Test Monday Have out Paper pencil and calculator

Test: Monday Have out Paper, pencil, and calculator Make sure you try the bonus When finished: work on something quietly on your own!!

CONVERTING FRACTIONS, DECIMALS AND Standards: 7. RP. 2, 7. RP. 3 Analyze proportional relationships and use them to solve real-world and mathematical problems

¼Fractions. 25 Decimals 25% Percents

SAME VALUE DIFFERENT FORMS A same value can be written in different forms. For example: ½ fraction. 5 decimal 50% percent

Fractions can be converted into other forms… 10 PERCEN TS Numerator Denominat or DE OV E R VI DI Percen t 100 0 FRACTIO NS MULTIPLY BY 100 DECIMA LS

Convert a Fraction into a Decimal

CONVERT A DECIMAL INTO A PERCENTAGE Multiply the decimal by 100: 0. 25 x 100 = 25% Example: 0. 625 = **Multiplying by 100 moves the decimal two places right. Be sure to add the % sign.

Convert a Percent to a Fraction

PRACTICE

FINDING PERCENTS USING PROPORTIONS Standards: 7. RP. 2, 7. RP. 3 Analyze proportional relationships and use them to solve real-world and mathematical problems

PROPORTION EXAMPLE

EXAMPLES

EXAMPLES

HOMWORK Due Friday

PERCENT EQUATION Standards: 7. RP. 2, 7. RP. 3 Analyze proportional relationships and use them to solve real-world and mathematical problems

Part = % (in decimal form) x whole PRACTICE

PERCENT CHANGE Standards: 7. RP. 2, 7. RP. 3 Analyze proportional relationships and use them to solve real-world and mathematical problems

WHOLE-CLASS EXAMPLE Find the change: 2. 95 – 1. 30 = 1. 65 Set up ratio: change 1. 65 original 1. 30 Convert fraction to decimal: 1. 269 Convert decimal to % 126. 9% INCREASE IS REASONABLE THE PRICE MORE THAN DOUBLED!!

INDIVIDUAL EXAMPLE Find the change: Set up ratio: 280 – 220 = 60 change original Convert fraction to decimal Convert decimal to % 60 280. 214 21. 4%

PERCENT ERROR Standards: 7. RP. 2, 7. RP. 3 Analyze proportional relationships and use them to solve real-world and mathematical problems

WHOLE-CLASS EXAMPLE Find the error: Ratio of Error Actual Convert to Decimal: Convert to % 15 – 13. 5 = 1. 5 15. 1 10%

INDIVIDUAL EXAMPLE Find the error: 3. 75 Ratio of Error Actual Convert to Decimal: Convert to % 13. 75 – 10 = 3. 75 13. 75. 272 27%

HOMWORK Due Friday

SALES TAX AND TOTAL COST Standards: 7. RP. 2, 7. RP. 3 Analyze proportional relationships and use them to solve real-world and mathematical problems

WHOLE-CLASS EXAMPLE Tax = 0. 055 x 42 Tax = 2. 31 42 + 2. 31 = Total Sweatshirt + tax = total 42 + 2. 31 = $44. 31

WHOLE-CLASS EXAMPLE 100% + 5. 5% 1. 055 Total cost = 1. 055 x 42 Total cost = $44. 31

INDIVIDUAL EXAMPLE 2. 95 x 1. 05 = $3. 10 $30 100% Tip 20% Tax 5. 75% 125. 75% 1. 2575 x 30 = $37. 73 28 x 1. 15 = $32. 20

TIPS AND MARKUPS Standards: 7. RP. 2, 7. RP. 3 Analyze proportional relationships and use them to solve real-world and mathematical problems

WHOLE-CLASS EXAMPLE Method 1: 15 x. 2 = 3 15 + 3 = $18 Method 2: 15 x 1. 2 = $18

INDIVIDUAL EXAMPLE $42 100% tax 6% Tip 20% Total 126% 1. 26 x 42 = $52. 92

SALE PRICE AND ORIGINAL PRICE Standards: 7. RP. 2, 7. RP. 3 Analyze proportional relationships and use them to solve real-world and mathematical problems

WHOLE-CLASS EXAMPLE $15. 50 at 25% discount means a person will pay 75% 15. 50 x. 75 = 11. 625 $11. 63 Now add tax 11. 63 x 1. 065 = $12. 39

INDIVIDUAL EXAMPLE $239. 89 was 30% discount a person will paid 70% If 239. 89 is 70% what was 100%? 239. 89 = 70% x 100% x = $342. 70

SIMPLE INTEREST FORMULA Standards: 7. RP. 2, 7. RP. 3 Analyze proportional relationships and use them to solve real-world and mathematical problems

WHOLE-CLASS EXAMPLE Interest = Principal x Rate x Time I I = 1, 560 = $1, 170 x 0. 025 x 3 That means Jenny had a total of (1560 + 1170) $1, 170 In her savings account at the end of 3 years

INDIVIDUAL EXAMPLE Interest = Principal x Rate x Time I I = 760 = $152 x 0. 04 x 5 That means Marcos had a total of (760 + 152) $912 In his savings account at the end of 5 years

HOMWORK Due Friday

BELLWORK

REVIEW PERCENTS GAME Standards: 7. RP. 2, 7. RP. 3 Analyze proportional relationships and use them to solve real-world and mathematical problems

X-FACTOR GAME