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Chapter 4 Fractions, Decimals, and Percent.

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Presentation on theme: "Chapter 4 Fractions, Decimals, and Percent."— Presentation transcript:

1 Chapter 4 Fractions, Decimals, and Percent.

2 Day 1

3 Vocabulary Decimal- a representation of a real number using the base ten and decimal notation. Deposit- an amount added to an account or place. Discount- an amount subtracted from the original price. Fraction - a number that represents part of a whole or part of a set. Number Line - a line on which numbers are marked at intervals, used to illustrate simple numerical operations. a ratio that compares a number to 100. Percent - Proportion - an equation that shows two ratios are equivalent. Ratio- a comparison of two or more numbers. Rational Number - any number that can be written as a fraction. Taxes- an amount of money added to a total bill. Tips- an amount of money given to a service provided as gratitude.

4 Convert fractions, decimals, and percent using the standard algorithm.
I Can…. Convert fractions, decimals, and percent using the standard algorithm.

5 Converting Numbers Essential Understanding:
To convert a fraction to a decimal Simply 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 percent Multiply 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. To convert a percent to a decimal Divide 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. To convert a decimal to a fraction You simply write it like you read it.

6 Complete the following equivalency chart.
Exit Ticket Complete the following equivalency chart. Ratio Fraction Decimal Percent 1 / 2 0.45 77% 5:8 1 / 5 0.8 27% 3:4

7 Wrap it Up Review Questions Exit Tickets

8 Day 2

9 Bell Work Darion is saving up his allowance to buy a new video game system. The game system, he wants, cost $ 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.

10 Homework Check

11 Vocabulary Decimal- a representation of a real number using the base ten and decimal notation. Deposit- an amount added to an account or place. Discount- an amount subtracted from the original price. Fraction - a number that represents part of a whole or part of a set. Number Line - a line on which numbers are marked at intervals, used to illustrate simple numerical operations. a ratio that compares a number to 100. Percent - Proportion - an equation that shows two ratios are equivalent. Ratio- a comparison of two or more numbers. Rational Number - any number that can be written as a fraction. Taxes- an amount of money added to a total bill. Tips- an amount of money given to a service provided as gratitude.

12 Calculate percent of a number using multiplication.
I Can…. Calculate percent of a number using multiplication.

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

14 Solve the following equation in two different ways.
Exit Ticket Solve the following equation in two different ways. 17% of 200 =

15 Wrap it Up Review Questions Exit Tickets

16 Day 3

17 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?

18 Homework Check

19 Vocabulary Decimal- a representation of a real number using the base ten and decimal notation. Deposit- an amount added to an account or place. Discount- an amount subtracted from the original price. Fraction - a number that represents part of a whole or part of a set. Number Line - a line on which numbers are marked at intervals, used to illustrate simple numerical operations. a ratio that compares a number to 100. Percent - Proportion - an equation that shows two ratios are equivalent. Ratio- a comparison of two or more numbers. Rational Number - any number that can be written as a fraction. Taxes- an amount of money added to a total bill. Tips- an amount of money given to a service provided as gratitude.

20 Calculate percent of a number using proportional reasoning.
I Can…. Calculate percent of a number using proportional reasoning.

21 Percent of a Number Essential 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. You can calculate the part in two ways Scaling- Example Cross Product/ One step Equations-

22 Exit Ticket Use proportional reasoning to solve. 20% of 300 = 75% of 144 =

23 Wrap it Up Review Questions Exit Tickets

24 Day 4

25 Bell Work Use 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?

26 Homework Check

27 Vocabulary Decimal- a representation of a real number using the base ten and decimal notation. Deposit- an amount added to an account or place. Discount- an amount subtracted from the original price. Fraction - a number that represents part of a whole or part of a set. Number Line - a line on which numbers are marked at intervals, used to illustrate simple numerical operations. a ratio that compares a number to 100. Percent - Proportion - an equation that shows two ratios are equivalent. Ratio- a comparison of two or more numbers. Rational Number - any number that can be written as a fraction. Taxes- an amount of money added to a total bill. Tips- an amount of money given to a service provided as gratitude.

28 Calculate percent less than 1% and greater than 100%.
I Can…. Calculate percent less than 1% and greater than 100%.

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

30 pOp Quiz Take out a pencil and a calculator
Clear everything else from your desk

31 Create a rule for solving the following equation.
Exit Ticket Create a rule for solving the following equation. 15 is 20% of what number?

32 Wrap it Up Review Questions Exit Tickets


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