Mathematics

Algebra I includes work with the basic properties of real numbers, equations, and inequalities, solution of problems using equations and inequalities, operations with polynomials, graphs, system of linear equations, solving problems by systems of equations, factoring polynomials, solving quadratic equations, inductive and deductive reasoning, and basic probability and statistics.

The geometry skills and concepts developed in this discipline are useful to all students. In addition to learning these skills and concepts, students will develop their ability to construct formal, logical arguments and proofs in geometric settings and problems.

Students learn to manipulate numbers and equations and understand the general principles at work. They understand and use factoring of numerator and denominators and properties of exponents. They learn the Pythagorean Theorem and solve problems computing the length of an unknown side. Students compute the surface area and volume of basic 3-D objects and understand how they change under a change in scale. Students convert between different units of measurement. They learn to use different representations of fractional numbers (rationals, decimals, and percent. Ratio, proportion and the increase and decrease of simple interest is learned. They graph linear functions and understand the idea of slope and its relation to ratio.

Students in Honors Pre-Algebra 7 cover the curriculum in Pre-Algebra 7 but the course is differentiated by pacing and extending problem-solving applications and projects.

This course is designed to prepare students for a more successful experience in high school Algebra 1. The course is based upon the California Content State Standards. The major objective of the course is to continue students’ conceptual development in the Pre-Algebra content based on the California General Mathematics and Pre-Algebra State Standards.