Algebra II - Study Guide

Algebra II Honors - Study Guide

Graphing Calculator

 

Calculator Lab

 


LA.910.1.6.1

 

The student will use new vocabulary that is introduced and taught directly.

 

 


LA.910.4.2.1

 

The student will write in a variety of informational/expository forms, including a variety of technical documents (e.g. how-to-manuals, procedures, assembly directions.

 

 


MA.912.A.1.6

 

Identify the real and imaginary parts of complex numbers and perform basic operations.

Multiples/Primes/Rational/Perfect Squares/Fractions Game - click to access site

Imaginary Numbers - self checking puzzle

Answer Key


MA.912.A.2.5

 

Graph absolute value equations and inequalities in two variables.

Dynamic Paper (tool to print graph paper)

 


MA.912.A.2.6

 

Identify and graph common functions (including but not limited to linear, rational, quadratic, cubic, radical, absolute value)

Quadratic Functions: Workshop

Properties of Quadratic Functions

Functions - Matching Equation to Graph

Graph Rational Functions

Exponential Graphs

Polynomial Functions

Applications of Quadratic Functions

Profit Functions

Profit Functions 2


MA.912.A.2.7

 

Perform operations (addition, subtraction, division, and multiplication) of fractions algebraically, numerically, and graphically.

 

 


MA.912.A.2.8

 

Determine the composition of functions.

Functional Notation - self checking puzzle

 


MA.912.A.2.10

 

Describe and graph transformation of functions.

 

 


MA.912.A.2.11

 

Solve problems involving functions and their inverses.

 

 


MA.912.A.2.12

 

Solve problems using direct, inverse, and joint variations.

Be Direct - Oil Spills on Land

Very Varied - Inverse Variation


MA.912.A.3.3

 

Solve literal equations for a specified variable.

Jonny Heeley's Masterclass

 


MA.912.A.3.6

 

Solve and graph the solutions of absolute value equations and inequalities with one variable.

 

 


MA.912.A.3.10

 

Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph.  Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line.

Algebra vs. the Cockroaches - Slope Game

National Debt and Wars

National Debt and Wars Activity Sheet

National Debt and Wars Overhead

Suggested Solutions

Equations of Attack

Equations of Attack - Center Guide

Equations of Attack - Activity Sheet

Equations of Attack - Cards


MA.912.A.3.14

 

Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elmination methods.

Printing Books - Illuminations

Printing Books Activity Sheet

Printing Books Excel Spreadsheet

 


MA.912.A.3.15

 

Solve real-world problems involving systems of linear equations and inequalities in two and three variables.

 

 


MA.912.A.4.3

 

Factor polynomial expressions.

Distributing and Factoring Using Area - Illuminations

Distributing Student Worksheet

Difference of Squares - Illuminations


MA.912.A.4.4

 

Divide polynomials by monomials and polynomials with various techniques, including synthetic division.

 

 


MA.912.A.4.5

 

Graph polynomial functions with and without technology and describe end behavior.

Function Behavior - Group Work

Function Behavior 2 - Group Work

Maximum of a Function - Group Activity

Maximum of a Function 3 - Group Activity

Properties of Graphs - Transformations

Properties of Graphs - Transformations 2


MA.912.A.4.6

 

Use theorems of polynomial behavior (including by not limited to the Funcamental Theorem of Algebra, Remainder Theorem, the Rational Root Theorem, Descartes' Rule of Signs, and the Conjugate Root Theorem) to find the zeros of a polynomial function.

 

 


MA.912.A.4.7

 

Write a polynomial equation for a given set of real and/or complex roots.

 

 


MA.912.A.4.8

 

Describe the realtionships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression with and without technology.

 

 


MA.912.A.4.9

 

Use graphing technology to find approximate solutions for polynomial equations.

 

 


MA.912.A.4.10

 

Use polynomial equations to solve real-world problems.

Applications of Functions

Applications of Functions 2

 


MA.912.A.5.2

 

Add, subtract, multiply, and divide rational expressions.

 

 


MA.912.A.5.3

 

Simplify complex fractions.

 

 


MA.912.A.5.5

 

Solve rational equations.

Polynomial Division

 


MA.912.A.6.2

 

Add, subtract, multiply, and divide radical expressions (square roots and higher).

 Radical Puzzle - self checking

 


MA.912.A.6.3

 

Simplify expressions using properties of rational exponents.

Exponent Matching Puzzle

Exponent Bingo


MA.912.A.6.4

 

Convert between rational exponent and radical forms of expressions.

 

 


MA.912.A.6.5

 

Solve equations that contain radical expressions.

 

 


MA.912.A.7.3

 

Solve quadratic equations over the real numbers by completing the square.

 

 


MA.912.A.7.4

 

Use the discriminant to determine the nature of the roots of a quadratic equation.

 

 


MA.912.A.7.5

 

Solve quadratic equations over the complex number system.

 

 


MA.912.A.7.6

 

Identify the axis of symmetry, vertex, domain, range and intercept(s) for a given parabola.

 

 


MA.912.A.8.1

 

Define exponential and logarithmic functions and determine their relationship.

Trains, Fibonacci, & Recursion - Illuminations

Counting the Trains Activity Sheet

Trains Overhead

TI-83 Instructions

Counting the Trains - Illuminations

Counting the Trains Activity Sheet

Recursive Patterns Overhead

Recursion & Exponential Rules - Illuminations

Recursive Rules Overhead

Recursive & Exponential Rules Overhead

Applications of Exponential & Logarithmic Functions


MA.912.A.8.2

 

Define and use the properties of logarithms to simplify logarithmic expressions and to find their approximate values.

 

 


MA.912.A.8.3

 

Graph exponential and logarithmic functions.

Tool to Explore Exponential Functions

Exponential and Logarithmic - Group Activity

Logarithmic Functions and their Graphs


MA.912.A.8.5

 

Solve logarithmic and exponential equations.

Measurement, Sequences & Curves - Illuminations

Measurement Overhead

To Fret Activity Sheet

Exact Ratios Activity Sheet

 


MA.912.A.8.6

 

Use the change of base formula.

 

 


MA.912.A.8.7

 

Solve applications of exponential growth and decay.

Get A Half Life!

Investments


MA.912.A.10.3

 

Decide whether a given statement is always, sometimes, or never true (statements involving linear or quadratic expressions, equations, or inequalities, rational or radial expressions, or logarithmic or exponential funtions).

 

 


MA.912.D.11.1

 

Define arithmetic and geometric sequences and series.

Geometric & Harmonic Series - Illuminations

 


MA.912.D.11.3

 

Find specified terms of arithmetic and geometric sequences.

 

 


Options for End of Course Practice

 

PowerPoint Practice Problems

PowerPoint Practice Problems

PowerPoint Practice Problems

PowerPoint Practice Problems

PowerPoint Practice Problems


End-of-Course Exam (EOC)

    5/16 - 5/20


 

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