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Unit 8 Fractions

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If a whole pizza is eight pieces, what fraction of the pizza has been eaten? ... I gave 1/3 to Juan and to Moira.' Explain how Hank made a mistake. ... – PowerPoint PPT presentation

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Title: Unit 8 Fractions


1
Unit 8Fractions
  • Mr. Brumfield
  • Lawnton Elementary School

2
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

3
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?

5
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?

6
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?

7
Math Message
  • Turn to page 182 of your math journal. Do
    problems 1 through 5 only.

8
What do we know about Fractions?
What I Know
What I Learned Today
What I Want to Know
9
What is a Fraction? Online Resource
http//www.kidsolr.com/common/images/fractions.swf

10
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
11
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
12
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
13
Math Journal Page 182
Each whole figure represents ONE. Write a
fraction that names each region or area inside
the figure.
14
Challenge
Each whole figure represents ONE. Write a
fraction that names each region or area inside
the figure.
15
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.
16
Internet Enrichment
  • Bowling for Fractions

http//www.harcourtschool.com/activity/bowling_for
_fractions/
17
Math Boxes
  • Complete the math boxes on page 184.

18
8.2 Exploring Fractions
  • Our goal is to use and explore fractions.

How do we use fractions?
19
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.

20
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
21
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.
22
Combinations Mini-Lesson
Link to Smart Notebook
What is a combination?
23
Independent Combination Practice
  • Use math journal pages 188 and 189 to practice
    finding combinations.
  • You may use math masters page 129 to help you.

24
Math Boxes
  • Complete the math boxes on page 190.

25
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?
26
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.

27
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?
28
Math Message Follow Up
  • 20 marbles
  • ¼ are blue, 1/5 are yellow

Link to Smart Notebook
29
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
30
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?

31
Solving Frames and Arrows Problems
Rule 1/8 More
3 8
4 8
8
8
7 8
Rule -1/6
5 6


1 6

32
Solving Frames and Arrows Problems
Rule
50
40
10
35

Rule
What are the two missing rules?
33
Math Boxes
  • Complete the math boxes on page 192.

34
8.4 Equivalent Fractions
  • Our goal is to find equivalent fractions.

What is an equivalent fraction?
35
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?

36
Math Message
  • Take an envelope. Cut apart the Fraction Cards
    on activity sheets at the back of the journal.
    Put them in your envelope.

37
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

38
Equivalent Fraction Online Resource
http//www.visualfractions.com/HigherCircle.html
39
Equivalent Fractions Chart
1 2
1 3
1 4
40
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.

41
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
42
Independent Practice
  • Complete the fraction sets on page 194.
  • Also, complete the math boxes on page 190.

43
8.5 Comparing Fractions
  • Our goal is to compare fractions using models.

How does this picture represent comparison?
44
Mental Math Calisthenics
  • Jumping Jacks Counting by 3s, jump until you
    reach 3x1030.
  • Push-Ups Counting by 6s, push until you reach
    6x1060.

45
Mental Math Continued
  • 3 (30s)
  • 30 (30s)
  • 300 (30s)
  • 50 (4s)
  • 50 (40s)
  • 500 (40s)
  • 7 (60s)
  • 70 (60s)
  • 700 (60s)

46
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?

47
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?

48
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?

49
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?

50
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?

51
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?

52
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.

53
Independent Practice
  • Color the Fraction Cat on page 196.
  • Also, complete the math boxes on page 197.

54
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?
55
  • 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?
56
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?
57
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?

58
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?
59
Practice Naming Mixed Numbers and Fractions
Fraction
Mixed Number
60
Practice Naming Mixed Numbers and Fractions
Fraction
Mixed Number
61
Practice Naming Mixed Numbers and Fractions
Fraction
Mixed Number
62
Smart Board Practice
Smart Notebook Link
63
More Than One Practice
  • Turn to math journal pages 198 and 199.
  • We will practice naming fractions greater than
    one.

64
Independent Practice
  • Complete the math boxes on page 203.

65
Mixed Number Online Resource
  • http//www.visualfractions.com/MixtoFrCircle.html

66
8.7 Fractions In Number Stories
  • Our goal is to solve number stories involving
    fractions.

How do we use fractions?
67
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!

68
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?

69
Math Message Follow Up
1 2
1
Find and label 1 ¾ inches Label each ¼ inch from
0 to 1 3/4
70
Comparing Fractions Enrichment
71
Fraction Number Stories
Link to Smart Notebook Activity
72
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.

73
8.8 Review and Assessment
  • Our goal is to review and practice using
    fractions.

Why and how do we use fractions?
74
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.

75
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.

76
Fraction Stories
  • Manuel had a bag of 12 marbles. He lost ¼ of the
    marbles. How many marbles did he lose?

77
Fraction Stories
  • Norice gave her sister half of her 10-ounce
    bottle of fruit punch. How many ounces did she
    give her sister?

78
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?

79
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.

80
  • 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

81
Time for the Test!
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