#### M2.1: Modeling situations and solving problems

M2.1.A: Select and justify functions and equations to model and solve problems.

M2.1.B: Solve problems that can be represented by systems of equations and inequalities.

M2.1.D: Solve problems that can be represented by exponential functions and equations.

M2.1.E: Solve problems involving combinations and permutations.

#### M2.2: Quadratic functions, equations, and relationships

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.

M2.2.D: Solve quadratic equations that can be factored as (ax + b)(cx + d) where a, b, c, and d are integers.

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.

M2.2.G: Solve quadratic equations and inequalities, including equations with complex roots.

#### M2.3: Conjectures and proofs

M2.3.C: Write the converse, inverse, and contrapositive of a valid proposition and determine their validity.

M2.3.D: Distinguish between definitions and undefined geometric terms and explain the role of definitions, undefined terms, postulates (axioms), and theorems.

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.

M2.3.F: Determine and prove triangle congruence and other properties of triangles.

M2.3.G: Know, prove, and apply the Pythagorean Theorem and its converse.

M2.3.H: Solve problems involving the basic trigonometric ratios of sine, cosine, and tangent.

M2.3.I: Use the properties of special right triangles (30°-60°-90° and 45°- 45°-90°) to solve problems.

M2.3.J: Know, prove, and apply basic theorems about parallelograms.

M2.3.K: Know, prove, and apply theorems about properties of quadrilaterals and other polygons.

#### M2.4: Probability

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.

M2.4.C: Compute permutations and combinations, and use the results to calculate probabilities.

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.