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: 5/24/2018