Practicing the Bridges in Mathematics Grade 4 Home Connections Answer Key Unit 7 Module 1 will help students analyze their level of preparation.
Bridges in Mathematics Grade 4 Home Connections Answer Key Unit 7 Module 1
Bridges in Mathematics Grade 4 Home Connections Unit 7 Module 1 Session 2 Answer Key
Conversion Tables
Question 1.
Complete the table below and record at least two mathematical observations about the rule and relationship between the measurement conversions.
I noticed: _____________
Answer:
Convert from meters to centimeters and from centimeters to meters.
1 m = 100 cm
2 m = 2 × 100 = 200 cm
300 cm = 300/100 = 3 m
4m = 4 × 100 = 400 cm
500 cm = 500/100 = 5 m
600 cm = 600/100 = 6 m
7 m = 7 × 100 = 700 cm
Question 2.
A very large bag of frozen vegetables weighs 64 ounces (oz.). How many pounds (lb.) is this? Create a table to show your thinking.
Show your thinking another way.
Answer:
Convert from pounds to ounces.
1 lb = 16 oz
2 lb = 2 × 16 = 32 oz
3 lb = 3 × 16 = 48 oz
4 lb = 4 × 16 = 64 oz
5 lb = 5 × 16 = 80 oz
6 lb = 6 × 16 = 96 oz
7 lb = 7 × 16 = 112 oz
Question 3.
Solve the conversion problems below. Show your work for each one.
6 ft 7 in = _____________ in.
30 ft = _____________ yd. _____________ft.
1 yd 2 ft = _____________ft.
32 in = _____________ft. _____________in.
2 ft 4 in = _____________in.
8 ft 6 in = _____________inches
Answer:
6 ft 7 in =
Convert from foot to inches.
1 foot = 12 inches
6 feet = 6 × 12 = 72 inches
72 + 7 = 79 in.
30 ft = _____________ yd. _____________ft.
Convert from yard to ft.
1 yard = 3 feet
30 feet = 3 yards
1 yd 2 ft = _____________ft.
Convert from yard to ft.
1 yard = 3 feet
3 ft + 2 ft = 5 ft
1 yd 2 ft = 5 ft..
32 in = _____________ft. _____________in.
Convert from foot to inches.
1 foot = 12 inches
32/12 = 2 feet 6 in.
32 in. = 2 feet 6 in.
2 ft 4 in
Convert from foot to inches.
1 foot = 12 inches
2 feet = 2 × 12 = 24 in.
24 + 4 = 28 in.
2 ft 4 in = 28 in.
8 ft 6 in
Convert from foot to inches.
1 foot = 12 inches
8 feet = 8 × 12 = 96 in.
96 + 6 = 102 in.
8 ft 6 in = 102 in.
Question 4.
Draw a line from each statement on the left to the multiplication equation on the right that matches. Then solve the multiplication equation.
Answer:
Question 5.
CHALLENGE There are 5,280 feet in a mile. Write your own comparison statement to match this multiplication equation: 5,280 × 24. Then solve the equation.
Answer:
Given,
There are 5,280 feet in a mile.
Write your own comparison statement to match this multiplication equation: 5,280 × 24.
5,280
×24
126,720
Bridges in Mathematics Grade 4 Home Connections Unit 7 Module 1 Session 4 Answer Key
Working with a Tile Sequence & More
Question 1.
Here are the first 4 arrangements in a tile sequence.
a. Sketch the 5th and 6th arrangements in this sequence.
Answer:
b. Sketch the 10th arrangement in this sequence. Use a quick sketch if you like so you don’t have to draw every tile.
Answer:
c. How many tiles would it take to build the 16th arrangement in this pattern? How do you know?
Answer:
d. CHALLENGE A certain arrangement in this sequence takes 311 tiles to build. Which arrangement is it? Show your work.
Answer:
A certain arrangement in this sequence takes 311 tiles to build.
310 ÷ 2 = 155
So, the arrangement is 155.
Question 2.
Solve each problem. Show your work.
1,468 + 385 = _______________
72 × 19 = _______________
601 – 489 = ______________
Answer:
1,468 + 385 = 1853
By adding 1468 and 385 we get 1853.
By multiplying 72 by 19 we get 1368.
By subtracting 489 from 601 we get 112.
Question 3.
The table below is about the cost of apples. Fill in the missing numbers in the table.
Answer:
The cost of 1 pound of apples is $1.75
The cost of 2 pounds of apples is 2 × 1.75 = $3.50
5.25 ÷ 1.75 = 3
So, the cost of 3 pounds of apples is $5.25
The cost of 5 pounds of apples is 5 × 1.75 = $8.75
The cost of 5 pounds of apples is 10 × 1.75 = $17.5
35 ÷ 1.75 = 20
So, the cost of 20 pounds of apples is $35.00
Question 4.
CHALLENGE Use numbers, tables, sketches, or words to help solve the problems below.
a. How many pounds of apples can you get for $70?
Answer:
The cost of 1 pound of apples is $1.75
70 ÷ 1.75 = 40
So, the cost of 40 pounds of apples is $70
b. How much do you have to pay for 15 pounds of apples?
Answer:
The cost of 1 pound of apples is $1.75
The cost of 15 pound of apples is 15 × $1.75 = $26.25
Bridges in Mathematics Grade 4 Home Connections Unit 7 Module 1 Session 6 Answer Key
Toothpick Problems
Question 1.
Complete the table below for this toothpick sequence. Use toothpicks, pieces of spaghetti, or sketches to make each arrangement if needed.
a. Picture of Arrangement
Arrangement Number: 1
Number of Toothpicks: ______________
Answer:
Number of toothpicks in arrangement number 1 is 5.
b. Picture of Arrangement
Arrangement Number: 2
Number of Toothpicks: ______________
Answer:
Number of toothpicks in arrangement number 2 is 9.
c. Picture of Arrangement
Arrangement Number: 3
Number of Toothpicks: ______________
Answer:
Number of toothpicks in arrangement number 3 is 13.
d. Picture of Arrangement: _______________
Arrangement Number: 4
Number of Toothpicks: ______________
Answer:
Number of toothpicks in arrangement number 1 is 5.
The series is 4.
13 + 4 = 17
Number of toothpicks in arrangement number 4 is 17.
e. Picture of Arrangement: _______________
Arrangement Number: 5
Number of Toothpicks: ______________
Answer:
Number of toothpicks in arrangement number 1 is 5.
The series is 4.
17 + 4 = 21
Number of toothpicks in arrangement number 4 is 21.
f. Picture of Arrangement: _______________
Arrangement Number: 10*
Number of Toothpicks: ______________
Answer:
Number of toothpicks in arrangement number 1 is 5.
The series is 4.
Arrangement number 5: 21 + 4 = 25
Arrangement number 6: 25 + 4 = 29
Arrangement number 7: 29 + 4 = 33
Arrangement number 8: 33 + 4 = 37
Arrangement number 9: 37 + 4 = 41
Arrangement number 10: 41 + 4 = 45
Number of toothpicks in arrangement number 10 is 45.
g. Picture of Arrangement: _______________
Arrangement Number: 25*
Number of Toothpicks: ______________
Answer:
Number of toothpicks in arrangement number 1 is 5.
The series is 4.
Arrangement number 5: 21 + 4 = 25
Arrangement number 6: 25 + 4 = 29
Arrangement number 7: 29 + 4 = 33
Arrangement number 8: 33 + 4 = 37
Arrangement number 9: 37 + 4 = 41
Arrangement number 10: 41 + 4 = 45
Arrangement number 11: 45 + 4 = 49
Arrangement number 12: 49 + 4 = 53
Arrangement number 13: 53 + 4 = 57
Arrangement number 14: 57 + 4 = 61
Arrangement number 15: 61 + 4 = 65
Arrangement number 16: 65 + 4 = 69
Arrangement number 17: 69 + 4 = 73
Arrangement number 18: 73 + 4 = 77
Arrangement number 19: 77 + 4 = 81
Arrangement number 20: 81+ 4 = 85
Arrangement number 21: 85+ 4 = 89
Arrangement number 22: 89+ 4 = 93
Arrangement number 25: 93 + 4 + 4 + 4 = 105
h. Picture of Arrangement: _______________
Arrangement Number: 100*
Number of Toothpicks: ______________
Answer:
Arrangement Number: 100*
Arrangement number 100: 5 + (4 × 99) = 401.
i. CHALLENGE
Arrangement Number: ______________
Number of Toothpicks: 245
Answer:
Arrangement number 245: 5 + (4 × 244) = 981
You can describe this arrangement in words or make a general sketch.
A Toothpick Puzzle
Create the figure below with toothpicks. Remove 6 toothpicks to leave ten. Sketch the toothpicks you had left below. If you don’t have toothpicks, you can use sketches below or pieces of spaghetti to solve the puzzle.
Question 2.
Sketch the toothpicks you had left here:
Use the space below to make sketches if needed.
Answer: