Academic Standards

IM1.1.1: Compare real number expressions.

Comparing and Ordering Decimals

Rational Numbers, Opposites, and Absolute Values

IM1.1.2: Simplify square roots using factors.

Operations with Radical Expressions

IM1.1.3: Understand and use the distributive, associative, and commutative properties.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Square Roots

Using Algebraic Equations

IM1.1.5: Use dimensional (unit) analysis to organize conversions and computations.

IM1.2.1: Solve linear equations.

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Two-Step Equations

IM1.2.2: Solve equations and formulas for a specific variable.

Solving Formulas for any Variable

IM1.2.3: Find solution sets of linear inequalities when possible numbers are given for the variable.

Systems of Linear Inequalities (Slope-intercept form)

IM1.2.4: Solve linear inequalities using properties of order.

Compound Inequalities

Linear Inequalities in Two Variables

Solving Linear Inequalities in One Variable

IM1.2.5: Solve word problems that involve linear equations, formulas, and inequalities.

Point-Slope Form of a Line

Standard Form of a Line

IM1.2.6: Sketch a reasonable graph for a given relationship.

Absolute Value with Linear Functions

Distance-Time Graphs

Quadratics in Polynomial Form

IM1.2.8: Understand the concept of a function, decide if a given relation is a function and link equations to functions.

Absolute Value Equations and Inequalities

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

Points, Lines, and Equations

IM1.2.9: Find the domain and range of a relation.

IM1.2.10: Graph a linear equation.

Absolute Value with Linear Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Solving Equations by Graphing Each Side

Standard Form of a Line

IM1.2.11: Find the slope, x-intercept and y-intercept of a line given its graph, its equation, or two points on the line.

Cat and Mouse (Modeling with Linear Systems)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Point-Slope Form of a Line

Points, Lines, and Equations

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

IM1.2.12: Write the equation of a line in slope-intercept form. Understand how the slope and y-intercept are related to the equation.

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

IM1.2.13: Write the equation of a line given appropriate information.

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Solving Equations on the Number Line

Standard Form of a Line

IM1.2.16: Understand and use the substitution method to solve a pair of linear equations in two variables.

Solving Equations by Graphing Each Side

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

IM1.2.17: Understand and use the addition or subtraction method to solve a pair of linear equations in two variables.

Solving Linear Systems (Standard Form)

IM1.2.18: Understand and use multiplication with the addition or subtraction method to solve a pair of linear equations in two variables.

Solving Equations by Graphing Each Side

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

IM1.2.19: Use pairs of linear equations to solve word problems.

Cat and Mouse (Modeling with Linear Systems)

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

IM1.2.20: Add and subtract polynomials.

Addition and Subtraction of Functions

Addition of Polynomials

IM1.2.21: Multiple and divide monomials.

Dividing Exponential Expressions

Multiplying Exponential Expressions

IM1.2.23: Multiply polynomials.

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

IM1.2.24: Divide polynomials by monomials.

Dividing Polynomials Using Synthetic Division

IM1.2.26: Graph quadratic, cubic, and radical equations.

Parabolas

Quadratics in Polynomial Form

Radical Functions

Roots of a Quadratic

IM1.2.27: Solve quadratic equations by using the quadratic formula.

IM1.2.30: Graph exponential functions.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

IM1.3.1: Identify and describe convex, concave, and regular polygons.

IM1.3.3: Find and use measures of sides, perimeter, and areas of polygons, and relate these measures to each other using formulas.

Area of Parallelograms

Area of Triangles

Perimeter and Area of Rectangles

Perimeters and Areas of Similar Figures

IM1.3.4: Use properties of congruent and similar quadrilaterals to solve problems involving lengths and areas.

Perimeters and Areas of Similar Figures

Similar Figures

IM1.3.5: Find and use measures of sides, perimeters, and areas of quadrilaterals, and relate these measures to each other using formulas.

Area of Parallelograms

Area of Triangles

Perimeter and Area of Rectangles

IM1.3.6: Prove and use the Pythagorean Theorem.

Circles

Cosine Function

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine Function

Surface and Lateral Areas of Pyramids and Cones

Tangent Function

IM1.4.1: Construct a line plot.

Mean, Median, and Mode

Stem-and-Leaf Plots

IM1.4.2: Find measures of central tendency for a set of data.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Reaction Time 1 (Graphs and Statistics)

Stem-and-Leaf Plots

IM1.4.3: Find skewness and symmetry from a graph of data.

IM1.4.5: Identify clusters, gaps, and outliers for a set of data.

Describing Data Using Statistics

Least-Squares Best Fit Lines

Mean, Median, and Mode

IM1.4.6: Find a linear transformation.

Absolute Value with Linear Functions

Exponential Functions

IM1.4.8: Find the mean absolute deviation for a set of data.

Polling: City

Populations and Samples

Real-Time Histogram

Sight vs. Sound Reactions

IM1.4.9: Find the standard deviation and describe its properties.

Polling: City

Real-Time Histogram

Sight vs. Sound Reactions

IM1.4.10: Construct a frequency table for a set of data.

IM1.4.11: Summarize and interpret sets of data using center and variability.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Reaction Time 1 (Graphs and Statistics)

Stem-and-Leaf Plots

IM1.4.12: Construct a scatterplot from a set of data.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

IM1.4.13: Calculate the sum of squared differences for a set of data.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

IM1.4.14: Plot the least square regression line from a set of data.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

IM1.4.15: Compare sets of data using scatterplots and the line y = x, and interpret these comparisons for real-world data.

Correlation

Trends in Scatter Plots

IM1.4.16: Recognize patterns in tables and graphs that are modeled by linear equations.

Function Machines 2 (Functions, Tables, and Graphs)

IM1.5.2: Use empirical (experimental) and theoretical probabilities.

Binomial Probabilities

Geometric Probability

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

IM1.5.3: Understand independent events.

Independent and Dependent Events

IM1.5.4: Use the Law of Large Numbers to understand situations involving chance.

Theoretical and Experimental Probability

IM1.5.5: Understand the concept of a probability distribution. Understand how an approximate probability can be constructed using simulation involving chance.

IM1.6.6: Use a variety of recursion equations to describe a function.

Arithmetic Sequences

Geometric Sequences

IM1.7.1: Use a variety of problem solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards.

Estimating Population Size

Linear Inequalities in Two Variables

Modeling One-Step Equations

Solving Equations on the Number Line

Using Algebraic Equations

IM1.7.3: Use the properties of the real number system 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

IM1.7.4: 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)

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.