2 Scale Drawings Def: a special ratio that gives the. 3 Measurements
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1 1 Percents Def: a special ratio in which the denominator is 100 Formula pppppppp (iiii) = % wwwwwwwwww (oooo) What percent of $10 is $4? 2 Scale Drawings Def: a special ratio that gives the relationship between the distance Ex. On a map... on the map or drawing to the actual 1 inch = 20 miles distance or size (map) (actual) Ex. Architecture and blueprint... *if possible, connect each number with its word *plug numbers into the formula *SOLVE 4 = p = 10p p = 40 40% When will I EVER use proportions? A garage door is 16ft wide. How big will the garage door be on the blueprint? (scale 2 in. = 1 ft.) *find the missing value by setting up a proportion Words: Known: Unknown: foot 1 ft. inches 2 in. = 16 ft. x SOLVE Types of Percent Problems: a. Missing percent Ex. What percent of 6 is 3? 3 =? b. Missing part (is) Ex. What number is 50% of 6?? = Measurements Ex. Paige ran a 5k. How many miles is a 5k? Words: Known: Unknown: kilometers miles 1.61 k 1 mi = 5 k x SOLVE c. Missing whole (of) Ex. 3 is 50% of what number? 3 = 50? 100
2 Percent Proportions 1. What number is 40% of 120? is 25% of what number? 3. What percent of 60 is 15? % of 192 is what number? is what percent of 160? 6. What is 84% of 150? 7. If 12 out of the 75 animals in the pet store are frogs, what percent are frogs? 8. 56% of calories in corn chips are from fat. Find the number of calories from fat if the total calories in one serving are Carbon constitutes 18.5% of the human body by weight. Determine the amount of carbon contained in a person who weighs 145 pounds % of the 7 th graders are moving to a new middle school. How many total 7 th graders are there, if 160 are moving?
3 Measurements 1. Chef Horace is baking a cake and the recipe calls for 3 teaspoons of vanilla. How much vanilla does he need in milliliters? 2. Melissa s new puppy weighs 48 ounces. What is the puppy s weight in grams? 3. Ms. McCarthy got a delicious recipe from her friend in Europe. She bought 4 ounces of cheese to make the dish. How many grams of cheese are in the recipe? 4. Over the weekend Kathy ran 6 kilometers. How many miles did she run? 5. Mrs. Smith bought 3 gallons of milk this week at the grocery story. How many liters did she buy? 6. Mrs. Raffensperger is painting a stripe around her living room. The stripe is 23.5 yards long. How many meters long is the stripe? 7. Ms. DiCesare drinks about 50 fluid ounces of water a day. How many milliliters of water does she drink? 8. Mrs. Withington walks her dog approximately 3 miles each day. How many kilometers does she walk her dog?
4 Scale Drawings 1. Los Angeles and San Diego, California Map Distance: 6.35 cm 1 cm : 20 mi 2. Chicago Illinois and Mexico City, Mexico Map Distance: 10.9 cm 1 cm : 250 km 3. A surgical instrument 150 millimeters long 10 mm : 1 cm 4. A lake 85 feet across 1 in : 4 feet 5. Phil is building a scale model of his home. The actual home is 26 feet wide by 40 feet long. If the model is 10 inches long, how wide does the model need to be? 6. A map scale is 1 in. = 15 miles. The distance from Roanoke to Greensboro is 7 inches on the map. How many miles is it between the two cities? 7. A girl who is 4 feet tall casts a shadow that is 3 feet long. At the same time, a flagpole casts a shadow that is 15 feet long. Find the height of the flagpole. 8. The model replica of a building measures 5.2 inches tall and the width of the base is 1.6 inches. If the actual building is 280 meters tall, about how wide is the actual base?
5 Percent Proportions 1. What number is 25% of 20? Homework 2. 40% of what number is 36? is what percent of 30? Scale Drawings 4. On a scale model of a shopping center, the scale is 1/4 inch to 1 foot. If the actual length of the shopping center is 144 feet, what is the length on the scale model? 5. Nathan created a model of his yard, and he used the scale 1 inch = 3 feet. If the tree by his bedroom window is 3.5 inches tall on the scale model, what is the actual height of the tree? 6. The scale on a map is 1 inch equals 5 feet. What is the distance between two points on the map that are 8 ½ inches apart on the map? Measurements 7. Joe is cooking a 5 pound turkey for his family dinner. How many grams does the turkey weigh? 8. A bakery uses 30 pounds of flour every two days. How many grams of flour do they use every two days? 9. Remi, Ms. Marine s dog weighs 70 pounds. How many kilograms does she weigh?
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