IM1 – F-I-F-3 – Sorting Out The Change
Linear & Exponential Functions
Mr. Deyo
http://www.uen.org/core/math/downloads/sec1_sorting_out_change.pdf
Title: IM1 – F-IF-3 Sorting Out The Change - Linear & Exp. Functions
Date:
Learning Target
By the end of the period, I will define linear
and exponential functions based on their
patterns of growth.
I will demonstrate this by completing FourSquare Notes and by creating charts of
similarities & differences between problems.
Home Work 1-2-3:
2) Section ______
TxtBk. Problems_________
Solved and Put in Binder?
Date
1) Class 4-Square Notes Put In Binder?
3) Section ______
Notes Copied on blank sheet
of paper in Binder?
Table of Contents
Description
Date Due
Vocabulary
1) Arithmetic Sequence
2) Geometric Sequence
3) Domain
4) Discrete Function
5) Continuous Function
Sketch
Friendly Definition
DAY 2
1. Review word
Friendly Definition
Physical Representation
DAY 1
1. Use Visuals
2.
Introduce the word
Friendly Definition
Physical Representation
3.
Use Cognates
4.
Write friendly definition
5.
Physical Representation
2. Draw a sketch
Word List
Wordwork
1.
2.
3.
4.
Sentence
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
DAY 5
1. Review the word
Friendly definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing
Small Group Discussion
A. Identify the pattern of change in each of the
relations and sort each relation into the following
categories:
• LINEAR (Equal differences over equal intervals)
• EXPONENTIAL (Equal factors over equal intervals)
• Neither
B. Be prepared to describe the pattern of change and
to tell how you found it.
DESCRIPTION
1
GRAPH
EQUATION
TABLE
SUMMARY (Linear /Exp./Neither)
Why?
2
DESCRIPTION
GRAPH
EQUATION
TABLE
n
1
2
3
4
5
20
n
f(n)
SUMMARY (Linear /Exp./Neither)
Why?
DESCRIPTION
The pattern of change in
perimeter from one figure to the next.
3
GRAPH
EQUATION
TABLE
n
1
2
3
4
5
20
n
f(n)
SUMMARY (Linear /Exp./Neither)
Why?
DESCRIPTION
The pattern of change in
area from one figure to the next.
4
GRAPH
EQUATION
TABLE
n
1
2
3
4
5
20
n
f(n)
SUMMARY (Linear /Exp./Neither)
Why?
5
DESCRIPTION
GRAPH
EQUATION
TABLE
x
1
2
3
4
5
20
n
f(x)
SUMMARY (Linear /Exp./Neither)
Why?
DESCRIPTION
6
GRAPH
EQUATION
TABLE
SUMMARY (Linear /Exp./Neither)
Why?
7
DESCRIPTION
GRAPH
The height from the ground of a person
on a Ferris Wheel that is rotating at a
constant speed.
EQUATION
TABLE
n
1
2
3
4
5
20
n
f(n)
SUMMARY (Linear /Exp./Neither)
Why?
8
DESCRIPTION
EQUATION
TABLE
GRAPH
y=x
n
1
2
3
4
5
20
n
f(n)
SUMMARY (Linear /Exp./Neither)
Why?
DESCRIPTION
9
GRAPH
EQUATION
TABLE
SUMMARY (Linear /Exp./Neither)
Why?
10
DESCRIPTION
GRAPH
The algae population in a pond increases
by 3% each year until it depletes its food
supply and then maintains a constant
population.
EQUATION
TABLE
n
1
2
3
4
5
20
n
f(n)
SUMMARY (Linear /Exp./Neither)
Why?
DESCRIPTION
11
GRAPH
EQUATION
TABLE
SUMMARY (Linear /Exp./Neither)
Why?
DESCRIPTION The change in the
12
GRAPH
height of the ball from one bounce to the
next if the ball is dropped from a height
of 8 feet and the ball bounces to 80% of
its previous height with each bounce.
EQUATION
TABLE
n
1
2
3
4
5
20
n
f(n)
SUMMARY (Linear /Exp./Neither)
Why?
DESCRIPTION
13
GRAPH
EQUATION
TABLE
SUMMARY (Linear /Exp./Neither)
Why?
Title: IM1 – F-IF-3 Sorting Out The Change - Linear & Exp. Functions
Date:
Learning Target
By the end of the period, I will define linear
and exponential functions based on their
patterns of growth.
I will demonstrate this by completing FourSquare Notes and by creating charts of
similarities & differences between problems.
Home Work 1-2-3:
2) Section ______
TxtBk. Problems_________
Solved and Put in Binder?
Date
1) Class 4-Square Notes Put In Binder?
3) Section ______
Notes Copied on blank sheet
of paper in Binder?
Table of Contents
Description
Date Due
Vocabulary
1) Arithmetic Sequence
2) Geometric Sequence
3) Domain
4) Discrete Function
5) Continuous Function
Sketch
Friendly Definition
DAY 2
1. Review word
Friendly Definition
Physical Representation
DAY 1
1. Use Visuals
2.
Introduce the word
Friendly Definition
Physical Representation
3.
Use Cognates
4.
Write friendly definition
5.
Physical Representation
2. Draw a sketch
Word List
Wordwork
1.
2.
3.
4.
Sentence
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
DAY 5
1. Review the word
Friendly definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing
Small Group Discussion
A. Identify the pattern of change in each of the
relations and sort each relation into the following
categories:
• LINEAR (Equal differences over equal intervals)
• EXPONENTIAL (Equal factors over equal intervals)
• Neither
B. Be prepared to describe the pattern of change and
to tell how you found it.