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=

Copyright © Swun Math (^) Grade 8 Unit 1 Lesson 1 C TE
MPs
Applied MP

Decimal Expansion * Embedded MP

Conceptual Lesson

Grade 8 · Unit 1 · Lesson 1
MC: 8 .NS.

Problem of the Day

Objective: I will convert fractions to decimals and determine if it is terminating or repeating.

Vocabulary Teacher Resources

Terminating decimal: a decimal with digits that

come to an end

1

8

= 0.

Repeating Decimal: a decimal number that has

digits that repeat forever

1

3

= 0. 3333= 0. 3�

* The 3 is a repeating digit, and is marked with a bar

notation.

Considerations:

This is a review lesson from Grades 6 and 7. However,

it is beneficial for students to have scientific

calculators to double-check answers quickly.

Bar graphs and number lines are great ways to show

that decimals and fractions are similar.

Discuss whether every approximation must be as

close to the exact number as possible. In reality, no,

but most of the time, an approximation rounded to the

nearest thousandth or ten thousandths is very usable.

Steps:

Method 1

1. Divide to convert the fraction to a decimal.


2. Determine if the decimal is repeating or
   terminating.


3. If it’s repeating, identify the pattern.
   Method 2


4. Determine if fraction can be changed to an
   equivalent fraction with 10, 100, 1,000 etc. in
   the denominator.


5. Convert base-ten fractions to decimals.

Application of MPs:

MP5: What approach are you considering trying first

when it comes to converting between fractions and

decimals?

When changing a fraction into a decimal I can first

use

.

MP8: How can you predict which rational number can be

represented by a terminating decimal?

I can prove that the number is rational by.

1 2 3 4 5 6 7 8

* * *  * *

Student Journal Pages

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