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 Four-Square Notes and by creating charts of similarities & differences between problems.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section ______ 3) Section ______ TxtBk. Problems_________ Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

Vocabulary Arithmetic Sequence Geometric Sequence Domain Discrete Function Continuous Function

Vocabulary Acquisition Friendly Definition Sketch Wordwork Sentence DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch DAY 1 Use Visuals Introduce the word Friendly Definition Physical Representation Use Cognates Write friendly definition Word List Vocabulary Acquisition DAY 3 and/or DAY 4 1. Review the word Friendly Definition Physical Representation 2. Show how the word works Synonyms/antonym Word Problems Related words/phrases Example/non-example DAY 5 1. Review the word Friendly definition Physical Representation 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.

GRAPH DESCRIPTION 1 EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why?

GRAPH DESCRIPTION EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why? n 2 EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why? n f(n) 1 2 3 4 5 20

GRAPH DESCRIPTION EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why? n 3 The pattern of change in perimeter from one figure to the next. EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why? n f(n) 1 2 3 4 5 20

GRAPH DESCRIPTION EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why? n 4 The pattern of change in area from one figure to the next. EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why? n f(n) 1 2 3 4 5 20

GRAPH DESCRIPTION EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why? x 5 EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why? x f(x) 1 2 3 4 5 20 n

GRAPH DESCRIPTION 6 EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why?

GRAPH DESCRIPTION EQUATION TABLE 7 The height from the ground of a person on a Ferris Wheel that is rotating at a constant speed. EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why? n f(n) 1 2 3 4 5 20

y = x GRAPH DESCRIPTION EQUATION TABLE SUMMARY (Linear /Exp./Neither) 8 EQUATION y = x TABLE SUMMARY (Linear /Exp./Neither) Why? n f(n) 1 2 3 4 5 20

GRAPH DESCRIPTION 9 EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why?

GRAPH DESCRIPTION EQUATION TABLE 10 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 SUMMARY (Linear /Exp./Neither) Why? n f(n) 1 2 3 4 5 20

GRAPH DESCRIPTION EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why? 11 EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why?

GRAPH DESCRIPTION EQUATION TABLE The change in the 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. DESCRIPTION 12 EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why? n f(n) 1 2 3 4 5 20

GRAPH DESCRIPTION EQUATION TABLE SUMMARY (Linear /Exp./Neither) Why? 13 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 Four-Square Notes and by creating charts of similarities & differences between problems.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section ______ 3) Section ______ TxtBk. Problems_________ Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

Vocabulary Arithmetic Sequence Geometric Sequence Domain Discrete Function Continuous Function

Vocabulary Acquisition Friendly Definition Sketch Wordwork Sentence DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch DAY 1 Use Visuals Introduce the word Friendly Definition Physical Representation Use Cognates Write friendly definition Word List Vocabulary Acquisition DAY 3 and/or DAY 4 1. Review the word Friendly Definition Physical Representation 2. Show how the word works Synonyms/antonym Word Problems Related words/phrases Example/non-example DAY 5 1. Review the word Friendly definition Physical Representation 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.