So you want to take a walkStandard 7.RP: Compute unit rates associated with ratios of fractions.

Please discuss in your groups

What is the relationship between rate, time and distance?

Be prepared to discuss with the entire class

How do we talk about distance, time and rate?

• If you were going to tell me how fast you were walking how would you express it?

• How are rate, time and distance reflected in your explanation of how fast you walked?

• How would you express it if you were driving, or running. Is the underlying concept any different?

Discuss in groups and be prepared to discuss it as a class.

Metric System Conversion Chart

Abbreviations

• Common Length Unit Abbreviations:•

millimeters = mm centimeters = cm inches = in meters = m feet = ft kilometers = km miles = miles

Conversion tablesMetric Conversions

1 centimeter1 meter1 kilometer

= 10 millimeters= 100 centimeters= 1000 meters

1 cm1 m1 km

= 10 mm= 100 cm= 1000 m

Standard Conversions

1 foot1 yard1 yard1 mile

= 12 inches= 3 feet= 36 inches= 1760 yards

1 ft1 yd1 yd1 mi

= 12 in= 3 ft= 36 in= 1760 yd

Metric to Standard

1 millimeter1 centimeter1 meter1 meter1 meter1 kilometer1 kilometer

= 0.03937 inches= 0.39370 inches= 39.37008 inches= 3.28084 feet= 1.09361 yards= 1093.6133 yards= 0.62137 miles

1 mm1 cm1 m1 m1 m1 km1 km

= 0.03937 in= 0.39370 in= 39.37008 in= 3.28084 ft= 1.09361 yd= 1093.6133 yd= 0.62137 mi

Standard to Metric

1 inch1 foot1 yard1 yard1 mile1 mile

= 2.54 centimeters= 30.48 centimeters= 91.44 centimeters= 0.9144 meters= 1609.344 meters= 1.609344 kilometers

1 in1 ft1 yd1 yd1 mi1 mi

= 2.54 cm= 30.48 cm= 91.44 cm= 0.9144 m= 1609.344 m= 1.609344 km

• If a person walks ½ mile in each ¼ hour, compute the unit rate as the complex fraction

½ / ¼.

Questions to consider

How is this fraction related to a ratio? Is there any difference? What elements are we using to explain our rate?

Solve this using a mathematical model in groups. Be prepared to discuss your model with your class.

Have them count in non standard measurement

• We are going to use the Outside Unit Packet• With a partner count the number of steps in 10 feet then

switch and have your partner count. Are they the same. Why or why not?

• With a partner count the number of Mississippi's in 10 feet then switch. Are they the same. Why or why not?

• How is counting using Mississippi potentially problematic? Discuss in groups and then be prepared to discuss as a class.

Outside Unit Tables

You PartnerNumber of steps taken in 10 feet

Number of Mississippi’s taken in 10 feet

Multiply Steps taken in 100 feet

Steps taken in 10 feet

YouPartner

X 10X 10

Mississippi’s taken in 10 feet

You Partner

X 10X10

Mississippi’s taken in 100 feet

Multiply Steps taken in 1000 feet

Steps taken in 10 feet

YouPartner

X 100X 100

Mississippi’s taken in 10 feet

You Partner

X 100X100

Mississippi’s taken in 1000 feet

Multiply Steps taken in 10000 feet

Steps taken in 10 feet

YouPartner

X 1000X 1000

Mississippi’s taken in 10 feet

You Partner

X 1000X1000

Mississippi’s taken in 10000 feet

Putting it together

Rate =D T

Time = D T

Distance =R T

You steps Mississippi’s Partner

Number of Mississippi’s (taken from first table)

Number of steps (taken from first table)

10 feet

Partner steps Mississippi’s

Number of Mississippi’s (taken from first table)

Number of steps (taken from first table)

Question: Based on the data from your table how long would it take you to travel 5 miles?

How long would it take your partner to travel 5 miles? Draw a table to organize your information. Hint Use your rate and times from the above table. There are 5,280 feet in a mile.

Extension

Challenge: How long would it take you to travel 5 Kilometers?

Hint there are 2.54 cm in one inch. Please make use of the metric system graphic organizer on the website.