# Bridges in Mathematics Grade 3 Student Book Unit 2 Module 4 Answer Key

The solutions to Bridges in Mathematics Grade 3 Student Book Answer Key Unit 2 Module 4 can help students to clear their doubts quickly.

## Bridges in Mathematics Grade 3 Student Book Answer Key Unit 2 Module 4

Bridges in Mathematics Grade 3 Student Book Unit 2 Module 4 Session 1 Answer Key

Book Bar Graph

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total
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different  Question 1.
Use words or numbers to write at least 4 observations about this graph. Include one word or mathematical symbol from the box in each observation.
1.From the graph Number of science Books = 5
Number of Math’s Books = 2
Number of social Books = 3
Number of Hindi Books = 4
2. Number of students who prefer books Hindi are less than science books i.e. 4 < 5
3. Number of students who prefer books Social are More than Math’s books i.e. 3 > 2
4. No two books are Equal according to graph, i.e 5 ≠ 2 and 4  ≠ 3

Question 2.
Name one person who would find it helpful to see your graph. Explain why.
Kiran is the person who found it helpful for seeing the Graph.

Question 3.
This kind of graph is called a bar graph. The other graph you made is called a picture graph. Which kind of graph do you think is easier for people to understand? Why?
of course , both the graphs are easy to understand. But through picture graph is highly complicated to present the data accurately.

Favorite Books

Question 1.
Look at the two graphs below and then answer the following questions. a. Do the picture graph and the bar graph above represent the same data?
Yes, of course both Picture and bar graph represent the same data.

b. How do you know?
Plotting the data on both the type of graphs is same. i.e. plotting pattern is same. Because the data is plotted in the form of figures and  where as in case of bar graphs data is plotted as bars.

c. Using the picture graph, tell how many students are in the class. Explain how you know.
From the Picture Graph, There are 16 number of students in the class. Since two students are taken as single unit on the scale in a picture graph.

d. Using the bar graph, tell how many students are in the class. Explain how you know.
From the Bar Graph, There are 16 number of students in the class. Since two students are taken as single unit on the scale in a bar graph.

Question 2.
Fill in the blanks: Here the number line is starting from 2 to 10 with a multiples of 4. Here are the missing numbers in the given puzzle which are as shown below. Bridges in Mathematics Grade 3 Student Book Unit 2 Module 4 Session 2 Answer Key

Woodlawn Elementary School’s librarian Mr. Jackson is keeping track of the kinds of books students check out. This chart shows the number of each kind of book the third graders have checked out so far this year. The third grade teachers want to know more about what their students are reading. Create a bar graph showing the information Mr. Jackson collected. Each cell in the graph stands for 4 books checked out. Library Books Problems

Use the Library Books Data & Graph you just completed to solve these problems. Show- all of your work for problems 3 and 4.

Question 1.
Which kind of book was checked out the most? How many of them were checked out?
From the graph , Fiction book was checked out most. The number of people checked out are 33.

Question 2.
Which kind of book was checked out the least? How many of them were checked out?
From the graph , Sports book was checked out Least. The number of people checked out are 8.

Question 3.
How many more of the most popular kind of book (see problem 1) were checked out than the least popular kind of book (see problem 2)?
Number of people checked out most = 33
Number of people checked out Least = 8
= 33 – 8
= 25
Therefore 25 more people are there who checked out than the least popular kind of book.

Question 4.
Each kind of book is either fiction or nonfiction.
a. Which kind of book—fiction or nonfiction—was checked out more?
Number of fiction books = 32 + 10 + 33 + 29 = 104
Number of Non-fiction books = 16 + 12 + 15 + 8 = 51
From this , Number of fiction books are checked more than Non-fiction books.
b. Exactly how many more of the most popular kind of book (fiction or nonfiction) were checked out?
Number of fiction books = 32 + 10 + 33 + 29 = 104
Number of Non-fiction books = 16 + 12 + 15 + 8 = 51
From this , Number of fiction books are more than Non-fiction books.
Therefore  Exactly  53  Fiction books were checked out more.

Question 5.
The librarian noticed that students checked out 21 more of one kind of book than another. Which two kinds of books is the librarian comparing?
The two kinds of books that Librarian compared are Fiction and Biography.
Number of students who checked out biography = 12
Number of students who checked out Fiction = 33
Difference between them : = 33 – 12
= 21

Question 6.
CHALLENGE There are some kinds of books that students checked out twice as many of as other books. Name as many pairs of books as you can where students checked out two times more of one than the other.
There are two books checked out which are two times of one than the other.
(i). Art $crafts is two times than Advanture. (ii). sports is two times than Art$ crafts.

The students in Ms. Carter’s class sold gift wrap to raise money for new playground equipment. The line plot below shows how many rolls of gift wrap the students sold. Question 1.
How many students are in the class? Explain how you know.
There are 29 students in the class. Count the no.of students(X) on each Wrap so that we can the total number of students present.

Question 2.
How many students sold 7 rolls of gift wrap? ______
From the graph, we noticed the number of students who sold 7 rolls of gift wrap are 2

Question 3.
How many rolls of gift wrap did most of the students sell? ______
From the Graph , at point of 5 that the most of the students sell.

Question 4.
Sara “1qh sold more gift wrap than anyone else. How many rolls did she sell? _______
From the graph , Sarah sold 7 more gifts than the other students.

Question 5.
How many rolls of gift wrap were sold in all? Show your work. (Hint: Be careful here. The answer is NOT the total number of Xs on the line plot.)
There are 9 rolls of gift wrap that are sold in all.(Simply observe the Wraps at the point where the Number of Rolls are markes).

Question 6.
Fill in the table. As we know Number of tires for a single car : 1 x 4 = 4
similarly , for 2 cars : 2 x 4 = 8
for 4 cars : 2 x 4 = 16
for 5 cars : 5 x 4 = 20
for 10 cars : 10 x 4 = 40
Then place the Number of tires for the respective number of cars as shown below. Bridges in Mathematics Grade 3 Student Book Unit 2 Module 4 Session 3 Answer Key

More Library Books Problems

Mr. Jackson is the librarian at Woodlawn Elementary School. He loves to learn about what his students are interested in and like to read so that he can get new books for the library.

Question 1.
Mr. Jackson got some new books for the library, all of which are the same size. He wants to display them for the students and teachers. He put the same number of books on each shelf, as you can see in the picture. How many books are displayed on the shelves in all? Show your work. As per the Given Diagram , Number of shelves = 3
So, we can place 6 books in each Row :  6 x 3 =18
Therefore 18 books are displayed on the shelves in all.

Question 2.
The students at Woodlawn love fantasy fiction, so Mr. Jackson ordered some popular series of fantasy books. There are 7 books in the series by one of the most popular fantasy authors. Mr. Jackson decided to buy 4 sets of that series for the library. The students liked those books so much that Mr. Jackson bought 4 sets of another series that includes 5 books. How many new fantasy books did Mr. Jackson buy in all? Show your work.
Number of books in series = 7
Number of sets of books decided to buy for the library = 4
Then total number of books : 4 x 7 =28
Number of books in series = 4
Number of books decided to buy another set for a library : 4 x 5 = 20
Therefore total number of new fantasy books = 20+ 20
= 48 books.

Question 3.
The students at Woodlawn love science, so Mr. Jackson bought a set of science books for them that included 10 different books. Five of the books were 3 inches thick, 3 were 2 inches thick, and 2 were 1 inch thick. How much space will he need to keep them together on the shelf? Show your work.
Number of 3 inches books = 5
Number of 2 inches books = 3
Number of 1 inch books = 2
= 5 x 3 + 3 x 2 +2 x 1
= 15 + 6 + 2
= 15+ 8
= 23
Therefore 23 inches space is needed to keep them together on the shelf.

The PTA had a fundraiser and they gave some of the money they raised to Mr. Jackson to buy even more books for the library. Mr. Jackson asked some of the teachers to help him decide what to buy. They listed the following books. Question 4.
After Mr. Jackson figured out how much those books would cost, he saw that he had $85 left to spend. How much money did the PTA give him to start with? Show your work. Answer: Total cost of 4 books =$6 x 3 + $7 x 4 +$5 x 4+$4 x 6 =$18 +$28+$20+$24 =$90
Amount of money with Mr.jackson = $90 –$85
= \$5

Question 5. Ashok wants to arrange the science books in the study Room with similar size. He is intended to show his parents. He wants to Kept with identical number of books in every shelf, What is the Number of books he can display on the given shelves?
From the given figure, Number of shelves = 3
Then, we can place 7 books in each Row :  7 x 3 =21
Hence  21 books are displayed on the shelves in all.

Mr. White’s Pencil Survey

Question 1.
Mr. White did the pencil survey with his class. The line plot below shows his survey results. Study the line plot below and then answer the questions. a. How many students had 3 pencils? ______
From the graph , There are 2 students who is having 3 pencils.

b. How many students had 8 pencils? _____
None of the students are having 8 pencils.

c. How many students took part in this survey? _____
There are 5 students(0,1,2,5 and 10) who took part in this survey

d. How many more students had 5 pencils than had 2 pencils? _____
At a student 1 and student 5 there are 5 pencils than 2 pencils.

e. How many total pencils were found? (Hint: Be careful! The answer is not 19 pencils.)
From the above Given graph There are 5 pencils.

Question 2.
Fill in the blanks.
3 + ___ = 15 ___ – 5 = 9 16 = ___ + 8 13 = 7 + ____
Subtract 3 from 15 and get the result as 12.Then place the 12 in the first missing blank.
Add both the numbers 9, 5 and get the result as 14.Then place the 14 in the second missing blank.
Subtract 8 from 16 and get the result as 16.Then place the 8 in the third missing blank.
Subtract 7 from 13 and get the result as 6.Then place the 6 in the fourth missing blank.
3 + 12 = 15   14 – 5 = 9   16 = 8 + 8   13 = 7 + 6

Question 3.
Solve the following problems.
3 + 3 + 3 + 3 + 3 = ___ 8 + 8 + 8 = ____
10 + 10 + 10 + 10 = ___ 9 + 9 = ______
Add the given numbers and get the result. Then place the result in the respective given blanks as shown below.
3 + 3 + 3 + 3 + 3 =  15    8 + 8 + 8 = 24
10 + 10 + 10 + 10 =  40  9 + 9 = 18

Question 4
Write one of the problems above as a multiplication equation.
The Multiplication problem from the above Equations is 9 x 9 = 81
Bridges in Mathematics Grade 3 Student Book Unit 2 Module 4 Session 4 Answer Key

Question 1.
Today you will write and design your own problems, based on your work in Unit 2. Read all of the challenges first. You can go in any order—start with whichever challenge you like! Try to write problems that are just right for you to solve, not too easy and not too hard.

a. Write and solve a multiplication problem involving windowpanes.

Write an equation that describes this problem. ____________
A carpenter Kiran is constructing the window having 8 rows of windowpanes. Every row is with 4 windowpanes. How many windowpanes that Kiran required to construct in each window?
Number of rows of Window panes = 8
Number of windowpanes in each row = 4
Number of windowpanes wally required to construct in each window = ?
Equation : = 8 x 4
= 32

b. Write and solve a multiplication problem involving items at a pet store.

Write an equation that describes this problem. __________
A pet store traded seven toys in a single day. Each toys is sold with a price of five Rupees, Then what is the amount of Rupees that a pet store made?
Number of toys that are traded = 7
Cost of each Toy = 5
Number of Rupees that a pet store gains = ?
Equation : = 7 x 5
= 35 Rupees.

c. Write and solve a multiplication problem involving coral reef species.

Write an equation that describes this problem. ____________
Suppose A coral reef in the ocean with a 9 rows .Each row with a 6 corals. Then how many corals are present totally in the ocean?
Number of rows with a coral Reef = 9
Number of corals in each Row = 6
Total number of rows exist =?
Equation : = 9 x 6
= 54

Question 2.
Now solve this story problem: You are playing the Carrot Grab game. You are on 117. You spin “Hop 2 tens” and roll a sum of 8. Where do you land? Describe how you would move in order to get the most carrots.