# Bridges in Mathematics Grade 3 Student Book Unit 1 Module 1 Answer Key

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

## Bridges in Mathematics Grade 3 Student Book Answer Key Unit 1 Module 1

Bridges in Mathematics Grade 3 Student Book Unit 1 Module 1 Session 1 Answer Key

Summer Vacation Survey

Samir and Sophia interviewed different classmates to find out what they did during summer vacation. Read each question carefully to find out what their classmates did. Then answer each question using words, pictures, or numbers. Show your work.

Question 1.
Fourteen of the people Samir interviewed went swimming, and 9 of the people Sophia interviewed went swimming. How many of Samir and Sophia’s classmates went swimming?
Number of people went to swimming interviewed by Samir = 14
Number of people went to swimming interviewed by Sophia = 9
Number of Samir and Sophia’s classmates went  for swimming = ?
= 14 + 9
= 23
Therefore 23 classmates of Samir and Sophia’s went for swimming.

Question 2.
Eight of the people Sophia interviewed went to summer camp, and 13 of the people Samir interviewed went to summer camp. How many people went to summer camp? Number of people interviewed by Sophia went for summer camp = 8
Number of people interviewed by Samira for summer camp = 13
Number of people went for summer camp = ?
= 8 + 13
= 21

Question 3.
Nine of the people who went to summer camp went to sleepover camp and the rest went to day camp. How many people went to day camp? (Hint: You will need to use the answer to question 2.) From question 2 Number of People who went to Summer Camp = 21
If 9 People from Summer Camp Went to Sleepover Camp, the rest are the people who went to day camp i.e.  21- 9
= 12
Therefore, the number of people who went to day camp is 12.

Question 4.
Samir and Sophia learned that 17 of their classmates went to the library during summer vacation. Samir interviewed 8 of those 17 people. How many of those people did Sophia interview? Total Number of people who went for library during the summer vacation = 17
Number of people interviewed by Samir = 8
Number of people interviewed by Sophia = ?
= 17 – 8
= 9
Therefore nine people are interviewed by Sophia.

Question 5.
Find each sum or difference.
7 + 15 = ____ 3 + 8 = ____ 16 – 8 = ____
7 + 15 =  22 3 + 8 = 11 16 – 8 = 8
Add both the numbers 7 and 15, then the result is 22. Again add 3 and 8, then we have the result as 11. Similarly, Subtract 8 from 16, then we get the result as 8.

Bridges in Mathematics Grade 3 Student Book Unit 1 Module 1 Session 2 Answer Key

Summer Vacation Survey

Samir and Sophia interviewed their classmates about their favorite summertime activities. They put the results into a bar graph. Use the bar graph to answer the following questions. Use words, pictures, or numbers to show your work.

Question 1.
How many people liked going to the beach best? _____
As per the given Favorite summer Activity Graph, it is clear that 6 people liked going to the beach best. Question 2.
How many people liked going on a trip best? _____
As per the given Favorite summer Activity graph, it is clear that 7 people liked going to the trip best.

Question 3.
Nine people liked playing a summer sport and 4 people liked going to the movies. How many more people liked playing a summer sport than going to the movies?
Number of people who liked to play the summer sport = 9
Number of people who liked to go for movies = 4
The number of people liked to play a summer sport compared to going to movies =?
= 9 – 4
= 5
Therefore 5 people liked to play the summer sport.

Question 4.
How many people did Sophia and Samir survey in all? How do you know?
Number of People Sophia and Samir in all = Sum of people who liked trips, beach, sports, and movies
= 7+6+9+4
= 26
Therefore, Sophia and Samir surveyed a total of 26 people.

Question 5.
Find each sum or difference.
14 – 5 = ____ 13 + 5 = ____ 15 – 10 = ____ 9 + 8 = ____
Subtract the 5 from 14, then get the result as 9.
Add both the numbers 13 and 5, then get the result as 18.
Subtract the 5 from 14, then get the result as 9.
Add both the numbers 9 and 8, then get the result as 15.
14 – 5 = 9  13 + 5 = 18  15 – 10 = 6  9 + 8 = 15

Bridges in Mathematics Grade 3 Student Book Unit 1 Module 1 Session 3 Answer Key

Story Problems

Question 1.
Conner and Carlos are doing a puzzle. The puzzle has 16 pieces. So far, Conner and Carlos have fit 9 pieces together. How many more pieces do they need to fit together to finish the puzzle?

a. What is this problem asking you to figure out?
They are asking to find out the number of puzzles required to fit together by Conner and Carlos for completing a puzzle

c. Use this space to solve the problem. Show all your work using numbers, words, or labeled sketches.
Number of pieces in a puzzle = 16
Number of puzzles fitted together by Conner and Carlos = 9
Number of puzzles required to fit together by Conner and Carlos = ?
= 16 – 9
= 7
Therefore 7 puzzles are needed to finish the puzzle.

Question 2.
Simone and Aleshia are saving money to buy a new tent together to take camping. Simone has saved $17 and Aleshia has saved$10. How much have they saved in all?

a. What is this problem asking you to figure out?
They are asking for the amount of total money saved by Simone and Aleshia for buying the new tent for taking camping.

Simone and Aleshia are saving money to buy a new tent together.

c. Use this space to solve the problem. Show all your work using numbers, words, or labeled sketches.
Amount of money saved by Simone = $17 Amount of money saved by Aleshia =$ 10
Amount of money saved by all together =?
= $17 +$ 10
= $27 Therefore$27 was saved by both Simone and Aleshia.

Question 3.
Write an equation that could represent this picture. The Equation that represents the given picture is 9+7 = 16

Bridges in Mathematics Grade 3 Student Book Unit 1 Module 1 Session 4 Answer Key Question 1.
Complete the Make Ten facts below. It is a technique that employs the combinations of numbers which are added until the number 10 which are as shown below. Question 2.
Solve the Doubles facts below. A double facts method is a kind of addition fact that indicates the addition of a similar number two times as shown below. Question 3.
Solve the Doubles Plus or Minus One facts below. A double plus or Minus one Fact is a technique employed for adding two successive numbers as shown below. Question 4.
Explain how you can use a Doubles fact to solve each of the following:

a. 9 + 7
Given 9 + 7
To solve the given write it as  to use the double fact 9 + 7 = 7 +7 + 2 = 16
Therefore the value of 9 + 7 = 16

b. 6 + 8
Given 6 + 8
To solve the given write it as to use the double fact 6 + 8 = 6 + 6 + 8 = 14
Therefore the value of 6 + 8 = 14

c. 3 + 5
Given 3 + 5
To solve the given write it as to use the double fact  3 + 5 = 3 + 3 + 2 = 8
Therefore the value of  3 + 5 = 8

Question 5.
Is the sum of 0 and any number always even, always odd, or sometimes even and sometimes odd? Explain.
Yes of course, when 0 is added any number might be sometimes odd and sometimes even.
For example 0 +2 = 2, even number
0+5 = 5, an odd number
0+9 = 9, an odd number
0+4 = 4, an even number
Therefore 0 when added to an even or odd number is sometimes odd and sometimes even.

Question 6.
Write an equation that could represent this picture. The Equation that represents the given picture is 8 + 6 = 14

Bridges in Mathematics Grade 3 Student Book Unit 1 Module 1 Session 5 Answer Key

Work Place Instructions 1A Make the Sum

Each pair of players needs:

• 1 deck of Number Cards to share, with the wild cards removed
• their own journals and a pencil

1. Together, players choose a target number between 8 and 15. Each player writes the target number at the top of a new page in their journal. (If players choose a target number equal to or less than 9, they remove the cards greater than the target number from the deck.) 2. One player shuffles the cards and places 16 face-down in a 4-by-4 array.
3. Each player draws 1 card from the deck. The player with the higher number goes first.
4. The first player turns over 2 cards from the 4-by-4 array.

• If the numbers on the 2 cards add up to the target number, the player keeps the cards and writes an equation in their journal to show the two numbers and the sum.
• If the numbers don’t add up to the target number, the player can turn over another card until the sum is equal to or greater than the target number. If the sum is equal to the target number, the player keeps all of the cards and writes an equation in her journal. If the sum goes over the target number, the player turns all the cards back over.

5. Players replace any cards taken so that there are still 16 cards face-down. Then the next player takes a turn.
6. The game continues until all the cards are gone, or until there are no more combinations that add up to the target number.
7. The player with the most cards wins the game.
8. Players choose a different target number and play again.

Game Variations

A. Cards are placed face-up instead of face-down.
B. Players use a target number lower than 10 or higher than 15. A player turns over 3 or 4 cards at a time and then uses any combination of operations (addition, subtraction, multiplication, division) and each number just once to reach the target number.
C. Players choose 15 or 20 as the target number. A player turns over 4 cards at a time and uses any
combination of operations (addition, subtraction, multiplication, division) and each number just once to reach the target number.

Bridges in Mathematics Grade 3 Student Book Unit 1 Module 1 Session 5 Answer Key

Question 1.
Fill in the missing number in each equation below.
a. 4 + 6 = ____
Add both the given numbers 4 and 6 then, get the result as 10. place the 10 in the missing number given as shown below.
4 + 6 = 10

b. 4 + ___ = 11
Subtract 4 from 11 and get the result as 7. Then, place the 7 in the missing number given as shown below.
4 + 7 = 10

c. 9 = ___ + 2
Subtract 2 from 9 and get the result as 7. Then, place the 7 in the missing number given as shown below.
9 = 7 + 2

d. 8 + 9 = ____
Add both the given numbers 8 and 9 then, get the result as 17. place the 17 in the missing number given as shown below.
8 + 9 = 17

e. 16 = 9 + ___
Subtract 9 from 16 and get the result as 7. Then, place the 7 in the missing number given as shown below.
16 = 9 + 7

Question 2.
Explain how you can use a Make Ten fact to help find each sum below.

a. 8 + 7
Given 8 and 7 are two numbers to add.
To use the ten facts write the number and get the result 15 as shown below.
8 + 7 = 7 + 1 + 7 = 15

b. 6 + 8
Given 6 and 8 are two numbers to add.
To use the ten facts write the number and get the result 15 as shown below.
6 + 8 = 6 + 6 + 2 = 14

c. 4 + 9
Given 4 and 9 are two numbers to add.
To use the ten facts write the number and get the result 13 as shown below.
4 + 9 = 4 + 4 + 5 = 13

Question 3.
Complete the equations below by writing three different pairs of numbers with a sum of 12.
a. ___ + ___ = 12
Take the numbers 6 and 6. Add both numbers and get the result as 12. Then, the Equation is written as shown below.
6 + 6 = 12

b. ___ + ___ = 12
Take the numbers 10 and 2. Add both numbers and get the result as 12. Then, the Equation is written as shown below.
10 + 2 = 12

c. ___ + ___ = 12
Take the numbers 8 and 4. Add both numbers and get the result as 12. Then, the Equation is written as shown below.
8 + 4 = 12

Question 4.
Think about the Doubles facts. What is true about all of the sums? 