Bridges in Mathematics Grade 3 Home Connections Unit 8 Module 4 Answer Key

The solutions to Bridges in Mathematics Grade 3 Home Connections Answer Key Unit 8 Module 4 can help students to clear their doubts quickly.

Bridges in Mathematics Grade 3 Home Connections Answer Key Unit 8 Module 4

Bridges in Mathematics Grade 3 Home Connections Unit 8 Module 4 Session 3 Answer Key

Bridge Patterns

Question 1.
Jameson built tiny beam bridges out of toothpicks. He drew sketches of his beam bridges like these:
Bridges in Mathematics Grade 3 Home Connections Unit 8 Module 4 Answer Key 1
a. How many toothpicks will it take to build a beam bridge with 12 spans?
Answer:
2n + 1
n = 12
2(12) + 1 = 25
It takes 25 toothpicks to build a beam bridge with 12 spans.

b. Explain your answer using labeled sketches, numbers, and words.
Answer: Double the number of spans and add 1 to determine the number of toothpicks.

c. Fill in the table to show how many toothpicks are needed for each bridge.
Bridges in Mathematics Grade 3 Home Connections Unit 8 Module 4 Answer Key 2
Answer:
Bridges-in-Mathematics-Grade-3-Home-Connections-Unit-8-Module-4-Answer-Key-2

d. CHALLENGE How many toothpicks will it take to build a beam bridge with 20 spans? Use words, pictures, or numbers to show your work and explain your answer.
Answer:
2n + 1
n = 20
2(20) + 1 = 41 toothpicks

Question 2.
Jameson built some tiny truss bridges using toothpicks, too. He made sketches of his bridges like those below.
Bridges in Mathematics Grade 3 Home Connections Unit 8 Module 4 Answer Key 3
a. How many toothpicks will it take to build a truss bridge with 15 triangles?
Answer:
2n + 1
n = 15
2(15) + 1 = 31 toothpicks

b. Explain your answer using labeled sketches, numbers, and words.
Answer: Double the number of spans and add 1 to determine the number of toothpicks.

c. Fill in the table to show how many toothpicks are needed for each bridge.
Bridges in Mathematics Grade 3 Home Connections Unit 8 Module 4 Answer Key 4
Answer:
Bridges-in-Mathematics-Grade-3-Home-Connections-Unit-8-Module-4-Answer-Key-4

d. CHALLENGE How many toothpicks will it take to build a truss bridge with 36 triangles? Use words, pictures, or numbers to show your work and explain your answer.
Answer:
2n + 1
n = 36
2(36) + 1 = 73 toothpicks

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