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Rate of Change Worksheet

Explore the concept of rate of change with this Grade 6 math worksheet, featuring questions on calculating and interpreting rates from tables and graphs.

Grade 6 Math Functions OperationsRate of Change
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Fill in the BlanksMultiple Choice2 Short AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.6.RP.A.2CCSS.MATH.CONTENT.6.RP.A.3

Topics

rate of changeratioproportiongrade 6math
8 sections · Free to use · Printable
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Rate of Change

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Read each question carefully and answer to the best of your ability. Show all your work for calculations.

1. Rate of change describes how one quantity   in relation to another quantity.

2. If a car travels 120 miles in 2 hours, its average rate of change (speed) is   miles per hour.

3. A constant rate of change can be represented by a   line on a graph.

1. Which of the following best describes the rate of change?

a

The total amount of something.

b

How fast something is growing or shrinking.

c

The shape of an object.

d

The starting point of a journey.

2. A plant grew from 5 cm to 15 cm in 5 days. What was its average rate of growth?

a

1 cm/day

b

2 cm/day

c

3 cm/day

d

4 cm/day

1. A cyclist travels 45 miles in 3 hours. What is the cyclist's average speed in miles per hour?

2. The temperature in a city dropped from 25°C to 10°C in 5 hours. What was the average rate of temperature change per hour?

The graph below shows the distance a robot traveled over time.

Robot's Travel Distance Over Time 0 10 20 30 40 50 Distance (meters) 0 1 2 3 4 Time (seconds)

1. What is the robot's rate of change (speed) between 0 and 1 second?

2. What is the robot's rate of change (speed) between 2 and 3 seconds?

3. During which time interval did the robot move the fastest?

1. A horizontal line on a distance-time graph indicates a zero rate of change.

T

True

F

False

2. The rate of change is always a positive value.

T

True

F

False

1. Sarah is saving money. In January, she had $50. In April, she had $110. What is her average rate of saving per month?