Unit 5: Fractions, Decimals and Percents

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)

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

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

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:

Mixed NumberImproper Fraction

Mixed NumberImproper Fraction

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 12 4 3

4 1 13

7 38 10 4

5 8 37

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)

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

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=

Are they equivalent (equal):

2 8

10 40

1 9

645

1 4

2 8

3 6

16 24

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

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.

910

= 63100

=

1150

= 4 5

=

925

= 720

=

3 4

=

1 2

=

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

Classwork

•Complete journal page 138

If time:

•Math Box 5-5 (page 141)

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

=

Practice: Write each fraction as a decimal 410

912

23

45

56

58

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

Write the fraction as a decimal.1 53 8

8 620 10

Simplify the following fractions.

3 18 2415 32 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

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

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

Classwork

•Complete journal page 145

If time:•Math Box 5-7 (page 146)

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

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)