Unit 8 Fractions

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Unit 8Fractions

• Mr. Brumfield
• Lawnton Elementary School

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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

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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?
4
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?

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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?

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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?

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Math Message

• Turn to page 182 of your math journal. Do
  problems 1 through 5 only.

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What do we know about Fractions?
What I Know
What I Learned Today
What I Want to Know
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What is a Fraction? Online Resource
http//www.kidsolr.com/common/images/fractions.swf

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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
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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
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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
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Math Journal Page 182
Each whole figure represents ONE. Write a
fraction that names each region or area inside
the figure.
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Challenge
Each whole figure represents ONE. Write a
fraction that names each region or area inside
the figure.
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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.
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Internet Enrichment

• Bowling for Fractions

http//www.harcourtschool.com/activity/bowling_for
_fractions/
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Math Boxes

• Complete the math boxes on page 184.

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8.2 Exploring Fractions

• Our goal is to use and explore fractions.

How do we use fractions?
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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.

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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
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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.
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Combinations Mini-Lesson
Link to Smart Notebook
What is a combination?
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Independent Combination Practice

• Use math journal pages 188 and 189 to practice
  finding combinations.
• You may use math masters page 129 to help you.

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Math Boxes

• Complete the math boxes on page 190.

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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?
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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.

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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?
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Math Message Follow Up

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

Link to Smart Notebook
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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
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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?

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Solving Frames and Arrows Problems
Rule 1/8 More
3 8
4 8
8
8
7 8
Rule -1/6
5 6


1 6

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Solving Frames and Arrows Problems
Rule
50
40
10
35

Rule
What are the two missing rules?
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Math Boxes

• Complete the math boxes on page 192.

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8.4 Equivalent Fractions

• Our goal is to find equivalent fractions.

What is an equivalent fraction?
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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?

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Math Message

• Take an envelope. Cut apart the Fraction Cards
  on activity sheets at the back of the journal.
  Put them in your envelope.

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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

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Equivalent Fraction Online Resource
http//www.visualfractions.com/HigherCircle.html
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Equivalent Fractions Chart
1 2
1 3
1 4
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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.

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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
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Independent Practice

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

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8.5 Comparing Fractions

• Our goal is to compare fractions using models.

How does this picture represent comparison?
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Mental Math Calisthenics

• Jumping Jacks Counting by 3s, jump until you
  reach 3x1030.
• Push-Ups Counting by 6s, push until you reach
  6x1060.

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Mental Math Continued

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

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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?

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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?

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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?

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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?

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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?

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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?

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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.

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Independent Practice

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

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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?
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• 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?
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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?
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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?

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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?
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Practice Naming Mixed Numbers and Fractions
Fraction
Mixed Number
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Practice Naming Mixed Numbers and Fractions
Fraction
Mixed Number
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Practice Naming Mixed Numbers and Fractions
Fraction
Mixed Number
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Smart Board Practice
Smart Notebook Link
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More Than One Practice

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

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Independent Practice

• Complete the math boxes on page 203.

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Mixed Number Online Resource

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

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8.7 Fractions In Number Stories

• Our goal is to solve number stories involving
  fractions.

How do we use fractions?
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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!

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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?

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Math Message Follow Up
1 2
1
Find and label 1 ¾ inches Label each ¼ inch from
0 to 1 3/4
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Comparing Fractions Enrichment
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Fraction Number Stories
Link to Smart Notebook Activity
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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.

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8.8 Review and Assessment

• Our goal is to review and practice using
  fractions.

Why and how do we use fractions?
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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.

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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.

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Fraction Stories

• Manuel had a bag of 12 marbles. He lost ¼ of the
  marbles. How many marbles did he lose?

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Fraction Stories

• Norice gave her sister half of her 10-ounce
  bottle of fruit punch. How many ounces did she
  give her sister?

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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?

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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.

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• 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

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Time for the Test!