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Unit 8Fractions

- Mr. Brumfield
- Lawnton Elementary School

Table of Contents

- 8.1 Naming Parts with Fractions
- 8.2 Exploring Fractions
- 8.3 Number-Line Posters for Fractions
- 8.4 Equivalent Fractions
- 8.5 Comparing Fractions
- 8.6 Fractions Greater Than ONE
- 8.7 Fractions in Number Stories
- 8.8 Unit Review and Assessment

8.1 Naming Parts with Fractions

- Our goal is to use fractions to name parts of a

whole.

If a whole pizza is eight pieces, what fraction

of the pizza has been eaten?

What fraction of the pizza remains?

Why do we use fractions?

Mental Math and Reflexes

- A sloth sleeps about 20 hours per day.
- About how many hours is that per week?
- About how many hours is it awake per week?

Mental Math and Reflexes

- A whale weighs about 50 tons.
- About how much do six whales weigh?
- If one ton equals 2,000 pounds, how many pounds

do six whales weigh?

Mental Math and Reflexes

- A nine-year olds heart beats about 90 times per

minute. - About how many times does it beat in 5 minutes?
- About how many times does it beat per hour?

Math Message

- Turn to page 182 of your math journal. Do

problems 1 through 5 only.

What do we know about Fractions?

What I Know

What I Learned Today

What I Want to Know

What is a Fraction? Online Resource

http//www.kidsolr.com/common/images/fractions.swf

Math Message Review

1. Draw an X through 2/3 of the circles

2. Label each picture with one of the following

numbers 0 0/4 ¼ ½ 2/4 ¾

Fractions

Writing fractions is one way of showing equal

parts of a whole.

1

Numerator

2

Denominator

Numerator

Names the number of equal parts being used or

considered

Denominator

Names the number of equal parts that make up the

whole

Fraction Practice

- Name the shaded fraction of the given groups.
- Name the unshaded fraction of the given groups.

Fraction of Shaded

Fraction of Unshaded

Fraction of Shaded

Fraction of Unshaded

Fraction of Shaded

Fraction of Unshaded

Math Journal Page 182

Each whole figure represents ONE. Write a

fraction that names each region or area inside

the figure.

Challenge

Each whole figure represents ONE. Write a

fraction that names each region or area inside

the figure.

Partner Work with Counters

You will be working in partners to complete math

journal page 183. You will use twenty-five

counters to solve these problems.

Internet Enrichment

- Bowling for Fractions

http//www.harcourtschool.com/activity/bowling_for

_fractions/

Math Boxes

- Complete the math boxes on page 184.

8.2 Exploring Fractions

- Our goal is to use and explore fractions.

How do we use fractions?

Mental Math

- Write thirty-two thousandths.
- Underline the digit in the tenths place.
- Write five hundredths.
- Circle the digit in the tenths place.
- Write four hundred six thousandths.
- Circle the digit in the thousandths place.
- Write two and nine tenths.
- Put an X through the digit in the tenths.

Math Message

- Hank said, I shared 24 pieces of candy with my

friends. I gave ½ of the candy to Kim. I gave 1/3

to Juan and ¼ to Moira. - Explain how Hank made a mistake.

Link to Smart Notebook Activity

Math Journal Page 185

Name of Shape

Name of Shape

Name of Shape

What fraction of each shape is one green triangle?

Work with a partner and use the pattern blocks to

complete math journal pages 185-187.

Combinations Mini-Lesson

Link to Smart Notebook

What is a combination?

Independent Combination Practice

- Use math journal pages 188 and 189 to practice

finding combinations. - You may use math masters page 129 to help you.

Math Boxes

- Complete the math boxes on page 190.

8.3 Number-Line Posters as Fractions

- Our goal is to use the number line to make and

find fractions.

How do we use fractions?

Mental Math

- Write three hundred forty-five thousand seven

hundred twenty-one - Circle the thousands digit
- Put an X through the tens
- Underline the hundred-thousands digit
- Write nine hundred three thousand fifty-two
- Circle the thousands digit
- Put an X through the hundreds digit
- Underline the ten-thousands digit
- Write seventy-eight thousand four hundred

thirteen - Circle the ten-thousands digit
- Put an X through the hundreds digit
- Underline the thousands digit.

Math Message

- Take a copy of math masters, page 130. Cut it on

the dashed lines. Make 7 strips. Then, solve this

problem - Jonah sorted 20 marbles by color. He found that

¼ of them were blue and 1/5 were yellow. Does he

have more blue marbles or more yellow marble?

Draw a picture to help you. What mathematics

operation is similar to this problem?

Math Message Follow Up

- 20 marbles
- ¼ are blue, 1/5 are yellow

Link to Smart Notebook

Fraction Number Line Poster

- We will be gluing or taping our fraction lines

to the poster on math journal page 191. You will

need to attach the line exactly over the strips

on the journal pages.

1 Whole

Halves

Fourths

Eighths

Thirds

Sixths

Reviewing Fraction Concepts

- Except for halves, fraction words such as third,

fourth, sixth, and eighth suggest the number of

equal parts. - What are the fraction words for five equal parts?
- What are the fraction words for ten equal parts?
- What do the denominators (under the fraction bar)

tell us? - What do the numerators (above the fraction bar)

tell us? - What does the fraction ¾ tell represent?
- What does the fraction 0/4 represent?
- What does the fraction 8/8 represent?

Solving Frames and Arrows Problems

Rule 1/8 More

3 8

4 8

8

8

7 8

Rule -1/6

5 6

1 6

Solving Frames and Arrows Problems

Rule

50

40

10

35

Rule

What are the two missing rules?

Math Boxes

- Complete the math boxes on page 192.

8.4 Equivalent Fractions

- Our goal is to find equivalent fractions.

What is an equivalent fraction?

Mental Math

Identify the clue word for each problem, and be

ready to explain how you solve the problem.

- There are 36 children in the class. They sit in

rows of 4. How many rows of 4 are there? - 7 friends share 45 souvenir pins from a field

trip. How many pins does each friend get? - A table of 8 children must share 1 box of 64

crayons. How many crayons would each child get if

they share equally? - Eight children share 72 pennies. How many per

child? - 5 children share 55 strawberries equally. How

many does each child receive?

Math Message

- Take an envelope. Cut apart the Fraction Cards

on activity sheets at the back of the journal.

Put them in your envelope.

Using Fraction Cards

- Each fraction card represents ONE.
- They are all the same size.
- The number of strips and shading is different

and the shaded fractional part is named on the

back. - Find cards with matching fractional parts. These

different fractions, which show the same amount

of the whole, are called - Equivalent Fractions

Equivalent Fraction Online Resource

http//www.visualfractions.com/HigherCircle.html

Equivalent Fractions Chart

1 2

1 3

1 4

Partner Practice

- Work with your partner and your fraction cards

to complete math journal page 193. You are

looking for equivalent fractions to complete the

chart.

Online Enrichment

- Naming Equivalent Fractions
- Matching Equivalent Fractions

http//www.tv411.org/mathgames/fractions1.html

http//www.hbschool.com/activity/con_math/g04c20.h

tml

Independent Practice

- Complete the fraction sets on page 194.
- Also, complete the math boxes on page 190.

8.5 Comparing Fractions

- Our goal is to compare fractions using models.

How does this picture represent comparison?

Mental Math Calisthenics

- Jumping Jacks Counting by 3s, jump until you

reach 3x1030. - Push-Ups Counting by 6s, push until you reach

6x1060.

Mental Math Continued

- 3 (30s)
- 30 (30s)
- 300 (30s)
- 50 (4s)
- 50 (40s)
- 500 (40s)
- 7 (60s)
- 70 (60s)
- 700 (60s)

Math Message

- Take out your fraction cards. Turn them so the

picture sides (sides with the shaded parts) are

face up. Find all the fractions that have 1 in

the numerator. Put them in order, from the card

with the smallest part shaded, to the card with

the largest part shaded. - What do you notice?

Comparing Fractions

¼ ½ 2/10 10/12 4/8 4/5

3/9 2/2 2/3

- Use the ½ card to help you find all of the cards

that are less than half-shaded. - Name those fractions
- Compare each cards numerator and denominator.

What do you notice?

Comparing Fractions

¼ ½ 2/10 10/12 4/8 4/5

3/9 2/2 2/3

- Use the ½ card to help you find all of the cards

that are more than half-shaded. - Name those fractions
- Compare each cards numerator and denominator.

What do you notice?

Comparing Fractions

¼ ½ 2/10 10/12 4/8 4/5

3/9 2/2 2/3

- Use the ½ card to help you find all of the cards

that are exactly half-shaded. - Name those fractions
- Compare each cards numerator and denominator.

What do you notice?

Comparing Fractions

¼ ¾ 1/5 4/5 1/6 5/6 2/10 8/10 2/12 10/12

- Find all of the cards that are more than ¾ of

the way shaded. - Name those fractions
- Compare each cards numerator and denominator.

What do you notice?

Comparing Fractions

¼ ¾ 1/5 4/5 1/6 5/6 2/10 8/10 2/12 10/12

- Find all of the cards that show less than ¼

shaded. - Name those fractions
- Compare each cards numerator and denominator.

What do you notice?

Lets Play A Math Game!

- Locate the directions for the game Fraction

Top-It in your student reference book. - After reviewing the directions, we will play a

game that compares fractions.

Independent Practice

- Color the Fraction Cat on page 196.
- Also, complete the math boxes on page 197.

8.6 Fractions Greater Than One

- Our goal is to name amounts greater than 1,

using fractions and mixed numbers.

What is a mixed number?

- Twenty-seven hundredths or sixty-seven hundredths
- Five tenths or five hundredths
- Three and six tenths or three and sixteen

hundredths - Seventy-two hundredths or nine tenths
- Forty and eighty-three hundredths or forty-eight

M E N T A L M A T H

Which is Greater?

Math Message

- Cut out the 4 Circles (Math masters 132)
- How would you answer the following problems?

Emily had three apples. She cut one in half and

ate one of the halves. How many apples were left?

Then she cut each of the other whole apples in

half. She gave all of the half-apples to her

friends. How many half-apples did she give away?

Naming Fractional Parts More Than One

- Take out two of the circles and fold them each

in half. Label each half, ½. Then cut them out. - How would you write a fraction that names three

halves? - How is that different than the apple fractions

we have used?

Mixed Numbers

- When you show a quantity or amount using both

a whole number and a fraction, you have used a

mixed number.

List some examples of mixed numbers

When are some times when we use mixed

numbers?

Practice Naming Mixed Numbers and Fractions

Fraction

Mixed Number

Practice Naming Mixed Numbers and Fractions

Fraction

Mixed Number

Practice Naming Mixed Numbers and Fractions

Fraction

Mixed Number

Smart Board Practice

Smart Notebook Link

More Than One Practice

- Turn to math journal pages 198 and 199.
- We will practice naming fractions greater than

one.

Independent Practice

- Complete the math boxes on page 203.

Mixed Number Online Resource

- http//www.visualfractions.com/MixtoFrCircle.html

8.7 Fractions In Number Stories

- Our goal is to solve number stories involving

fractions.

How do we use fractions?

Mental Math Timed Multiplication

- You will have 90 seconds to complete math

masters 134, a timed test. - The point is to know the products, not figure

them out. - By seeing how many you can solve, you know how

much practice you need!

Math Message

- With your ruler, draw a line segment that is 1 ¾

inches long. - Divide the line segment into ¼ inch segments.
- How many ¼ inch segments are there in 1 ¾ inches?

Math Message Follow Up

1 2

1

Find and label 1 ¾ inches Label each ¼ inch from

0 to 1 3/4

Comparing Fractions Enrichment

Fraction Number Stories

Link to Smart Notebook Activity

Independent Fraction Practice

- Complete the fraction number stories on math

journal page 201. - When you have finished, you will complete math

journal page 202 with a partner.

8.8 Review and Assessment

- Our goal is to review and practice using

fractions.

Why and how do we use fractions?

Math Message

- Frank earned 1 for washing dishes all week. He

spent 75 cents on his favorite candy bar. Frank

told his mom that he spent 75/1 of his money on

candy. Explain Franks mistake.

Show What You Know!

¾ 1/3 4/8 9/12 5/10 2/5

- Compare each fraction to ½
- Give me a thumbs up if it is greater
- Give me a thumb downs for less
- and your thumb tucked in for equal.

Fraction Stories

- Manuel had a bag of 12 marbles. He lost ¼ of the

marbles. How many marbles did he lose?

Fraction Stories

- Norice gave her sister half of her 10-ounce

bottle of fruit punch. How many ounces did she

give her sister?

Fraction Stories

- Linda had five friends over for pizza. The 6 of

them shared one pizza equally. What fraction of

the pizza did each person eat?

Fraction Stories

- Raymond played in a baseball game on Saturday.

He batted once in each of 9 innings. Five times

he struck out, the other times he got a hit. How

many times in the game did Raymond hit the ball? - Show the fraction.

- 7 boxes of crayons. 8 crayons per box
- 5 flowers. 9 petals on each flower
- 64 jelly beans shared equally by 8 children
- 75 pennies shared equally by 9 children

Time for the Test!