Tuesday, Oct 30

5 Minute CheckSimplify. Complete on the back of your homework. (1st and last name on homework) 61. 16

452. 63

903. 120

64. 245 Minute CheckSimplify. Complete on the back of your homework. 6 3 2 31. 16 = 2 2 2 2 = 8

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

5 Minute CheckSimplify. Complete on the back of your homework. 45 335 52. 63 = 3 3 7 = 7

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

5 Minute CheckSimplify. Complete on the back of your homework. 90 2335 33. 120 = 2 2 235 = 4

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

5 Minute CheckSimplify. Complete on the back of your homework. 6 23 14. 24 = 2 2 23 = 4

Inquiry LabOpen your book to page 27Inquiry Lab

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

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Tuesday, Aug 26Lesson 6.1.3

Rates

Rates Objective: To understand and determine unit rates.

RatesA 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 busesRatesA 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

RatesSamantha 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).

RatesSamantha 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

RatesSamantha picked 45 oranges in 5 minutes. How many oranges did she pick per minute (unit rate).

Step 2 Simplify. 45 oranges 5 minutes

RatesSamantha 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

RatesSamantha 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?

RatesSamantha 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.

RatesStep 3 reminder

3 7 =

RatesFour potted plants cost $24. What is the price per plant (unit price)?

Step 1?

RatesFour 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?

RatesFour 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.

RatesFour potted plants cost $24. What is the price per plant (unit price)?

Step 2?24 dollars 4 plants

RatesFour potted plants cost $24. What is the price per plant (unit price)?

Step 3 - ?

24 dollars 6 dollars 4 plants = 1 plant

RatesFour potted plants cost $24. What is the price per plant (unit price)?

6 dollars 1 plant

What does this mean?

RatesFour potted plants cost $24. What is the price per plant (unit price)?

6 dollars 1 plant

6 dollars per plant.

RatesDavid earned $28 last night working 4 hours. How much did he earn per hour?

Do this on your own.

RatesDavid 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?RatesDavid earned $28 last night working 4 hours. How much did he earn per hour?

7 dollars1 hours

David earned 7 dollars per hour.

RatesYou walked 15 miles in 2 hours last night. How many miles per hour did you walk?

Do this on your own. RatesYou 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.

RatesTom sold 12 books for $9. How much did he make per book?

Do this on your own.

RatesTom 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?

RatesTom 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.

RatesThe Australian dragonfly can travel 18 miles in 30 minutes. How far can it travel in 1 minute?

Do this on your own.

RatesThe 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

RatesWrite the unit rate.

34 miles in 2 hours.

RatesWrite the unit rate.

34 miles 17 miles2 hours = 1hour

Or 17 miles per hour

RatesAnna downloaded 35 songs in 5 minutes. How many songs does she download per minute?

Do this on your own.

RatesAnna downloaded 35 songs in 5 minutes. How many songs does she download per minute?

35 songs 5 7 songs5 minutes 5 = 1 minute

How many songs can she download in 8 minutes?RatesAnna 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 songs1 minute x 8 minutes = 8 minutesRatesMolly 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)

RatesMolly shot 20 baskets in 4 minutes. Nino shot 42 baskets in 6 minutes. Who shot the most baskets per minute?

MollyNino

20 baskets 4 42 baskets 64 minutes 46 minutes 6

5 baskets7 baskets 1 minute1 minute

5 baskets per minute7 baskets per minute

RatesMarcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container?

(Do this on your own)

RatesMarcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container?

40.8 gallons 8 5.1 gallons8 containers 8 = 1 container

5.1 gallons per container

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

Rates

RatesThe 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?

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RatesWhat is the difference between a ratio and a rate?

RatesWhat 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,

RatesSarah has five chocolatebars, 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.

RatesThe rate by which Sarah eats her chocolate bars is 5 bars/ 1minute; Joans rate is 10 bars/1 minute. The ratio between Sarahs chocolate bars to Joans is 5:10 or 1:2.

Rate 5 bars/ minute

Ratio 1:2

RateAgenda NotesHomework Lesson 6.1.3 Homework PracticeDue Wednesday, Aug 27

Mid-Chapter Quiz Friday, Aug 29