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Bell Work 1. Get your folder from your green class crate 2. Read through the current scale (LG# 701) 3. Check off any boxes we have learned about and you have mastered 4. Rate yourself at your current level 5. Write about why you rated yourself that level, using specific evidence from the scale (on the side with the Level 2). Percent Review 1) Write 4.5 as a percent 2) Write 32.5% as a decimal 3) A tennis player won 0.805 of the matches he played. What percent did he lose? 4) Write 40% as a fraction 5) Write 8 out of 12 as a a) Fraction b) Decimal c) Percent What is important here? • A fraction = percent = decimal • These are all representations of the same part to whole ratio. Percent of a Number • How can we find the percent of a number? Find the Percent of a Number Find 5% of 300. You Try! Use Percent Greater than 100% Find 120% of 75. Choose Your Method! Rally Coach: Textbook page 302 #1-7 6-1 C Percent and Estimation Explore Solving a Percent Problem using ESTIMATION In a recent year, quarterback Carson Palmer completed 62% of his passes. He threw 520 passes. About how many did he complete? How would you round the numbers to make them easier to work with? You can solve this problem by multiplying by the fraction or the decimal… Your Turn! Box turtles have been known to live for 120 years. American alligators have been known to live 42% as long as box turtles. About how long can an American alligator live? How can you round the numbers to make the problem easier to solve? Estimating Percents Using 10%s Sometimes it’s easier to first find 10% of the number and then multiply. For example, 70% = 7 x 10%. Example Marita and four of her friends ordered a pizza that cost $14.72. She is responsible for 20% of the bill. About how much money will she need to pay? Choose Your Method! Dante plans to put 80% of his paycheck into a saving account. His paycheck this week was $295. About how much money will he put into his savings account? Percents Greater than 100 or Less than 1 • Estimate 122% of 50. • 122% is about 120% • Use the Distributive Property • 120% of 50 = (100% of 50) + (20% of 50) • = (1 x 50) + (1/5 _______) • = 50 + ____ • Estimate ¼% of 589. • Choose numbers that are easier to work with • ¼% is one-fourth of 1% (*Hint any percentages less than 1 round up to 1%, then adjust at the end) • 589 is about 600 • Find 1% of 600 = 0.01 x 600 = • Since you found 1% we need to adjust your answer to reflect the ¼%...so what is ¼ of your answer? Check Your Progress • Estimate: • 174% of 200 • 298% of 45 • 0.25% of 789 6-2B Percent Proportion Review on Solving Proportions 1. 2 x 5 100 2. 12 4.8 x 100 Hint: Use Cross Products and solve for x! Percent Proportions Since we know we can represent a percent as a fraction over 100, we can set up proportions to find missing values! part percent whole 100 Types of Percent Problems Percent Proportion Steps: Write out proportion 2. Find Cross Products 3. Solve 1. Practice- You Try Rally Coach with Shoulder Partner 1. What percent of 50 is 18? 2. What number is 2% of 35? 3. What percent of $90 is $9? 4. What number is 25% of 180? 6-2C Percent Equation Percent Equation Find the Part Find the Percent Find the Whole Three Types of Percent Problems Practice- You Try Rally Coach 1. 2. 3. 4. 5. What is 6% of 19? 27 is what percent of 150? What percent of 40 is 9? 24 is 32% of what number? 14% of what number is 7? Exit Pass Compare and contrast the percent proportion and the percent equation. Which one is easier to use? Does it depend on the situation?