MO--Learning Standards
NQ.A.3: Add, subtract, multiply and divide radical expressions.
Operations with Radical Expressions
NQ.A.4: Solve equations involving rational exponents and/or radicals and identify situations where extraneous solutions may result.
Operations with Radical Expressions
Radical Functions
NQ.B.1: Represent complex numbers.
Points in the Complex Plane
Roots of a Quadratic
NQ.B.2: Add, subtract, multiply and divide complex numbers.
SSE.A.2: Use the inverse relationship between exponents and logarithms to solve exponential and logarithmic equations.
Exponential Functions
Logarithmic Functions
REI.A.1: Create and solve equations and inequalities, including those that involve absolute value.
Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Arithmetic Sequences
Compound Interest
Exploring Linear Inequalities in One Variable
Geometric Sequences
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Quadratic Inequalities
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable
Solving Two-Step Equations
Using Algebraic Equations
REI.A.2: Solve rational equations where numerators and denominators are polynomials and where extraneous solutions may result.
REI.B.1: Create and solve systems of equations that may include non-linear equations and inequalities.
Linear Programming
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)
Systems of Linear Inequalities (Slope-intercept form)
APR.A.1: Extend the knowledge of factoring to include factors with complex coefficients.
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
APR.A.2: Understand the Remainder Theorem and use it to solve problems.
Dividing Polynomials Using Synthetic Division
Polynomials and Linear Factors
APR.A.5: Identify zeros of polynomials when suitable factorizations are available, and use the zeros to sketch the function defined by the polynomial.
Graphs of Polynomial Functions
Modeling the Factorization of x2+bx+c
Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Vertex Form
Roots of a Quadratic
Zap It! Game
IF.A.1: Identify and interpret key characteristics of functions represented graphically, with tables and with algebraic symbolism to solve problems.
Absolute Value with Linear Functions
Exponential Functions
General Form of a Rational Function
Graphs of Polynomial Functions
Introduction to Exponential Functions
Linear Functions
Logarithmic Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
IF.A.2: Translate between equivalent forms of functions.
Introduction to Functions
Points, Lines, and Equations
BF.A.1: Create new functions by applying the four arithmetic operations and composition of functions (modifying the domain and range as necessary).
Addition and Subtraction of Functions
BF.A.2: Derive inverses of functions, and compose the inverse with the original function to show that the functions are inverses.
BF.A.3: Describe the effects of transformations algebraically and graphically, creating vertical and horizontal translations, vertical and horizontal reflections and dilations (expansions/compressions) for linear, quadratic, cubic, square and cube root, absolute value, exponential and logarithmic functions.
Absolute Value with Linear Functions
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions
Logarithmic Functions: Translating and Scaling
Quadratics in Vertex Form
Radical Functions
Rational Functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Translations
Zap It! Game
FM.A.1: Create functions and use them to solve applications of quadratic and exponential function model problems.
Exponential Functions
Introduction to Exponential Functions
Quadratics in Polynomial Form
DS.A.1: Analyze how random sampling could be used to make inferences about population parameters.
Polling: City
Polling: Neighborhood
Populations and Samples
DS.A.2: Determine whether a specified model is consistent with a given data set.
Polling: City
Polling: Neighborhood
Populations and Samples
DS.A.3: Describe and explain the purposes, relationship to randomization and differences among sample surveys, experiments and observational studies.
Describing Data Using Statistics
Polling: City
Polling: Neighborhood
DS.A.4: Use data from a sample to estimate characteristics of the population and recognize the meaning of the margin of error in these estimates.
Polling: City
Polling: Neighborhood
DS.A.5: Describe and explain how the relative sizes of a sample and the population affect the margin of error of predictions.
Polling: City
Polling: Neighborhood
DS.A.6: Analyze decisions and strategies using probability concepts.
Estimating Population Size
Probability Simulations
Theoretical and Experimental Probability
DS.B.1: Know and use the characteristics of normally distributed data sets; predict what percentage of the data will be above or below a given value that is a multiple of standard deviations above or below the mean.
DS.B.2: Fit a data set to a distribution using its mean and standard deviation to determine whether the data is approximately normally distributed.
Polling: City
Populations and Samples
Real-Time Histogram
Sight vs. Sound Reactions
Correlation last revised: 9/16/2020