#### IM2.1: Algebra and Functions

IM2.1.1: Use and interpret function notation, including evaluation of functions represented by tables, graphs, words, equations or a set of ordered pairs.

IM2.1.2: Recognize and describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph and the factors of a polynomial expression.

#### IM2.2: Geometry and Measurement

IM2.2.1: Construct congruent segments and angles, angle bisectors, perpendicular bisectors, and parallel and perpendicular lines by using appropriate geometric construction tools. Explain and justify the process used.

IM2.2.2: Recognize, use and justify the relationships between special pairs of angles formed by parallel lines and transversals.

IM2.2.3: Identify and apply properties of and theorems about parallel and perpendicular lines, and write equations of parallel and perpendicular lines, and develop simple geometric proofs involving parallel and perpendicular lines.

IM2.2.6: Develop simple geometric proofs involving congruent and similar polygons and provide reasons for each statement.

IM2.2.7: Describe, classify and recognize relationships among the quadrilaterals, such as squares, rectangles, rhombuses, parallelograms, trapezoids and kites.

IM2.2.9: Define, identify, construct and solve problems involving perpendicular bisectors, angle bisectors, medians and altitudes in triangles.

IM2.2.11: Prove and apply the triangle inequality theorem.

IM2.2.12: Prove and apply the isosceles triangle theorem and its converse.

IM2.2.13: Prove the Pythagorean Theorem and its converse and use them to solve problems, including problems involving the length of a segment in the coordinate plane.

IM2.2.16: Define and use the trigonometric functions sine, cosine and tangent in terms of angles of right triangles.

IM2.2.18: Solve problems that can be modeled using right triangles, including problems that can be modeled using trigonometric functions. Interpret the solutions and determine whether the solutions are reasonable. Use technology as appropriate.

IM2.2.20: Define, deduce and use formulas for, and prove theorems for radius, diameter, chord, secant and tangent.

IM2.2.21: Define, deduce and use formulas for, and prove theorems for measures of arcs and related angles (i.e., central, inscribed and intersections of secants and tangents).

#### IM2.3: Data Analysis and Probability

IM2.3.1: For bivariate measurement data, create a scatter plot; describe its shape; and determine regression coefficients, regression equations and correlation coefficients using technological tools.

IM2.3.2: Display and analyze bivariate data where at least one variable is categorical.

IM2.3.3: Recognize how linear transformations of univariate data affect shape, center and spread.

IM2.3.4: Calculate and interpret the correlation coefficient. Use the correlation coefficient and residuals to evaluate a "best-fit" line.

IM2.3.6: Determine the probability of simple events involving independent and dependent events and conditional probability. Analyze probabilities to interpret odds and risks of events.

IM2.3.7: Use permutations, combinations and other counting methods to determine the number of ways that events can occur and to calculate probabilities, including the probability of compound events.

#### IM2.4: Discrete Mathematics

IM2.4.5: Model and solve problems using matrices.

IM2.4.7: Use truth tables to determine the truth values of propositional statements.

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.