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

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

Fractions Decimals Percents ¼.25 25%

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

FRACTIONS Fractions can be converted into other forms… DECIMALS PERCENTS Numerator Denominator DIVIDE MULTIPLY BY 100 OVER 100 Percent 100

Convert a Fraction into a Decimal

CONVERT A DECIMAL INTO A PERCENTAGE Multiply the decimal by 100: 0.25 x 100 = 25% Example: = **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

PROPORTIONEXAMPLE

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

PRACTICE Part = % (in decimal form) x whole

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: Convert decimal to % 126.9% 126.9% INCREASE IS REASONABLE THE PRICE MORE THAN DOUBLED!!

INDIVIDUAL EXAMPLE Find the change: 280 – 220 = 60 Set up ratio: change 60 original 280 Convert fraction to decimal.214 Convert decimal to % 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: 15 – 13.5 = 1.5 Ratio of Error 1.5 Actual 15 Convert to Decimal:.1 Convert to % 10%

INDIVIDUAL EXAMPLE Find the error: – 10 = 3.75 Ratio of Error 3.75 Actual Convert to Decimal:.272 Convert to % 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 = x 42 Tax = = Total Sweatshirt + tax = total = $44.31

WHOLE-CLASS EXAMPLE Total cost = x 42 Total cost = $ % + 5.5% 1.055

INDIVIDUAL EXAMPLE 2.95 x 1.05 = $ x 1.15 = $32.20 $30 100% Tip 20% Tax 5.75% % x 30 = $37.73

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 = = $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% x.75 = $11.63 Now add tax x = $12.39

INDIVIDUAL EXAMPLE $ was 30% discount a person will paid 70% If is 70% what was 100%? = 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 = 1,560 x x 3 I = $1,170 That means Jenny had a total of ( ) $1,170 In her savings account at the end of 3 years

INDIVIDUAL EXAMPLE Interest = Principal x Rate x Time I = 760 x 0.04 x 5 I = $152 That means Marcos had a total of ( ) $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