# Bridges in Mathematics Grade 3 Home Connections Unit 1 Module 3 Answer Key

The solutions to Bridges in Mathematics Grade 3 Home Connections Answer Key Unit 1 Module 3 can help students to clear their doubts quickly.

## Bridges in Mathematics Grade 3 Home Connections Answer Key Unit 1 Module 3

Bridges in Mathematics Grade 3 Home Connections Unit 1 Module 3 Session 1 Answer Key

Sums & Differences

Question 1.
The sum of three numbers is 12. What could those three numbers be? Think of three different solutions.
12 = ___ + ___ + ____ 12 = ___ + ___ + ___ 12 = ___ + ___ + ____
The sum of three numbers is 12.
12 = 4 + 4 + 4
12 = 6 + 2 + 4
12 = 4 + 5 + 3

Question 2.
The difference between two numbers is 12. What could those numbers be?
12 = ___ – ____ 12 = ____ – ____ 12 = ___ – ___
The difference between two numbers is 12.
24 – 12 = 12
16 – 4 = 12
20 – 8 = 12

Question 3.
Look at this picture and think about the many different equations you could write to represent it. a. Write an addition equation to represent the picture above.
10 – 2 = 8

b. Write a subtraction equation to represent the picture above.
10 – 1 = 9

Question 4.
a. Add each pair of numbers.  b. What pattern do you see in the combinations above?

1. You always add 10 to another number.
2. There are 8 in ones place.
3. Adding 10 does not change the number in ones place.
4. Adding 10 makes the number in the tens place increase by 1.

Use numbers, pictures, or words to show your work when you solve these problems. Use additional paper if you need more room.

Question 5.
Jack is 36 inches tall. Mary is 6 inches taller than Jack. Cameron is 4 inches taller than Mary.

a. How many inches tall is Cameron?
Given,
Jack is 36 inches tall. Mary is 6 inches taller than Jack.
Cameron is 4 inches taller than Mary.
36 + 4 + 6 = 46 inches

b. How many inches tall is Mary?
46 – 4 = 42 inches
Mary is 42 inches tall.

Question 6.
CHALLENGE You and your friend are talking about your solutions to problem 2. Your friend said that there are exactly 12 different pairs of numbers with a difference of 12 and that he had found them all. How would you respond to him?
Given,
Your friend said that there are exactly 12 different pairs of numbers with a difference of 12 and that he had found them all.
There are infinitely more pairs of numbers with a difference of
12(n + 12) – n = 12
He is not correct.

Question 7.
CHALLENGE You and your friend were thinking about pairs of whole numbers that have a sum of 12. How many pairs of whole numbers can you find that have a sum of 12? (Note: A whole number is equal to or greater than 0 and does not include a fraction. 2 is a whole number. 2 1/2 is not a whole number.)
There are 7 pairs of whole numbers with a sum of 12.
0 + 12 = 12
1 + 11 = 12
2 + 10 = 12
3 + 9 = 12
4 + 8 = 12
5 + 7 = 12
6 + 6 = 12

Question 8.
CHALLENGE How many pairs of whole numbers have a sum of 40?
0 + 40 = 40
1 + 39 = 40
2 + 38 = 40
3 + 37 = 40
4 + 36 = 40
5 + 35 = 40
6 + 34 = 40
7 + 33 = 40
8 + 32 = 40
9 + 31 = 40
10 + 30 = 40
11 + 29 = 40
12 + 28 = 40
13 + 27 = 40
14 + 26 = 40
15 + 25 = 40
16 + 24 = 40
17 + 23 = 40
18 + 22 = 40
19 + 21 = 40
20 + 20 = 40
There are 21 pairs of whole numbers have a sum of 40.

Question 9.
CHALLENGE How many pairs of whole numbers have a sum of 110?
0 + 110 = 110
1 + 109 = 110
2 + 108 = 110
3 + 107 = 110
4 + 106 = 110
5 + 105 = 110
6 + 104 = 110
7 + 103 = 110
8 + 102 = 110
9 + 101 = 110
10 + 100 = 110
11 + 99 = 110
12 + 98 = 110
13 + 97 = 110
14 + 96 = 110
15 + 95 = 110
16 + 94 = 110
17 + 93 = 110
18 + 92 = 110
19 + 91 = 110
20 + 90 = 110
21 + 89 = 110
22 + 88 = 110
23 + 87 = 110
24 + 86 = 110
25 + 85 = 110
26 + 84 = 110
27 + 83 = 110
28 + 82 = 110
29 + 81 = 110
30 + 80 = 110
31 + 79 = 110
32 + 78 = 110
33 + 77 = 110
34 + 76 = 110
35 + 75 = 110
36 + 74 = 110
37 + 73 = 110
38 + 72 = 110
39 + 71 = 110
40 + 70 = 110
41 + 69 = 110
42 + 68 = 110
43 + 67 = 110
44 + 66 = 110
45 + 65 = 110
46 + 64 = 110
47 + 63 = 110
48 + 62 = 110
49 + 61 = 110
50 + 60 = 110
51 + 59 = 110
52 + 58 = 110
53 + 57 = 110
54 + 56 = 110
55 + 55 = 110
There are 56 pairs of whole numbers hav a sum of 110.

Question 10.
CHALLENGE How many pairs of whole numbers have a sum of 99?
0 + 99 = 99
1 + 98 = 99
2 + 97 = 99
3 + 96 = 99
4 + 95 = 99
5 + 94 = 99
6 + 93 = 99
7 + 92 = 99
8 + 91 = 99
9 + 90 = 99
10 + 89 = 99
11 + 88 = 99
12 + 87 = 99
13 + 86 = 99
14 + 85 = 99
15 + 84 = 99
16 + 83 = 99
17 + 82 = 99
18 + 81 = 99
19 + 80 = 99
20 + 79 = 99
21 + 78 = 99
22 + 77 = 99
23 + 76 = 99
24 + 75 = 99
25 + 74 = 99
26 + 73 = 99
27 + 72 = 99
28 + 71 = 99
29 + 70 = 99
30 + 69 = 99
31 + 68 = 99
32 + 67 = 99
33 + 66 = 99
34 + 65 = 99
35 + 64 = 99
36 + 63 = 99
37 + 62 = 99
38 + 61 = 99
39 + 60 = 99
40 + 59 = 99
41 + 58 = 99
42 + 57 = 99
43 + 56 = 99
44 + 55 = 99
45 + 54 = 99
46 + 53 = 99
47 + 52 = 99
48 + 51 = 99
49 + 50 = 99
There are 50 pairs of whole numbers have a sum of 99.

Bridges in Mathematics Grade 3 Home Connections Unit 1 Module 3 Session 3 Answer Key

Question 1.
Count on by 10s to fill in the blanks below.

a. 217 ____ ____ 247 ___ ___, ___, ____, ____
217, 227, 237, 247, 257, 267, 277, 287, 297

b. ____ ____ ____ ____ 42 52 ____ ____ ____
2, 12, 22, 32, 42, 52, 62, 72, 82

c. ____ ___ ____ 110 ___ ____ ____ ____ ____
80, 90, 100, 110, 120, 130, 140, 150, 160

d. ____ _____ 356 ____ 376 ____ ____ ____ _____
336, 346, 356, 366, 376, 386, 396, 406, 416

Question 2.
Solve each problem below. Show your work for each.

a. The book measures 40 centimeters and the paper measures 120 centimeters. How long are they together if you line them up end-to-end?
Given,
The book measures 40 centimeters and the paper measures 120 centimeters.
40 + 120 = 160 cm

b. The paper measures 120 centimeters and the pen measures 30 centimeters. How long are they together if you line them up end-to-end?
Given,
The paper measures 120 centimeters and the pen measures 30 centimeters.
120 + 30 = 150 cm

c. The photo measures 30 centimeters and the frame measures 250 centimeters. If you lined them up end-to-end, how long would they be together?
Given,
The photo measures 30 centimeters and the frame measures 250 centimeters.
30 + 250 = 280 cm

Question 3.
Albert rode his bike for 14 minutes. Ally rode her bike for 8 minutes.

a. How much longer did Albert ride?
Given,
Albert rode his bike for 14 minutes. Ally rode her bike for 8 minutes.
14 – 8 = 6 minutes

b. Which equation could you use to represent this problem: 14 + 8 = b 14 + b = 8 8 – b = 14 14 – b = 8
14 – 8 = b
14 – b = 8
Option D is the correct answer.

Question 4.
Show your thinking when you solve these problems:

a. Bobby is supposed to be at school at 8:30 but on Monday he was 17 minutes late. What time did Bobby get to school?
Given,
Bobby is supposed to be at school at 8:30 but on Monday he was 17 minutes late.
8:30 + 17 mins = 8:47

b. CHALLENGE Steve was also late to school on Monday, but he got there 8 minutes before Bobby. What time did Steve get to school?
Steve was also late to school on Monday, but he got there 8 minutes before Bobby.
8:47 – 08 = 8:39

Bridges in Mathematics Grade 3 Home Connections Unit 1 Module 3 Session 5 Answer Key

Question 1.
Count on by 10s to fill in the blanks below.
a. 46 56 ____ ____ ____ ____ ____ 116
46,  56, 66, 76, 86, 96, 106, 116

b. ___ ____ ____ ____ 148 ____ ____ ____
108, 118, 128, 138, 148, 158, 168, 178

c. ____ ___ ___ 232 ___ ___ ___ ____
202, 212, 222, 232, 242, 252, 262, 272

d. ____ ____ 756 ___ 776 ____ ____ ____
736, 746, 756, 766, 776, 786, 796, 806

Question 2.
Solve the problems below. Show your work for each.

a. The book measures 45 units and the paper measures 23 units. How long are they together if you line them up?
Given,
The book measures 45 units and the paper measures 23 units.
45 + 23 = 68 units

b. The pencil measures 20 units and the pen measures 32 units. How long are they together if you line them up?
Given,
The pencil measures 20 units and the pen measures 32 units.
20 + 32 = 52 units

c. The photo measures 95 units and the frame measures 25 units. If you lined them up, how long would they be together?
Given,
The photo measures 95 units and the frame measures 25 units.
95 + 25 = 120 units

d. You line up a paper, pencil, and pen and they measure 43 units end to end. The paper measures 23 units, the pencil measures 10 units. What does the pen measure?
Given,
You line up a paper, pencil, and pen and they measure 43 units end to end. The paper measures 23 units, the pencil measures 10 units.
The pen measures 10 units.

Question 3.
Alex’s goal this month is to ride 20 miles on his bike. One week he rode 5 miles, the next week he rode 6 miles, and this past week he rode 8 miles.

a. How many miles has Alex ridden so far?
Given,
Alex’s goal this month is to ride 20 miles on his bike.
One week he rode 5 miles, the next week he rode 6 miles, and this past week he rode 8 miles.
5 + 6 + 8 = 19 miles

b. How many miles does Alex still need to ride to meet his goal of riding 20 miles this month?
20 – 19 = 1 mile

Question 4.
Alex’s sister Hazel also likes to bicycle a lot. In three weeks, she rode a total of 20 miles. How many miles did she ride each week? Find at least four solutions to the problem.  Question 5.
Steve and Henry rode their bikes completely around Brightwood Park. The distances are marked on the map. How many kilometers (km) did they ride? Show your work.  