencil, ruler, and tiles. (The tiles represent pounds of weight, so if the seesaw lifts 60 tiles, the real seesaw would lift 60 pounds.) Their results are in the table below.
Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key 1

Question 1.
The class has a real seesaw on their playground that is 10 feet long. Their model seesaw is 12 inches long.
a. What is the length of their real seesaw in inches? Show your work using words, numbers, or labeled sketches.
Answer:
120 inches long,

Explanation:
Given the class has a real seesaw on their playground that is 10 feet long. So the length of their real seesaw in inches is as 1 feet = 12 inches it is 10 X 12 inches = 120 inches long.

b. What is the difference in length between the real and model seesaws?
Answer:
110 inches,

Explanation:
Given the class has a real seesaw on their playground that is 10 feet long. Their model seesaw is 12 inches long. As 10 feet = 120 inches so the difference in length between the real and model seesaws is 120 inches – 10 inches = 110 inches.

Question 2.
Fill in the diagram to help Mr. Sanchez’s class figure out where to place the fulcrum on their real 10-foot seesaw.
Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key 2
Answer:
Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key-3

Explanation:
Filled in the diagram to help Mr. Sanchez’s class figure out where to place the fulcrum on their real 10-foot seesaw above.

Question 3.
Where should the class place the fulcrum on the real seesaw for a 120-pound 10th grader to balance with a 60-pound 4th grader?
Answer:
8 inches,

Explanation:
Asked where should the class place the fulcrum on the real seesaw for a 120-pound 10th grader to balance with a 60-pound 4th grader by seeing the results from the table it is 8 inches.

a. How many feet is that from the end of the seesaw? Draw a picture to show your thinking.
Answer:
Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key-4
4 inches or 0.333 foot,

Explanation:
Feet is that from the end of the seesaw 12 inches – 8 inches = 4 inches or 0.333 foot, Drawn a picture to show it as above.

Question 4.
Where should the class place the fulcrum on the real seesaw for a 60-pound 4th grader to balance with a 40-pound 1st grader?
Answer:
5 inches,

Explanation:
Asked where should the class place the fulcrum on the real seesaw for a 60-pound 4th grader to balance with a 40-pound 1st grader by seeing the results from the table it is 5 inches.

a. How many feet is that from the end of the seesaw? Draw a picture to show your thinking.
Answer:
Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key-5

Explanation:
Feet is that from the end of the seesaw 12 inches – 5 inches = 7 inches or 0.58333 foot, Drawn a picture to show it as above.

Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Session 6 Answer Key

Circle Explorations

Circle A
Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key 3
Observations:

Directions for Circle A

  1. Use a ruler to draw line segments to connect each numbered point on the circumference of circle A. Draw a line from point 1 to point 2, from point 2 to point 3, and so on.
  2. The polygon you have just drawn is called a decagon because it has 10 sides.
  3. Each numbered point on this circle has a partner right across the circle from it. Draw line segments to connect each point to the points on either side of its partner.
    For example: Point 1’s partner across the circle is point 6. You will draw a line segment connecting point 1 to point 5. Then draw another line segment connecting point 1 to point 7.
  4. Do this for all 10 points on the circumference of circle A.
  5. Write at least three mathematical observations about the figure you’ve just drawn.

Answer:
Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key-6

Explanation:
1. Used a ruler to draw line segments to connect each numbered point on the circumference of circle A. Drawn a line from point 1 to point 2 to point 3 and so on.
2. The polygon I have just drawn is call decagon because it has 10 sides.
3. Each numbered point on this circle has a partner right across the circle from it. Drawn line segments to connect each points on either side off its partner. As point 1’s partner across the circle is point 6 drawn a line segment connecting point 1 to point 5. Then drawn another line segment connecting point 1 to point 7.
4. Done this for all points on the circumference of circle A.
Three mathematical observations about the figure is 1. It has 10 sides called as decagon, 2. It has 10 edges, 10 vertices, 3. It has 10 triangles drawn inside.

Circle B
Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key 4
Observations:

Directions for Circle B

  1. Now use a ruler to draw line segments to connect only the even-numbered points on the circumference of circle B. Do not connect the odd-numbered points. Draw a line from point 2 to point 4, from point 4 to point 6, from point 6 to point 8, and so on.
  2. How many sides are in the polygon you have just drawn inside circle B?
    What is the name of a polygon with this many sides?
  3. Each numbered point on circle B has a partner right across the circle from it.
  4. Draw line segments to connect each even-numbered point to the points on either side of its partner. For example Point 2’s partner is point 7. You will draw a line segment connecting point 2 to point 8. Then draw another line segment connecting point 2 to point 6.
  5. Do this for all five even-numbered points on the circumference of circle B.
  6. Write at least three mathematical observations about the figure you’ve just drawn.
  7. CHALLENGE Design a color scheme and color both figures with colored pencils or felt pens.

Answer:
Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key-7
Bridges in Mathematics Grade 4 Home Connections Unit 8 Module 1 Answer Key-8

Explanation:
Used a ruler to draw line segments to connect only the even-numbered points on the circumference of circle B. Do not connect the odd-numbered points. Drawn a line from point 2 to point 4, from point 4 to point 6, from point 6 to point 8, and so on.
Number of sides are in the polygon I have just drawn inside circle B are 5 sides, so the name of a polygon with this many sides is called a pentagon.
Each numbered point on circle B has a partner across the circle from it. Drawn line segments to connect each- numbered point to the points on either side of its partner. For example Point 2’s partner is point 7 so we will draw a line segment connecting point 2 to point 8. Then drawn another line segment connecting point 2 to point 6. Done this for all five even-numbered points on the circumference of circle B.
At least three mathematical observations about the figure I have jut drawn are 1. The shape is pentagon, which has 5 sides, 2. It has 5 straight sides, 3. It has 5 angles, Circle B has 5 triangles inside.
Designed a color scheme for circle A drawn lines using green color, Drawn yellow line segments to connect each point to the points on either side of its partner on circle A, For circle B drawn green colored lines point 2 to point 4, from point 4 to point 6, from point 6 to point 8, and so on and drawn red line segments to connect each even-numbered point to the points on either side of its partner above.

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