Coordinate Algebra is a full‐year mathematics course intended for high school students who have successfully completed general mathematics for grade 8 or pre‐algebra. This course focuses on complex operations of integers and variables while incorporating algebraic techniques and methods in order to develop student understanding of mathematical expressions, and concepts involving linear, quadratic, exponential and polynomial functions. Coordinate Algebra also integrates statistical theory with computational practices as well as to include coordinate geometry and geometric concepts, theorems and skills. Students are exposed to several branches of mathematics and will explore ways in which each one can be used as a mathematical model in understanding the world.
By the end of the course, students will be expected to do the following:
The course seeks to help students expand their knowledge and skills so that they may achieve the following goals:
- Simplify and evaluate algebraic expressions involving integers, exponents, and variables.
- Understand linear inequalities and their applications.
- Know how to use function notation and operations on linear, quadratic and polynomial functions.
- Create arithmetic and geometric sequences as well as to be able to predict the nth term.
- Perform operations on polynomials, including factoring and operations of rational expressions.
- Solve algebraic word problems involving mixtures, money, integers, and work.
- Solve systems of equations with graphing and substitution.
- Evaluate, graph and solve exponential equations.
- Calculate data analysis including mean, standard deviation, permutations and combinations.
- Define and apply geometric concepts such as line, point and plane.
- Combine prior linear concepts with geometric properties in order to evaluate and predict transformations of 2D geometric shapes in a coordinate system.
- Define a quadrilateral, parallelogram, or polynomial and apply their similarities and differences in real‐world scenarios.
- Find the area of a circle, quadrilateral or triangle.
- Gain an increased awareness of math as a life skill.
- Understand how math is like a language, with a set of conventions.
- Realize that while mathematical models are useful in studying the world, they have limits.
In attaining these goals, students will begin to see the "big picture" of mathematics and understand how numeric, algebraic, and geometric concepts are woven together to build a foundation for higher mathematical thinking.