### I: Students will expand number sense to understand, perform operations, and solve problems with real numbers.

#### I.1: Represent real numbers as points on the number line and distinguish rational numbers from irrational numbers.

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

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

#### I.2: Compute fluently and make reasonable estimates with rational and irrational numbers.

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

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

### II: Students will extend concepts of proportion to represent and analyze linear relations.

#### II.1: Represent and analyze the slope of a line.

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

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

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

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

#### II.2: Model and interpret problems having a constant rate of change using linear functions.

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

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

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

#### II.3: Represent and analyze linear relationships using algebraic equations, expressions, and graphs.

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

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

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.

### III: Students will develop fluency with the language and operations of algebra to analyze and represent relationships.

#### III.1: Simplify polynomials and the quotient of monomials.

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

III.1.d: Multiply binomials.

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

#### III.2: Solve and interpret linear equations and inequalities in various situations including real-world problems.

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

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

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

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

#### III.3: Solve and interpret pairs of linear equations and inequalities.

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

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

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

#### III.4: Factor polynomials with common monomial factors and factor simple quadratic expressions.

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.

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

#### III.5: Solve quadratic equations using factoring or by taking square roots.

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.

### IV: Students will understand concepts from statistics and apply statistical methods to solve problems.

#### IV.1: Summarize, display, and analyze bivariate data.

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

#### IV.2: Estimate, interpret, and use lines fit to bivariate data.

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

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

Correlation last revised: 5/24/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.