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.

Cosine Function
Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Linear Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Rational Functions
Sine Function
Tangent Function
Using Algebraic Equations
Using Algebraic Expressions
Using Tables, Rules and Graphs

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.

Factoring Special Products
Modeling the Factorization of x²+bx+c
Polynomials and Linear Factors
Using Tables, Rules and Graphs

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.

Concurrent Lines, Medians, and Altitudes
Construct Parallel and Perpendicular Lines
Constructing Congruent Segments and Angles

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

Investigating Angle Theorems - Activity A

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.

Construct Parallel and Perpendicular Lines
Parallelogram Conditions
Simplifying Trigonometric Expressions

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

Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

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

Area of Parallelograms - Activity A
Classifying Quadrilaterals - Activity B
Parallelogram Conditions
Special Quadrilaterals

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

Concurrent Lines, Medians, and Altitudes

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

Classifying Triangles
Triangle Inequalities

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

Classifying Triangles
Isosceles and Equilateral Triangles

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.

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

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

Cosine Function
Sine Function
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Function
Tangent Ratio
Unit Circle

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.

Cosine Function
Sine Function
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Function

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

Chords and Arcs

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).

Chords and Arcs
Classifying Triangles
Inscribing Angles
Parallelogram Conditions

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.

Correlation
Lines of Best Fit Using Least Squares - Activity A

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

Describing Data Using Statistics
Scatter Plots - Activity A

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

Distance-Time Graphs
Mean, Median and Mode

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

Correlation

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.

Binomial Probabilities
Compound Independent Events
Compound Independent and Dependent 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.

Binomial Probabilities
Permutations
Permutations and Combinations

IM2.4: Discrete Mathematics

IM2.4.5: Model and solve problems using matrices.

Road Trip (Problem Solving)

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

Conditional Statement