Academic Standards

IM2.1.1: Graph a linear inequality in two variables.

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

IM2.1.2: Interpret given situations as functions in graphs, formulas, and words.

Absolute Value with Linear Functions

Exponential Functions

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Exponential Functions

Linear Functions

Points, Lines, and Equations

Quadratics in Factored Form

Quadratics in Polynomial Form

Radical Functions

IM2.1.3: Find a linear equation that models a data set using the median fit method and use the model to make predictions.

Least-Squares Best Fit Lines

Solving Using Trend Lines

IM2.1.4: Graph quadratic functions. Show and explain the effects on the graph of changing a coefficient in a quadratic function. Find and interpret the zeros and maximum or minimum value of quadratic functions.

Addition and Subtraction of Functions

Exponential Functions

Modeling the Factorization of *x*^{2}+*bx*+*c*

Quadratics in Factored Form

Quadratics in Polynomial Form

Roots of a Quadratic

Translating and Scaling Functions

Translations

Zap It! Game

IM2.2.1: Find the lengths and midpoints of line segments in one-or two-dimensional coordinate systems.

IM2.2.4: Identify and describe triangles that are right, acute, obtuse, scalene, isosceles, equilateral, and equiangular.

Classifying Triangles

Concurrent Lines, Medians, and Altitudes

Isosceles and Equilateral Triangles

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Similarity in Right Triangles

Triangle Inequalities

IM2.2.5: Define, identify, and construct altitudes, medians, angle bisectors, and perpendicular bisectors.

Concurrent Lines, Medians, and Altitudes

Constructing Parallel and Perpendicular Lines

Segment and Angle Bisectors

IM2.2.6: Use properties of congruent and similar triangles to solve problems involving lengths and areas.

Perimeters and Areas of Similar Figures

Similar Figures

IM2.2.7: Find measures of sides, perimeters, and areas of triangles, and relate these measures to each other using formulas.

IM2.2.8: Prove, understand, and apply the inequality theorems: triangle inequality, inequality in one triangle, and the hinge theorem.

IM2.2.10: Use special right triangles (30°-60°-90° and 45°-45°-90°) to solve problems.

Cosine Function

Sine Function

Tangent Function

IM2.2.11: Define and apply the trigonometric functions (sine, cosine, tangent, cotangent, secant, cosecant) defined by angles of right triangles.

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

IM2.2.12: Know and use the relationship sin²x + cos²x = 1.

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

IM2.2.15: Define and identify relationships among: radius, diameter, arc, measure of an arc, chord, secant, and tangent.

Chords and Arcs

Inscribed Angles

IM2.2.16: Prove theorems related to circles.

IM2.2.17: Construct tangents to circles and circumscribe and inscribe circles.

Circumference and Area of Circles

Concurrent Lines, Medians, and Altitudes

Inscribed Angles

IM2.2.20: Define, find, and use measures of circumference, arc length, and areas of circles and sectors. Use these measures to solve problems.

Circumference and Area of Circles

Inscribed Angles

IM2.3.1: Describe the association between two variables by interpreting a scatterplot.

IM2.3.2: Interpret correlation coefficients.

IM2.3.3: Make predictions from the least squares regression line or its equation.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

IM2.3.4: Understand that a correlation between two variables does not necessarily imply one directly causes the other.

IM2.3.5: Understand the effects of outliers on correlation coefficients, on the least squares regression line, and on the interpretations of correlation coefficients and regression lines in real-life contexts.

Describing Data Using Statistics

Least-Squares Best Fit Lines

Mean, Median, and Mode

IM2.4.1: Construct a probability distribution by simulation and use it to understand and analyze the probabilistic situation.

IM2.4.2: Explore the geometric, or waiting-time, distribution.

Geometric Probability

Polling: City

IM2.4.3: Understand fundamental concepts of probability (i.e., independent events, multiplication rule, expected value).

Independent and Dependent Events

IM2.4.5: Use the basic counting principle, combinations, and permutations to compute probabilities.

Binomial Probabilities

Permutations and Combinations

IM2.5.6: Apply matrix operations to solve problems (i.e., row sums, scalar multiplication, addition, subtraction, and matrix multiplication).

IM2.5.7: Use matrices and inverse matrices to answer questions that involve systems of linear equations.

Solving Linear Systems (Matrices and Special Solutions)

IM2.6.1: Explore properties and applications of the sine, cosine, and tangent ratios for the lengths of sides of right triangles.

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

IM2.7.1: Use the properties of the real number system and the order of operations to justify the steps of simplifying functions and solving equations.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations II

Solving Equations on the Number Line

IM2.7.8: Understand that the logic of equation solving begins with the assumption that the variable is a number that satisfies the equation, and that the steps taken when solving equations create new equations that have, in most cases, the same solution as the original. Understand that similar logic applies to solving systems of equations simultaneously.

Solving Linear Systems (Standard Form)

Correlation last revised: 1/20/2017