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Cornell Notes: Ratios, Unit Rates and Proportions Topic: Students will be able to identify ratios, find unit rates and solve proportions Questions/Main Ideas Brain Pop Video: Ratios Name: ___________________________________ Class/Teacher: __ ________________ Core: ________ Date: __________ Grade: __6______ Notes/Examples Ratios: A ratio is a comparison of two numbers by division. You can write a ratio three different ways: 6 to 2, 6:2, Equivalent Ratios: Two ratios that name the same number are equivalent ratios. You can find equivalent ratios by multiplying or dividing each term of a ratio by the same nonzero number. Ex: = = Learn Zillion Video: Solve rates using multiplicative reasoning Unit Rates: A rate is a ratio involving two quantities in different units. Ex: 150 heartbeats to 2 minutes compares heartbeats to minutes. The rate for one unit of a given quantity is called the unit rate. Its denominator is 1. Ex: ÷ = The unit rate is 75 heartbeats per minutes. Ex: Find the unit rate for each situation: A.) 92 desks in 4 classrooms 23 desks per classroom B.) 45 miles per hour 9 miles per hour C.) $19.50 for 3 shirts $6.50 per shirt D.) $29.85 for 3 presents $9.95 per present Ex: Find the better buy: Crackers: 16 ounces for $2.39; 20 ounces for $3.19 $0.15 per ounce; or $0.16 per ounce; 16 oz for $2.39 Ex: There are 3 feet in 1 yard. Find the number of feet in a 15 yard run by a football player. 45 feet Brain Pop video: Proportions Proportions: A proportion is an equation stating that two ratios are equal. You can find the cross products of two ratios by multiplying the numerator of each ration by the denominator of the other ratio. The cross products of a proportion are always equal. = 4 x 15= 3 x 20 60= 60 Example: Does each pair of ratios form a proportion? A.) 1/2, 50/100 yes B.) 10/20, 30/40 no Solving Proportions using Cross Multiplying: = 9* 4 = X * 6 36 = X* 6 X= 6 Example: Solve the following proportions: = n= 63 = C= 40 Summary, Reflection, Analysis: _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________