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.
- Relationships between Quantities: Student will use the rule of exponents to simplify products, write equations of direct variation, find the distance between two points, and factor polynomials in various ways.
- Reasoning with Equations and Inequalities: Student will solve equations containing rational expressions and proportions, calculate slopes of lines in various manors, and write equations of a line given different pieces of information.
- Linear and Exponential Functions: Student will identify sets of data as functions or inverse functions, and graph them, evaluate perimeters, areas, volumes, and linear expressions, as well as identify an arithmetic or geometric sequence, find the common difference or ratio, and extend it to the nth term.
- Describing Data: Student will find the central tendencies of data, construct and interpret different plots of data, and calculate numbers of permutations or combinations of sets of data.
- Transformations in the Coordinate Plane: Student will identify different types of angles, analyze relationships between parallel lines and a transversal, and what happens to images after a translation, rotation, or reflection.
- Connecting Algebra and Geometry through Coordinates: Student will solve for the slope of the sides and diagonals of geometric figures, classify quadrilaterals using various manors, and find the areas of geometric figures.