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 = ___ + ___ + ____

Answer:

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 = ___ – ___

Answer:

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.

Answer:

10 – 2 = 8

b. Write a subtraction equation to represent the picture above.

Answer:

10 – 1 = 9

Question 4.

a. Add each pair of numbers.

Answer:

b. What pattern do you see in the combinations above?

Answer:

- You always add 10 to another number.
- There are 8 in ones place.
- Adding 10 does not change the number in ones place.
- 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?

Answer:

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?

Answer:

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?

Answer:

Given,

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.

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.)

Answer:

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?

Answer:

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?

Answer:

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?

Answer:

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**

**Adding Tens**

Question 1.

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

a. 217 ____ ____ 247 ___ ___, ___, ____, ____

Answer:

217, 227, 237, 247, 257, 267, 277, 287, 297

b. ____ ____ ____ ____ 42 52 ____ ____ ____

Answer:

2, 12, 22, 32, 42, 52, 62, 72, 82

c. ____ ___ ____ 110 ___ ____ ____ ____ ____

Answer:

80, 90, 100, 110, 120, 130, 140, 150, 160

d. ____ _____ 356 ____ 376 ____ ____ ____ _____

Answer:

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?

Answer:

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?

Answer:

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?

Answer:

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?

Answer:

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

Answer:

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?

Answer:

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?

Answer:

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**

**More Adding Tens**

Question 1.

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

a. 46 56 ____ ____ ____ ____ ____ 116

Answer:

46, 56, 66, 76, 86, 96, 106, 116

b. ___ ____ ____ ____ 148 ____ ____ ____

Answer:

108, 118, 128, 138, 148, 158, 168, 178

c. ____ ___ ___ 232 ___ ___ ___ ____

Answer:

202, 212, 222, 232, 242, 252, 262, 272

d. ____ ____ 756 ___ 776 ____ ____ ____

Answer:

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?

Answer:

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?

Answer:

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?

Answer:

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?

Answer:

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?

Answer:

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?

Answer:

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.

Answer:

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.

Answer:

13 + 12 + 8 + 4 = 37 km

Question 6.

Logan’s dog, Chief, likes to patrol along the fence of Logan’s backyard to make sure everything is as it should be. How many feet does Chief walk every time he patrols the yard? Show your work.

Answer:

Given,

60 + 60 + 40 + 40 = 200 ft