Do Now (TFK 10/10/2014) 1)The U.S. produced more than 1.1 billion pounds of pumpkins in Write this number in standard form. 2)The ratio of pumpkin production of California to Ohio is about 2 : 1. If Ohio grows 100 million pounds of pumpkin about how many pounds of pumpkins does California grow? 3) Illinois grows 547 million pounds. Find the ratio of total letters to vowels in the word “Illinois.” Write this number in standard form. 4)The heaviest pumpkin weighed kg when it was presented by Tim Mathison in California on October 12, Find the weight of 2 of these massive pumpkins. 1,100,000,000 lbs 200 lbs 2 : 1 547,000,000 lbs kg

1.) The school store is sold 15 Beach shirts and 25 Beach magnets. Find the ratio of magnets to shirts. Then explain its meaning. 2.) Kevin 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

10/27/ A Equivalent Ratios

Remember…. equivalent ratios- express the same relationship between 2 quantities

Method- 1)Find common denominators 2)Simplify 3)Use unit rates

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. = 20 rolls $5 __________ 4 rolls $1 _________ = __________ 48 rolls $12 4 rolls $1 _________ Since the rates have the same unit rate,, they are equivalent. 4 rolls $1 ÷5 ÷12

Example 2 Determine if 42 people on 7 teams and 64 people on 8 teams are equivalent rates. Explain your reasoning. = ____________ 42 people 7 teams ___________ 6 people 1 team = ____________ 64 people 8 teams ___________ 8 people 1 team Since the rates do not have the same unit rate, they are not equivalent. ÷7 ÷8 ÷7 ÷8

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. = __________ $18 3 pizzas _________ $6 1 pizza = __________ $30 5 pizzas _________ $6 1 pizza ÷3 ÷5 Since the unit rates are the same,, the rates are equivalent.

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. = ____________ 5 laps 8 minutes ___________ 11 laps 16 minutes ? ×2 ×2.2

Example 5 Determine if 8 corrals with 56 horses and 4 corrals with 28 horses are equivalent ratios. Explain your reasoning. = ____________ 8 corrals 56 horses ___________ 4 corrals 28 horses ? ÷2 The numerator and the denominator are multiplied by the same number. So, the fractions are equivalent.

Exit Ticket

1.) 2.) 3.) Determine if $24 for 4 hours and $30 for 6 hours are equivalent rates. No 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 Ch. 3 Quiz Corrections due 11/3. Ch. 3 Test on Thursday.