M1­ 2.2 Conversions

1

September 07, 2019

Mar 16­1:39 PM

M1­ 2.2 Conversions

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September 07, 2019

Jun 20­10:53 AM

learning targets

M1­ 2.2 Conversions

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September 07, 2019

Review... what is the unit rate?Write it as (1, r) (1, 40)y = miles

x = hours= 80 miles

2 hours= 40 miles

1 hour

M1­ 2.2 Conversions

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September 07, 2019

Aug 13­12:24 PM

/ / #

Examples: Notes:

EQ: How can you write ratios of fractions as unit rates in order to solve problems?

M1- 2.2 Solving Problems with Ratios of Fractions

Complex Ratio: A ratio/rate in which one or both of the quantities being compared are written as fractions.

> Making Unit Rates: divide the denominator by that fraction to get 1.– Multiply by the reciprocal!4

1

41 =

=2 in1 hour

The bug travels ½ inch in ¼ hour.

M1­ 2.2 Conversions

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September 07, 2019

Mar 16­4:14 PM

22 miles½ hour

300 yards½ minute

20 yards2½ seconds

200 yards minute5

6

page 62

M1­ 2.2 Conversions

6

September 07, 2019

22 miles½ hour

Ostrich

300 yards½ minute

Roadrunner

20 yards2½ seconds

Quail

200 yards minute5

6

Pheasant

page 64

M1­ 2.2 Conversions

7

September 07, 2019

12 in1 ft

63 in=5.25 ft1

Ahmed is 5.25 feet tall. How tall is he in inches?

M1­ 2.2 Conversions

8

September 07, 2019

30.48 cm1 ft

1463.04 mm=10 mm1 cm

4.8 ft1

Sophia is 4.8 feet tall. How tall is she in millimeters?1 cm = 0.39 in

M1­ 2.2 Conversions

9

September 07, 2019

=20 gal1 min

1 min60 sec

4 qts1 gal

80 qts60 sec

1.33 qts1 sec

=

The pool fills at a rate of 20 gallons per minute. What is the rate in quarts per second? (Round to the hundredths place)

M1­ 2.2 Conversions

10

September 07, 2019

Lori walks 5 miles per day to school. Convert to kilometers per minute. (Round to the thousandths place)

5 mi1 day

=1.61 km1 mi

1 day24 hr 60 min

8.05 km1440 min

= .006 km1 min

1 hr

1 mi = 1.61 km

M1­ 2.2 Conversions

11

September 07, 2019

Mar 17­7:48 PM

K H D U D C MM

6 km1 hour 1 km

1,000,000 mm 1 hour60 min

1 min60 sec

= 6,000,000 mm3600 seconds

5,000 mm3 sec

1666 23

mm

1 second= 1666.67mm

1 second=

=

M1­ 2.2 Conversions

12

September 07, 2019

Mar 17­8:19 PM

You can rent a recording studio for $1,275.00 per day.

What is the rate of English Pounds (£) per year?

($1.31 = £1)

$12751 day

£1$1.31

365 days1 year

= £465,3751.31 years

=

£355,248.091 year

M1­ 2.2 Conversions

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September 07, 2019

Mar 17­8:05 PM

K H D U D C MM

M1­ 2.2 Conversions

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September 07, 2019

Mar 17­8:05 PM

1.2 km1 hour 1 km

100,000 cm 1 hour60 min 60 sec

1 min = 120,000 cm3600 sec

= 100 cm3 sec

33 13

cm per second

=

33.33 cm1 sec

=

M1­ 2.2 Conversions

15

September 07, 2019

Mar 17­8:28 PM

Homework: Dimensional Analysis WorksheetSHOW ALL WORK!!!