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CHAPTER 13 FRACTIONS 4TH GRADE

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**How much of the pie is shaded? How much of the pie is not shaded?**

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**What are the denominators? What are the numerators?**

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What is equivalent to ½?

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**Which are equivalent to 1/3?**

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**Fill in each box with the correct number for the shaded portion.**

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**How much cake did the kids eat?**

How much cake is left?

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**Shade the correct parts to show the equivalent fraction.**

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**What is the denominator?**

What is the numerator? What is the percent?

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**What is the denominator?**

What is the numerator? What is the percent? = +

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**What is the denominator?**

What is the numerator? What is the percent? + =

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**What is the denominator?**

What is the numerator? What is the percent? - =

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**What is the denominator?**

What is the numerator? What is the percent? - =

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**Write an equivalent fraction.**

1/3 1/2 3/4 4/6 2/5 6/8 1/4 2/3 7/12 3/5

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**Write an equivalent fraction.**

4/8 5/9 3/5 2/5 3/8 7/21 9/27 8/16 1/18 6/11

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**ESTIMATING FRACTIONAL PARTS **

About what fraction of this square is orange? What percent is orange? = %

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**ESTIMATING FRACTIONAL PARTS **

About what fraction of this square is blue? What percent is blue? = %

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**Estimate the fractional part of each that is green.**

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**What fractional part is red?**

= %

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**What fractional part is yellow?**

= %

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**What fractional part is red**

and yellow? = %

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**What fractional part is green**

and violet ? = %

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**What fractional part is shaded? What percentage is shaded?**

Reduce it. = %

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**Asia has more people than any other continent**

Asia has more people than any other continent. About what fraction of people on Earth live in Asia? ASIA N.A. S.A. A AFRICA EURO

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**Chris Camron Bradon Lexie**

Look at the bar graph below. Which student has about 1/3 as many CDs as Bradon? Chris Camron Bradon Lexie

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If more than half of the garden is planted with corn, it is possible to estimate that 2/3 is planted with beans?

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**A bowling alley has 32 bowling balls. Eight are blue, 5 are pink, **

6 are red and the rest are black. How many are black?

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**Estimate the fractional part that is decorated.**

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FACTORS as FRACTIONS 10 = 1 x 10 or 10 = 10 x 1

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FACTORS as FRACTIONS 10 = 1 x = 10 x 1 or 10 = 2 x or = 5 x 2

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**Write the product of each number in TWO different ways.**

36 42 12 64 20 28 8 25 45 30 99

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**Find all the factors of each number.**

6 32 17 9 11 25 13 22 15 30 14 18 27 40 21 4 35 7 19 8

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**She gets 2 more blouses for her birthday. What are all of the **

Destiny had 16 blouses. She gets 2 more blouses for her birthday. What are all of the different equal groupings she can make now?

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**As part of her science project, Darla is making a model of a **

wind farm. She wants to put turbines in her model. What are all the ways she can arrange 24 turbines?

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**pictures on her science board. Describe every possible array**

Desie wants to put 15 pictures on her science board. Describe every possible array she can make.

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**factor also has 3 as a factor. WHY? Can you think of some other **

Any number that has 9 as a factor also has 3 as a factor. WHY? Can you think of some other numbers that share factors?

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**The largest volcano on Earth is Mauna Loa, located in Hawaii. **

It is 30,080 feet tall from the sea floor to its highest point. If 13,680 feet of the volcano is above sea level, how many feet are below sea level?

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**active volcanoes on Earth erupt**

About 50 out of 1,500 possible active volcanoes on Earth erupt every year. What are the factors of 50?

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**On a large wind farm, there are rows of 15 wind turbines each **

and 4 rows of 11 wind turbines each. How many wind turbines are there on the wind farm in all?

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**If 1 foot equals 12 inches, how many inches long is the manatee?**

A manatee is 12 feet long. If 1 foot equals 12 inches, how many inches long is the manatee?

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**How can you find multiples How many trips will it make in 1 hour?**

of a number? It takes 8 minutes for a car on the roller coaster to make the complete trip. How many trips will it make in 1 hour?

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**Write 5 multiples of each number.**

100 3 9 10 14 7 1 4 12 25 45 6 27 5 11 8 13 20 50 2

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**LOOK carefully. Is the first number a multiple of the second?**

44, 6 27, 3 30, 6 54, 9 28, 3 45, 5 64, 7 48, 8 33, 11 24, 8 35, 8 63, 7 88, 4 13, 13 62, 6 72, 9 46, 5 39, 3 28, 2 32, 2

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**Campfire and Sing-a-long**

Family Reunion Which activities are scheduled to last more than 1 hour and 30 minutes? _______________ Lidia’s family arrived at the reunion at 8:30 a.m. How long do they have before the trip to the lake? ______________ Take Lake Tour 10:15 a.m. – 2:30 p.m. Slide Show 4:15 p.m. – 5:10 p.m. Dinner 5:30 p.m. – 7:00 p.m. Campfire and Sing-a-long 7:55 pm. To 9:30 p.m.

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**Holly’s family went apple picking. They picked 5 bags of red **

apples and I bag of green apples. Write a fraction to represent the part of the bags containing green apples.

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**Create a Venn diagram to show all multiples of 3 and all multiples of 4.**

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**Dividing to Find Equivalent Fractions**

James ate 6/8 of a small pizza. Which fraction is equal to 6/8?

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**Find equivalent fractions for 4/10 _______ **

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**You can multiply the numerator and the denominator by the same number to find an equivalent fraction**

= = 1 2 X 2 X 2 X 2 4 8 X 2 X 2 X 2

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**400 You can divide the numerator and the denominator by the same**

number to find an equivalent fraction. = = = 200 Div 2 Div 10 400 Div 10 Div 2

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**Multiply or Divide to find the equivalent fractions.**

4 9 15 10 5 7 2 20 30 40 12 8 24 3 1 6

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**Julia ordered 12 pizzas for the class party. Each pizza was cut**

into 8 slices. Each of the 24 students ate 4 slices. What fraction of the pizzas was left after the party? Can the fraction be reduced?

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**In the school poetry contest, 14 of the 50 students that entered **

will receive a prize. Half of the remaining students receive a certificate. How many students will receive a certificate?

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**Two fifths of all states in the United States start with the **

letters M, A, or N. How can you use equivalent fractions to find out how many states start with these letters?

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**Look at the model. Name three equivalent fractions for the part of the circle that is turquoise.**

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**One way to show 1/3 is to use 12 cubes to show three groups **

of 4 cubes each or 4/12. Using 12 or fewer cubes, find 2 other fractions that are equivalent to 1/3.

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**Keira has 12 cubes. She uses all 12 cubes and separates them **

into 4 groups. Then she uses 8 cubes and separates them into groups. What fraction is Keira trying to make?

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**At the car wash, Gary washed 8 cars per hour and Sean washed **

7 cars per hour. How many cars did Gary wash if Sean washed 24 cars?

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**Jacob had 12 books. He showed 8/12 is equivalent to 2/3 by **

making three groups of 4 and drawing a circle around 2 of the groups. What is another fraction that is equivalent to 2/3?

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**Renee runs 3 miles each week. Linda runs 4 times as many **

miles each week. How many miles does Linda run each week?

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**Cathy had 24 quarters. She separated the quarters equally into 4 cups **

with 6 quarters in each cup. Show all ways that Cathy can separate the quarters into equal groups.

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**A store sells school supply packs that contain 12 pencils, and 4 **

pens. Sonya bought enough packs to get 36 pencils. How many pens did she receive?

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**Harry bought 6 DVDs on sale for $28. Who got the better deal?**

$48. Tyler bought 4 DVDs for $28. Who got the better deal?

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Put each fraction into simplest form. 6/8 15/27 10/20 16/18 12/14 21/24 12/30 3/12 2/10 4/8 12/16 4/6 2/5 8/20 5/15 4/12 9/16 7/14 12/18 15/35

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Vanessa ran 8/12 of the way around the field during P.E. class. Write this fraction in simplest form.

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**Shane and Morgan are starting a band. They have 5 other **

members that practice with them 2 hours each week. What fraction of the band are Shane and Morgan.

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**Each day pandas are awake for about 12 hours. They eat for **

of those 12 hours. What fraction of their awake time are pandas eating?

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**Write the factors for 8, 16, and**

20. What can you say about all multiples of 4?

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**Write all of the factors for 9. What can you say about all**

factors of 9?

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**Write all of the factors of 15.**

What can you say about these factors?

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**Look at each number sentences below. Compare the size of the **

factor to each product. What can you say about factors and products of whole numbers greater than 0? 8 x 7 = 56 5 x 46 = 230 1 x 873 = 873

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**A generalization is a general statement that you think is true.**

Look carefully to make generalizations. Generalize that all multiples of 5 end in either a 0 or a 5 in the ones place. 5 x 1 = 5 5 x 2 = 10 5 x 3 = 15 5 x 4 = 20 5 x 5 = 25

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**Look at the pattern below. Draw the shape that would**

come next.

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**Write at least five multiples of 10. What generalization can you **

make about all multiples of 10?

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**E F T C O S Look at each group of three letters below. Make a**

generalization for each group of letters that does not apply to the other group of three letters. E F T C O S

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**Emily’s dog weighs 43 pounds more than Joan’s dog. **

Together the dogs weigh 81 pounds. How much does each dog weigh?

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**William lives on the twenty- second floor of a 25-story **

building. If each floor is feet in height, how many feet above ground level is the floor of William’s apartment?

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