ALGEBRA 1
COURSE OVERVIEW
COURSE GOAL:
To understand and apply the concepts and procedures from algebraic sense.
COURSE OBJECTIVES:
(Math Essential Academic Learning Requirements are in parentheses following each
objective.) During this course, the student will:
Analyze given data for problem solving. (3.1) Recognize
and use algebraic functions. (3.1) Use algebraic functions to predict
results. (3.2) Determine if a solution is reasonable. (3.3) Solve problems involving perimeter, area, volume, uniform
motion, and profit/loss. (1.2, 1.3, 2.1, 2.3, 3.1, 3.3, 4.2, 4.3, 5.3)
MATERIALS: Teacher prepared textbooks and handouts: adapted equipment for use
with visually impaired students. GRADING: Attendance and daily assignments: 50%
Class participation: 20% Tests: 30%
TIME LINE: The text is divided into ten chapters. Each chapter will require
3-4 weeks to complete. Chapter 1 (3-4 weeks): Introduction to; functions, order
of operations, properties of arithmetic and algebra, variables, terms, like
terms, combining like terms, exponents and coefficients, equations and
inequalities. Review of operations and problem solving with fractions, decimals
and percents. Chapter 2 (3-4 weeks): Using inverse operations and properties to
solve equations and inequalities in one variable. Writing equations and solving
from word problems and checking answers. Review of concepts
and procedures from chapter one. Review of operations and problem
solving with fractions, decimals, and percents. Chapter 3 (3-4 weeks):
Understanding and working with integers, using integral coefficients in
expressions and equations, solving word problems using equations, working with
absolute value. Review of concepts and procedures from
chapters 1, 2 and general mathematics.
Chapter 4 (3-4 weeks): Derive and use the formulas for perimeter, area, and
volume to solve problems. Write algebraic expressions from words. Solve
problems involving uniform motion and profit/loss. Review of concepts and
procedures from chapters 1-3 and fractions, decimals and percents.
Chapter 5 (3-4 weeks): Working with polynomial expressions, including
addition, subtraction, multiplication (both distributing and FOILing) and factoring. Continued
practice of concepts and procedures from chapters 1-4.
Chapter 6 (3-4 weeks): Factorization and prime factorization of numbers. Finding the Greatest Common Factor (GCF) of groups of numbers.
Factoring polynomials with increasing levels of difficulty.
Continued practice of concepts and procedures from chapters
1-5.
Chapter 7 (3-4 weeks): Plotting points on the coordinate plane, graphing
linear equations by finding ordered pairs, finding the slope of linear
equations, graphing linear equations from the slope-intercept form of an
equation, problem solving and predicting using functions. Continued
practice of skills and concepts from chapters 1-6.
Chapter 8 (3-4 weeks): Solving systems of two linear equations in two
variables by the graphing method, the substitution method, and by linear
combination. Using systems of equations to solve problems.
Continued practice of skills and concepts learned in chapters 1-7.
Chapter 9 (3-4 weeks): Simplifying rational algebraic expressions using
cancellation, factoring, and the negative one factor. Writing ratios in
simplest form, using ratios and proportions to solve problems, using the four
operations on fractional algebraic expressions, solving equations with rational
coefficients, solving work problems by writing and
solving fractional equations. Continued practice of skills and concepts taught
in chapters 1-8.
Chapter 10 (3-4 weeks): Finding squares and square roots of numbers,
simplifying square roots of numerical and algebraic expressions, performing the
four operations on radical expressions, solving equations containing radicals,
and solving problems using radical equations. Continued practice of skills and
concepts taught in chapters 1-9.