Algebra 2 Part 1
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Prerequisite Skills
LCM GCD
Coordinate Geometry
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Quadrants
Fraction Operations
Functions
Laws and Properties
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Define Relations
Domain and Range
Rates of Change LINEAR QUADRATIC CUBIC FUNCTIONS
Relationship, Function, or 1-1 Function
Linear
Classifications of Lines
Forms of the Line
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Ax+By=C
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standard form of the line
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Writing Standard Form from two points examples 1 and 2
Standard Form Examples
y-y1 = m(x-x1)
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Point Slope Form to Slope Intercept Form
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point slope of line
Point Slope Form to Slope Intercept Form
y=mx+b
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y=mx+b generator
y=mx+b parallel lines
y=mx+b perpendicular lines
y=mx+b at least one integer coordinate
y = mx +b determine x intercept
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y=mx+b finding x intercepts using substitution
y=mx+b finding x intercepts using zero product property
y = mx+b finding x intercepts using technology
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y=mx+b determination of x intercepts using technology two lines method
y=mx+b finding the x intercept using technology and point on feature
y=mx+b finding the x intercept using technology and analyze feature
Vocabulary and Skills to Develop
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Slope of a Line
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Slopes of Horizontal and Vertical Lines
Determine the slope of the line from a graph of a line
Determine the slope of a line in standard form
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3x - 4y = -12
3x + y = 6
3x - 5y = 0
Writing Equations of Lines
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horizontal and vertical lines
Domain and Range
Graphing
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Graphing Linear Inequalities Entry Slip Solutions 9-16-14
Solving Equations
Applications
Quadratic
Forms of Quadratic Functions and Relations
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perfect square trinomials
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PST y = (x-a)^2
PST y = (x+a)^2
PST y = (ax-b)^2
PST y = (ax+b)^2
difference of two squares binomials
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DOTS y = (x-a)(x+a)
DOTS y = (ax-b)(ax+b)
standard form of a quadratic function
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y=ax^2+bx+c
y=ax^2+bx
y=ax^2+c
vertex form of a quadratic function
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y=a(x-h)^2+k
intercept form of a quadratic function
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y=a(x-r1)(x-r2)
Domain and Range
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Domain of Quadratic Functions & Relations
Range of Quadratic Functions & Relations
Graphing parabolas
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finding y intercept of a parabola
finding axis of symmetry of a parabola
finding vertex of a parabola
finding x intercepts of a parabola
finding focus of a parabola
finding directrix line of a parabola
using piecewise functions
using radicals
quadratic inequalities
Solving Equations
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solving quadratic equations using factoring
ax^2+bx+c=0
a(x-h)^2 +k=0
a(x-r1)(x-r2) =0
(dx-e)(x-r1)=0
(dx-e)(fx-g)=0
solving equations using quadratic formula
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quadratic formula d < 0
quadratic formula d = 0
quadratic formula d > 0
quadratic formula d = perfect square
Applications
Conic Sections
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Parabola as a conic section
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Parabola OPENS UP
Parabola OPENS DOWN
Parabola OPENS RIGHT
Parabola OPENS LEFT
Circle
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Parts of a Circle
CIRCLE center (0,0) radius r
CIRCLE center (h,k) radius r
CIRCLE General Conic Equations
Ellipse
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Parts of an Ellipse
Ellipse center (0,0)
Ellipse center (h,k)
ELLIPSE General Conic Equations
Hyperbola
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Parts of an Hyperbola
Systems
SOLUTIONS TO DAILY PRACTICE 9-29-14 DUE 9-30-14
Forms of Systems
Linear Systems
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Solving Linear Systems by Graphing
Types of Systems
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Standard Form Linear Systems
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Example 1
Domain and Range
Graphing
Solving Systems
Applications
Polynomial
Forms of Polynomials
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cubic polynomials
quartic polynomials
quintic polynomials
nth degree polynomials
Laws and Properties
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factorable polynomials
Fundamental Theorem of Algebra
Factor Theorem
Remainder Theorem
Rational Root Theorem
Location Principle
Division of Polynomials
Quick Checks Using Tables and Graphs
Connections to Calculus
Domain and Range
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Domain of Polynomials
Range of Polynomials
Graphing
Solving Equations
Applications
Exponential
Laws and Properties
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Exponent Laws
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power of power
product of powers
power of product
power of a quotient
quotient of powers
negative exponents
zero as an exponent
rational exponents
power of binomials
Pascal's Triangle
Applications of Exponential Functions
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exponential population change models
exponential interest models
exponential position model
Graphing Exponential Functions
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graphing y = b^x
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y = b^x
graphing y = b^x+c
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y = b^x+c
graphing y = ab^x
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y = ab^x+c
graphing y = ab^x+c
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y = ab^x+c
template slideshow
template 4 button and slideshow
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nine button template
template slideshow
template slideshow
template slideshow
template slideshow
Untitled
Operations with polynomials
solutions to final exam study guide
1: What are the basic parent function characteristics?
Objectives Algebra 2 Basic
Assignments Algebra 2 Basic
Solutions Algebra 2 Basic
Additional Materials Algebra 2 Basic
Objectives Algebra 2 Enriched
Assignments Algebra 2 Enriched
Solutions Algebra 2 Enriched
Additional Materials Algebra 2 Enriched
TI Nspire Files