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Algebra 1 Overview


Welcome to Algebra 1!

Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, students develop an understanding of the symbolic language of mathematics and the sciences.

The transition from arithmetic to algebra is a transition from the concrete to the abstract. An essential element of this transition is the use of variables. Algebra 1 students will begin the year by solving multi-step equations and inequalities, including those with variables on both sides, proportions, and absolute value. In these equations, students will be using operations with integers, fractions, decimals, and exponents, as well as their understanding of the distributive, commutative, associative, and identity properties, all studied in grades 6 and 7.

Students will then move into the study of functions. They will graph linear functions, examining intercepts, slope formulas, and parallel and perpendicular lines. Students will solve systems of linear equations using multiple methods, and systems of linear inequalities by graphing. Applications of systems and algebraic techniques will be used to solve rate problems and percent mixture problems.

Prior studies of exponents will be extended to the operations of polynomials. Multiple factoring methods of polynomials will be applied to second- and third-degree polynomials.

Students will explore the motion of an object under the force of gravity using quadratic functions. They will solve quadratic functions by multiple methods including the Quadratic Formula, learning to choose the most efficient method based on the equation.

Operations with rational expressions and equations will be used to solve work problems.

The California Mathematics Content Standards for Algebra 1 can be found at http://www.cde.ca.gov/ci/ma/cf/documents/math-ch2-8-12.pdf 
Subpages (1): * Algebra HW