Analyzing Graphs

Even More Graphs of
Functions

Lesson # 6

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2019 Open Up Resources |

Let’s draw a graph
from a story.

Our Goal - Two Day Lesson

❏ I can draw the graph of a function that represents a

real-world situation.

Dog Run

Warm Up 6.1

Activate: Activity 6.1

What is happening in this succession of
pictures?

Open Ended

What happened in the photos?

What is happening in this succession of
pictures?

●Work 1-2 minutes
quietly

●Share your thinking
with your partner and
try to make sense of
their thinking

Open Ended

Compare Diego's graph and Lin's graph.

What did Diego use for the dependent variable?

What did Lin use for the dependent variable?

Which Graph is It?

Activity 6.2
●MLR8: Discussion Supports

Comprehend/ Apply:
Activity 6.2

● What graph best fits the situation?
● What independent and dependent

variables were used to create it?

Discuss with your partner (1-2 min)

Open Ended

Which graph best fits the situation?

What independent and dependent variables were used?

For each situation,

●name the independent and
dependent variables

●pick the graph that best fits
the situation, or sketch the
graph if one isn't provided

●label the axes

●answer the question: which
quantity is a function of
which? Be prepared to
explain your reasoning.

Open Ended

Name the independent and dependent variables.

Which quantity is a function of which?

Explain the graph that best fits the situation.

Draw

Name the independent and dependent variables.

Label the axes.

Draw the graph that best fits the situation.

Which quantity is a function of which?

Let’s Talk About It
Organize: Activity 6.2 Synthesis

Open Ended

Write a story about the graph.

I can't wait to see what you write :)

Sketching a Story about a
Boy and a Bike

Activity 6.3
●Group Presentations

●MLR2: Collect and Display

●MLR6: Three Reads

Comprehend/
Apply: Activity 6.3

​If time permits, we will complete in groups.

I will give you tools for creating a visual display. With your group,
create a display that shows your response to each question.

Here is a story: “Noah was at home. He got on his bike and rode to his friendʼs house and stayed there for
awhile. Then he rode home again. Then he rode to the park. Then he rode home again.”

1.Create a set of axes and sketch a graph of this story.

2.What are the two quantities? Label the axes with their names and units of measure. (For example, if
this were a story about pouring water into a pitcher, one of your labels might say “volume (liters).”)

3.Which quantity is a function of which? Explain your reasoning.

4.Based on your graph, is his friendʼs house or the park closer to Noah's home? Explain how you know.

5.Read the story and all your responses again. Does everything make sense? If not, make changes to
your work.

Draw

“Noah was at home. He got on his bike and rode to his friendʼs house and stayed there for
awhile. Then he rode home again. Then he rode to the park. Then he rode home again.”

Create a set of axes.

Label axes with units.

Sketch graph.

Which is closer? The friend's house or park?

Explain your reasoning.

Review your sketch.

Which quantity is a function of which?

Does everything make sense?

Walking Home From School

Cool Down 6.4

Apply/ Summarize:
Activity 6.4

Open Ended

Which graph fits Elena's story.

What are the independent and dependent variables?

Which quantity is a function of which?

Explain your reasoning.

Let's Practice Test Problems

Mastery Connect

Practice

Multiple Choice

What is true about this graph?

• x-values remains constant

• y-values remain constant

• y decreases as x increases

• y increases as x decreases

Multiple Choice

What total amount of time did Lee spend running at a constant speed?

• 10 minutes

• 20 minutes

• 40 minutes

• 50 minutes

Multiple Choice

Which statement correctly describes how the objects speed changes?

• The object speeds up twice.

• The object slows down twice.

• The object speeds up and then slows down.

• The object slows down and then speeds up.

Multiple Choice

Which situation is best illustrated by the graph?

• Timmy puts his drink in the refrigerator, removes it, and places it in the freezer.

• Tonya puts her drink in the microwave, heats it, and then drinks it very slowly.

• Lindsey sets her drink on the table and it warms to room temperature.

• Michael puts ice in his drink and then drinks it very slowly.

Multiple Choice

How fast was the car traveling in miles per hour (mph) between 25 minutes and 40 minutes?

• speeds between 20 mph and 50 mph

• speeds between 35 mph and 0 mph

• a constant speed of 40 mph

• a constant speed of 50 mph

Multiple Choice

Which statement best describes the horizontal segment of the graph in Months 7 through 12?

• The rate of sales was 25 backpacks per month.

• The rate of backpacks not sold was 25 per month.

• There was an increase of 5 backpacks sold per month.

• There was an increase of 5 backpacks not sold per month.

Multiple Choice

Select the best choice.

• A runner sprints, jogs, sprints, jogs back to the starting point, and stops.

• The sales of games increases all day on Saturday and no sales are made on Sunday.

• A dirt-bike rider’s speed slowly decreases going up a hill and greatly increases on the way down.

• • 
    

    In a short dash a runner quickly increased his speed, reached a maximum, and just as quickly decreased his speed.

Goal Met

❏ I can draw the graph of a function that represents a

real-world situation.