Graphing Relationships

Graphing Relationships

LEARNING GOALS:

- Match simple graphs with situations

- Graph a relationship

_{Credits: Mr. Zach.Z}

Graphs are a way to turn words into pictures.

Be sure to read the graphs from LEFT to RIGHT.

Increasing

Imagine a car suddenly accelerates, the speed will keep on increasing

Decreasing

Imagine a car slowing down till it comes to a stop

Stays the same

Imagine a car going at a constant speed

Example 1

Divide the graph into sections where the graph changes directions. Then label the sections as:

- increasing

- decreasing or

- same

Example 2

Divide the graph into sections where the graph changes directions. Then label the sections as:

- increasing

- decreasing or

- same

Multiple Choice

Which of these sections are increasing?

• B and E

• A and D

• A

• C

Multiple Choice

Which of these sections are decreasing?

• B and E

• A and D

• A

• C

Multiple Choice

Which of these sections are same (neither increasing nor decreasing)?

• B and E

• A and D

• A

• C

A graph can be continuous or discrete.

Continuous means the situation can include fractions or decimals.

A graph can be continuous or discrete.

Discrete means the situation must have only specific amounts.

TEST YOURSELF!!!

Sketch a graph of each situation. Tell whether the graph is continuous or discrete.

Example 1:

The heart rate of someone walking, then running, then resting.

TEST YOURSELF!!!

Sketch a graph of each situation. Tell whether the graph is continuous or discrete.

Example 1:

The heart rate of someone walking, then running, then resting.

TEST YOURSELF!!!

Sketch a graph of each situation. Tell whether the graph is continuous or discrete.

Example 2:

Ivy is selling ice cream. Each ice cream costs $1.50.

She has 6 ice creams to sell.

TEST YOURSELF!!!

Sketch a graph of each situation. Tell whether the graph is continuous or discrete.

Example 2:

Ivy is selling ice cream. Each ice cream costs $1.50.

She has 6 ice creams to sell.

Multiple Choice

Which of the following situations
corresponds to this graph? 

• A bicyclist accelerates from a stop, travels at a constant speed, then slows to a stop.
• A car accelerates from a stop,
  travels at a constant speed, slows,
  and then travels at a slower speed.

Multiple Choice

Which of the following situations
corresponds to this graph?

• A car, accelerates from a stop,travels at a constant speed, slows,
  and then travels at a slower speed.
• An airplane travels at a constant
  speed then decelerates to a slower speed.
• An athlete warms up by walking
  around the track, runs, then jogs.
• A bicyclist accelerates, travels at a
  constant speed, then slows to a
  stop.

Multiple Choice

A driver stopped her car for a traffic light. After waiting for the light to turn green, then the driver continued on her way

Multiple Choice

Emma drove at a constant speed.

Multiple Choice

Mary walked at a steady pace toward the car.

Multiple Choice

How long did Sam sit on the bench and wait for the bus?

• 5 min
• 10 min
• 15 min
• 20 min