Standards
M2.1.A: Select and justify functions and equations to model and solve problems.
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Equations on the Number Line
M2.1.B: Solve problems that can be represented by systems of equations and inequalities.
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)
M2.1.D: Solve problems that can be represented by exponential functions and equations.
Compound Interest
Exponential Functions
Introduction to Exponential Functions
M2.1.E: Solve problems involving combinations and permutations.
M2.2.B: Sketch the graph of a quadratic function, describe the effects that changes in the parameters have on the graph, and interpret the x-intercepts as solutions to a quadratic equation.
Addition and Subtraction of Functions
Exponential Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
Translating and Scaling Functions
Zap It! Game
M2.2.D: Solve quadratic equations that can be factored as (ax + b)(cx + d) where a, b, c, and d are integers.
Modeling the Factorization of x2+bx+c
M2.2.E: Determine the number and nature of the roots of a quadratic function.
M2.2.F: Solve quadratic equations that have real roots by completing the square and by using the quadratic formula.
Quadratics in Factored Form
Roots of a Quadratic
M2.2.G: Solve quadratic equations and inequalities, including equations with complex roots.
Quadratic Inequalities
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
M2.3.C: Write the converse, inverse, and contrapositive of a valid proposition and determine their validity.
Biconditional Statements
Conditional Statements
M2.3.D: Distinguish between definitions and undefined geometric terms and explain the role of definitions, undefined terms, postulates (axioms), and theorems.
Biconditional Statements
Investigating Angle Theorems
Isosceles and Equilateral Triangles
M2.3.E: Know, explain, and apply basic postulates and theorems about triangles and the special lines, line segments, and rays associated with a triangle.
Isosceles and Equilateral Triangles
Triangle Inequalities
M2.3.F: Determine and prove triangle congruence and other properties of triangles.
Congruence in Right Triangles
Proving Triangles Congruent
Triangle Angle Sum
Triangle Inequalities
M2.3.G: Know, prove, and apply the Pythagorean Theorem and its converse.
Circles
Cosine Function
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Surface and Lateral Areas of Pyramids and Cones
Tangent Function
M2.3.H: Solve problems involving the basic trigonometric ratios of sine, cosine, and tangent.
Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
M2.3.I: Use the properties of special right triangles (30°-60°-90° and 45°- 45°-90°) to solve problems.
Cosine Function
Sine Function
Tangent Function
M2.3.J: Know, prove, and apply basic theorems about parallelograms.
Parallelogram Conditions
Special Parallelograms
M2.3.K: Know, prove, and apply theorems about properties of quadrilaterals and other polygons.
Parallelogram Conditions
Special Parallelograms
M2.4.B: Given a finite sample space consisting of equally likely outcomes and containing events A and B, determine whether A and B are independent or dependent, and find the conditional probability of A given B.
Theoretical and Experimental Probability
M2.4.C: Compute permutations and combinations, and use the results to calculate probabilities.
Binomial Probabilities
Permutations and Combinations
Correlation last revised: 1/20/2017