Algebra I (STAR) Syllabus

Course description

A workshop-oriented, limited-enrollment introduction to algebra that integrates the core components of Algebra I with strategies for succeeding in math throughout the high school curriculum.  Topics covered include: patterns, operations, functions, proportions and mathematical reasoning, exponents, radicals, graphing on the coordinate plane, and probability.

Syllabus

Unit I: Patterns and sequences
Using differences to find patterns
Other methods of finding (and building) sequences
Famous and not-so-famous sequences

Unit project: TBA

        Skill builder: Succeeding in this class and future math courses

        Skill builder: Using the whole textbook

        Skill builder: Building a math vocabulary


Unit II: Working with real numbers
What's a real number?
Prime and other special numbers
The four basic operations
"Invented" operations
Order of operations
Mean, median and mode
Estimation
Making sense out of fractions and decimals
Playing the percentages

Unit project: TBA

        Skill builder: Getting the most out of your calculator

        Skill builder: How to prepare for a math test

Standardized test preparation:  MCAS


Unit III: Solving equations
Simplifying algebraic expressions
Distribution
Solving one-step algebraic equations
Solving multi-step algebraic equations

Unit project: TBA

        Skill builder: Problem-solving strategies, part I

        Skill builder: How to succeed on a multiple choice quiz

Standardized test preparation:  MCAS


Unit IV: Proportions and reasoning
Ratios
Using proportional reasoning
Graphing data
Other data displays
Modeling

Unit project: TBA

        Skill builder: Problem-solving strategies, part II

        Skill builder: Taking the mystery out of text problems

Standardized test preparation:  MCAS


Unit V: Linear functions and the coordinate plane
Graphing points on the coordinate plane
Linear functions and graphs
Defining slope
Slope-intercept form
Parallel and perpendicular lines

Unit project: TBA

        Skill builder:  Using the graphing calculator

        Skill builder:  Using the carpenters' calculator

Standardized test preparation:  MCAS


Unit VI: Exponents and radicals
Multiplying monomials
Powers and products
Dividing monomials
Negative and zero exponents
Scientific notation
Estimating radicals
Simplifying radicals
Solving radical equations

Unit project: TBD

        Skill builder: Using web resources

        Skill builder:  Note-taking in math

Standardized test preparation:  MCAS


Unit VII: Probability
Geometric probability
Independent and dependent events
Combinations and permutations

Unit project: TBA

        Skill builder:  Foundation skills for Geometry

Standardized test preparation:  MCAS

Copyright 2005-9 Kris Wm. Chvatal.  May not be reproduced without consent.