SPI 1.1 DRT

Question 1

What are units of measurement commonly for distance?

Answer 1

• miles
• kilometers
• meters
• yards
• feet
• inches

Question 2

What are units of measurement commonly used for rate?

Answer 2

• miles per hour
• kilometers per hour
• meters per second

Question 3

What units of measurement commonly used for time?

Answer 3

• hours
• minutes
• seconds
• days
• weeks

Question 4

What is the formula for calculating distance?

Answer 4

rate times time

Question 5

What is the formula for calculating rate?

Answer 5

distance divided by time

Question 6

What is the formula for calculating time?

Answer 6

distance divided by rate

Question 7

If you are given a certain number of minutes, how do you convert that to a fraction and a decimal part of an hour?

Answer 7

1. Write the number of minutes you are given in numerator.
2. Write 60 minutes in denominator.
3. Then simplify the fraction or divide for a decimal representation.

Question 8

Why does time (like 15 minutes, 45 minutes, 1 hour and 30 minutes) have to be converted to a fraction or a decimal?

Answer 8

So that the units are the same.

For example, if you travel for 20 minutes at 30 miles per hour, you haven’t traveled (20 x 30) or 600 miles.

You’ve traveled (20/60 x 30) or 10 miles.

Question 9

What fractional and decimal part of an hour is 15 minutes?

Answer 9

• 15 minutes/60 minutes
• = 15/60
• = 1/4 as a fraction
• = 0.25 as a decimal

Question 10

What fractional and decimal part of an hour is 20 minutes?

Answer 10

20 minutes/60 minutes

= 20/60

= 1/3 as a fraction

= 0.3 repeating as a decimal

Question 11

What fractional and decimal part of an hour is 10 minutes?

Answer 11

• 10 minutes/60 minutes
• = 10/60
• = 1/6 = 0.16 repeating

Question 12

What fractional and decimal part of an hour is 1 hours and 15 minutes?

Answer 12

• 1 hours + 15 minutes/60 minutes
• = 1 + 15/60
• =1 + 1/4
• =1 1/4 or 1.25

Question 13

Is this a distance, rate, or time problem?

A bicycle travels 20 miles at 10 miles per hour on a bike trail. How long does it travel?

Answer 13

time

Question 14

What triangle helps you remember the formulas for distance, rate, and time?

Answer 14

Question 15

To solve drt problems, __________ are necessary.

Answer 15

graphic organizers

Question 16

A graphic organizer that you can draw to solve problems is _____.

Answer 16

Question 17

What are the three types of distance, rate, time problems?

Answer 17

• round trip
• same direction
• opposite direction

Question 18

How is distance used for a round trip problem?

Answer 18

d1 = d2

Set the distance of both objects equal.

(Because the distance to a destination and the distance back from the destination are equal.)

Question 19

How is distance used in a same direction problem?

Answer 19

d1 = d2

Set the distances equal.

(Becasue when the second object catches up with the first object, both will have traveled the same distance.)

Question 20

How is distance used in an opposite direction problem?

Answer 20

d1 + d2 = dtotal

Add the distances traveled by each object and set equal to the total distance.

(Because when two objects are traveling in oppsite directions, the distance of the first object plus the distance of the second object is equal to the total distance.)