Course Description: After a short review of basic middle-grades skills and concepts, algebraic fundamentals will be applied to real world concepts as well as geometric applications. Equations and inequalities involving linear, quadratic and absolute value, as well as related word problems, are thoroughly investigated. These three concepts are elaborated on with their connected functions through the study of a vertex, intercepts, and transformations. Applied linear problems reinforce ?the properties of line equations, inequalities, and systems of equations. Various problems on exponents, radicals, and visual manipulations with algebra blocks slowly blend into factoring, quadratic equations, parabolas, and their real-life applications. Methods of solving second-degree equations (graphing, factoring, quadratic formula, completing the square) as well as vertex, x-intercepts, and axis of symmetry, are used to model and solve real-world problems.
Throughout the year, students are learning how to communicate mathematically with each other. Student presentations of ideas on a regular basis help begin the discourse as students are then encouraged to ask each other questions with the facilitation of the teacher. Technology is used as a problem- solving resource, including the online graphing tool Desmos, which allows students to explore ideas and visualize mathematical modeling. Graphing calculators will be frequently used to collect data, to estimate answers, to explore theorems or to visualize mathematical modeling. Calculator requirement: Graphing calculator (TI-84+) will be used in this course.
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