The Same What 1 pts 1 pts 2

The Same What? ! 1 pts 1 pts 2 pts 2 pts 3 pts 3 pts 4 pts 4 pts 5 pts 5 pts Weigh it on your. . . Percent Challenge Teacher’s Choice Formula Fun!

Formula Fun! How do you convert a fraction into a decimal? • Answer Back to Board

How do you convert a fraction into a decimal? Divide the numerator by the denominator. • Back to Board

Formula Fun! How do you convert from a decimal to a percent? • Answer Back to Board

How do you convert from a decimal to a percent? Multiply the decimal by 100 (move the decimal point two “spaces” to the right). • Back to Board

Formula Fun! How do you convert from a fraction to a percent? (provide at least 1 example) • Answer Back to Board

How do you convert from a fraction to a percent? (provide at least 1 example) Divide the numerator by the denominator and then multiply by 100. Set up a proportion - set your fraction equal to x over 100 and solve for x. (Examples may vary) • Back to Board

Formula Fun! How do you calculate percent change? • Answer Back to Board

How do you calculate percent change? Use the following formula: %∆ = new - original * 100 original • Back to Board

Formula Fun! What pieces of information do you need to know in order to calculate your grade? • Answer Back to Board

What pieces of information do you need to know in order to calculate your grade? 1. The grading scale 2. Your average in each category Or 1. The total possible points 2. The points earned • Back to Board

The Same What? ! List 3 equivalent fractions to the following decimal: 0. 5 • Answer Back to Board

List 3 equivalent fractions to the following decimal: 0. 5 Answers may vary • Back to Board

The Same What? ! Convert 100% into 4 different fractions. • Answer Back to Board

Convert 100% into 4 different fractions. Answers may vary • Back to Board

The Same What? ! Solve for x in the following equation: 50. x. 100 = 25 • Answer Back to Board

Solve for x in the following equation: x = 12. 5 • Back to Board

The Same What? ! While shopping, I bought a dress that was 15% off, what part of the dress did I actually pay for? • Answer Back to Board

While shopping, I bought a dress that was 15% off, what part of the dress did I actually pay for? You paid for 85% of the dress. • Back to Board

The Same What? ! How can you prove that the NYC Subway Map is not drawn to scale? • Answer Back to Board

How can you prove that the NYC Subway Map is not drawn to scale? Measure the distance between two stops on the map and compare it to the distance between those two stops in the real world. Measure the distance between two different stops on the map and compare it to the distance between those two stops in the real world. Compare these proportions, they are most likely not equivalent. If they are, repeat process until you find a discrepancy. It should not take long! • Back to Board

Weigh it on your. . . Give an example of where we see scales in the real world. • Answer Back to Board

Give an example of where we see scales in the real world. • • • Maps Blueprints Instruction manuals Crime shows Math Class. . . (not really the real world!) • Back to Board

Weigh it on your. . . Translate the following into a flowing sentence: 1 cm : 5 miles • Answer Back to Board

Translate the following into a flowing sentence: 1 cm : 5 miles 1 centimeter on the map is equivalent to 5 miles in the real world. • Back to Board

Weigh it on your. . . State the scale given the following information: “ 5 centimeters on my map is equivalent to 25 kilometers in the real world. ” • Answer Back to Board

State the scale given the following information: “ 5 centimeters on my map is equivalent to 25 kilometers in the real world. ” • 5 cm : 25 km or • 1 cm : 5 km • Back to Board

Weigh it on your. . . I need to make a scaled drawing of the NYC subway map for math class. . . I’ve decided that 1 cm : 1 block. How many centimeters should I put between 42 nd Street and 50 th Street? • Answer Back to Board

I need to make a scaled drawing of the NYC subway map for math class. . . I’ve decided that 1 cm : 1 block. How many centimeters should I put between 42 nd Street and 50 th Street? 8 centimeters • Back to Board

Weigh it on your. . . You are making a blueprint drawing of a 6 foot by 10 foot room using a scale of. 5 inches : 1 foot. What are the dimensions of your blueprint drawing? • Answer Back to Board

You are making a blueprint drawing of a 6 foot by 10 foot room using a scale of. 5 inches : 1 foot. What are the dimensions of your blueprint drawing? . 5 inches * 6 feet = 3 inches 1 foot ________. 5 inches * 10 feet = 5 inches 1 foot ________ 3 inches by 5 inches • Back to Board

Percent Challenge I want to leave a 20% tip on a $10 bill, how much money should I leave? • Answer Back to Board

I want to leave a 20% tip on a $10 bill, how much money should I leave? $10 *. 20 = $2 $2 + $10 = $12 • Back to Board

Percent Challenge I saved $30 yesterday after taking advantage of a 50% off sale! What was the price of my original item? • Answer Back to Board

I saved $30 yesterday after taking advantage of a 50% off sale! What was the price of my original item? Let x be the original price of the item. . 50 * x = $30. 50 x = $60 • Back to Board

Percent Challenge A television is on sale for $900. If the sale price is 10 % less than the regular price, what was the regular price? Give your answer to the nearest one hundredth. • Answer Back to Board

A television is on sale for $900. If the sale price is 10 % less than the regular price. What was the regular price? Give your answer to the nearest one hundredth. Let x be the regular price of the item. If you got 10% off, you paid for 90% of the item. . 90 * x = $900. 90 x = $1000 • Back to Board

Percent Challenge My real estate agent told me that my house had appreciated in value over the last three years. In other words, it has gone from being worth $102, 500 to being worth $111, 000. What is the percent increase in the value of my house? • Answer Back to Board

My real estate agent told me that my house had appreciated in value over the last three years. In other words, it has gone from being worth $102, 500 to being worth $111, 000. What is the percent increase in the value of my house? Original worth: $102, 500 New worth: $111, 000 Percent Change = new – original = 111, 000 – 102, 500 = 8, 500 =. 083 original 102, 500 The value of my house has increased by 8. 3%! • Back to Board

Percent Challenge I’m starting a new job on Monday. In my old job, my hours were 9: 00 am to 5: 00 pm Monday through Friday. My new hours are 10: 00 am to 7: 00 pm Monday through Thursday. What is the percent change in my weekly work commitment? • Answer Back to Board

I’m starting a new job on Monday. In my old job, my hours were 9: 00 am to 5: 00 pm Monday through Friday. My new hours are 10: 00 am to 7: 00 pm Monday through Thursday. What is the percent change in my weekly work commitment? Old job: 8 hours/day * 5 days/week = 40 hours/week New job: 9 hours/day * 4 days/week = 36 hours/week Percent Change = new – original = 36 – 40 = -4 = - 10% original 40 40 My new job provides me with a 10% decrease in my weekly hours! • Back to Board

Teacher’s Choice Explain the logic behind grading to the following student: “How is it possible that I got A’s on all of my math tests. . . 90%’s on all of my quizzes. . . And yet I only have a C in math class? !” • Answer Back to Board

“How is it possible that I got A’s on all of my math tests. . . 90%’s on all of my quizzes. . . And yet I only have a C in math class? !” Something to the effect of: “You probably didn’t do any of your homework, were disruptive in class, and didn’t take your projects that seriously!” Lesson learned. . . • Back to Board

Teacher’s Choice Under what circumstances would you expect to see a percent increase versus a percent decrease? • Answer Back to Board

Under what circumstances would you expect to see a percent increase versus a percent decrease? I would expect to see a percent increase when my new value is larger than my original. I would expect to see a percent decrease when my new value is smaller than my original. • Back to Board

Teacher’s Choice Under what circumstances would you want a high interest rate, and under what circumstances would you want a low interest rate? • Answer Back to Board

Under what circumstances would you want a high interest rate, and under what circumstances would you want a low interest rate? You would want a high interest rate if you are the one loaning the money (to a bank, to your friend, etc). You would want a low interest rate if you are the one borrowing the money (from your credit card company, from mortgage lender, etc. ) • Back to Board

Teacher’s Choice If you want to write your own percent change problem, what elements do you DEFINITELY need to have? • Answer Back to Board

If you want to write your own percent change problem, what elements do you DEFINITELY need to have? Some initial value and some new value. • Back to Board

Teacher’s Choice Make an argument in support or against the following: “There is no such thing as 110%!” • Answer Back to Board

“There is no such thing as 110%!” Answers may vary • Back to Board