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

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Presentation on theme: "Chapter 4 Fractions, Decimals, and Percent.. Day 1."— Presentation transcript:

1 Chapter 4 Fractions, Decimals, and Percent.

2 Day 1

3 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.

4 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. Example: 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. Example: To convert a decimal to a fraction You simply write it like you read it. Example:

6 Exit Ticket Complete the following equivalency chart. RatioFractionDecimalPercent 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 $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.

10 Homework Check

11 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.

12 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. Example:

14 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 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.

20 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. Example: You can calculate the part in two ways Scaling- Example Cross Product/ One step Equations- Example:

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 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.

28 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. Example:

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

31 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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