MATHLINKS: GRADE 7 STUDENT PACKET 1 FRACTIONS AND …

Name ___________________________

Period _________

Date ____________

7-1

STUDENT PACKET

MATHLINKS: GRADE 7

STUDENT PACKET 1

FRACTIONS AND DECIMALS

1.1

Terminating Decimals

? Convert between fractions and terminating decimals.

? Compute with simple fractions.

1

1.2

Repeating Decimals

? Explore patterns in repeating decimals.

? Convert between fractions and repeating decimals.

? Compare, order, and add common fractions and decimals.

7

1.3

Graphing Fractions and Decimals

? Compare and order fractions and decimals.

? Locate fractions and decimals on number lines.

? Graph ordered pairs.

? Scale graphs appropriately.

16

1.4

Skill Builders, Vocabulary, and Review

25

MathLinks: Grade 7 (Student Packet 1)

Fractions and Decimals

WORD BANK

Word or Phrase

Definition or Description

Example or Picture

benchmark fraction

coordinate plane

decimal

division

fraction

ordered pair

repeating decimal

terminating decimal

MathLinks: Grade 7 (Student Packet 1)

0

Fractions and Decimals

1.1 Terminating Decimals

TERMINATING DECIMALS

Summary

Goals

? Convert between fractions and

terminating decimals.

? Compute with simple fractions.

We will learn various strategies to convert

between fractions and terminating

decimals.

Warmup

A fraction is a number that is expressible in the form

a

b

where a is a whole number and b

is a positive whole number.

Use the hundred grids to find the decimal equivalents for the following fractions.

1

1

= _______

2.

= _______

1.

2

4

Write the decimal value for each quantity.

3. one-half of a dollar

$________

4. one-fourth of a dollar $________

5.

1

= _____

10

6.

2

= _____

10

7.

7

= _____

10

8.

9

= _____

10

9.

1

= _____

100

10.

2

= _____

100

11.

17

= _____

100

12.

90

= _____

100

13. Which of the two values from problems 5 through 12 are equal?

MathLinks: Grade 7 (Student Packet 1)

1

Fractions and Decimals

1.1 Terminating Decimals

ALL ABOUT FOURTHS

1. What is the relationship between

1

2

and

1

4

?

2. Here are two different methods to find the decimal equivalent for

Method 1

1

4

Rename the fraction

that is a power of 10.

Therefore

.

Method 2

with a denominator

?

?

1?

4?

?

?

?

1

4

?

?

?

? = 100

?

?

?

1

= ______________ .

4

Use the fact that

1

of

2

1

2

= 0.5 = 0.

__________ is __________ .

Therefore

1

= ___________ .

4

3. Complete the table.

0

4

Fraction

1

4

2

4

3

4

4

4

Decimal

4. Show how to use the decimal equivalent for

1

4

to find the decimal equivalent for

3

4

by

4

4

to find the decimal equivalent for

3

4

by

addition or multiplication.

5. Show how to use the decimal equivalent for

subtraction.

6. Is it true that

4

4

=

2

?

2

Explain.

MathLinks: Grade 7 (Student Packet 1)

2

Fractions and Decimals

1.1 Terminating Decimals

BENCHMARK FRACTIONS AND DECIMALS

A benchmark fraction refers to a fraction that is easily recognizable.

Benchmark fractions are commonly used in everyday experiences.

Write decimal equivalents for each of the following fractions.

1.

1

= _____

10

2

= _____

10

3

= _____

10

7

= _____

10

9

= _____

10

Describe an easy way to remember these kinds of fraction-decimal equivalents.

2.

1

= _____

100

2

= _____

100

9

= _____

100

10

= _____

100

99

= _____

100

Describe an easy way to remember these kinds of fraction-decimal equivalents.

3.

1

= _____

2

1

= _____

4

2

= _____

4

3

= _____

4

Describe an easy way to remember these kinds of fraction-decimal equivalents.

4. What is the relationship between

equivalent for

and

1

?

10

1

8

and

1

4

Use this relationship to find a decimal

1

.

5

5. What is the relationship between

equivalent for

1

5

? Use this relationship to find a decimal

1

.

8

MathLinks: Grade 7 (Student Packet 1)

3

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