Academic Standards

IM3.1.1: Solve combined linear inequalities.

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

IM3.1.2: Use a graph to find the solution set of a pair of linear inequalities in two variables.

Linear Programming

Systems of Linear Inequalities (Slope-intercept form)

IM3.1.3: Find a common monomial factor in a polynomial.

IM3.1.4: Factor the difference of two squares and other quadratics.

Factoring Special Products

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

Quadratics in Factored Form

IM3.1.7: Solve quadratic equations by factoring.

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

Quadratics in Factored Form

IM3.1.9: Complete the square to solve quadratic equations.

IM3.1.10: Derive the quadratic formula by completing the square.

IM3.1.11: Solve equations that contain radical expressions.

Operations with Radical Expressions

IM3.1.12: Recognize and graph various types of functions, including polynomials, rational, and algebraic functions.

General Form of a Rational Function

Graphs of Polynomial Functions

Polynomials and Linear Factors

Quadratics in Factored Form

Rational Functions

IM3.1.14: Understand composition of functions and combine functions by composition.

Function Machines 1 (Functions and Tables)

IM3.1.15: Graph relations and functions with and without graphing technology.

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

Introduction to Functions

Linear Functions

Point-Slope Form of a Line

Quadratics in Factored Form

Quadratics in Polynomial Form

Radical Functions

Standard Form of a Line

IM3.1.17: Solve an inequality by examining the graph.

Absolute Value Equations and Inequalities

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Quadratic Inequalities

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

IM3.1.18: Graph functions defined piece-wise.

Absolute Value with Linear Functions

IM3.1.19: Graph absolute value equations and inequalities.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Compound Inequalities

IM3.1.20: Use substitution, elimination, and matrices to solve systems of two or three equations in two or three variables.

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

IM3.1.21: Use system of equations and inequalities to solve word problems.

Linear Programming

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

IM3.1.22: Define complex numbers and perform basic operations with them.

Points in the Complex Plane

Roots of a Quadratic

IM3.1.23: Understand how real and complex numbers are related, including plotting complex numbers as points in the plane.

IM3.1.24: Solve quadratic equations in the complex number system.

Points in the Complex Plane

Roots of a Quadratic

IM3.1.25: Solve word problems using quadratic equations.

Addition and Subtraction of Functions

IM3.1.26: Solve equations that contain radical expressions.

Operations with Radical Expressions

Radical Functions

IM3.1.28: Write the equations of conic sections (circle, ellipse, parabola, and hyperbola).

Circles

Ellipses

Hyperbolas

Parabolas

IM3.1.29: Graph conic sections.

IM3.1.31: Divide polynomials by others of lower degree.

Dividing Polynomials Using Synthetic Division

IM3.1.32: Factor polynomials completely and solve polynomial equations by factoring.

Factoring Special Products

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

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

IM3.1.37: Understand and use negative and fractional exponents.

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

IM3.1.40: Solve equations involving algebraic fractions.

Solving Algebraic Equations II

IM3.1.42: Solve problems of direct, inverse, and joint variation.

Determining a Spring Constant

Direct and Inverse Variation

IM3.1.45: Solve logarithmic and exponential equations and inequalities.

IM3.1.50: Define arithmetic and geometric sequences and series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

IM3.1.51: Find specified terms of arithmetic and geometric sequences.

Arithmetic Sequences

Geometric Sequences

IM3.2.1: Understand and use the relationships between special pairs of angles formed by parallel lines and transversals.

Constructing Congruent Segments and Angles

Triangle Angle Sum

IM3.2.2: Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.

Point-Slope Form of a Line

Points, Lines, and Equations

IM3.2.3: Use properties of congruent and similar polygons to solve problems.

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Similar Figures

Similarity in Right Triangles

IM3.2.5: Describe, classify, and understand relationships among quadrilaterals square, rectangles, rhombus, parallelogram, trapezoid, and kite.

IM3.2.9: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles.

Beam to Moon (Ratios and Proportions)

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures

Similarity in Right Triangles

IM3.2.15: Find and use measures of sides, volumes of solids, and surface areas of solids. Relate these measures to each other using formulas.

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

IM3.3.1: Understand and apply basic ideas related to the design and interpretation of surveys, such as background information, random sampling, and bias.

Polling: City

Polling: Neighborhood

IM3.3.2: Construct simulated sampling distributions of sample proportions and use sampling distributions to identify which proportions are likely to be found in a sample of a given size.

Polling: City

Populations and Samples

IM3.3.3: Construct and interpret margin of error and confidence intervals for population proportions.

Polling: City

Polling: Neighborhood

IM3.3.4: Understand the standard deviation as a measure of variability in a distribution.

IM3.5.1: Use iteration and recursion as tools to represent, analyze, and solve problems involving sequential change.

Arithmetic Sequences

Geometric Sequences

IM3.7.1: 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 set as the original. Understand that similar logic applies to solving systems of equations simultaneously.

Solving Linear Systems (Standard Form)

IM3.7.4: Identify the hypothesis and conclusion in a logical deduction.

Biconditional Statements

Conditional Statements

IM3.7.5: Use counterexamples to show that statements are false, recognizing that a single counterexample is sufficient to prove a general statement false.

IM3.7.6: Use properties of number systems and the order of operations to justify the steps of simplifying functions and solving equations.

Solving Algebraic Equations II

Solving Equations on the Number Line

IM3.7.7: Identify and give examples of undefined terms, axioms, and theorems, and inductive and deductive proof.

Investigating Angle Theorems

Isosceles and Equilateral Triangles

Parallel, Intersecting, and Skew Lines

IM3.7.8: Construct logical arguments, judge their validity, and give counterexamples to disprove statements.

Biconditional Statements

Conditional 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.