Abbreviated Multiplication Formulas Formulas for Cubic Expressions Multiplication of the sum of two elements by the difference between them The formula for the sum of squares The formula for the difference of squares

Factorization Factorization: Common factor extraction Uses of Factorization Factoring using contracted multiplication Extracting the common factor in parentheses Factoring Trinomials Solving Equations by Factoring

Algebraic Fractions Multiplication and Division of Algebraic Fractions Addition and Subtraction of Algebraic Fractions Factoring Algebraic Fractions Simplifying Algebraic Fractions

Solving Equations by Factoring Factoring using contracted multiplication Extracting the common factor in parentheses Factoring Trinomials

Rectangle Congruent Rectangles The perimeter of the rectangle Calculating the Area of a Rectangle From a Parallelogram to a Rectangle From a Quadrilateral to a Rectangle

Exponents and Exponent rules The exponent of a power Basis of a power Exponents of Negative Numbers Zero Exponent Rule Negative Exponents Exponents - Special Cases Prime Factorization with Exponents

Rules of Exponentiation Properties of Exponents Power of a Power Division of Exponents with the Same Base Multiplying Exponents with the Same Base Exponent of a Multiplication Power of a Quotient Combining Powers and Roots

Rhombus, kite, or diamond? The Area of a Rhombus From Parallelogram to Rhombus Lines of Symmetry in a Rhombus Diagonals of a Rhombus

Square Root Rules Simplifying Square Roots with Variables Square root of a quotient Square Roots Square root of a product

Parallelogram From the Quadrilateral to the Parallelogram Rotational Symmetry in Parallelograms Identifying a Parallelogram Perimeter of a Parallelogram The area of a parallelogram: what is it and how is it calculated?

Trapezoids Isosceles Trapezoid Types of Trapezoids Perimeter of a trapezoid Area of a trapezoid Diagonals of an isosceles trapezoid Symmetry in Trapezoids

The quadratic function The quadratic equation Squared Trinomial Completing the square in a quadratic equation Methods for Solving a Quadratic Function Vertex of a parabola Positive and Negative intervals of a Quadratic Function Increasing and Decreasing Intervals of a Parabola Finding the Zeros of a Parabola Plotting the Quadratic Function Using Parameters a, b and c Symmetry in a parabola Parabola Quadratic Inequality

Parabola Vertex of a parabola Positive and Negative intervals of a Quadratic Function Increasing and Decreasing Intervals of a Parabola Finding the Zeros of a Parabola Plotting the Quadratic Function Using Parameters a, b and c Symmetry in a parabola

Function The quadratic equation Squared Trinomial Completing the square in a quadratic equation Methods for Solving a Quadratic Function Vertex of a parabola Positive and Negative intervals of a Quadratic Function Increasing and Decreasing Intervals of a Parabola Finding the Zeros of a Parabola Plotting the Quadratic Function Using Parameters a, b and c Symmetry in a parabola Parabola Quadratic Inequality The quadratic function Representation of Phenomena Using Linear Functions Positive and Negativity of a Linear Function Finding a Linear Equation The Linear Function y=mx+b Slope in the Function y=mx Graphs of Direct Proportionality Functions Linear Function

Methods for Solving a Quadratic Function The quadratic equation Squared Trinomial Completing the square in a quadratic equation

Triangles - Completions Exterior angles of a triangle Relations Between The Sides of a Triangle Relationships Between Angles and Sides of the Triangle

Congruent Triangles Congruence of Right Triangles (using the Pythagorean Theorem) Side, Side, Angle Congruence Criterion: Side, Side, Side Congruence Criterion: Angle, Side, Angle Congruence Criterion: Side, Angle, Side

Families of Parabolas Family of Parabolas y=(x-p)²+k (combination of horizontal and vertical shifts) Family of Parabolas y=(x-p)² Family of Parabolas y=x²+c: Vertical Shift The functions y=x²

Ways to represent a quadratic function Factored form of the quadratic function Vertex form of the quadratic equation Standard Form of the Quadratic Function Various Forms of the Quadratic Function

Elements of the circumference How is the radius calculated using its circumference? Radius The Center of a Circle The Circumference of a Circle Tangent to a circle Inscribed angle in a circle Perpendicular to a chord from the center of a circle Arcs in a Circle Central Angle in a Circle Chords of a Circle Distance from a chord to the center of a circle Area of a circle Pi Diameter Circle

Circle How is the radius calculated using its circumference? Radius The Center of a Circle The Circumference of a Circle Tangent to a circle Inscribed angle in a circle Perpendicular to a chord from the center of a circle Arcs in a Circle Central Angle in a Circle Chords of a Circle Distance from a chord to the center of a circle Area of a circle Pi Diameter

Probability for 9th Graders Conditional Probability Dependent Random Events Probability of Independent Random Events

Angles and Polygons - Advanced Sum of the Interior Angles of a Polygon Sum of the Exterior Angles of a Polygon Sum of Angles in a Polygon Measurement of an angle of a regular polygon Angles in Regular Hexagons and Octagons

Quadratice Equations and Systems of Quadraric Equations Word Problems Intersection between two parabolas Solution of a system of equations - one of them is linear and the other quadratic Quadratic Equations System - Algebraic and Graphical Solution