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Required Materials: Notebook, Pencil, Pen.
Grading: Tests 55% Quizzes 40% Homework 5%
Algebra Grade 7 or Grade 8
Algebra includes units on linear equations and inequalities, systems of linear equations, polynomials and nonlinear functions, radical and rational expressions, and statistics.
Students will learn to use symbols to express relationships and linear functions and inequalities to represent, model and solve real world problems. Connections between the verbal, tabular, graphical and algebraic models will be explored. Statistical data will often form the foundation for these explorations. Students will model stairs, ramps, ski slopes, etc. with linear functions with a particular emphasis on slope. They will learn various graphical and analytical strategies for solving systems of equations and inequalities. As students build to solve nonlinear equations, factoring of polynomials and the quadratic formula will be added to their list of problem solving strategies. Applications motivate lessons on exponential growth and square roots.
Pre- Algebra/Algebra A Grade 8
Pre-Algebra focuses on those skills needed to help students gain experience in reading, writing and understanding the unique language of mathematics. Students continue to translate among verbal, tabular, graphical and algebraic representation of functions. Students study integers with a focus on their real world applications. They learn multiple strategies for solving equations of one variable. The number system is expanded to include rational numbers. Ratios and proportions and their application to similar figures are explored as students study the geometry of two and three dimensional figures. In the second half of the year, students will begin the study of Algebra which they will complete in Grade 9 at the High School.
Advanced Algebra Grade 8
Advanced Algebra offers students a chance to enhance their algebra skills as they add depth to their understanding of linear, quadratic, polynomial, radical, and exponential functions by modeling real world situations. Matrices are added as possible strategies for problem solving of systems of equations. The Geometry unit explores the properties of parallel lines; the angle and side relationships, areas, and perimeters of polygons; and surface area and volume of three dimensional solids.
A unit on linear programming provides students the opportunity to connect the many units of study to solve a real world problem: How many of each of several items should be produced (given the production restraints of time, man hours, and space), to be sold at varying costs for the highest profit margin.