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Bridges in Mathematics Grade 5 Home Connections Answer Key Unit 3 Module 4
Bridges in Mathematics Grade 5 Home Connections Unit 3 Module 4 Session 2 Answer Key
Division Games
Note to Families
One way to solve a long division problem is to picture it in the form of a rectangle. When you do this, the number you’re dividing by is one of the dimensions and the number being divided is the area of the rectangle. Quotients Win will help students practice using this strategy to sketch and solve such problems as 150 ÷ 10 and 220 ÷ 22. Your fifth grader can show you how to make the sketches, and there is an example below for your reference. There are two record sheets so you can play the game twice. This Home Connection includes a second division game, Go for Zero, if you and your child want to play a more challenging game.
For Quotients Win you’ll need:
- 2 pencils
- colored pencils or markers in 2 different colors
- a paperclip
For Go for Zero you’ll need:
- a calculator
- pencils
- 2 game spinners
Instructions for Quotients Win
1. Take turns spinning the spinner one time each. The player with the higher number gets to pick his or her color marker or colored pencil and go first.
2. Spin the spinner to see which problem on the game sheet you will solve.
3. Make a labeled sketch of the problem on the game sheet and fill in the answer. Be sure to use your colored pencil or marker to sketch the dimensions and a regular pencil for the rest of the work.
Theo I spun a 5, so I have to do problem 5 on the game sheet. That’s 160 ÷ 10. First I’ll show 10 on the side and then start filling in the array until I get to 160. My rectangle turned out to be 16 along the other side, so that’s the answer.
4. Take turns spinning and solving problems until you have each gone 3 times. If you spin the number of a problem that has already been solved, spin again until you get the number of a problem that has not been solved yet. (You have to use the first number that has not been solved.) When it’s the other player’s turn, be sure to watch, help, and double-check his or her work.
5. At the end of the game, add your quotients and record your score at the bottom of the sheet. The player with the higher score wins.
Division Games
Instructions for Go for Zero
1. Take turns spinning the spinner once. The person with the higher number goes first.
2. Choose any 3-digit number that is less than or equal to 900. Enter it into the calculator and then give the calculator to your partner.
3. Player 2 uses the calculator to reduce the number to 0 by adding, subtracting, multiplying, or dividing by single-digit numbers other than zero. You can make as many as 5 calculations (but no more) to get the original number down to zero. Do your work on the calculator, but record each move on the record sheet.
4. Play back and forth until you have each had 3 turns. Then count up the total number of calculations you made and use the more or less spinner to determine the winner. If the spinner lands on “more,” the player who made more calculations wins. If the spinner lands on “less,” the player who made fewer calculations wins.
Example
Player 1 chooses 334.
Player 2:
- divides 334 by 2 to get 167 (calculation 1)
- subtracts 7 from 167 to get 160 (calculation 2)
- divides 160 by 8 to get 20 (calculation 3)
- divides 20 by 4 to get 5 (calculation 4)
- subtracts 5 from 5 to get 0 (calculation 5)
Division Games
Game Spinners
Rip this page carefully out of your book to play Quotients Win or Go for Zero.
Use the Quotients Win Spinner for Quotients Win and to decide which player starts first in Go for Zero. Use the Go for Zero spinner to determine the winner in Go for Zero.
Division Games
Quotients Win Game Sheet 1
Player 1 ____________ Player 2 ____________
Color _____________ Color ____________
Question 1.
120 ÷ 12 = ____________
Answer:
12,
Explanation:
Given that 120 ÷10 , First I’ll show 10 on the side and then start filling in the array until I get to 120. My rectangle turned out to be 2 along the other side, so that is the answer which is 120 ÷ 10 = 12.
Question 2.
230 ÷ 10 = ____________
Answer:
230 ÷ 10 = 23,
Explanation:
Given that 230 ÷ 10, First I’ll show 10 on the side and then start filling in the array until we get to 230. My rectangle turned out to be 30 along the other side so that’s the answer which is 230 ÷ 10 = 23.
.Question 3.
180 ÷ 18 = ____________
Answer:
180 ÷ 18 = 10,
Explanation:
Given that 180 ÷ 18 , First I’ll show 10 on the side and then start filling in the array until I get to 180. My rectangle turned out to be 80 along the other side, so that’s the answer which is 180 ÷18 = 10.
Question 4.
240 ÷ 10 = ____________
Answer:
240 ÷ 10 = 24,
Explanation:
Given that 240 ÷ 10 , First I’ll show 10 on the side and then start filling in the array until I get to 240. My rectangle turned out to be 40 along the other side, so that’s the answer which is 240 ÷ 10 = 24.
Question 5.
110 ÷ 10 = ____________
Answer:
110 ÷ 10 = 11,
Explanation:
Given that 110 ÷ 10, First I’ll show 10 on the side and then start filling in the array until I get to 110. My rectangle turned out to be 10 along the other side, so that’s the answer which is 110÷10 = 11.
Question 6.
150 ÷ 15 = ____________
Answer:
150 ÷ 15 = 10,
Explanation:
Given that 150 ÷ 15 , First I’ll show 10 on the side and then start filling in the array until I get to 150. My rectangle turned out to be 50 along the other side, so that’s the answer which is 150 ÷ 15 = 10.
Player 1’s Score _________ Player 2’s Score _________
Quotients Win Game Sheet 2
Player 1 _________ Player 2 ___________
Color ___________ Color __________
Question 1.
280 ÷ 10 = _____
Answer:
280 ÷ 10 = 28,
Explanation:
Given that 280 ÷ 10, First I’ll show 10 on the side and then start filling in the array until I get to 280. My rectangle turned out to be 80 along the other side, so that’s the answer which is 280 ÷ 10 = 28.
Question 2.
190 ÷ 10 = _____
Answer:
190 ÷ 10 = 19,
Explanation:
Given that 190 ÷ 10, First I’ll show 10 on the side and then start filling in the array until I get to 190. My rectangle turned out to be 90 along the other side, so that’s the answer which is 190 ÷ 10 = 19.
Question 3.
300 ÷ 20 = _____
Answer:
300 ÷ 20 = 15,
Explanation:
Given that 320 ÷ 20, First I’ll show 10 on the side and then start filling in the array until I get to 320. My rectangle turned out to be 20 along the other side, so that’s the answer which is 320 ÷ 20 = 15.
Question 4.
400 ÷ 20 = _____
Answer:
400 ÷ 20 = 20,
Explanation:
Given that 400 ÷ 20, First I’ll show 10 on the side and then start filling in the array until I get to 400, So that’s the answer which is 400 ÷ 20 = 20.
Question 5.
160 ÷ 10 = _____
Answer:
160 ÷ 10 = 16,
Explanation:
Given that 160 ÷ 10, First I’ll show 10 on the side and then start filling in the array until I get to 160. My rectangle turned out to be 60 along the other side, so that’s the answer which is 160 ÷ 10 = 16.
Question 6.
220 ÷ 20 = _____
Answer:
220 ÷ 20 = 11,
Explanation:
Given that 220 ÷ 20, First I’ll show 10 on the side and then start filling in the array until I get to 220. My rectangle turned out to be 20 along the other side, so that’s the answer which is 220 ÷ 20 = 11.
Player 1’s Score ___________ Player 2’s Score ___________
Player 1 ___________ Player 2 __________
Total number of calculations made by player 1 _______
Total number of calculations made by player 2 ______
The winner of this game is ________________________
Answer:
Explanation:
Total number of calculations made by player 1 __541__
Total number of calculations made by player 2 __763____
The winner of this game is player 1.
Bridges in Mathematics Grade 5 Home Connections Unit 3 Module 4 Session 3 Answer Key
Question 1.
Find and label the location of these numbers on the number line. It’s OK to add more marks to the line if you need to.
Answer:
Explanation:
Given from the above data numbers located on number line.
Question 2.
Use the symbols >, = and < to compare each pair of decimal numbers.
94.598 
94.643 94.510 94.051 94.509 94.590
Answer:
94.598 < 94.643; 94.510 > 94.051; 94.509 < 94.590 ,
Explanation:
Given that from above pair of decimals that is check the place values after the decimal point and use the symbol whether >,< and hence compared the pair of decimal numbers .
Question 3.
When the odometer of a car reads 35,467.219, the 5 stands for 5 v 1,000 miles. Use expanded form to show what each of the other digits in the odometer reading means.
a. The 3 in 35,467.219 means ______ × ______ miles.
Answer:
The 3 in 35,467.219 means 3 X 10,000 miles ,
Explanation:
The 3 is in ten thousand digits place so 3 X 10,000 miles .
b. The 4 in 35,467.219 means ____ × ____ miles.
Answer:
The 4 in 35,467.219 means 4 X 100 miles ,
Explanation:
The 4 is in hundreds digit place so 4 X 100 miles .
c. The 6 in 35,467.219 means ___ × ____ miles.
Answer:
The 6 in 35,467.219 means 6 X 10 miles ,
Explanation:
The 6 is in tens digit place so, 6 X 10 miles .
d. The 7 in 35,467.219 means ___ × ___ miles.
Answer:
The 7 in 35,467.219 means 7 X 1 miles,
Explanation:
The 7 is in ones digit place so 7 X 1 miles.
e. The 2 in 35,467.219 means ____ × ____ of a mile.
Answer:
The 2 in 35,467.219 means 2 X 0.1 of a mile ,
Explanation:
The 2 is in one-tenths digit place that is 1/10 = 0.1, so 2 X 0.1 of a mile .
f. The 1 in 35,467.219 means ____ × ____ of a mile.
Answer:
The 1 in 35,467.219 means 1 X 0.01 of a mile ,
Explanation:
The 1 is in one – hundredths digit place that is 1/100 = 0.01 so 1 X 0.01 of a mile.
g. The 9 in 35,467.219 means ___ × ____ of a mile.
Answer:
The 9 in 35,467.219 means 9 X 0.001 of a mile,
Explanation:
The 9 is in one-thousandths digit place that is 1/1000 = 0.001 so 9 X 0.001 of a mile.
Question 4.
This whole grid is worth 1. Write at least 3 different fraction decimal numbers to name the part that is shaded.
Answer:
The three different fraction decimal numbers are 0.80 , 0.8, 0.80000 ,
Explanation:
Given from the above grid total parts are 100 and number of parts filled are 80 so 80/100 = 8/10 = 4/5 so, the three different fraction decimal numbers are 0.80 = 0.8 = 0.8000.
Question 5.
Here is a chart showing the amount of rain that fell in Bookerville over the last four days.
Bookerville has a record of 12 inches of rain in 5 days. How much will it have to rain on Friday to beat the record by one-tenth of an inch? Show all of your work below.
Answer:
2.7 inches of rain have on Friday by Bookerville,
Explanation:
Given from above chart the total amount of rain fall in Bookerville are 1.35 in + 2.50 in + 3.06 in + 2.49 in = 9.40 inches so given record of rain on Friday to beat record of one-tenth of an inch is 12.1 inch so subtract total rain in 5 days from beat the record by one – tenth of rain on Friday is 12.1 inches – 9.40 inches = 2.7 inches.
Question 6.
Mr. Mugwump is still confused about fractions. Use numbers, words, or labeled sketches to show him why \(\frac{1}{2}\) + \(\frac{1}{3}\) does not equal \(\frac{2}{5}\).
Answer:
Yes \(\frac{1}{2}\) + \(\frac{1}{3}\) # \(\frac{2}{5}\),
Explanation:
Given from above fractions
Question 7.
CHALLENGE Sasha has 1 kilogram of grapes. She gives 763 grams of grapes to her sister, Kari. Kari then shares 598 grams with their twin brothers. The twins divide their grams of grapes evenly. How many grams of grapes does each sibling have?
Answer:
Kari has 165 g of grapes and twin brothers have 299 g each ,
Explanation:
Given that total grapes are 1kg that is 1.000 g, grams of grapes gave to her sister is 763 g so grams of grapes left with Sasha is 1.000g – 763g = 237g and grams of grapes shared by Kari with twin brothers are 598 g so 763 g – 598g = 165g so, 598g of grapes are divided by twin brothers evenly are 598/2 = 299 g so, each siblings have grapes are Kari have 165g ,twin brothers have 299 g each.