Algebra 2

LINEAR FUNCTIONS

• Identifying Parent Functions - Constant, Linear, Absolute and Quadratic Functions
  
• Transformation of Linear and Absolute Value Functions
  
• Slope of a Linear Function from Graph, Two Points and Tables
  
• Slope-Intercept Form of Linear Functions
  
• Modeling with Linear Functions
  
• Finding Lines of Fit and Lines of Best Fit
  
• Slope and Line equations for a Parallel and Perpendicular Lines
  
• Solving Linear Systems - Two variable and Three Variable systems
  

QUADRATIC FUNCTIONS

• Transformations of Quadratic Functions
  
• Characteristics of Quadratic Functions
  
• Properties of Parabolas
  
• Graphing a Quadratic function in Standard Form
  
• Minimum and Maximum values of a Quadratic Function
  
• Graphing Quadratic Functions in Intercept Form
  
• Finding Focus of a Parabola
  
• Graphing an Equation of a Parabola
  
• Writing Equations of Parabolas
  
• Modeling with Quadratic Functions
  

QUADRATIC EQUATIONS AND COMPLEX NUMBERS

• Solving Quadratic Equations by Graphing, using Square Roots, by Factoring
  
• Solving Quadratic Equations using Quadratic formula and using discriminant
  
• Classifying Complex Numbers
  
• Square roots of Negative Numbers
  
• Operations with Complex Numbers
  
• Quadratic Equations - Complex solutions and Zeros
  
• Quadratic Equations using Completing the Square
  
• Solving Non-linear systems
  
• Quadratic Inequalities
  

POLYNOMIAL FUNCTIONS

• Identifying and Graphing Polynomial Functions
  
• Evaluating Polynomial Functions and Describing End Behaviour
  
• Cubing Binomials
  
• Adding and Subtracting Polynomials
  
• Multiplying Polynomials
  
• Polynomial Identities
  
• Pascal's Triangle
  
• Dividing Polynomials - Long Division of Polynomials
  
• Dividing Polynomials - Synthetic Division
  
• Remainder Theorem
  
• Factoring Polynomials - By finding common Monomials, by Grouping
  
• Factor Theorem
  
• Solving Polynomial Equations - finding solutions and zeroes
  
• Rational Root Theorem
  
• Irrational Conjugates Theorem
  
• Transformation of Polynomial Functions
  
• Analyzing Graphs of Polynomial Functions - Approximating Turning Points, Location Principle, Even and Odd Functions,
  
• Modeling with Polynomial Functions
  
• Fundamental Theorem of Algebra and Binomial Theorems
  

RATIONAL EXPONENTS AND RADICAL FUNCTIONS

• nth Roots and Rational Exponents
  
• Solving equations using nth Roots
  
• Properties of Rational Exponents and Radicals
  
• Simplifying Radical Expressions
  
• Graphing Radical Functions
  
• Transforming Radical Functions
  
• Graphing Parabolas and Circles
  
• Solving Radical equations and Inequalities
  
• Performing Function Operations
  
• Graphing Functions and their Inverses
  
• Inverse of a Linear and Quadratic Functions
  
• Inverse of a Radical and Cubic Functions
  

EXPONENTIAL AND LOGRITHMIC FUNCTIONS

• Exponential Growth and Decay Functions
  
• Graphing and Simplifying Natural Base Functions
  
• Logarithms and Logrithmic Functions
  
• Inverse Functions of Logarithmic Functions
  
• Transformations of Logarithmic and Exponential Functions
  
• Properties of Logarithms
  
• Solving Exponential and Logarithmic Equations
  
• Modeling with Logarithmic and Exponential Functions
  

RATIONAL FUNCTIONS

• Recognizing Direct and Indirect Variation
  
• Writing Inverse Variation Equations
  
• Graphing Rational Functions
  
• Multiplying and Dividing Rational Expressions
  
• Adding and Subtracting Rational Expressions
  
• Solving Rational Equations
  

SEQUENCES AND SERIES

• Defining and using sequences and series
  
• Rules for Series and Writing Series using Summation
  
• Analyzing Arithmetic sequences and series
  
• Arithmetic sequences - Writing a rule, Finding sums of finite Arithmetic series, Sum of Arithmetic Series
  
• Analyzing Geometric Sequences and series
  
• Sum of Finite Geometric Series, nth term
  
• Sums of Infinite Geometric Series
  
• Recursive Rules with Sequences
  
• Convergent and Divergent Geometric series
  
• Partial sums of Arithmetic and Geometric series
  

TRIGONOMETRIC RATIOS AND FUNCTIONS

• Trigonometric Identities
  
• Six Trigonometric Ratios - Finding Angles and Side lengths
  
• Pythagorean theorem and its converse
  
• Angles and Radian Measure - Writing Radian and Degree measures of Angles
  
• Finding Coterminal Angles
  
• Laws of Sines and Cosines
  
• Trigonometric Functions of Any Angle
  
• Unit Circle and Reference Angles
  
• Properties and Equations of Sine Functions
  
• Properties and Equations of Cosine Functions
  
• Modeling with Trigonometric Functions
  
• Sum and Differences Formulas
  
• Complementary Angle Identities, Symmetry and Periodicity of Trigonometric Functions
  

PROBABILITY

• Sample Spaces and Probability
  
• Identifying Independent and Dependent Events
  
• Finding Theoretical and Experimental Probabilities
  
• Probability of Independent Events
  
• Probability of Dependent Events
  
• Comparing Dependent and Independent Events
  
• Finding Conditional Probabilities
  
• Two-way tables and Probability
  
• Finding Probability using Permutations and Combinations
  
• Probability of Disjoint and Overlapping events
  
• Binomial Distributions
  
• Finding Probability using Addition rule and Normal Distribution
  

DATA ANALYSIS AND STATISTICS

• Normal Distributions
  
• Finding Normal Probability
  
• Interpreting Normally Distributed Data
  
• Z-score and Standard normal table
  
• Recognizing Normal Distributions
  
• Populations, Samples and Hypotheses
  
• Collecting Data
  
• Experimental Design
  
• Making Inferences from Sample surveys
  
• Making Inferences from Experiments
  
• Mean, Median, Mode and Range
  
• Quartiles and Mean Absolute Deviation
  
• Variance and Standard Deviation
  

PARABOLAS

• Vertex, Focus, Directrix and Axis of Symmetry of a Parabola
  
• Equations of Parabolas in General and Vertex Forms
  
• Graphing Parabolas and Circles
  

ELLIPSES

• Centre, Vertices, Co-vertices, Foci, Major and Minor Axes of an ellipse
  
• Equations of Ellipses in Standard form and general forms
  

HYPERBOLAS

• Centre, Vertices, Foci, Asymptotes of a Hyperbola
  
• Length of transverse or Conjugate of a Hyperbola
  
• Equations of hyperbolas in General Form and Standard form
  

CIRCLES

• Centre, Radius and Diameter of a Circle
  
• Equations of Circles in Standard form using graphs and tables
  
• Graph circles
  

INTRODUCTION TO LIMITS

• Finding limits using Addition, Subtraction, Multiplication and Division Law
  
• Find limits using power and root laws
  
• Limits of Polynomials and Rational Functions