Core Curriculum

I.1.c: Classify pi and square roots of non-perfect square numbers as irrational.

Circumference and Area of Circles

Simplifying Radical Expressions

I.1.d: Place rational and irrational numbers on a number line between two integers.

Adding and Subtracting Integers

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

I.2.b: Evaluate and simplify numerical expressions containing rational numbers and square roots using the order of operations.

Order of Operations

Solving Equations on the Number Line

I.2.d: Calculate the measures of the sides of a right triangle using the Pythagorean Theorem.

Cosine Function

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine Function

Tangent Function

II.1.a: Identify the slope of a line when given points, a graph, or an equation.

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems)

Elevator Operator (Line Graphs)

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

II.1.b: Identify horizontal and vertical lines given the equations or slopes.

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

II.1.c: Determine the effect of changes in slope or y-intercept in y = mx + b.

Points, Lines, and Equations

Slope-Intercept Form of a Line

II.1.d: Determine and explain the meaning of slopes and intercepts using real-world examples.

Cat and Mouse (Modeling with Linear Systems)

Slope-Intercept Form of a Line

II.2.b: Represent linear equations in slope-intercept form, y = mx + b, and standard form, Ax+ By =C.

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

II.2.c: Distinguish between linear and non-linear functions by examining a table, equation, or graph.

Absolute Value with Linear Functions

Linear Functions

II.2.d: Interpret the slope of a linear function as a rate of change in real-world situations.

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Slope-Intercept Form of a Line

II.3.a: Write the equation of a line when given two points or the slope and a point on the line.

Point-Slope Form of a Line

Points, Lines, and Equations

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

II.3.c: Identify the x- and y-intercepts from an equation or graph of a line or a table of values.

Cat and Mouse (Modeling with Linear Systems)

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

II.3.d: Graph linear relations and inequalities by plotting points, by finding x- and y-intercepts, or by using the slope and any point on the line.

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems)

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

Standard Form of a Line

Systems of Linear Inequalities (Slope-intercept form)

III.1.a: Simplify and evaluate monomial expressions and formulas.

Dividing Exponential Expressions

Multiplying Exponential Expressions

Simplifying Algebraic Expressions II

III.1.b: Add and subtract polynomials.

Addition and Subtraction of Functions

Addition of Polynomials

III.1.d: Multiply binomials.

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

III.1.e: Simplify the quotient of monomials using positive exponents.

Dividing Exponential Expressions

III.2.a: Solve single-variable linear equations and inequalities algebraically and graphically.

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Equations by Graphing Each Side

Solving Linear Inequalities in One Variable

Solving Two-Step Equations

Systems of Linear Inequalities (Slope-intercept form)

III.2.b: Solve real-world problems involving constant rates of change.

Compound Interest

Determining a Spring Constant

Dilations

Direct and Inverse Variation

Estimating Population Size

III.2.c: Solve equations for a specified variable.

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations on the Number Line

Solving Formulas for any Variable

III.2.d: Solve proportions that include algebraic first-degree expressions.

III.3.a: Solve systems of two linear equations graphically and algebraically with and without technology.

Cat and Mouse (Modeling with Linear Systems)

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

III.3.b: Determine the number of possible solutions for a system of two linear equations.

Cat and Mouse (Modeling with Linear Systems)

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

III.3.c: Graph a system of linear inequalities and identify the solution.

Linear Programming

Systems of Linear Inequalities (Slope-intercept form)

III.4.a: Find the greatest common monomial factor of a polynomial.

III.4.b: Factor trinomials with integer coefficients of the form x2 + bx + c.

Factoring Special Products

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

III.4.c: Factor the difference of two squares and perfect square trinomials.

III.5.a: Solve quadratic equations that can be simplified to the form x2 = a where a ¡Ý 0 by taking square roots.

III.5.b: Solve quadratic equations using factoring.

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

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

Quadratics in Factored Form

Roots of a Quadratic

IV.1.a: Collect, record, organize, and display a set of data with at least two variables.

Box-and-Whisker Plots

Correlation

Describing Data Using Statistics

Graphing Skills

Reaction Time 2 (Graphs and Statistics)

Stem-and-Leaf Plots

IV.2.b: Interpret the slope and y-intercept of a line through data.

Correlation

Solving Using Trend Lines

Trends in Scatter Plots

IV.2.c: Predict y-values for given x-values when appropriate using a line fitted to bivariate numerical data.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

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.