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 *x*^{2}+*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

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.