This course will develop students’ computational skills so they feel confident in problem solving. Special emphasis will be placed on reading, understanding, and translating word problems into numerical expressions that can then be solved. Logical and creative reasoning will be celebrated!
Algebra will emphasize logical, step-by-step reasoning to find an unknown value. Students will learn to apply reasoning skills to real-life situations, search for patterns in information, and learn to predict values when given a pattern. Students will learn to identify linear patterns, quadratic patterns, and exponential patterns that appear in every day life, and learn how to represent real-world situations using linear/quadratic/exponential models.
- Review of solving one and two-step equations.
- Review of adding, subtracting, and multiplying monomials and polynomials.
- Understand how to find the slope and equation of a line given two points. Connect the idea of slope to the concept of rates/ratios. Understand how to apply linear models to real world situations.
- Understand how to solve a system of linear equations. Know that the system can be solved algebraically (using substitution or elimination) or graphically (by finding the intersection of the two lines).
- Understand how to find the equation/graph of a parallel or perpendicular line.
- Compare the Pythagorean theorem and the distance formula. Find distance of two points in a coordinate system.
- Understand how to find the GCF of two monomials that contain both numbers and variables.
- Understand how to factor polynomials using the GCF of each individual term.
- Review of working with irrational expressions and monomials with exponents (add, subtract, multiply and divide). Understand how to simplify radicals.
- Learn how to factor trinomials, and understand how to solve a quadratic function once it is in its fully factored form. Investigate how to complete the square to factor trinomials.
- Understand the connection between the solutions of a quadratic function and the zeros of its graph.
- Understand how to find the zeros of unfactorable quadratic equations (using the quadratic equation), and how to find the vertex of a quadratic function.
- Understand that polynomial functions will have multiple solutions, and understand how to determine which solutions are extraneous.
- Learn to distinguish between exponential growth and decay models by analyzing a graph, table, or equation. Understand that exponential models 'grow' much faster than linear or quadratic models.
- Understand how to build linear, quadratic, and exponential functions from a word problems and utilize the function (algebraically or graphically) to solve the problem.