Algebra 1 - Semester 2

Algebra 1 - Semester 2 is a single-semester course designed to build, develop, and periodically assess your subject-matter knowledge while strengthening your mathematical skills. The major topics of this semester are quadratic and exponential

relationships. You’ll learn to perform operations on polynomials and factor them. You will examine quadratic relationships in detail by writing and graphing quadratic equations. You’ll also model real-world situations with quadratic functions and solve

quadratic equations using a variety of methods. You will investigate exponential relationships and use exponential models to describe and make predictions about realworld situations. You’ll solve linear-quadratic and linear-exponential functions. At the end of the semester, you’ll compare different function types graphically and algebraically.

Course Goals

By the end of this course, you will be able to do the following:

  • Determine the sums, differences, and products of polynomials.

  • Use factoring techniques and distribution to rewrite quadratic expressions.

  • Graph and transform quadratic functions on the coordinate plane.

  • Identify and use a quadratic data model to make predictions and solve problems.

  • Solve quadratic equations in one variable by inspection, taking square roots, factoring, completing the square, and using the quadratic formula.

  • Graph exponential functions, and identify their key features.

  • Write and use exponential functions to model situations in the real world.

  • Identify and analyze key features of piecewise and absolute value functions.

  • Solve systems of linear and quadratic equations graphically and algebraically.

  • Solve systems of linear and exponential equations graphically, tabularly, and by using successive approximation.

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