ࡱ> IKH` %'bjbjss .~%3338"44mk57"777KKKjjjjjjj$mho kLEK@KLLk77'kRRRLd77jRLjRRXfh7z5 ڧ38MTgiT=k0mk(g\pNp0hphK0K"RKKKKKkk2RdKKKmkLLLLd.F3F3 Name: ________________Chapter 7 Percent Test Date:____ Chapter 7: Percent Vocabulary: percent____________________________________________________________________________________________________________ discount____________________________________________________________________________________________________________ principal___________________________________________________________________________________________________________ interest____________________________________________________________________________________________________________ simple interest______________________________________________ _________________________________________________________ Lesson 7.1 Understanding Percent Warm-Up: Solve each proportion. 1.  EMBED Equation.DSMT4  =  EMBED Equation.DSMT4  2.  EMBED Equation.DSMT4  =  EMBED Equation.DSMT4  3.  EMBED Equation.DSMT4  = EMBED Equation.DSMT4  4. EMBED Equation.DSMT4  =  EMBED Equation.DSMT4  A percent is a ratio in which the first term is compared to 100. Examples on the front of workbook page 76. Lesson 7.2 Fractions, Decimals, and Percents _________________________________________________ Warm Up: 1. Shade two squares, and then write the fraction of the shaded area in simplest form.  2. Shade two squares, and then write the fraction of the shaded area in simplest form. _________________________________________________________ Percent means per 100. Example 1: Write 60% as a fraction and decimal. 60% = ----- = 0.60 Example 2: Write 0.38 as a fraction and percent. 0.38 = ----- = ___% Example 3: Write  EMBED Equation.DSMT4  as a percent. A. One way: Use a proportion.  EMBED Equation.DSMT4  =  EMBED Equation.DSMT4  B. Another way: Divide numerator by denominator 3 8 = Example 4: Write 0.5% as a fraction and decimal. 0.5% = ----- = ____ Example 5: Write .05 as a percent and fraction. .05 = ----- = ____% Example 6: Write 0.525 as a fraction and percent. 0.525 = ----- = ___% Examples on the front of workbook page 77. Lesson 7.3 Writing to Explain When you write to explain, it is important that you describe each step in the solution clearly. Tips for Writing Good Explanations: Break explanations into parts to make them easy to follow. Use specific numbers for examples to explain why something works or does not work. Give alternate explanations if appropriate. Examples on the front of workbook page 78. Lesson 7.4 Mental Math: Finding Percent of a Number Warm Up: Write each percent as a fraction. 1. 25% = _____ 2. 50% = _____ 3. 75% = _____ 4. 10% = _____ Benchmark Fractions: (Memorize theseit will be helpful.) Percent10%20%25%33 EMBED Equation.DSMT4 %40%50%60%66 EMBED Equation.DSMT4 %75%80%Fraction EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  **You can use the fraction equivalents to find a percent of a whole number mentally, especially when the denominator easily divides into the whole number. Example 1: Strategy One: Think 80% is EMBED Equation.DSMT4 .  EMBED Equation.DSMT4  x 40 = 32 Strategy Two: Think: 80% is 8 x 10%. 10% of 40 is 4, 8 x 4 = 32 Examples on the front of workbook page 79. Lesson 7.5 Estimating with Percents Warm Up: Multiply. 1.  EMBED Equation.DSMT4  x 18 = ________ 2.  EMBED Equation.DSMT4  x 40 = ________ 3.  EMBED Equation.DSMT4  x 66 = ________ 4.  EMBED Equation.DSMT4  x 100 = ________ Two ways to estimate are: A.____________________ B.____________________ Example 1: Estimate 34% of 600,000 using compatible numbers. Example 2: Estimate 9% of 735,617 using compatible numbers and rounding. Examples on the front of workbook page 80. Lesson 7.6 Finding the Percent of a Number Warm Up: Write each percent as a decimal. 1. 10% = _____ 2. 32.5% = _____ 3. 6% = _____ 4. 125%= _____ Percents can be converted to fractions and/or decimals. Example 1: Write the percent as a decimal. 21% of 346 Example 2: Write a proportion. part = percent value whole 100 Examples on the front of workbook page 81. Lesson 7.7 Solve a Simpler Problem Examples on the front of workbook page 82. Lesson 7.8 Sales Tax and Discount Warm Up: Find each value. 1. 5% of 50 2. 25% of 84 3. 20% of 15 4. 10% of 18 A. How do you calculate sales tax? To calculate sales tax 1. Convert the percent to a decimal. 2. Multiply the decimal (% sales tax) by the subtotal of the item. Round to the nearest hundredth (remember that $$$ has two decimals places to the right of the decimaltenths, hundredths). 3. Add the sales tax to the subtotal. 4. Then you will have the total cost of the bill. Total cost = subtotal + sales tax Example: Find the total cost of a pair of jeans that cost $29.56. The sales tax equals 6%. 1. 2. 3. 4. B. How to calculate a discount? (Do you want to save $$$?) 1. Convert the percent of the discount to a decimal. 2. Multiply the decimal by the original price. Round to the nearest hundredth. This is the amount of $ you save. 3. Subtract the discount from the original (sticker/tag) price. This will give you the sale price. 4. Then you have the sale price of the discounted item. ** Now follow the rules for finding the sales tax of the item you are purchasing. Example: Now the jeans that originally cost $29.56 are on sale for 20% off. Calculate the discount: 1. 2. 3. 4. Now calculate the sales tax of the discounted pair of jeans: 1. 2. 3. 4. Examples on the front of workbook page 83. Lesson 7.9 Percent of Increase and Decrease Warm Up: Write each decimal as a percent. 1. 0.19 2. 0.125 3. 1.10 4. 0.0325 You can use percents to show a change of increase or decrease: A. Read the problem to identify if you are going to have a percentage increase or decrease. B. To show an amount of increase: 1. Subtract to find the amount of increase. 2. Write and solve a proportion to find the percent of increase. percent change = increase amount 100 original amount Example: Last year the book for required reading cost $5.00. This year the same paperback book costs $6.00. Find the percentage increase using the percentage increase formula. C. To show an amount of decrease: 1. Subtract to find the amount of decrease. 2. Write and solve a proportion to find the percent decrease. percent change = decrease amount 100 original amount Example: The Windsor School library purchased 200 new books in 2002. In 2003, the school library purchased only 180 new books. Examples on the front of workbook page 84. Lesson 7.10 Simple Interest Warm Up: Multiply. 1. 30 x 0.2 _____ 2. 6 x 0.35 _____ 3. 420 x 0.5 _____ 4. 0.035 x 80 _____ principal-An amount of money borrowed or loaned. interest-A charge for the use of money, paid by the borrower to the lender. simple interest-Interest paid only on the principle, found by taking the product of the principle, rate, and time. Simple interest = principal rate time I = p r t Step 1: Write the formula Step 2: Substitute the given information Step 3: Solve. Ask yourself if your answer makes sense. Examples on the front of workbook page 85. Are you ready for the Chapter 7 Test? Three things I really understand are: 1. 2. 3. Three things I still need more practice on are: 1. 2. 3.     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