Curriculum Framework
MO.1.AIII.3: Add, subtract, and multiply matrices of appropriate dimensions
MO.1.AIII.5: Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers; the determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse
Solving Linear Systems (Matrices and Special Solutions)
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
Points in the Complex Plane
Roots of a Quadratic
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
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
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
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.3: Read values of an inverse function from a graph or a table, given that the function has an inverse
Function Machines 3 (Functions and Problem Solving)
Logarithmic Functions
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: 5/8/2018