6-1 Ratios January 18 A class of 24 students has 15 boys. What ratio compares the number of girls to boys in the class? (HINT: first, find the number of girls in the class) a. b. 3:5 5:3 c. d. 3:8 8:3 6-3 Rate of Change and Slope Number of Apples 3 7 11 Number of Seeds 30 70 110 January 20 What is the constant increase in the number of seeds? What is the constant increase in the number of apples? Find the rate of change: increase in seeds increase in apples Write 4 decimal values that are between 1/5 and ¼ Find the unit rate for each package of water: 6- pack for $3.79 9-pack for $4.50 12-pack for $6.89 6-2 Rates January 19 Find each unit rate: 90 miles = ? miles 15 gal 1 gallon Flower Arrangement Lilies 4 Roses 18 Snapdragons 6 6-4 Customary Units January 23 Complete each conversion: 5 lbs = 1 lb $2.49 $??? 152 feet = 16 sec Simplify each ratio: ? feet 1 sec 3 lb = ____ oz 12 qt = _____ gal 28 in = _____ ft For each percentage of work completed, find the fraction of work that would be REMAINING. Lilies: roses 80% Snapdragons: lilies Roses: flowers 40% 25% 76% 6-5 Metric Units January 24 Complete each conversion: 3.7 m = _____ cm 550 m = _____ km 6-6 2.24 = m – 0.79 m + 0.79 = 2.24 c. d. Determine if the ratios are equivalent: 24 points in 4 games 72 points in 8 games 2. Which amount of chocolate has the best unit rate? 12 oz for $2.50 18 oz for $3.69 24 oz for $4.95 3. 5 feet 6 inches plus 3 inch heels = how many inches? 4. Determine if the quantities in each pair of ratios are proportional: 8 pages in 5 minutes and 40 pages in 25 minutes? 5. It took 45 minutes to fill a pool to a uniform level of 18 inches. At this rate, how long will it take to fill the pool to a level of 35 inches? m = 2.24 x 0.79 m + 2.24 = 0.79 Solving Proportions January 26 1. 1460 mg = ____ g Asha had some change in her purse. After her brother gave her $0.79, Asha had $2.24 altogether. Which equation can she use to find the original amount of money m she had in her purse? a. b. Review January 25 Solve each proportion 5/6 = t/18 6/k = 24/28 21/5 = c/7 Multiply. Write in simplest form 3 ½ x 5 7/8 1 2/3 x 5 4/5 2 1/4 x 7 5/8 6-8 Scale Drawings January 30 A model of a tree is made using a scale of 1 inch: 25 feet. What is the height of the actual tree if the height of the model is 4 inches? Review 1. Determine if the ratios are equivalent: 18 out of 24 and 5 out of 20 2. Which bottle of shampoo costs the least per ounce? Bottle Price 8 oz $1.99 12 oz $2.59 16 oz $3.19 3. Find the slope of the given line, and then explain what the slope represents. Amount Weeks ($) 30 1 60 2 90 3 Based on the measurements, find the area of each circle. d = 36 ft 6-9 r = 7 in February 1 d=9m Fractions, Decimals, Percents January 31 Explain why 80%, 0.8 and 4/5 all represent the same value. 4. A bucket contains 6 quarts 1 pint of paint. Ann pours 3 quarts 1 pint of additional paint into the bucket. What is the total amount of paint in the bucket? Mrs. Hart made 64 ounces of punch. The punch contained 17 ounces of apple juice. Which equation can be used to find x, the percent of apple juice in the punch? a. b. x/100 = 64/17 x/17 = 64/100 c. d. x/17 = 64/100 x/100 = 17/64 Review February 2 1. Mia put 2 ½ gallons of milk in the refrigerator. How many pints of milk are equal to 2 ½ gallons? 2. If 3 televisions weigh 240.6 pounds, how much do 9 of the same televisions weigh? 3. Washington, D.C, and Baltimore, Maryland, are 2 inches apart on a map. If the scale is ½ inch: 6 miles, what is the actual distance between the cities? 4. A quarter is made of 1/12 nickel, and the rest is copper. Write the portion of a quarter that is copper as a percent. Round to the nearest hundredth if necessary