Mathematics 2200

Unit 1: Radicals and Absolute Value

Working with radicals and absolute value of real numbers, and solving radical equations.

• Absolute value and distance
• Square roots and absolute value

• Mixed and entire radicals
• Simplifying radical expressions
• Rationalizing denominators
• Where a radical is defined

• Solving radical equations

Unit 2: Rational Expressions and Factoring

Factoring polynomials and simplifying, operating on, and solving rational expressions and equations.

• Factoring polynomial expressions
• Factoring quadratic-pattern expressions

• Non-permissible values and equivalents
• Simplifying rational expressions
• Operations on rational expressions
• Multi-step rational expression work
• Solving rational equations

Unit 3: Relations and Functions

Absolute-value, quadratic, and reciprocal functions; quadratic equations, inequalities, systems, and sequences and series.

• Graphing absolute value functions
• Solving absolute value equations
• Absolute value function problems

• Roots, zeros, and x-intercepts
• Solving quadratic equations
• The quadratic formula and discriminant
• Quadratic equation problems

• Linear inequalities in two variables
• Quadratic inequalities in two variables
• Quadratic inequalities in one variable
• Quadratic inequality problems

• Transformations of quadratic functions
• Vertex form and the vertex
• Completing the square
• Modelling with quadratic functions

• Graphing reciprocal functions

• Solving non-linear systems
• Modelling with systems

• Arithmetic sequences
• Arithmetic series

• Geometric sequences
• Geometric series

Unit 4: Trigonometry

The sine and cosine laws and trigonometry of angles in standard position.

• Solving oblique triangles
• Applying the sine and cosine laws

• Sketching angles in standard position
• Standard position and reference angles
• Trig ratios from a point
• Exact values and special angles
• Solving trigonometric equations