A: Students will demonstrate number sense and apply number theory concepts.
A.A1: demonstrate an understanding of recursive formulas
Arithmetic Sequences
Geometric Sequences
A.A3: represent arithmetic and geometric sequences as ordered pairs and discrete graphs
Arithmetic and Geometric Sequences
A.A6: explain the connections between real and complex numbers
Points in the Complex Plane
B: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.
B.B1: describe the relationship between arithmetic operations and operations on rational algebraic expressions and equations
Dividing Exponential Expressions
Equivalent Algebraic Expressions I
Multiplying Exponential Expressions
B.B6: determine and apply the derivative of a function
Graphs of Derivative Functions
B.B9: apply operations on complex numbers both in rectangular and polar form
Points in the Complex Plane
C: Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.
C.C1: model problem situations using discrete structures such as sequences and recursive formulas
Arithmetic Sequences
Geometric Sequences
C.C3: model real-world phenomena using polynomial functions and rational functions
General Form of a Rational Function
Rational Functions
C.C5: use tables and graphs as tools to interpret expressions
Solving Equations on the Number Line
C.C6: demonstrate an understanding for asymptotic behavior
Exponential Functions
General Form of a Rational Function
Hyperbolas
Introduction to Exponential Functions
Logarithmic Functions
Rational Functions
C.C10: analyze and solve polynomial, rational, irrational, and absolute value equations
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
C.C11: solve polynomial, rational, irrational, and absolute value inequalities
Absolute Value Equations and Inequalities
Compound Inequalities
C.C13: extend an understanding for exponential growth and decay through multiple contexts
Compound Interest
C.C14: analyze relations, functions and their graphs
Absolute Value with Linear Functions
Exponential Functions
Introduction to Exponential Functions
Introduction to Functions
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
Standard Form of a Line
C.C15: determine the equations of polynomial and rational functions
General Form of a Rational Function
Graphs of Polynomial Functions
Quadratics in Factored Form
Rational Functions
C.C16: analyze the effect of parameter changes on the graphs of functions and express the changes using transformations
Introduction to Exponential Functions
Rational Functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Translations
Zap It! Game
C.C18: demonstrate an understanding for recursive formulas and how recursive formulas relate to a variety of sequences
Arithmetic Sequences
Geometric Sequences
C.C20: factor polynomial expressions
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
C.C27: represent complex numbers in a variety of ways
Points in the Complex Plane
C.C28: construct and examine graphs in the complex and polar planes
Points in the Complex Plane
E: Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.
E.E2: develop and evaluate mathematical arguments and proofs
Biconditional Statements
Correlation last revised: 9/16/2020