Equivalent Fractions, Decimals, Percents Guided Lesson

​Equivalent Fractions, Decimals, Percents Guided Lesson

SWBAT locate, compare, and order integers and rational numbers using a number line. 6.2C

SWBAT use equivalent fractions, decimals, and percents to show equal parts of the same whole. 6.5C

Poll

Which best describes your mood right now?

Multiple Choice

Which shaded region on the 10-by-10 grid represents 32%?

Multiple Choice

There is one pizza and two people are going to split it in half. How would you convert one half into a fraction, decimal and percent?

• 1/2  ,  0.5  ,  50%
• 1/4  ,  0.25  ,  25%
• 3/4  , 0.75  ,  75%
• 1/20  ,  0.05 ,  5%

Multiple Choice

Which pair of numbers are equivalent?

• 0.03 and 30%
• 0.03 and 300%
• 0.3 and 3%
• 0.3 and 30%

Fractions to Decimals

​Divide the numerator by the denominator

​You may need to round if the decimal

does not terminate or end.

Remember 4 or below leave it alone

5 or higher round up​

Multiple Choice

What is the equivalent of 3/8 writen as a decimal?

• 0.38

• 0.375

• 3.8

• 0.3

Multiple Choice

Express 17/25 as a decimal

• 0.68

• 0.675

• 0.7

• 17.25

Decimals to Percents

​Multiply by 100

Add the % sign​

​A percent can be a whole number or a decimal

Multiple Choice

Convert the decimal 4.025 to a percent.

• 4.025%

• 40.25%

• 402.5%

• 0.04025%

Multiple Choice

Convert the decimal 0.875 to a percent

• 8.75%

• 87.5%

• 875%

• 0.00875%

Percent to Decimal

​Remove the % sign

Divide by 100​

Be careful moving your decimal

Multiple Choice

Convert 18.75% to a decimal

• 1875

• 0.01875

• 1.875

• 0.1875

Multiple Choice

Convert 3.5% to a decimal

• 0.035

• 0.0035

• 350

• 35

​Percent to a Fraction

​Remove the % sign

Place over 100

Simplify​

Start small when simplifying if necessary

Multiple Choice

Express 32% as a fraction in simplest form

• 32/100

• 8/25

• 16/50

• 100/32

Multiple Choice

Express 5% as a fraction in simplest form

• 5/10

• 1/2

• 5/100

• 1/20

Ordering Rational Numbers

​Convert all numbers to

the same form

Order from least to greatest​

Decimal form is usually the easiest to compare​

Multiple Choice

What is the percent represented in the model? 

• 20%
• 2%
• .2%
• 0.02%

Draw

Order from least to greatest

0.4 , 2/11 , 17% , 0.25

Multiple Choice

Express $$\frac{11}{50}$$  as a percent.

• 220%

• 22%

• 50%

• 55%

Multiple Choice

Which fraction is equivalent to 0.1?

• 1/100
• 1/10
• 1/1000
• 1/1

Match

Match the following models with the PERCENTS that they represent.

100%

75%

1%

50%

17%

• 100%

• 75%

• 1%

• 50%

• 17%