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Do Now . 1.) The school store is sold15 Beach shirts and 25 Beach magnets. Find the ratio of magnets to shirts. Then explain its meaning. 2.) Jesse typed 180 words in 3 minutes. Write as a unit rate. 5 : 3 For every 5 magnets sold, there are 3 shirts sold at the school store. . 60 words
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Do Now 1.) The school store is sold15 Beach shirts and 25 Beach magnets. Find the ratio of magnets to shirts. Then explain its meaning. 2.) Jesse typed 180 words in 3 minutes. Write as a unit rate. 5 : 3 For every 5 magnets sold, there are 3 shirts sold at the school store. 60 words 1 minute
Remember…. Equivalent Ratios- express the same relationship between 2 quantities
Since the rates have the same unit rate,, they are equivalent. 4rolls $1 ÷12 ÷5 48 rolls 20 rolls 4 rolls 4 rolls __________ __________ _________ _________ = = $12 $5 $1 $1 ÷12 ÷5 Example 1 Determine if 20 rolls of Now & Laters for $5 and 48 rolls of Now & Laters for $12 are equivalent rates. Explain your reasoning.
÷8 ÷7 42 people 64 people 6 people 8 people ____________ ____________ ___________ ___________ = = 7 teams 8 teams 1 team 1 team ÷8 ÷7 Example 2 Determine if 42 people on 7 teams and 64 people on 8 teams are equivalent rates. Explain your reasoning. Since the rates do not have the same unit rate, they are not equivalent.
÷5 ÷3 $30 $6 $18 $6 __________ _________ __________ _________ = = 5 pizzas 1 pizza 3 pizzas 1 pizza ÷5 ÷3 Example 3 You can buy 3 medium pizzas at The Pizza Place for $18 or 5 medium pizzas for $30. Are these selling rates equivalent? Explain your reasoning. Since the unit rates are the same, , the rates are equivalent.
×2.2 ? 5 laps 11 laps = ____________ ___________ 8 minutes 16 minutes ×2 Example 4 Determine if 5 laps swum in 8 minutes and 11 laps swum in 16 minutes are equivalent rates. Explain your reasoning. The numerator and the denominator are not multiplied by the same number. So, the fractions are not equivalent.
÷2 ? 8 corrals 4 corrals = ____________ ___________ 56 horses 28 horses ÷2 Example 5 Determine if 8 corrals with 56 horses and 4 corrals with 28 horses are equivalent ratios. Explain your reasoning. The numerator and the denominator are multiplied by the same number. So, the fractions are equivalent.
Determine if $24 for 4 hours and $30 for 6 hours are equivalent rates. No 1.) 2.) 3.) Determine if 90 miles in 2 hours and 135 miles in 3 hours are equivalent rates. Explain your reasoning. Yes, the unit rates are both 45 mph Determine if 4 free throws made out of 6 attempts and 8 free throws made out of 12 attempts are equivalent ratios Yes, both the numerator and the denominator are multiplied by 2.
Homework • Pg. 175 #1-20 Evens • Have a great weekend!