Expressions, Equations, and Functions
Properties of Real Numbers
Solving Linear Equations
Graphing Linear Equations and Functions
Writing Linear Equations
Solving and Graphing Linear Inequalities
Systems of Equations and Inequalities
Exponents and Exponential Functions
Polynomials and Factoring
Quadratic Equations and Functions
Radicals and Geometry Connections
Radical Equations and Functions
Probability and Data Analysis
Adding and subtracting negative and positive numbers
Multiplying and dividing negative and positive numbers
Linear functions - graphing and solving
Absolute value - graphing and solving
One Variable Inequalities - graphing and solving
Two Variable Inequalities - graphing and solving
System of Equations - Substitution and Elimination
System of Inequalities
System of Three Equations
Matrices - adding and subtracting, Multiplying, and inverse matrix
The Quadratic Function - Parabolas, factoring, complex equations, completing the square, and the quadratic formula
Polynomial Functions – adding and subtracting, multiplying and dividing, and solving
Rational Expressions - adding and subtracting, multiplying and dividing, and solving
Exponential Functions – properties of exponents, logarithmic functions and there properties, Natural Long and there properties
Graphing – lines, circle, Ellipses, Hyperbolas, Parabolas
Introduction to Trigonometry – angles, unit circle, radiant measures, Sin, Cos, Tan, Inverse trig functions, Right triangle, trig ratios, Law of Sin, and Law of Cos.
Lines, Segments, and Rays.
Parallel and Perpendicular lines
Bisectors, Medians, and Altitudes
Congruent angles and shapes
Triangles- area, angle, Pythagoras theorem, right triangle, equilateral, isosceles,
Circles- area, angle, Arc length, cord, tangents,
Trapezoids- area, angle, diagonal, base and sides
Parallelograms - area, angle, diagonal, sides
Quadrilaterals- area, angle, diagonals, sides
Rectangles - area, angle, diagonal, side,
Squares - area, angle, diagonal, side.
Rhombus - area, angle, diagonal, sides
Kites - area, angle, diagonal, sides
Polygons – area, angle, side,
Introduction to Trigonometry – Sin, Cos, Tan, Csc, Sec, Cot, inverse of Sin, inverse of Cos, Inverse of Tan, Inverse of Csc, Inverse Sec, and Inverse of Cot.
Law of Sin and Law of Cos
Ratios- Trig, geometric mean,
Functions: circles ellipse hyperbolas and parables, Polynomial and Rational Functions, exponential and Logarithmic functions, Trigonometric function, analytic trigonometry, and systems of equations and inequalities.
Unit Circle – radians, converting from degrees to radians, arc length, speed, and angular speed
Intro to Sin ?, Cos ?, Tan ?, Csc ?, Sec ?, Cot ?
Right triangles – trig functions of angles
Graphing - Sin ? and Cos ?, Tan ? and Cot ?, Csc ? and Sec ?, Inverse Sin ? and Cos ?
Introducing Trig Identities
Even and Odd Identity
Solving for - Sin ?, Cos ?, Tan ?, Csc ?, Sec ?, Cot ?
Sum and Difference Formulas
Law of Sines
Law of Cosines
Vectors - Vectors in the Plane, Dot Products, Angles between two Vectors
Finding Zeros of Polynomials
Polar Coordinates- converting from parametric to polar and from polar to parametric
Graphing Polar Equations