District Curriculum Overview

 

Subject:   Mathematics                                  Course:  322 Algebra 2 CP - Functions                                           Grade Level: 9 – 12

 

Concepts

Topics/Units

Content/Skills

Essential Activities/Agreements

Using recursive and explicit formulas to describe sequences

Algebraic Notation

·         Subscript notation and sequences

 

Functions vs. relations

Recognizing various functions from equations, graphs, ordered pairs, or data tables

Function Concept

·         Graphing functions

·         Vertical line test

·         Independent and dependent variables

 

Recognizing and graphing linear functions from equations, graphs, or data tables

Linear Functions

·         Point-slope, standard, and slope-intercept forms

·         Linear inequalities

Arithmetic sequences

Using systems of equations to represent and solve problems with multiple constraints

Systems

·         Solving systems of equations and inequalities

·         Consistent and inconsistent

Linear programming common  assessment

 

Using direct, inverse, or joint variation to represent and solve problems.

Variation

·         Fundamental theorem of variation

·         Fit an equation to data

 

Using quadratic functions to represent, solve, and analyze real-world problems

Quadratic Functions

·         Vertex form, standard form, and factored form

·         Complex numbers

Common Mid=term Exam

Using function notation

Graphing  a variety of common functions

Functions

·         Euler’s notation

·         Inverses

·         Composition, Translation

 

Using exponential functions to represent and solve real-world problems

Exponential Functions

·         Laws of exponents

·         Solving equations

nth roots

Compound interest

Exponential growth/decay

Using logarithms to solve real-world problems

Logarithms

·         Solve and graph equations using logarithms

 

Using properties of polynomial equations to understand their graphs

Polynomials

·         Operations w/ polynomials

·         Graphs of polynomials

·         Roots of polynomials

Common Final Exam