Department/Grade:  Math/Grades 7-12       Course:  Algebra I                  Revision Date:  January, 2008

                                               

Required/Elective:  Required                      Course Length:  1 year        Prerequisite:  Pre-Algebra or satisfactory score on arithmetic competency exam

 

Course Description:  This course is designed to generalize the fundamental concepts of arithmetic.  Students will work extensively with linear functions while developing their power to think and work systematically.

 

COURSE OBJECTIVES

CONTENT OUTLINE

Use expressions, solve equations, represent functions, and understand the properties of real numbers

·          Evaluate algebraic expressions and use exponents         

·          Use the order of operations to evaluate expressions

·          Represent functions as rules and as tables

·          Represent functions as graphs

·          Determine whether a relation is a function when the relation is represented by a table or a graph

·          Graph and compare positive and negative numbers

·          Find square roots and compare real numbers

Solve linear equations

·          Solve one-step equations using algebra

·          Solve two-step equations

·          Solve multi-step equations

·          Solve equations with variables on both sides

·          Find ratios and write and solve proportions

·          Solve proportions using cross products

·          Use similar figures to solve problems

Write, graph, and use linear functions

·          Graph linear equations in a coordinate plane

·          Graph a linear equation using intercepts

·          Find the slope of a line and interpret slope as a rate of change

·          Graph linear equations using slope-intercept form

·          Use graphs to solve linear equations

·          Graph linear equations using slope-intercept form

·          Write and graph direct variation equations

·          Use function notation

·          Write equations of lines

·          Write an equation of a line using points on the line

·          Write linear equations in point-slope form

·          Write equations in standard form

·          Write equations of parallel and perpendicular lines

·          Make scatter plots and write equations to model data

·          Make predictions using best-fitting lines

Solve and graph linear inequalities

·          Solve inequalities using addition and subtraction

·          Solve inequalities using multiplication and division

·          Solve multi-step inequalities

·          Use graphs to solve linear equations

·          Solve compound inequalities

·          Solve absolute value inequalities

·          Graph linear inequalities in two variables

Use exponents

·          Use properties of exponents involving products

·          Use properties of exponents involving quotient

·          Use zero and negative exponents

·          Use fractional exponents

·          Read and write numbers in scientific notation

Perform basic operations with polynomials

·          Add and subtract polynomials

·          Multiply polynomials

·          Use special product patterns to multiply polynomials

Explore nonlinear functions

·          Write and graph exponential growth models

·          Write and graph exponential decay models

·          Graph simple quadratic functions

·          Graph general quadratic functions

·          Graph quadratic functions in intercept form

·          Graph quadratic functions in vertex form

·          Compare linear, exponential, and quadratic models

·          Write and graph inverse variation equations

Use radicals

·          Simplify radical expressions

·          Use the Pythagorean theorem and its converse

·          Use the distance and midpoint formulas

Analyze data

·          Find sample spaces and probabilities

·          Use the formula for the number of permutations

·          Use combinations to count possibilities

·          Find the probability of a compound event

·          Compare measures of central tendency and dispersion

·          Make stem-and-leaf plots and histograms

·          Make and interpret box-and-whisker plots

RESOURCE MATERIALS

ASSESSMENT OPTIONS

·          Major Text – Algebra I (McDougall Littell)

·          Chapter Resource Books

·          Chapter Transparency Books

·          Notetaking Guide

·          Power Presentations:  The Electronic Classroom CD-ROM

·          Activity Generator CD-ROM

·          Easy Planner  CD-ROM

·          www.classzone.com

·          Animated Algebra CD-ROM

·          @HomeTutor CD-ROM

·          Test Generator CD-ROM

·          www.studyisland.com

·          Unit Tests

·          Cumulative Tests

·          Midterm Exam

·          Final Exam

·          Standardized Tests

·          Open-Ended Assessments

·          Quizzes

·          Projects

·          Math Journal

·          Oral Presentations

·          Observation

·          Evaluate written work

·          Performance assessments

·          Tests, quizzes

·          Problem solving journal/activity

·          Evaluate oral response

·          Anecdotal records

·          Performance tasks