Course Map for

Intermediate Algebra

Sections listed are for Algebra 2, by Larson, pub. McDougal Littell, 2004

USOE Core Standard

Content

Skills

Assessment

Std. 1, Obj. 1

Chapter 1

Sections 1.3, 1.4, 1.6, 1.7

Solving linear equations

Problem solving strategies

Rewriting Equations and Formulas

Linear Inequalities

Absolute value Equations and Inequalities

Use order of operations in proper order.

Solve equations of a single variable.

Solve literal equations

Solve absolute values and inequalities in a single variable.

Solve compound inequalities

Tests

Quizzes (announced and unannounced)

Classroom discussions

Class quizzes

Homework

Std. 2, Obj. 1

Std. 3, Obj. 3

Chapter 2

Sections 2.1-2.4, 2.8

Functions and Their Graphs

Slope and rate of change

Graphing linear equations

Applications of linear functions

Linear Inequalities in Two Variables

Absolute Value Functions

Using function notation

Identifying Domain and Range of a function

Be able to graph a line using 2 points, or point slope form.

Calculate slope from 2 points.

Write equation of a line using 2 points or a point and a slope.

Graphing linear inequalities

Graphing absolute value functions

Tests

Quizzes (announced and unannounced)

Classroom discussions

Class quizzes

Homework

Std. 1, Obj. 2

Chapter 3 and Chapter 10

Sections 3.1-3.3, 10.7

Solving Systems of Linear Equations by Graphing

Solving Systems of Linear Equations Algebraically

Graphing and Solving Systems of Linear Inequalities

Solving Non-linear Systems of Equations



Graphing lines

Solving linear equations

Finding intersections of graphs

Classifying systems

Graphing linear inequalities

Finding intersection of regions of inequalities

Solving non-linear systems, finding intersections points

Tests

Quizzes (announced and unannounced)

Classroom discussions

Class quizzes

Homework

Std. 1, Obj. 2

Std. 1, Obj. 3

Std. 1, Obj. 4

Std. 3, Obj. 1

Chapter 5

Sections 5.1-5.7, supplement writing quad. with given zeros

Graphing quadratic functions

Solving Quadratic equations

Factoring

Completing the Square

Quadratic Formula

Complex Numbers

Quadratic Inequalities

Define, add and multiply complex numbers

Factoring quadratic functions of various forms

Solve any quadratic equation using quadratic formula, factoring, and completing the square.

Graphing and solving quadratic inequalities

Writing quadratic equations given zeros

Tests

Quizzes (announced and unannounced)

Classroom discussions

Class quizzes

Homework


Std. 1, Obj. 1

Chapter 6

Sections 6.1, 6.3, 6.4

Properties of Exponents

Add, Subtract, and Multiply Polynomials

Factoring and Solving Polynomial Equations



Apply properties of exponents.

Perform operations with polynomial functions

Factoring expressions of various forms

Tests

Quizzes (announced and unannounced)

Classroom discussions

Class quizzes

Homework

Std. 1, Obj. 1

Std. 1, Obj. 3

Std. 2, Obj. 2

Std. 3, Obj. 1

Chapter 7

Sections 7.1-7.7

Rational Exponents and Their Properties

Power Functions and Function Operations

Inverse Functions

Graphing Radical Functions

Solving Radical Equations

Statistics and Statistical Graphs

Apply properties of roots,  real numbers, and rational exponents

Perform operations with functions: add, subtract, mult., div., and compose

Finding domain of functions after performing operations

Finding and graphing and inverse function

Graphing radical functions using transformations

Solving radical equations and identifying extraneous roots

Finding measures of central tendency and dispersion.

Tests

Quizzes (announced and unannounced)

Classroom discussions

Class quizzes

Homework

Std. 2, Obj.3

Std. 2, Obj. 4

Chapter 8

Sections 8.1-8.6

Exponential Growth and Decay

The number e

Logarithmic Functions

Properties of Logs

Solving Exponential and Logarithmic Equations

Identify the number e

Solve equations involving logarithms and exponentials

Graphing logarithmic and exponential functions.

Solving application of exponential growth and decay

Use properties of logarithms

Tests

Quizzes (announced and unannounced)

Classroom discussions

Class quizzes

Homework

Std. 1, Obj. 1

Chapter 9

Sections 9.4-9.6

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Complex Fractions

Solving Rational Equations

Multiply and divide rational expressions and simplify.

Solve rational expressions.

Add and subtract complex expressions.

Tests

Quizzes (announced and unannounced)

Classroom discussions

Class quizzes

Homework

Std. 4, Obj. 1

Std. 4, Obj. 2

Chapter 12

Sections 12.1-12.5, 12.7

Permutations

Combinations

Probability

Independent, Dependent, and Compound Events

Normal Distributions

Using counting techniques

Calculating permutations and combinations

Define simple discrete random variables

Compute conditional and unconditional probabilities

Finding probabilities of independent and dependent events

Using normal distributions and calculating standard deviations

Using probability and statistics to solve real-life problems

Tests

Quizzes (announced and unannounced)

Classroom discussions

Class quizzes

Homework

Std. 3, Obj. 1

Std. 3, Obj. 2

Std. 3, Obj. 3

Chapter 13 and Chapter 14

Sections 13.1-13.4, 14.1

Right Triangle Trigonometry

General Angles

Degree and Radian Measure

Trig Functions of Any Angle

Inverse Trig Functions

Graphing Sine and Cosine Functions

Convert angle measurements between radians and degrees

Find angle measures in degrees and radians using inverse trig functions

Find exact values for special triangles

Define sine, cosine, and tangent functions

Using reference angles

Find arc length and area of a sector

Graphing sine and cosine functions

Tests

Quizzes (announced and unannounced)

Classroom discussions

Class quizzes

Homework