unit 5: fractions, decimals and percents. numerator denominator the number of parts you are using...
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Unit 5: Fractions, Decimals and Percents
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Numerator
Denominator
The number of parts you are using
The number of equal parts into which the whole is divided
12 =
=
=
=
1/2
Fraction Review (5-1)
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5 55 599
Parts to Whole Fraction Practice
Draw a picture to show how you solved each of the problems.
What is 4 of 35? 7
What is 2 of 81? 9
What is 3 of 48? 4
What is 5 of 60? 6
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A set has 16 counters. What fraction of the set is black?
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If 20 counters are the whole set, What fraction of the set is black?
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If 24 counters are the whole set howMany counters are 1 of a set?
4
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If 25 counters are a whole, howMany 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 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 20 counters are 5 of a set, how 6
many counters are in the whole set?
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If 24 counters are 3 of a set, how many counters are in the whole set? 8
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? 3
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Classwork
•Complete journal page 121-122
If time:
•Math Box 5-1 (page 123)
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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.
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Hexagon = whole
Trapezoid =
Rhombus =
Equilateral Triangle =
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Practice Problems:
Mixed NumberImproper Fraction
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Mixed NumberImproper Fraction
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Classwork
•Complete journal page 124-126
If time:
•Math Box 5-2 (page 128)
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Mixed Number to Improper Fraction (5-2 follow up)
The short cut - multiply the denominator and whole number, then add the numerator
3 12 4 3
4 1 13
7 38 10 4
5 8 37
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Comparing and Ordering Fractions (5-3)
Show example of how to complete:
Journal page130 fraction stick chartJournal page 131 - 132 adding with stick chart
Classwork
Finish journal page 130-122
If time:Math Box 5-3 (page 133)
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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
23
45
17
1236
1820
8 24
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411
16=
5 8
20=
9 310=
__18
4 9=
2 10 15=
11 12
__ 60=
27 33
9 = __
10 36 40= 6 36
24=
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Are they equivalent (equal):
2 8
10 40
1 9
645
1 4
2 8
3 6
16 24
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Match the fraction on the left with an equivalent fraction on the right.
12 16
3 5
2 3
24 36
2 3
3 4
18 27
9 15
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Classwork
•Complete journal page 134-125
If time:
•Math Box 5-4 (page 136)
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Part 1 - Fractions to Decimals (5-5)
Change the denominator to 10ths or 100ths and the fraction says it's decimal name.
910
= 63100
=
1150
= 4 5
=
925
= 720
=
3 4
=
1 2
=
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Write each number below as a decimal.Then locate the decimal on the number line.
27100
11 20
3350
1 4
3 5
12 25
= = =
===
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2
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Classwork
•Complete journal page 138
If time:
•Math Box 5-5 (page 141)
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When the denominator can’t be changed to 10ths or 100ths you must use long division to convert the fraction to a decimal.
Part 2 - Fractions to Decimals: long division (5-6)
It will help if you can memorize these fraction to decimal conversions12
=
13
=15
= 18
=16
=
110
=14
=
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Practice: Write each fraction as a decimal 410
912
23
45
56
58
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2448
1518
2025
2133
1421
2427
2124
3640
2036
416
28
2848
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.
Simplify Fractions
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Write the fraction as a decimal.1 53 8
8 620 10
Simplify the following fractions.
3 18 2415 32 36
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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)
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Arrange the decimals in order from least to greatest
Arrange the decimals in order from greatest to least
0.039 0.040.10.13 0.2 0.60.68
0.02 0.030.120.22 0.2 0.10.002
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Write a decimal between each pair of numbers
0.05 and 0.04
0.2 and 0.3
3 and 4
0.4 and 0.6
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Classwork
•Complete journal page 145
If time:•Math Box 5-7 (page 146)
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Fractions to Percents (5-8)Percent means out of
100To change a fraction to an equivalent percent first rename the fraction as a decimal and then multiplying the result by 100.
410
Fraction Decimal Percent
1320
4 7
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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? ________________
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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? ______________
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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? _______
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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)
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Review the properties of bar graphs and circle graphs (5-9)
Classwork•Complete journal page 151
If time:•Math Box 5-9 (page 152)
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Reading circle graphs (5-10)
Classwork•Complete journal page 153-154
If time:•Math Box 5-10 (page 156)
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Making circle graphs (5-11)
Classwork•Complete journal page 157-158
If time:•Math Box 5-11 (page 159)