1: Determine the relationships among the subsets of complex numbers.
Points in the Complex Plane - Activity A
2: Simplify expressions involving complex numbers, using order of operations and including conjugate and absolute value.
Absolute Value of a Complex Number
Points in the Complex Plane - Activity A
3: Analyze families of functions, including shifts, reflections, and dilations of y = k/x (inverse variation), y = kx (direct variation/linear), y = x² (quadratic), y = a to the x power (exponential), and y = log to base a of x (logarithmic).
3.1: Identifying the domain and range of a relation given its graph, a table of values, or its equation, including those with restricted domains
Distance-Time Graphs
Functions Involving Square Roots
Introduction to Functions
Using Tables, Rules and Graphs
4: Determine approximate real zeros of functions graphically and numerically and exact real zeros of polynomial functions.
4.1: Using completing the square, the zero product property, and the quadratic formula
Roots of a Quadratic
5: Identify the characteristics of quadratic functions from their roots, graphs, or equations.
5.1: Writing an equation when given its roots or graph
Polynomials and Linear Factors
5.2: Graphing a function when given its equation
Function Machines 2 (Functions, Tables, and Graphs)
5.3: Determining the nature of the solutions of a quadratic equation
Roots of a Quadratic
5.4: Determining the maximum or minimum values of quadratic functions both graphically and algebraically
Parabolas - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic
6: Perform operations on functions, including addition, subtraction, multiplication, division, and composition.
6.1: Determining the inverse of a function or a relation
Function Machines 3 (Functions and Problem Solving)
6.2: Performing operations on polynomial and rational expressions containing variables
Addition of Polynomials - Activity A
Dividing Exponential Expressions
6.3: Constructing graphs by analyzing their functions as sums or differences
Addition and Subtraction of Polynomials
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Using Tables, Rules and Graphs
7: Solve equations, inequalities, and applied problems involving absolute values, radicals, and quadratics over the complex numbers, as well as exponential and logarithmic functions.
7.2: Expressing the solution of an equation, inequality, or applied problem as a graph on a number line or by using set or interval notation
Compound Inequalities
Function Machines 2 (Functions, Tables, and Graphs)
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
10: Use different forms of representation to compare characteristics of data gathered from two populations.
10.2: Describing how sample statistics reflect values of population parameters
Polling: City
Polling: Neighborhood
11: Determine an equation of linear regression from a set of data.
11.1: Examining data to determine if a linear or quadratic relationship exists and to predict outcomes
Function Machines 2 (Functions, Tables, and Graphs)
Linear Functions
Quadratics in Factored Form
Roots of a Quadratic
12: Calculate probabilities of events using the laws of probability.
12.1: Using permutations and combinations to calculate probabilities
Binomial Probabilities
Permutations
Permutations and Combinations
12.3: Calculating probabilities of mutually exclusive events, independent events, and dependent events
Compound Independent Events
Compound Independent and Dependent Events
Correlation last revised: 3/17/2015