IA-2: The student will demonstrate through the mathematical processes an understanding of functions, systems of equations, and systems of linear inequalities.

IA-2.2: Carry out a procedure to solve a system of linear inequalities graphically.

 Linear Programming
 Systems of Linear Inequalities (Slope-intercept form)

IA-2.3: Analyze a problem situation to determine a system of linear inequalities that models the problem situation.

 Linear Programming
 Systems of Linear Inequalities (Slope-intercept form)

IA-2.4: Use linear programming to solve contextual problems involving a system of linear inequalities.

 Linear Programming

IA-2.7: Carry out a procedure to graph translations of parent functions (including y = x, y = x², y = square root of x, y = absolute value of x, and y = 1/x).

 Absolute Value with Linear Functions
 General Form of a Rational Function
 Quadratics in Vertex Form
 Rational Functions
 Translating and Scaling Functions
 Translations
 Zap It! Game

IA-2.8: Carry out a procedure to graph transformations of parent functions (including y = x, y = x², and y = absolute value of x).

 Absolute Value with Linear Functions
 Exponential Functions
 Quadratics in Vertex Form
 Translating and Scaling Functions
 Translations
 Zap It! Game

IA-2.9: Carry out a procedure to graph discontinuous functions (including piecewise and step functions).

 Absolute Value with Linear Functions

IA-2.11: Carry out a procedure to solve a system of equations (including two linear functions and one linear function with one quadratic function).

 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)

IA-3: The student will demonstrate through the mathematical processes an understanding of quadratic equations and the complex number system.

IA-3.1: Carry out a procedure to simplify expressions involving powers of i.

 Points in the Complex Plane

IA-3.2: Carry out a procedure to perform operations with complex numbers (including addition, subtraction, multiplication, and division).

 Points in the Complex Plane

IA-3.3: Carry out a procedure to solve quadratic equations algebraically (including factoring, completing the square, and applying the quadratic formula).

 Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form
 Roots of a Quadratic

IA-3.4: Use the discriminant to determine the number and type of solutions of a quadratic equation.

 Roots of a Quadratic

IA-3.5: Analyze given information (including quadratic models) to solve contextual problems.

 Addition and Subtraction of Functions
 Quadratics in Polynomial Form

IA-3.6: Carry out a procedure to write an equation of a quadratic function when given its roots.

 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form

IA-4: The student will demonstrate through the mathematical processes an understanding of algebraic expressions and nonlinear functions.

IA-4.1: Carry out a procedure to perform operations (including multiplication, exponentiation, and division) with polynomial expressions.

 Addition and Subtraction of Functions
 Addition of Polynomials
 Dividing Exponential Expressions
 Dividing Polynomials Using Synthetic Division
 Exponents and Power Rules
 Modeling the Factorization of x2+bx+c
 Multiplying Exponential Expressions

IA-4.2: Carry out a procedure to determine specified points (including zeros, maximums, and minimums) of polynomial functions.

 Graphs of Polynomial Functions
 Polynomials and Linear Factors
 Quadratics in Factored Form

IA-4.9: Carry out a procedure to solve radical equations algebraically.

 Operations with Radical Expressions
 Radical Functions

IA-4.13: Carry out a procedure to graph logarithmic functions.

 Logarithmic Functions

IA-4.14: Carry out a procedure to graph exponential functions.

 Compound Interest
 Exponential Functions
 Introduction to Exponential Functions
 Logarithmic Functions

IA-5: The student will demonstrate through the mathematical processes an understanding of conic sections.

IA-5.1: Carry out a procedure to graph the circle whose equation is the form x² + y² = r².

 Circles

IA-5.2: Carry out a procedure to write an equation of a circle centered at the origin when given its radius.

 Circles

IA-5.3: Carry out a procedure to graph the ellipse whose equation is the form (x²/a²) + (y²/b²) = 1.

 Ellipses

IA-5.4: Carry out a procedure to write an equation of an ellipse centered at the origin when given information from among length of major axis, length of minor axis, and vertices.

 Ellipses

IA-5.5: Carry out a procedure to graph the hyperbola whose equation is the form (x²/a²) - (y²/b²) = 1.

 Hyperbolas

IA-5.6: Carry out a procedure to write an equation of a hyperbola centered at the origin with specified vertices.

 Hyperbolas

IA-5.7: Match the equation of a conic section with its graph.

 Circles
 Ellipses
 Hyperbolas
 Parabolas

IA-6: The student will demonstrate through the mathematical processes an understanding of sequences and series.

IA-6.1: Categorize a sequence as arithmetic, geometric, or neither.

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences

IA-6.2: Carry out a procedure to write a specified term of an arithmetic or geometric sequence when given the nth term of the sequence.

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences

IA-6.3: Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four consecutive terms of the sequence.

 Arithmetic Sequences
 Geometric Sequences

IA-6.4: Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four terms of the sequence.

 Arithmetic Sequences
 Geometric Sequences

IA-6.7: Carry out a procedure to determine consecutive terms of a sequence that is defined recursively.

 Arithmetic Sequences
 Geometric Sequences

IA-6.8: Carry out a procedure to define a sequence recursively when given four or more consecutive terms of the sequence.

 Arithmetic Sequences
 Geometric Sequences

IA-6.9: Translate between the explicit form and the recursive form of sequences.

 Arithmetic Sequences
 Geometric Sequences

Correlation last revised: 4/4/2018

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