Welcome to Unit 8 - Exponential & Inverse Functions of Math 3

I will do my best to create a positive learning environment for each of you.
Most weeks we will utilize handfuls of technological tools.

Most Daily/ Weekly assignments will be due the next day.

Tuesday or Thursday Afternoon Office Time (2:30pm - 3:00pm)

Be Your Best, Do Your Best, & Breathe!

Unit 7 Quote: “Education is the key to unlocking the world, a passport to freedom" - Oprah Winfrey

Unit 8 Quote: “The Expert At Anything Was Once A Beginner" - Helen Hayes

Unit 8 - Exponential & Inverse Functions
Objectives

Students will be able to do:

NC.M3.A-SSE.1 Interpret expressions that represent a quantity in terms of its context.
a. Identify and interpret parts of a piecewise, absolute value, polynomial, exponential and rational expressions including terms, factors, coefficients, and exponents.
b. Interpret expressions composed of multiple parts by viewing one or more of their parts as a single entity to give meaning in terms of a context.
NC.M3.A-SSE.2 Use the structure of an expression to identify ways to write equivalent expressions.
NC.M3.A-SSE.3 Write an equivalent form of an exponential expression by using the properties of exponents to transform expressions to reveal rates based on different intervals of the domain.
NC.M3.A-CED.1 Create equations and inequalities in one variable that represent absolute value, polynomial, exponential, and rational relationships and use them to solve problems algebraically and graphically.
NC.M3.A-CED.2 Create and graph equations in two variables to represent absolute value, polynomial, exponential and rational relationships between quantities.
NC.M3.F-BF.4 Find an inverse function.
a. Understand the inverse relationship between exponential and logarithmic, quadratic and square root, and linear to linear
b. Determine if an inverse function exists by analyzing tables, graphs, and equations.
c. If an inverse function exists for a linear, quadratic and/or exponential function, f, represent the inverse function, f -1 , with a table, graph, or equation and use it to solve problems in terms of a context.
NC.M3.F-LE.3 Compare the end behavior of functions using their rates of change over intervals of the same length to show that a quantity increasing exponentially eventually exceeds a quantity increasing as a polynomial function.
NC.M3.F-LE.4 Use logarithms to express the solution to 𝑎𝑏 𝑐𝑡 = 𝑑 where 𝑎, 𝑏, 𝑐, and 𝑑 are numbers and evaluate the logarithm using technology.

May 23^rd

May 24^th

May 25^th

May 26^th

May 27^th

Unit 9 Packet

PDF Version

Monday

Tuesday

Wednesday

Thursday

Friday

Math 3
Topic/Concept

Creating & Solving Logarithmic Functions & Intro to Inverses

Exponential Growth & Decay, Inverse Functions, and
Project Plan Time

Compound Interest, Inverse Functions, and Quiz

Variation Word Problems, Inverse Equations, Review,
& Project Plan Time

Unit Test 8 - Exponential & Logarithmic Functions

Week 19

Discuss Statistics & Probability Information PowerPoint # 1 Download PowerPoint # 1 PowerPoint #2

2^nd & 3^rdPeriod

1. Discuss National Events, Discuss HW Charts, Career Project Guidelines, & Mixed EOC Review # 25-27

2. Logarithmic Equation Examples

# 1, 3, 5, 11, 13, Graphs =

2^nd Period

3^rd Period

3. Your Turn = Worksheet Pages 35 - 39

1. Mixed EOC Review # 28-30

2. Math 1 Review = Watch & Take Notes on the Exponential Growth & Decay Video Clip # 1
3. Watch & Take Notes on Video Clip # 2
4. Exponential Growth & Decay #2 - 8 Even Examples =

2^nd Period

3^rd Period

5. Kahoot

6. Project Plan Time - Create 1 career related math problem about Unit 7 or Unit 8 (EC = both units) in addition to your 11 slide career project presentation - Final Project due Jun 1^st= Quiz Grade

Career Exploration Project Sheet

1. Compound Interest Website Examples - Current Information

. Worksheet Examples

=

2^nd Period

3^rd Period

2. Discuss the LAST 9 Grades in Math 3!!!

3. Quiz

Part 1

Part 2

Part 3

4. Grade Pow -wows

5. Work on Career Project Presentation = Quiz Grade

6. Any student who scored below 60 on the Unit 7 Test can do the Delta Math Test Recovery Opportunity to be averaged with the UT 7 grade that is in Power School = due May 31^st by 7am.

1. Inverse Equation Examples - Page 45 - 47

=

2^nd Period

3^rd Period

2. Inverse, Direct, & Joint Variation Word Problems # 1, 4, 16, 17

3. Your Turn

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31

11

32

12

33

13

34

14

35

15

36

4. Project Plan Time - Google Slides, Canva, Powerpoint, Prezi, Powtoons, Emaze, etc.

5. Mixed EOC Review # 31-36

6. Finish Grade Pow - wows

7. Work on Career Project Presentation = Quiz Grade

Unit Test 8

Low Classwork or Homework Replacement = Schoolnet Opportunity due Tuesday

Code - DE3ZA6JU5

Study - Fall 2015 Released Items Final Exam

IMPORTANT FORMULAS!!!

HW 1 - Canvas Upload due Tuesday @ 7am

Finish Worksheet Pages 35 - 39

Unit 7 and 8 by completing these practice problems and check your answers here.

NC EOC Tutorial Information

Evaluate Logarithms
Change of Base
Solving Exponential Equations
Inverse Functions

Unit 5 and 6 by completing these practice problems and check your answers here.

Khan Academy - 4 Assignments

Unit 3 and 4 by completing these practice problems and check your answers here.

Khan Academy - 4 Assignments

Review Worksheets & Answers

Unit 1 and 2 by completing these practice problems and check your answers here.

- Click on the (NC EOC Information Link) and select the "Released Items" Tab.

- Under Test Type - Select EOC

- Under Test Name - Select NC Math 3

- Click - Login - Start - Ok - Do the 3 Sample Problems

- Click - Next - Continue

2. The Sample Released Exam Problems will appear on the screen.

- Career Project

- Schoolnet Assignment

Math 3 Songs

The Last 9 Grades in Math 3!!!!

Unit 8 Quiz - Part 1, 2, & 3

Unit Test 8

Khan Academy - 4 Assignments

(Unit 7 Test Recovery)

Schoolnet Classwork/Homework Replacement Opportunity

Week 19 - HW 1

Career Presentation Quiz

EOC Classwork Review Grade (25 possible points per day)

Final Exam = June 9^th @ 7:25am

National Events

May 23rd

May 24th

May 25th

May 26th

May 27th

May 28th

May 29th

Inverse Function - Video Clip

Direct, Inverse, & Joint Variation - Video Clip

Take Notes on the Video Clip on the Unit Circle

How the Sine and Cosine Graphs are made from the Unit Circle values

Video on Drawing Angles in Standard Position

Unit 6 Review Video

Unit Circle Video

Trig Graphs - Part 1 Video

Trig Graphs - Part 2 Video

Unit 7 Review Video

Standard Position Angles Video

Extra Math Help - WCPSS K - 12 Mathematics

Keep up the Good Work for this Semester in All of Your Classes!

Stay Safe, Do Your Best, Give Your Best,


Math 3 Logarithmic Rules