 # Algebra II 1st Semester

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## Chapter 1

### Video - Recursive Sequences

Introduce Arithmetic and Geometric recursive sequences

### Video - Modeling Growth and Decay

How to write the common ration in order to represent percent growth with a geometric sequence.

### Video - Compound Interest

Using a geometric sequence to model compound interest problems

### Video - writing recursive formulas

example problems, writing the recursive formula given a sequence

### Video - growth and decay story problems

example story problems solved by writing the recursive formula of a geometric sequence

### Video - Long Term Value and Shifted Geometric Sequences

Define long term value and shifted geometric sequences. Show how to find a long term value from a recursive formula.

### Video - Long term value problems

example problems, one given a recursive formula and one story problem.

### Long Term Value Sept 8

Finish Investigation, How to find the Long Term Value

### Notes - Section 1.5 Sept 12

Story Problem Example of Compound Interest

### Notes - Growth and Decay

Introducing Percent Growth and Decay (Dec 6)

## Unit 2 (Chapter 3)

### Notes - Section 3.1 Explicit formula (Sept 15-16)

Introduction, connecting sequences to Linear equations

### Video - Writing and explicit Formula

The basic relation between the recursive formula and the explicit formula

### Video - examples of writing explicit formulas

When you are not given the u(0) term

### Video - Fitting a line to data

Starting with a data set - write the equation of a line of fit

### Fitting a line data Period 1

First page of Numb3rs Activity

### Fitting a line data Period 6

First page of Numb3rs activity

### Notes - Section 3.5 Residuals

Definition of a residual

## Unit 3 (Chapter 4)

### Video - Solving Equations

Absolute Value, Quadratic and Square Root

### Video - Domain and Range

Examples of finding the Domain and Range of a relation

### Video - Function Notations

Examples finding values using function notation

### Notes - Domain, Range and Functions

Power Point Slides defining Domain, Range, Relation and Function. Examples

### Video - Translations

define translation of a function. Examples with function notation, graphs and equations

### Notes - Reflections

Reflections and Examples with square roots

### Video - Transformations of Functions

A summary of all three transformations with a couple of examples

### Video - Absolute Value Family

Characteristics of the Absolute Value Family and examples of dilations with this family

### Video - Square Root Family

Characteristics of the Square Root Family and examples of reflections with this family

Section 4.8

## Unit 4 - Linear Systems

### Assignment Sheet Unit 4

Chapters 3 and 6 Linear Systems

### Video - the substitution method

Examples of solving systems of linear equations using the substitution method.

### Video - the elimination method

examples of solving systems of linear equations using the elimination system

### Notes - Introduction to Inequalities

Solving Inequalities in one variable. Graphing Inequalities on a number line and the co-ordinate Plane

### notes - graphing a system of inequalities

example from class

## Unit 5 - Exponential Functions

### Assignment Sheet Chapter 5

Assignments for units 5 and 6

Includes units 5 and 6

### Video - Exponential Functions

Explicit form of a Geometric sequence and Point-Ration Form

### Video - Properties of Exponents 1

Examples of simplifying expressions using the properties of exponents

### Video - Properties of Exponents 2

Solving Equations using the properties of exponents

### Notes - Properties of Exponents 2

More examples and power functions. (12/6)

### Notes - nth roots

define nth roots. Writing an exponential equaiton

### Video - Working with nth roots part 2

Solving equations

### Applications of exponential functions

Story problems involving exponential functions.

## Unit 6 Logarithmic Functions

### Video - Inverse functions

Definition and Examples

### Video - Inverse Functions 2

How to prove two functions are inverses

### Video -Examples of Logarithm problems

Finding an inverse and solving exponential equations

### Notes - Section 7.1

Polynomial vocabulary and Method of Finite Differences

### Video - Finite Differences

Using finite differences to find the degree of a polynomial and using the TI84 to find the equation.

### Video - Writing Quadratic Equation

Using Vertex and Factored form

### Video = Complete the square

Changing form General to Vertex form

### Video - Graphs of Polynomials

finding the degree and equation of a polynomial by looking at the graph