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Chapter 4 Fractions, Decimals, and Percent.

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Chapter 4Fractions, Decimals, and Percent.

- Converting Measurements
- Fractions to Decimals
- Decimals to Fractions
- Decimals to Percent
- Percent to Decimals

Write each ratio as a part to part, part to whole, and a whole to part.

- 18 out of 24 students take a music class in middle school.
- Out of 12 cats, three have stripes.
- 7 out of 8 flowers are pink.
- Kristen sold 475 out of 500 boxes of Girl Scout cookies.
- 6 out of 30 students get an A in Mrs. E’s class.
Justify your Response

- an equation that shows two ratios are equivalent.

Proportion -

- a number that represents part of a whole or part of a set.

Fraction -

a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006.

Decimal-

Percent -

a ratio that compares a number to 100.

a number that can be written as a fraction

Rational Number -

a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Number Line -

Convert measurements using proportional reasoning.

Essential Understanding:

To convert measurements from one unit to another, you can use your knowledge of ratios to create a poprpotion.

Example:

Mrs. E’s desk is 4 ft. long. How many inches is it?

Please take out your maker boards

- Review
- Questions
- Exit Tickets

Stacey and Ben are planning a road trip from Nashville, TN to Atlanta, GA. Ben uses a ruler to measure the distance on a map. He tells Stacey they will have to travel 24inches. If the map scales shows 1 inch = 10 miles, how many miles will they travel? How many miles will they travel round trip?

Justify your response.

- an equation that’s shows two ratios are equivalent.

Proportion -

- _________
- _______
- ______
- _______
- _____________
- ___________

- a number that represents part of a whole or part of a set.

Fraction -

a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006.

Decimal-

Percent -

a ratio that compares a number to 100.

a number that can be written as a fraction

Rational Number -

a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Number Line -

Convert fractions to decimal.

Essential Understanding:

- To convert a fraction to a decimal you simply divide the numerator by the denominator.
Examples:

Please take out your maker boards

- Review
- Questions
- Exit Tickets

Convert each fraction to a decimal.

= =5 = = =

= = = = =

- an equation that’s shows two ratios are equivalent.

Proportion -

- _________
- _______
- ______
- _______
- _____________
- ___________

- a number that represents part of a whole or part of a set.

Fraction -

a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006.

Decimal-

Percent -

a ratio that compares a number to 100.

a number that can be written as a fraction

Rational Number -

a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Number Line -

Convert decimals to fractions.

Essential Understanding:

To convert a decimal to a fraction you simply identify the place value of the last decimal place and use it as the denominator of the fraction. Simplify when possible.

Examples:

.1.25.375.4213

- Clear your desk of everything but a pencil and a calculator.

- Review
- Questions
- Exit Tickets

Convert each decimal to a fraction.

.2 = .33 = .236 = .8764 =

.01 = .5 = .0023 = .64 =

.15 = .45 = 3.75 = 1.5 =

- an equation that’s shows two ratios are equivalent.

Proportion -

- _________
- _______
- ______
- _______
- _____________
- ___________

- a number that represents part of a whole or part of a set.

Fraction -

Decimal-

Percent -

a ratio that compares a number to 100.

a number that can be written as a fraction

Rational Number -

a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Number Line -

Convert decimals to percent.

Essential Understanding:

- To convert a decimal to a percent, you simply multiply the decimal by 100 and ass a percent sign (%).
- The easiest way to do this, is to use you knowledge of Powers of 10 (move the decimal to the right two places)
Examples:

.25 =.1 = .375 = = =

add

r

Please take out your maker boards

- Review
- Questions
- Exit Tickets

Convert each decimal to a percent.

.05 = .1 =.25 =.01 =

2.25= .82 = .12 = .064 =

.333 =.6 =.9 =.0001 =

- an equation that’s shows two ratios are equivalent.

Proportion -

- _________
- _______
- ______
- _______
- _____________
- ___________

- a number that represents part of a whole or part of a set.

Fraction -

Decimal-

Percent -

a ratio that compares a number to 100.

a number that can be written as a fraction

Rational Number -

a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Number Line -

Convert percent to decimals.

Essential Understanding:

- To convert a percent to a decimal, you simply divide by 100 and remove the percent sign (%).
- The easiest way to do this, is to use you knowledge of Powers of 10 (move the decimal to the left two places)
Examples:

5% = 25% = 46% = = =

- Clear your desk of everything but a pencil and a calculator.

- Take out a pencil and a calculator
- Clear everything else from your desk

- Classroom Store
- Exit Tickets

- http://learnzillion.com/lessons/842-define-unit-rate-using-double-number-line
- http://learnzillion.com/lessons/613-solve-rate-problems-using-double-number-lines
- http://learnzillion.com/lessons/612-solve-for-missing-values-in-rate-problems-using-a-table
(6 minutes per video)

- Write your exit ticket.
- Pack up everything but a pencil.
- You will have 15 minutes to complete each rotation