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POD Find your pulse. We are going to count how many beats your heart makes in 2 minutes. Teacher will keep the time. You keep count. Write your results as a ratio.
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4-1 Ratios A ratio is a comparison of two quantities by division. You can write a ratio in three ways. Arithmetic Algebra 5 to 7 x to y 5 : 7 x : y 5 7 x y
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5 to 8 5 : 8 5 8 Write the ratio of black keys to white keys.
Example: I do Write the ratio of black keys to white keys. black keys 5 to 8 white keys black keys 5 : 8 white keys 5 8 black keys white keys
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Example: we do Write the ratio of windows to lights in this classroom in three different ways Windows 6 to 8 lights windows 6 : 8 lights 6 8 windows lights
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= 4 5 8 10 Ex: I do Find a ratio equivalent to 4/5
Two ratios are equivalent ratios if their corresponding fractions are equivalent Ex: I do Find a ratio equivalent to 4/5 4 5 8 10 x2 = x2
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= = 7 9 14 18 7 9 21 27 Ex: we do Find a ratio equivalent to 7/9 x2 x2
or 7 9 21 27 x3 = x3
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Comparing Ratios To compare ratios, convert them into decimals or fractions with common denominators.
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Comparing Ratios I do An official U.S. flag has a length to width ratio of 19:10. The largest U.S. flag measures 505 ft. by 225 ft. Is this an official U.S. flag? Largest flag Official flag 505 255 19 10 ≈ 1.98 = 1.9 Since 1.98 is not equal to 1.9, the largest U.S. flag is not an official U.S. flag
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Comparing Ratios: we do
The ratio of girls to boys enrolled at King Middle School is 15:16. There are 195 girls and 208 boys in grade 8. Is the ratio of girls to boys in grade 8 the same as the ratio for the entire school? School 8th grade 15 16 195 208 ≈ = Yes, the ratios of girls to boys in the 8th grade is equivalent to the ratio for the whole school. Both are equal to
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Whiteboard time! Write the ratio of chairs to tables in this classroom in three different forms 39 chairs: 9 tables 39 chairs 9 tables 39 chairs to 9 tables
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Are the following ratios equivalent?
1.) :3 128:54 Not equivalent 2.) to 7 30.5 to 35 Equivalent
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Let’s try a few on our own.
Pg txtbk #2-32 evens
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Adrienne biked 24 miles in 4 hours
Adrienne biked 24 miles in 4 hours. If she biked at a constant speed, how many miles did she ride in 1 hour? 24 mi. 4 hrs. Write it as a fraction 24 ÷ 4 4 ÷ 4 Divide numerator and denominator by 4 6 mi. 1 hr. Simplify
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Ex. 2: Find the unit price if it costs $2 for eight juice boxes.
$ 2 8 boxes Write it as a fraction 2 ÷ 8 8 ÷ 8 Divide the numerator and denominator by 8 $ 0.25 1 box Simplify The unit price is $0.25 per box
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147 grams 15 servings 9.8 grams 1 serving
A package of cheddar cheese contains 15 servings and has a total of 147 grams of fat. Find the unit rate of grams of fat per serving. 147 grams 15 servings 9.8 grams 1 serving ÷15 ÷15 A package of cheddar cheese 9.8 grams of fat per serving
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