Objective Today you will learn how to change a fraction to a decimal and a percent!

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Presentation transcript:

Objective Today you will learn how to change a fraction to a decimal and a percent!

Do Now: 10-13-17

Decimal Define: Example: Percent A fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point. Example: Percent A percent is a ratio of a number to 100. Percent means “per hundred.” BE CREATIVE!! HAVE FUN!! GET SMART!! LIVE TO LEARN!!

F P D Fraction, Decimal, Percent (FDP) Chart Place on the back in the middle column. F P D X 100

EXPLORE ACTVITY Open books to page 203 AND 204. and take 10 minutes discuss and complete with group Explore Activity One

Two equal ratios form a PROPORTION. Ex. 5 : 10 = 20 : 40 56 = 7 64 8

2 Ways of Writing a Proportion 1. Colon Form 3:4 = 12: 16 2 2 Ways of Writing a Proportion 1. Colon Form 3:4 = 12: 16 2. Fraction Form 3 = 12 4 16

1. Colon form Check if the product of the means and product of the extremes are equal. Ex. 4: 6 ____ 12: 18 (6x12= 72) (18x4= 72) Therefore, the two ratios are equal.

To check if two ratios are equal or not: 2. Fraction form Use cross-products Ex. 3 = 15 4 20 (3x20=60) (4x15=60) Therefore, the two ratios form a proportion.

Solving Word Problems Grace and James are on a swimming team. Their swim training is 200 meters and usually takes them 3 minutes. How long, at this rate, would it take them to complete an 800-meter swim?

1. Set up the proportion: meters 200 = 800 minutes 3 n 2. Use cross-products 200(n)= 200 n then 3(800)= 2400. 3. Divide both sides by 200 n=12 Answer: 800-meter swim will take them 12 minutes.

A car travels 125 miles in 3 hours. How far would it travel in 5 hours?

A car travels 125 miles in 3 hours. How far would it travel in 5 hours A car travels 125 miles in 3 hours. How far would it travel in 5 hours? Step 1 Set up the proportion. miles 125 = h hours 3 5 Step 2 Solve for the missing value (h). 125(5) = 625 then, 3(h)=3h Step 3 Divide both 625 and 3h by 3 Answer: 208.33 or 208 1/3 miles

Using proportional relationships to find distance on a map. Scale Drawing is a drawing of a real object that is proportionally smaller or larger than the real object. A Scale describes how the dimensions in an object compare. OPEN BOOKS TO PAGE 181

The distance between two schools on Lehigh Avenue is shown on the map The distance between two schools on Lehigh Avenue is shown on the map. The two schools are 3 inch apart. What is the actual distance between schools. Scale: 1 inch = 2 miles Step One: Use the scale to set up proportion. Step Two: Solve For the missing measurement.

RECAP: exit ticket Today I learned… The steps in solving proportions are…

Assignment: 10-10-17 Work on Project.