Curriculum Framework

MO.1.AIII.2: Multiply matrices by scalars to produce new matrices (e.g., as when all of the payoffs in a game are doubled).

MO.1.AIII.7: Work with 2 𝑋 2 matrices as transformations of the plane; interpret the absolute value of the determinant in terms of area.

MO.1.AIII.8: Represent a system of linear equations as a single matrix equation in a vector variable.

Solving Linear Systems (Matrices and Special Solutions)

MO.1.AIII.9: Find the inverse of a matrix if it exists; use the inverse to solve systems of linear equations using technology for matrices of dimension 3 𝑋 3 or greater.

Solving Linear Systems (Matrices and Special Solutions)

CS.2.AIII.1: Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

CS.2.AIII.2: Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant; find the equations for the asymptotes of a hyperbola.

Ellipses

Hyperbolas

Rational Functions

CS.2.AIII.3: Complete the square in order to generate an equivalent form of an equation for a conic section; use that equivalent form to identify key characteristics of the conic section.

CS.2.AIII.4: Identify, graph, write, and analyze equations of each type of conic section, using properties such as symmetry, intercepts, foci, asymptotes, and eccentricity, and using technology when appropriate.

Addition and Subtraction of Functions

Circles

Ellipses

Hyperbolas

Parabolas

Rational Functions

CS.2.AIII.5: Solve systems of equations and inequalities involving conics and other types of equations, with and without appropriate technology.

Linear Programming

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

Systems of Linear Inequalities (Slope-intercept form)

FOP.3.AIII.1: Compose functions (e.g., if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time).

Function Machines 1 (Functions and Tables)

FOP.3.AIII.2: Verify, by composition, that one function is the inverse of another.

FOP.3.AIII.3: Read values of an inverse function from a graph or a table, given that the function has an inverse.

FOP.3.AIII.5: Combine standard function types using arithmetic operations (e.g., build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential and relate these functions to the model).

Addition and Subtraction of Functions

FOP.3.AIII.6: Understand the inverse relationship between exponents and logarithms; use this relationship to solve problems involving logarithms and exponents.

FOP.3.AIII.7: Graph transformations of functions including quadratic, absolute value, square root, cube root, cubic, and step functions; graph piece-wise defined functions including these transformations.

Absolute Value with Linear Functions

Exponential Functions

Quadratics in Vertex Form

Translating and Scaling Functions

Translations

Zap It! Game

IF.4.AIII.1: Graph rational functions identifying zeros and asymptotes when suitable factorizations are available; show end behavior.

General Form of a Rational Function

Rational Functions

IF.4.AIII.2: Analyze and interpret polynomial functions numerically, graphically, and algebraically, identifying key characteristics such as intercepts, end behavior, domain and range, relative and absolute maximum and minimum, as well as intervals over which the function increases and decreases.

Graphs of Polynomial Functions

Polynomials and Linear Factors

Quadratics in Factored Form

Quadratics in Vertex Form

IF.4.AIII.3: Analyze and interpret rational functions numerically, graphically, and algebraically, identifying key characteristics such as asymptotes (vertical, horizontal, and slant), end behavior, point discontinuities, intercepts, and domain and range.

General Form of a Rational Function

Rational Functions

IF.4.AIII.4: Analyze and interpret exponential functions numerically, graphically, and algebraically, identifying key characteristics such as asymptotes, end behavior, intercepts, and domain and range.

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

IF.4.AIII.5: Analyze and interpret logarithmic functions numerically, graphically, and algebraically, identifying key characteristics such as asymptotes, end behavior, intercepts, and domain and range.

SS.5.AIII.1: Write arithmetic and geometric sequences both recursively and with an explicit formula; translate between the two forms.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

SS.5.AIII.2: Use arithmetic and geometric sequences both recursively and with an explicit formula to model situations.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

Correlation last revised: 9/15/2020

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