Academic Standards

IM1.1.1: Determine whether a relation represented by a table, graph, words or equation is a function or not a function. Translate among tables, graphs, words and equations.

Introduction to Functions

Linear Functions

IM1.1.2: Identify the domain and range of relations represented by tables, graphs, words and equations.

Introduction to Functions

Using Algebraic Equations

Using Algebraic Expressions

IM1.1.3: Translate among various representations of linear functions like tables, graphs, words and equations.

Arithmetic Sequences

Function Machines 2 (Functions, Tables, and Graphs)

Introduction to Functions

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Algebraic Equations

Using Algebraic Expressions

Using Tables, Rules and Graphs

IM1.1.4: Graph linear equations and show that they have constant rates of change.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

IM1.1.5: Determine the slope, x-intercept and y-intercept of a line given its graph, its equation or two points on the line. Then determine the equation of a line given sufficient information.

Defining a Line with Two Points

Function Machines 2 (Functions, Tables, and Graphs)

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

IM1.1.6: Write, interpret and translate among equivalent forms of equations for linear functions (i.e., slope-intercept, point-slope and standard). Recognize that equivalent forms reveal more or less information about a given situation.

Defining a Line with Two Points

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

IM1.1.7: Solve problems that can be modeled using linear equations and inequalities, interpret the solutions and determine whether the solutions are reasonable.

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

IM1.1.8: Graph a linear inequality in two variables.

Linear Inequalities in Two Variables - Activity A

IM1.1.9: Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing, substitution or elimination.

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

IM1.1.10: Graph with and without technology the solution set for a pair of linear inequalities in two variables. Use the graph to find the solution set.

Inequalities Involving Absolute Values

Modeling Linear Systems - Activity A

Systems of Linear Inequalities (Slope-intercept form) - Activity A

IM1.1.11: Solve problems that can be modeled using pairs of linear equations containing two variables, interpret the solutions and determine whether the solutions are reasonable.

Modeling Linear Systems - Activity A

IM1.1.12: Graph quadratic functions.

Function Machines 2 (Functions, Tables, and Graphs)

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

IM1.1.13: Solve quadratic equations in the real number system with real number solutions by factoring, by completing the square and by using the quadratic formula.

Factoring Special Products

Roots of a Quadratic

IM1.1.15: Analyze and describe the relationships among the solutions of a quadratic equation, the zeros of a quadratic function, the x-intercepts of a graph of a quadratic function and the factors of a quadratic expression.

Polynomials and Linear Factors

Quadratics in Factored Form

Roots of a Quadratic

IM1.1.16: Sketch and interpret linear and non-linear graphs representing given situations and identify independent and dependent variables.

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Modeling Linear Systems - Activity A

Using Tables, Rules and Graphs

IM1.1.19: Simplify radical expressions involving square roots.

Simplifying Radicals - Activity A

IM1.1.20: Solve equations that contain radical expressions on only one side of the equation and identify extraneous roots when they occur.

Simplifying Radicals - Activity A

IM1.2.1: Find the length of line segments in one- or two-dimensional coordinate systems, the slopes of line segments in two-dimensional coordinate systems, and the point that is a given fractional distance from one end of the segment to another.

Slope - Activity B

Distance Formula - Activity A

IM1.2.2: Justifying the method used, find and use the sum of the measures of interior and exterior angles of convex polygons.

Triangle Angle Sum - Activity A

IM1.2.4: Solve problems involving congruent and similar polygons.

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

IM1.2.5: Predict and describe the results of translations, reflections and rotations on polygons. Describe a motion or series of motions that will show that two shapes are congruent.

Reflections

Rotations, Reflections and Translations

Translations

IM1.2.6: Deduce formulas relating lengths and sides, perimeters, and areas of regular polygons. Understand how limiting cases of such formulas lead to expressions for the circumference and area of a circle.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

IM1.2.9: Develop simple geometric proofs (i.e., direct proofs, indirect proofs, proofs by contradiction and proofs involving coordinate geometry) using two-column, paragraphs and flow charts formats. Provide reasons for each statement in the proofs.

Biconditional Statement

Conditional Statement

Simplifying Trigonometric Expressions

IM1.3.1: Organize and display data using appropriate methods to detect patterns and departures from patterns. Summarize the data using measures of center (i.e., mean, median) and spread (i.e., range, percentiles, variance, standard deviation). Compare data sets using graphs and summary statistics.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

Populations and Samples

Solving Using Trend Lines

IM1.3.2: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest and make inferences from sample results.

IM1.4.3: Define arithmetic and geometric sequences recursively.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

IM1.4.4: Determine the number of ways events can occur using permutations, combinations and the Fundamental Counting Principle.

Binomial Probabilities

Permutations

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.