Main content
Math
- The Real Number System
- Quantities
- The Complex Number System
- Vector and Matrix Quantities
- Seeing Structure in Expressions
- Arithmetic with Polynomials and Rational Expressions
- Creating Equations
- Reasoning with Equations and Inequalities
- Interpreting Functions
- Building Functions
- Linear, Quadratic, and Exponential Models
- Interpreting Categorical and Quantitative Data
- Making Inferences and Justifying Conclusions
Arkansas Math
Mathematical Applications and Algorithms: Functions
The student will graphically, numerically, and algebraically evaluate concepts of different types of functions; include recursively defined functions, series, and sequences; and apply them to programming applications.
F.1.MAA.1
Mostly covered
- Arithmetic sequence problem
- Extend arithmetic sequences
- Extend geometric sequences
- Extend geometric sequences: negatives & fractions
- Extending arithmetic sequences
- Extending geometric sequences
- Geometric sequences review
- Intro to arithmetic sequence formulas
- Intro to arithmetic sequences
- Intro to arithmetic sequences
- Intro to geometric sequences
- Recursive formulas for geometric sequences
- Sequences and domain
- Use arithmetic sequence formulas
- Use geometric sequence formulas
- Using arithmetic sequences formulas
- Using explicit formulas of geometric sequences
- Using recursive formulas of geometric sequences
- Worked example: using recursive formula for arithmetic sequence
F.1.MAA.2
Not covered
(Content unavailable)
F.1.MAA.3
Mostly covered
- Construct exponential models
- Constructing exponential models
- Constructing exponential models: half life
- Constructing exponential models: percent change
- Convert linear equations to standard form
- Modeling with sinusoidal functions
- Point-slope form
- Reasoning with linear equations
- Reasoning with linear equations
- Reasoning with systems of equations
- Trig word problem: modeling annual temperature
- Trig word problem: modeling daily temperature
F.1.MAA.4
Fully covered
- Compare quadratic functions
- Comparing features of quadratic functions
- Comparing linear functions word problem: climb
- Comparing linear functions word problem: walk
- Comparing linear functions word problem: work
- Comparing linear functions word problems
- Comparing linear functions: equation vs. graph
- Comparing linear functions: faster rate of change
- Comparing linear functions: same rate of change
- Comparing maximum points of quadratic functions
F.1.MAA.5
Not covered
(Content unavailable)
F.1.MAA.6
Fully covered
- Arithmetic sequences review
- Converting recursive & explicit forms of arithmetic sequences
- Converting recursive & explicit forms of arithmetic sequences
- Converting recursive & explicit forms of arithmetic sequences
- Converting recursive & explicit forms of geometric sequences
- Converting recursive & explicit forms of geometric sequences
- Evaluate sequences in recursive form
- Evaluating sequences in recursive form
- Explicit & recursive formulas for geometric sequences
- Explicit formulas for arithmetic sequences
- Explicit formulas for arithmetic sequences
- Explicit formulas for arithmetic sequences
- Explicit formulas for geometric sequences
- Geometric sequences review
- Intro to arithmetic sequence formulas
- Intro to arithmetic sequences
- Linear functions word problem: iceberg
- Linear functions word problem: paint
- Linear models word problems
- Recursive formulas for arithmetic sequences
- Recursive formulas for arithmetic sequences
- Recursive formulas for arithmetic sequences
- Recursive formulas for geometric sequences
- Sequences and domain
- Sequences and domain
- Sequences intro
- Use arithmetic sequence formulas
- Use geometric sequence formulas
- Using arithmetic sequences formulas
- Using explicit formulas of geometric sequences
- Using recursive formulas of geometric sequences
- Worked example: using recursive formula for arithmetic sequence
F.1.MAA.7
Mostly covered
F.1.MAA.8
Mostly covered
- Cosine equation algebraic solution set
- Cosine equation solution set in an interval
- Evaluate inverse trig functions
- Interpret solutions of trigonometric equations in context
- Interpreting solutions of trigonometric equations
- Sine equation algebraic solution set
- Sinusoidal models word problems
- Solve sinusoidal equations
- Solve sinusoidal equations (basic)
F.1.MAA.9
Fully covered
- Classify complex numbers
- Classifying complex numbers
- i as the principal root of -1
- Intro to complex numbers
- Intro to complex numbers
- Intro to the imaginary numbers
- Intro to the imaginary numbers
- Parts of complex numbers
- Powers of the imaginary unit
- Powers of the imaginary unit
- Powers of the imaginary unit
- Simplify roots of negative numbers
- Simplifying roots of negative numbers
F.1.MAA.10
Fully covered
- Add & subtract complex numbers
- Adding complex numbers
- Complex number conjugates
- Complex number equations: x³=1
- Complex number operations review
- 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
- 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
F.1.MAA.11
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
- Limits using 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
- Next steps after indeterminate form (finding limits)
- 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