5 Minute Check Simplify. Complete on the back of your homework. (1st and last name on homework) 6 1. 16 45 2. 63 90 3. 120 4. 24

5 Minute Check Simplify. Complete on the back of your homework. 6 3 ∙ 2 3 1. 16 = 2∙ 2∙ 2∙ 2 = 8

5 Minute Check Simplify. Complete on the back of your homework. 45 2. 63

5 Minute Check Simplify. Complete on the back of your homework. 45 3∙3∙5 5 2. 63 = 3∙ 3∙ 7 = 7

5 Minute Check Simplify. Complete on the back of your homework. 90 3. 120

5 Minute Check Simplify. Complete on the back of your homework. 90 2∙3∙3∙5 3 3. 120 = 2∙ 2∙ 2∙3∙5 = 4

5 Minute Check Simplify. Complete on the back of your homework. 6 4. 24

5 Minute Check Simplify. Complete on the back of your homework. 6 2∙3 1 4. 24 = 2∙ 2∙ 2∙3 = 4

Inquiry Lab Open your book to page 27

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Inquiry Lab Work with a partner to complete questions #1-6 on page 29 and 30. You have 15 minutes.

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Tuesday, Aug 26 Lesson 6.1.3 Rates

Rates Objective: To understand and determine unit rates.

Rates A rate is a ratio (fraction) comparing quantities of different kinds of units. Example s 15 dollars 40 miles 120 students 3 pounds 4 hours 3 buses

Rates A unit rate is a rate with a denominator of 1 when the rate is written as a fraction. Examples- 5 dollars 10 miles 40 students 1 pound 1 hour 1 bus

Rates Samantha picked 45 oranges in 5 minutes. How many oranges did she pick per minute (unit rate). How to find a unit rate. Step 1 – Find the rate (fraction).

Rates Samantha picked 45 oranges in 5 minutes. How many oranges did she pick per minute (unit rate). Step 1 – Find the rate (fraction). 45 oranges 5 minutes Write this down with units

Rates Samantha picked 45 oranges in 5 minutes. How many oranges did she pick per minute (unit rate). Step 2 – Simplify. 45 oranges 5 minutes

Rates Samantha picked 45 oranges in 5 minutes. How many oranges did she pick per minute (unit rate). Step 2 – Simplify. 45 oranges 9 oranges 5 minutes = 1minute

Rates Samantha picked 45 oranges in 5 minutes. How many oranges did she pick per minute (unit rate). Step 3 – Divide the fraction by the number in the denominator, if needed. 9 oranges 1 minute What does this mean?

Rates Samantha picked 45 oranges in 5 minutes. How many oranges did she pick per minute (unit rate). Step 3 – Divide the fraction by the number in the denominator, if needed. 9 oranges 1 minute Samantha picked 9 oranges per minute.

Rates Step 3 reminder – 3 ÷ 7 =

Rates Four potted plants cost $24. What is the price per plant (unit price)? Step 1?

Rates Four potted plants cost $24. What is the price per plant (unit price)? Step 1? 24 dollars 4 plants How do we know to put the “plant” unit in the denominator?

Rates Four potted plants cost $24. What is the price per plant (unit price)? Step 1? 24 dollars 4 plants Because we are looking for the “price per plant”.

Rates Four potted plants cost $24. What is the price per plant (unit price)? Step 2? 24 dollars 4 plants

Rates Four potted plants cost $24. What is the price per plant (unit price)? Step 3 - ? 24 dollars 6 dollars 4 plants = 1 plant

Rates Four potted plants cost $24. What is the price per plant (unit price)? 6 dollars 1 plant What does this mean?

Rates Four potted plants cost $24. What is the price per plant (unit price)? 6 dollars 1 plant 6 dollars per plant.

Rates David earned $28 last night working 4 hours. How much did he earn per hour? Do this on your own.

Rates David earned $28 last night working 4 hours. How much did he earn per hour? 28 dollars 7 dollars 4 hours = 1 hours What does this mean?

Rates David earned $28 last night working 4 hours. How much did he earn per hour? 7 dollars 1 hours David earned 7 dollars per hour.

Rates You walked 15 miles in 2 hours last night. How many miles per hour did you walk? Do this on your own.

Rates You walked 15 miles in 2 hours last night. How many miles per hour did you walk? 15 miles ÷ 2 7.5 miles 2 hours ÷ 2 = 1 hours You walked 7.5 miles per hour.

Rates Tom sold 12 books for $9. How much did he make per book? Do this on your own.

Rates Tom sold 12 books for $9. How much did he make per book? 9 dollars 3 dollars ÷ 4 dollars 12 books = 4 book ÷ 4 = 1 book What does this mean?

Rates Tom sold 12 books for $9. How much did he make per book? 9 dollars 3 dollars ÷ 4 dollars 12 books = 4 book ÷ 4 = 1 book He made 3/4 dollars per book, 75 cents per book.

Rates The Australian dragonfly can travel 18 miles in 30 minutes. How far can it travel in 1 minute? Do this on your own.

Rates The Australian dragonfly can travel 18 miles in 30 minutes. How far can it travel in 1 minute? 18 miles 3 miles ÷ 5 miles 30 minute = 5 minute ÷ 5 = 1 minute miles per minute

Rates Write the unit rate. 34 miles in 2 hours.

Rates Write the unit rate. 34 miles 17 miles 2 hours = 1hour Or 17 miles per hour

Rates Anna downloaded 35 songs in 5 minutes. How many songs does she download per minute? Do this on your own.

Rates Anna downloaded 35 songs in 5 minutes. How many songs does she download per minute? 35 songs ÷ 5 7 songs 5 minutes ÷ 5 = 1 minute How many songs can she download in 8 minutes?

Rates Anna downloaded 35 songs in 5 minutes. How many songs does she download per minute? How many songs can she download in 8 minutes? 7 songs x 8 minutes 56 songs 1 minute x 8 minutes = 8 minutes

Rates Molly shot 20 baskets in 4 minutes. Nino shot 42 baskets in 6 minutes. Who shot the most baskets per minute? (Do this on your own)

Rates Molly shot 20 baskets in 4 minutes. Nino shot 42 baskets in 6 minutes. Who shot the most baskets per minute? Molly Nino 20 baskets ÷ 4 42 baskets ÷ 6 4 minutes ÷ 4 6 minutes ÷ 6 5 baskets 7 baskets 1 minute 1 minute 5 baskets per minute 7 baskets per minute

Rates Marcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container? (Do this on your own)

Rates Marcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container? 40.8 gallons ÷ 8 5.1 gallons 8 containers ÷ 8 = 1 container 5.1 gallons per container

Rates Julia wrote the rate $108 in 6 weeks as a unit rate. Find her mistake and correct it.

Rates Julia wrote the rate $108 in 6 weeks as a unit rate. Find her mistake and correct it. A unit rate has a denominator of 1. $108 6 𝑤𝑒𝑒𝑘𝑠 = $18 1 𝑤𝑒𝑒𝑘

Rates The ratio of red jelly beans to yellow jelly beans in a dish is 3:4. If Greg eats 3 red jelly beans and 6 yellow one, the ratio is 4:5. How many yellow jelly beans were originally in the dish?

Rates As, the ratio of red jelly beans to yellow jelly beans in a dish is 3:4. If Greg eats 3 red jelly beans and 6 yellow one, the ratio is 4:5. How many yellow jelly beans were originally in the dish? 3 𝑟𝑒𝑑 4 𝑦𝑒𝑙𝑙𝑜𝑤 = 6 8 = 9 12 = 12 16 = 15 20 = 18 24 = 21 28 = 24 32 = 27 36 = 30 40 ……

Rates As, the ratio of red jelly beans to yellow jelly beans in a dish is 3:4. If Greg eats 3 red jelly beans and 6 yellow one, the ratio is 4:5. How many yellow jelly beans were originally in the dish? 3 𝑟𝑒𝑑 4 𝑦𝑒𝑙𝑙𝑜𝑤 = 6 8 = 9 12 = 12 16 = 15 20 = 18 24 = 21 28 = 24 32 = 27 36 = 30 40 …… If he ate 3 red and 6 yellow, 0 𝑟𝑒𝑑 −2 𝑦𝑒𝑙𝑙𝑜𝑤 = 3 2 = 6 6 = 9 10 = 12 14 = 15 18 = 18 22 = 21 28 = 24 32 = 27 36 …

Rates As, the ratio of red jelly beans to yellow jelly beans in a dish is 3:4. If Greg eats 3 red jelly beans and 6 yellow one, the ratio is 4:5. How many yellow jelly beans were originally in the dish? 0 𝑟𝑒𝑑 −2 𝑦𝑒𝑙𝑙𝑜𝑤 = 3 2 = 6 6 = 9 10 = 12 14 = 15 18 = 18 22 = 21 26 = 24 30 = 27 34 … Do any of these simplify to 4 5 ?

Rates As, the ratio of red jelly beans to yellow jelly beans in a dish is 3:4. If Greg eats 3 red jelly beans and 6 yellow one, the ratio is 4:5. How many yellow jelly beans were originally in the dish? 0 𝑟𝑒𝑑 −2 𝑦𝑒𝑙𝑙𝑜𝑤 = 3 2 = 6 6 = 9 10 = 12 14 = 15 18 = 18 22 = 21 26 = 24 30 = 27 34 … Do any of these simplify to 4 5 ? 0 𝑟𝑒𝑑 −2 𝑦𝑒𝑙𝑙𝑜𝑤 = 3 2 = 1 = 9 10 = 6 7 = 5 6 = 9 11 = 21 26 = 𝟒 𝟓 = 3 4 …

Rates As, the ratio of red jelly beans to yellow jelly beans in a dish is 3:4. If Greg eats 3 red jelly beans and 6 yellow one, the ratio is 4:5. How many yellow jelly beans were originally in the dish? 0 𝑟𝑒𝑑 −2 𝑦𝑒𝑙𝑙𝑜𝑤 = 3 2 = 6 6 = 9 10 = 12 14 = 15 18 = 18 22 = 21 26 = 24 30 = 27 34 … There were 24 𝑟𝑒𝑑 30 𝑦𝑒𝑙𝑙𝑜𝑤 after he ate the beans 0 𝑟𝑒𝑑 −2 𝑦𝑒𝑙𝑙𝑜𝑤 = 3 2 = 1 = 9 10 = 6 7 = 5 6 = 9 11 = 21 26 = 𝟒 𝟓 = 3 4 …

Which means there were 24 𝑟𝑒𝑑+3 𝑟𝑒𝑑 30 𝑦𝑒𝑙𝑙𝑜𝑤+6 𝑦𝑒𝑙𝑙𝑜𝑤 Rates As, the ratio of red jelly beans to yellow jelly beans in a dish is 3:4. If Greg eats 3 red jelly beans and 6 yellow one, the ratio is 4:5. How many yellow jelly beans were originally in the dish? Which means there were 24 𝑟𝑒𝑑+3 𝑟𝑒𝑑 30 𝑦𝑒𝑙𝑙𝑜𝑤+6 𝑦𝑒𝑙𝑙𝑜𝑤 before he ate the beans, or 27 𝑟𝑒𝑑 36 𝑦𝑒𝑙𝑙𝑜𝑤

Rates What is the difference between a ratio and a rate?

Rates What is the difference between a ratio and a rate? A ratio generally does not have a unit (or if it does, they are the same) and a rate has different units. For example,

Rates Sarah has five chocolate bars, and she can eat all of them in one minute. Joan has ten chocolate bars, and she can eat all of them in one minute.”

Rates The rate by which Sarah eats her chocolate bars is 5 bars/ 1minute; Joan’s rate is 10 bars/1 minute. The ratio between Sarah’s chocolate bars to Joan’s is 5:10 or 1:2. Rate 5 bars/ minute Ratio 1:2

Rate Agenda Notes Homework – Lesson 6.1.3 Homework Practice Due Wednesday, Aug 27 Mid-Chapter Quiz Friday, Aug 29