Main content
Math
- Number and Quantity
- Algebra and Functions - Focus 1: Algebra
- Algebra and Functions - Focus 2: Connecting Algebra to Functions
- Data Analysis, Statistics, and Probability - Focus 1: Quantitative Literacy
- Data Analysis, Statistics, and Probability - Focus 2: Visualizing and Summarizing Data
- Geometry and Measurement - Focus 1: Measurement
- Geometry and Measurement - Focus 2: Transformations
- Geometry and Measurement - Focus 3: Geometric Arguments, Reasoning, and Proof
- Geometry and Measurement - Focus 4: Solving Applied Problems and Modeling in Geometry
- Number and Quantity
- Algebra and Functions - Focus 1: Algebra
- Algebra and Functions - Focus 2: Connecting Algebra to Functions
- Algebra and Functions - Focus 3: Functions
- Data Analysis, Statistics, and Probability - Focus 1: Quantitative Literacy
- Data Analysis, Statistics, and Probability - Focus 2: Visualizing and Summarizing Data
- Data Analysis, Statistics, and Probability – Probability
- Number and Quantity
- Algebra and Functions - Focus 1: Algebra
- Algebra and Functions - Focus 2: Connecting Algebra to Functions
- Algebra and Functions - Focus 3: Functions
- Data Analysis, Statistics, and Probability - Focus 1: Quantitative Literacy
- Data Analysis, Statistics, and Probability - Focus 2: Visualizing and Summarizing Data
- Data Analysis, Statistics, and Probability - Focus 3: Statistical Inference
- Geometry and Measurement - Focus 1: Measurement
- Geometry and Measurement - Focus 4: Solving Applied Problems and Modeling in Geometry
- Number and Quantity - The Complex Number System
- Number and Quantity - Limits
- Number and Quantity - Vector and Matrix Quantities
- Algebra - Seeing Structure in Expressions
- Algebra - Arithmetic With Polynomials and Rational Expressions
- Algebra - Reasoning With Equations and Inequalities
- Functions - Interpreting Functions
- Building Functions
- Trigonometric Functions
Alabama Math
Precalculus: Number and Quantity - The Complex Number System
Perform arithmetic operations with complex numbers.
PC.2
Fully covered
- Absolute value of complex numbers
- Add & subtract complex numbers
- Adding complex numbers
- Complex number absolute value & angle review
- Complex number conjugates
- Complex number conjugates
- Complex number equations: x³=1
- Complex number operations review
- Complex number polar form review
- Complex numbers with the same modulus (absolute value)
- Divide complex numbers
- Dividing complex numbers in polar form
- Dividing complex numbers review
- Graphically add & subtract complex numbers
- Graphically multiply complex numbers
- Intro to complex number conjugates
- Modulus (absolute value) of complex numbers
- Multiply & divide complex numbers in polar form
- Multiply complex numbers
- Multiplying complex numbers
- Multiplying complex numbers
- Multiplying complex numbers graphically example: -1-i
- Multiplying complex numbers graphically example: -3i
- Multiplying complex numbers in polar form
- Powers of complex numbers
- Powers of the imaginary unit
- Powers of the imaginary unit
- Powers of the imaginary unit
- Subtracting complex numbers
- Taking and visualizing powers of a complex number
- Visualizing complex number multiplication
- Visualizing complex number powers
Represent complex numbers and their operations on the complex plane.
PC.3
Fully covered
- Absolute value & angle of complex numbers
- Angle of complex numbers
- Complex number absolute value & angle review
- Complex number forms review
- Complex numbers from absolute value & angle
- Complex plane and polar form
- Converting a complex number from polar to rectangular form
- Graphically add & subtract complex numbers
- Modulus (absolute value) of complex numbers
- Plot numbers on the complex plane
- Plotting numbers on the complex plane
- Polar & rectangular forms of complex numbers
- Polar & rectangular forms of complex numbers
- The complex plane
PC.4
Fully covered
- Complex number conjugates
- Complex number equations: x³=1
- Complex number polar form review
- Dividing complex numbers in polar form
- Graphically add & subtract complex numbers
- Graphically multiply complex numbers
- Intro to complex number conjugates
- Multiply & divide complex numbers in polar form
- Multiplying complex numbers graphically example: -1-i
- Multiplying complex numbers graphically example: -3i
- Multiplying complex numbers in polar form
- Powers of complex numbers
- Taking and visualizing powers of a complex number
- Visualizing complex number multiplication
- Visualizing complex number powers
PC.5
Mostly covered
Use complex numbers in polynomial identities and equations.
PC.6
Mostly covered
- Graphs of polynomials
- Graphs of polynomials: Challenge problems
- Multiplicity of zeros of polynomials
- Number of possible real roots of a polynomial
- Positive & negative intervals of polynomials
- Positive & negative intervals of polynomials
- Quadratics & the Fundamental Theorem of Algebra
- The Fundamental theorem of Algebra
- Vertex form introduction
- Zeros of polynomials (factored form)
- Zeros of polynomials (multiplicity)
- Zeros of polynomials (multiplicity)
- Zeros of polynomials (with factoring)
- Zeros of polynomials (with factoring): common factor
- Zeros of polynomials (with factoring): grouping
- Zeros of polynomials & their graphs
- Zeros of polynomials introduction
- Zeros of polynomials: matching equation to graph
- Zeros of polynomials: matching equation to zeros
- Zeros of polynomials: plotting zeros