MM AP PRECAL - 1.1

Presentation

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.IF.A.2, 8.F.A.1, RI. 9-10.7

Standards-aligned

David Granda

FREE Resource

6 Slides • 9 Questions

1.1 Functions and Function Notation

Read the Scenario

Match

Which is the input

which is the output

Input

Output

Possible

Function Name

Age (years)

Max Heart Rate

(bpm)

$h\left(x\right)$

$f\left(x\right)$

Open Ended

1a. Describe the relationship between age and maximum heart rate.

(use a full sentence to describe the behavior)

Type response here

Open Ended

b. Predict the maximum heart rate of a 35-year-old. Explain your method.

(base your answer from the table)

Type response here

Compare your
answers.
Do they agree with your response?

Poll

Is it better to read the book first, or watch the movie adaptation? 📚

Book First

Movie First

Book Only

Movie Only

Multiple Choice

Use the graph to answer the question

2a. What is the maximum heart rate of a 60-year-old?

160 BPM

160 Years

100 BPM

80 Years

Cannot be determined

Multiple Choice

2a. What is the maximum heart rate of a 60-year-old?

If the heart rate is 160 BPM,

what's the proper notation to express this fact?

$f\left(60\right)=160$

$f\left(160\right)=60$

$f\left(x\right)=160$

Multiple Choice

Use the graph to answer the question

2b. What age would you predict for someone who has a maximum heart rate of 200 bpm?

0 years old

10 years old

20 years old

30 years old

you need the equation

to figure that out.

Math Response

Use the graph to answer the question

2c. Write an equation that that can be used to determine the maximum heart rate of someone who is 𝑥 years old.

Find the slope and y-intercept (f(x)=mx+b)

f(x)= ____________________

Type answer here

Deg^°

Rad

How far off were your answers?

Open Ended

2d. What do you think are reasonable values for x in your equation? Explain.

Think about the age of a human, what are ages that are impossible.

Can you come up with a realistic range for a human's age (max and min)?

Type response here

1.1 Functions and Function Notation

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