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Chapter 4 Fractions, Decimals, and Percent.

Chapter 4 Fractions, Decimals, and Percent.. Day 1

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Page 1: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Chapter 4Fractions,

Decimals, and Percent.

Page 2: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Day 1

Page 3: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Vocabulary

an equation that shows two ratios are equivalent.

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

Percent -

Proportion -

Rational Number -

Fraction -

Decimal-

Number Line -

a representation of a real number using the base ten and decimal notation.

a ratio that compares a number to 100.

any number that can be written as a fraction.

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

Deposit- an amount added to an account or place.

Discount- an amount subtracted from the original price.

Ratio-

Taxes-

Tips-

a comparison of two or more numbers.

an amount of money added to a total bill.

an amount of money given to a service provided as gratitude.

Page 4: Chapter 4 Fractions, Decimals, and Percent.. Day 1

I Can….

Convert fractions, decimals, and percent

using the standard algorithm.

Page 5: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Converting NumbersEssential Understanding:

•To convert a fraction to a decimalSimply divide the numerator by the denominator. Your answer will be a decimal. Thus, you will need to add a decimal and zeros to your dividend.Example:

•To convert a decimal to a percentMultiply the decimal by 100. Using your knowledge of the powers of ten, you can do this mentally by moving the decimal two place to the right.Example:

•To convert a percent to a decimalDivide the percent by 100. Using your knowledge of powers of ten, you can do this mentally by moving the decimal two places to the left.Example:

•To convert a decimal to a fractionYou simply write it like you read it.Example:

Page 6: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Exit TicketComplete the following equivalency chart.

Ratio Fraction Decimal Percent

1 / 2

0.45

77%

5:8

1 / 5

0.8

27%

3:4

Page 7: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 8: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Day 2

Page 9: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Bell WorkDarion is saving up his allowance to buy a new video

game system. The game system, he wants, cost $244.36.

His dad offers to pay 25% of the price, if he gets all As.

How much money has his dad offered to pay?

Hint- Try thinking of the percent as a fraction in simplest form.

Page 10: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Homework Check

Page 11: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Vocabulary

an equation that shows two ratios are equivalent.

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

Percent -

Proportion -

Rational Number -

Fraction -

Decimal-

Number Line -

a representation of a real number using the base ten and decimal notation.

a ratio that compares a number to 100.

any number that can be written as a fraction.

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

Deposit- an amount added to an account or place.

Discount- an amount subtracted from the original price.

Ratio-

Taxes-

Tips-

a comparison of two or more numbers.

an amount of money added to a total bill.

an amount of money given to a service provided as gratitude.

Page 12: Chapter 4 Fractions, Decimals, and Percent.. Day 1

I Can….

Calculate percent of a number using multiplication.

Page 13: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Finding the Percent of a Number

Essential Understanding:•You can use multiplication to find the percent of a number.•This can be done by changing the percent to a decimal or a fraction, as they both represent the same ratio of part to whole.

•To find the percent of a number using decimalsExample:

•To find the percent of a number using fractions.Example:

Page 14: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Exit Ticket

Solve the following equation in two different ways.

17% of 200 =

Page 15: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 16: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Day 3

Page 17: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Bell Work

Solve the following equation in two different ways.

A recent survey shows that 65% of students like

school lunch. If there are 800 students in the school,

how many like school lunch?

Page 18: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Homework Check

Page 19: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Vocabulary

an equation that shows two ratios are equivalent.

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

Percent -

Proportion -

Rational Number -

Fraction -

Decimal-

Number Line -

a representation of a real number using the base ten and decimal notation.

a ratio that compares a number to 100.

any number that can be written as a fraction.

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

Deposit- an amount added to an account or place.

Discount- an amount subtracted from the original price.

Ratio-

Taxes-

Tips-

a comparison of two or more numbers.

an amount of money added to a total bill.

an amount of money given to a service provided as gratitude.

Page 20: Chapter 4 Fractions, Decimals, and Percent.. Day 1

I Can….

Calculate percent of a number using

proportional reasoning.

Page 21: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Percent of a NumberEssential Understanding:

•You can calculate the percent of a number using proportional reasoning. As, a percent is a ratio

per 100. Think converting numbers from percent to decimal to fraction.

Example:

•You can use this knowledge to create equivalent proportions.

Example:

•You can calculate the part in two ways

Scaling-

Example

Cross Product/ One step Equations-

Example:

Page 22: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Exit Ticket

Use proportional reasoning to solve.

20% of 300 =

75% of 144 =

Page 23: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 24: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Day 4

Page 25: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Bell WorkUse proportional reasoning to solve.

Sarah tells the student council the have raised 80% 0f the

funds the need for the up coming dance. If they have

already raised $164.00, how much do they need for the

dance?

Page 26: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Homework Check

Page 27: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Vocabulary

an equation that shows two ratios are equivalent.

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

Percent -

Proportion -

Rational Number -

Fraction -

Decimal-

Number Line -

a representation of a real number using the base ten and decimal notation.

a ratio that compares a number to 100.

any number that can be written as a fraction.

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

Deposit- an amount added to an account or place.

Discount- an amount subtracted from the original price.

Ratio-

Taxes-

Tips-

a comparison of two or more numbers.

an amount of money added to a total bill.

an amount of money given to a service provided as gratitude.

Page 28: Chapter 4 Fractions, Decimals, and Percent.. Day 1

I Can….

Calculate percent less than 1% and greater than

100%.

Page 29: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Percentages less than and greater than

Essential Understandings:

•Occasionally, you will have percentages that are less than 1% or greater than 100%

•Percentages less than 1% represent a very small fractionExample:

•Percentages greater than 100% represent a mixed number. Meaning you have more than 1 whole piece or set.Example:

Page 30: Chapter 4 Fractions, Decimals, and Percent.. Day 1

pOp Quiz

• Take out a pencil and a calculator

• Clear everything else from your desk

Page 31: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Exit Ticket

Create a rule for solving the following equation.

15 is 20% of what number?

Page 32: Chapter 4 Fractions, Decimals, and Percent.. Day 1

Wrap it Up

• Review

• Questions

• Exit Tickets