Transcript Document

Unit 5: Fractions, Decimals
and Percents
Fraction Review (5-1)
1/2
1 = Numerator =
Denominator =
=
2
The number of parts you are using
The number of equal parts into
which the whole is divided
Parts to Whole Fraction Practice
Draw a picture to show how you solved each of the problems.
What is 4 of 35?
7
5
55
5
What is 3 of 48?
4
What is 2 of 81?
9
99
What is 5 of 60?
6
A set has 16 counters.
What fraction of the set is black?
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If 24 counters are the whole set how
Many counters are 1 of a set?
4
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If 20 counters are the whole set,
What fraction of the set is black?
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If 25 counters are a whole, how
Many counters make 4?
5
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If 6 counters are a whole set,
how many counters are in on and
one-half sets?
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...
...
...
If 20 counters are 5 of a set, how
6
many counters are in the whole set?
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If 9 counters are 3 of a set, how
4
many counters are in the whole set?
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If 4 counters are 1 of a set, how
3
Many counters are in one and
two-thirds sets?
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If 24 counters are 3 of a set, how many counters are in the whole set?
If 36 counters are 3 of a set, how many counters are in the whole set?
5
If 42 counters are 2 of a set, how many counters are in the whole set?
Classwork
• Complete journal page 121-122
If time:
• Math Box 5-1 (page 123)
Fractions Greater then One (5-2)
Improper Fractions – Fractions that are equal to
or greater than 1
Mixed Numbers - A number that is written using both
a whole number and a fraction.
Hexagon = whole
Trapezoid =
Rhombus =
Equilateral Triangle =
Practice Problems:
Improper Fraction
Mixed Number
Improper Fraction
Mixed Number
Classwork
• Complete journal page 124-126
If time:
• Math Box 5-2 (page 128)
Mixed Number to Improper Fraction (5-2 follow up)
The short cut - multiply the denominator and whole number,
then add the numerator
3
1
2
7
3
8
4
3
4
10
4
5
1
1
3
8
3
7
Comparing and Ordering Fractions (5-3)
Show example of how to complete:
Journal page130 fraction stick chart
Journal page 131 - 132 adding with stick chart
Classwork
Finish journal page 130-122
If time:
Math Box 5-3 (page 133)
Equivalent Fractions (5-4)
Fractions that name the same part of a whole but have different denominators.
Two ways to find equivalent fractions:
Multiplication
Division
2
3
12
36
4
5
18
20
1
7
8
24
4
16
11 =
9
3
= 10
2
10
= 15
5
20
8 =
__
4
18 = 9
11
__
12 = 60
27
9
33 =
__
36
10 = 40
6
36
= 24
Are they equivalent (equal):
2
8
3
6
10
40
16
24
1
4
2
8
1
9
6
45
Match the fraction on the left with an equivalent fraction on the right.
12
16
9
15
3
5
18
27
2
3
3
4
24
36
2
3
Classwork
• Complete journal page 134-125
If time:
• Math Box 5-4 (page 136)
Part 1 - Fractions to Decimals (5-5)
Change the denominator to 10ths or 100ths and the fraction says it's decimal name.
9
10
4
5
9
25
=
=
=
63
100
11
50
7
20
=
=
=
1
2
3
4
=
=
Write each number below as a decimal.
Then locate the decimal on the number line.
27 =
100
12 =
25
3 =
5
1 =
4
33 =
50
11 =
20
0.1 0.2 0.3 0.4 0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
Classwork
• Complete journal page 138
If time:
• Math Box 5-5 (page 141)
Part 2 - Fractions to Decimals: long division (5-6)
When the denominator can’t be changed to 10ths or 100ths
you must use long division to convert the fraction to a decimal.
It will help if you can memorize these fraction to decimal conversions
1
2
1
3
=
=
1
4
=
1
10
1
5
=
1
8
=
=
1
6
=
Practice: Write each fraction as a decimal
4
10
9
12
5
8
2
3
4
5
5
6
Simplify Fractions
To simplify a fraction divide both the numerator and denominator until you can't go any
further. If you find the greatest common factor (GCF) you can solve it in one step.
24
48
15
18
20
25
21
33
14
21
24
27
21
24
36
40
20
36
2
8
28
48
4
16
Simplify the following fractions.
3
15
18
32
Write the fraction as a decimal.
1
5
3
8
8
20
6
10
24
36
Part 3 -Fractions to Decimals: using a calculator (5-7)
Objectives:
Review division keys on calculator (÷ and int÷)
How to write a repeating decimal(p.145)
Arrange the decimals in order from least to greatest
0.13
0.2
0.68
0.039 0.1
0.04
0.6
Arrange the decimals in order from greatest to least
0.22
0.2
0.002
0.02
0.12
0.03
0.1
Write a decimal between each pair of numbers
3 and 4
0.2 and 0.3
0.4
0.05
and 0.6
and 0.04
Classwork
• Complete journal page 145
If time:
• Math Box 5-7 (page 146)
Fractions to Percents (5-8)
Percent means out of 100
To change a fraction to an equivalent percent first rename the fraction as a
decimal and then multiplying the result by 100.
Fraction
4
10
13
20
4
7
Decimal
Percent
Example 1: Rebecca scored 80% on a test.
If the test had 100 questions, Rebecca answered how many questions correctly?
________________
If the test had 50 questions, Rebecca answered how many questions correctly?
________________
If the test had 10 questions, Rebecca answered how many questions correctly?
________________
If the test had 200 questions, Rebecca answered how many questions correctly?
________________
Example 2: Emily spent 18% of the money she earned babysitting
last summer on school clothes.
How much did Emily spend if she earned $100? ______________
How much did Emily spend if she earned $200? ______________
How much did Emily spend if she earned $400? ______________
How much did Emily spend if she earned $50? ______________
Example 3: Tom got 70% of the questions correct on a music test.
If he got 7 questions correct, how many questions were on the test? ______________
If he got 14 questions correct, how many questions were on the test? ______________
If he got 35 questions correct, how many questions were on the test? ______________
If there were only 50 questions on the test, how many questions did he get correct? _______
Classwork
• Complete journal page 147
Add problem #5: place five fractions in order from greatest
to least
• Journal page 148
If time:
• Math Box 5-8 (page 149)
Review the properties of bar graphs and circle graphs (5-9)
Classwork
• Complete journal page 151
If time:
• Math Box 5-9 (page 152)
Reading circle graphs (5-10)
Classwork
• Complete journal page 153-154
If time:
• Math Box 5-10 (page 156)
Making circle graphs (5-11)
Classwork
• Complete journal page 157-158
If time:
• Math Box 5-11 (page 159)