This math unit begins by introducing students to basic algebraic functions, starting with the multiplication of a single value with bracketed terms and progressing to more complex polynomial expressions. Initially, students practice distributing a single number across terms within parentheses, helping them recognize and simplify equivalent expressions. As the unit advances, the focus shifts to more intricate operations involving the same or different variables within bracketed terms, enhancing their ability to expand and simplify such expressions further. Midway through the unit, the emphasis is placed on removing values from these terms, reinforcing students' understanding and manipulation of algebraic expressions across various contexts. The complexity increases as students learn to factor quadratic equations and recognize equivalent expressions involving operations with variables, addition, subtraction, multiplication, and powers. Towards the end, the unit dives into the relationships between the roots of quadratic equations, exploring how sums and products of integers relate to polynomial coefficients, including exercises with negative numbers. This structured progression sharpens students' problem-solving skills in polynomials and quadratics, preparing them for advanced topics in algebra.Skills you will learn include:
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