Finding Rate of Change

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

Joseph Anderson

FREE Resource

5 Slides • 15 Questions

Finding the Average Rate of Change!

We will find the average rate of change (A.R.C.) from function

Tables
Graphs
Equations

Happy learning!

Take a minute to think...

Multiple Choice

What are the x-values they are talking about?

$x=6\ and\ x=18$

$x=12\ and\ x=24$

$x=19\ and\ x=49$

$x=49\ and\ x=29$

Multiple Choice

Which is the correct math to find the average rate of change?

$\frac{29-49}{6-18}$

$\frac{18-6}{49-29}$

$\frac{49-29}{18-6}$

$\frac{29-49}{18-6}$

Multiple Choice

What is the average rate of change?

$-\frac{5}{3}$

$-\frac{3}{5}$

$\frac{5}{3}$

$\frac{3}{5}$

Multiple Choice

What is the average rate of change?

$-\frac{1}{2}$

$\frac{3}{5}$

$\frac{5}{3}$

$\frac{3}{2}$

Drag and Drop

The average rate of change is

Drag these tiles and drop them in the correct blank above

Drag and Drop

The average rate of change is

Drag these tiles and drop them in the correct blank above

Open Ended

How would you find the average rate of change of the graph? What are you concentrating on?

Type response here

Drag and Drop

The coordinates are (

-9

)

and (

1

Drag these tiles and drop them in the correct blank above

Multiple Choice

What is the average rate of change?

$\frac{2}{5}$

$\frac{5}{2}$

$-5$

$-1$

$-3$

Drag and Drop

The coordinates are (

-3

)

and (

3

Drag these tiles and drop them in the correct blank above

Multiple Choice

What is the average rate of change?

$\frac{2}{5}$

$\frac{5}{2}$

$1$

$-1$

$-3$

Open Ended

Given the function $h\left(x\right)=-x^2-x+5$ determine the average rate of change of the function over the interval $-6\le x\le2$ .

How will you do this?

Type response here

Multiple Choice

Given the function $h\left(x\right)=-x^2-x+5$ determine the average rate of change of the function over the interval $-6\le x\le2$ .

$\frac{-1--25}{2--6}=\frac{24}{8}=3$

$\frac{-25--1}{6--2}=-\frac{24}{8}=-3$

$\frac{2--6}{-25--1}=\frac{8}{-24}=-\frac{1}{3}$

Multiple Choice

Given the function $f\left(x\right)=x^2+3x-1$ , determine the average rate of change of the function over the interval $-3\le x\le4$ .

$\frac{4--3}{27--1}=\frac{7}{28}=\frac{1}{4}$

$\frac{-1-27}{4--3}=\frac{-28}{7}=-4$

$\frac{27--1}{4--3}=\frac{28}{7}=4$

Open Ended

What do $\frac{\Delta y}{\Delta x}$ , $\frac{change\ of\ output\ values}{change\ of\ input\ values}$ , $\frac{y_2-y_1}{x_2-x_1}$ and $\frac{f\left(b\right)-f\left(a\right)}{b-a}$ all have in common?

Type response here

Finding the Average Rate of Change!

Show answer

Auto Play

Slide 1 / 20

SLIDE

Similar Resources on Wayground

17 questions

Factoring Trinomials a = 1 Lesson

Presentation

•

9th - 12th Grade

17 questions

4.2 - Quadratics in Standard Form

Presentation

•

9th - 12th Grade

12 questions

Graphing Linear Inequalities Review

Presentation

•

9th - 12th Grade

15 questions

9/1 Increasing, Decreasing, and Constant Intervals

Presentation

•

9th - 12th Grade

15 questions

Inscribed Angles

Presentation

•

9th - 12th Grade

15 questions

Properties of Logs

Presentation

•

9th - 12th Grade

14 questions

Trapezoids and Kites

Presentation

•

9th - 12th Grade

14 questions

Simplifying Rational Expressions

Presentation

•

9th - 12th Grade

Popular Resources on Wayground

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

10 questions

HCS SCI 03 Summer School Review 3

Quiz

•

3rd Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

15 questions

HCS SCI 05 Summer School Assessment 3 Review

Quiz

•

5th Grade

35 questions

Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz

•

7th Grade

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade

Discover more resources for Mathematics

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade