MO--Learning Standards
NQ.A.1: Explain how the meaning of rational exponents extends from the properties of integer exponents.
NQ.B.1: Use units of measure as a way to understand and solve problems involving quantities.
NQ.B.1.b: Convert units and rates.
SSE.A.1: Interpret the contextual meaning of individual terms or factors from a given problem that utilizes formulas or expressions.
Compound Interest
Operations with Radical Expressions
Translating and Scaling Functions
Using Algebraic Expressions
SSE.A.2: Analyze the structure of polynomials to create equivalent expressions or equations.
Dividing Exponential Expressions
Equivalent Algebraic Expressions II
Exponents and Power Rules
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
Multiplying Exponential Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Simplifying Trigonometric Expressions
Solving Algebraic Equations II
Using Algebraic Expressions
SSE.A.3: Choose and produce equivalent forms of a quadratic expression or equations to reveal and explain properties.
SSE.A.3.a: Find the zeros of a quadratic function by rewriting it in factored form.
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
Quadratics in Factored Form
SSE.A.3.b: Find the maximum or minimum value of a quadratic function by completing the square.
CED.A.1: Create equations and inequalities in one variable and use them to model and/or solve problems.
Absolute Value Equations and Inequalities
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
CED.A.2: Create and graph linear, quadratic and exponential equations in two variables.
Absolute Value Equations and Inequalities
Circles
Compound Interest
Linear Functions
Parabolas
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Polynomial Form
Quadratics in Vertex Form
Slope-Intercept Form of a Line
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Standard Form of a Line
Using Algebraic Equations
CED.A.3: Represent constraints by equations or inequalities and by systems of equations or inequalities, and interpret the data points as a solution or non-solution in a modeling context.
Linear Inequalities in Two Variables
Linear Programming
Solving Linear Systems (Standard Form)
Systems of Linear Inequalities (Slope-intercept form)
CED.A.4: Solve literal equations and formulas for a specified variable that highlights a quantity of interest.
Area of Triangles
Solving Formulas for any Variable
REI.A.1: Explain how each step taken when solving an equation or inequality in one variable creates an equivalent equation or inequality that has the same solution(s) as the original.
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Formulas for any Variable
Solving Two-Step Equations
REI.A.2: Solve problems involving quadratic equations.
REI.A.2.a: Use the method of completing the square to create an equivalent quadratic equation.
REI.A.2.b: Derive the quadratic formula.
REI.A.2.c: Analyze different methods of solving quadratic equations.
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
Points in the Complex Plane
Roots of a Quadratic
REI.B.1: Solve a system of linear equations algebraically and/or graphically.
Cat and Mouse (Modeling with Linear Systems)
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
REI.B.3: Justify that the technique of linear combination produces an equivalent system of equations.
Solving Equations by Graphing Each Side
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
REI.C.1: Explain that the graph of an equation in two variables is the set of all its solutions plotted in the Cartesian coordinate plane.
Absolute Value Equations and Inequalities
Circles
Ellipses
Hyperbolas
Parabolas
Point-Slope Form of a Line
Points, Lines, and Equations
Standard Form of a Line
REI.C.2: Graph the solution to a linear inequality in two variables.
Linear Inequalities in Two Variables
Linear Programming
Systems of Linear Inequalities (Slope-intercept form)
REI.C.3: Solve problems involving a system of linear inequalities.
Linear Inequalities in Two Variables
Linear Programming
Systems of Linear Inequalities (Slope-intercept form)
APR.A.1: Add, subtract and multiply polynomials, and understand that polynomials follow the same general rules of arithmetic and are closed under these operations.
Addition and Subtraction of Functions
Addition of Polynomials
Modeling the Factorization of x2+bx+c
APR.A.2: Divide polynomials by monomials.
Dividing Polynomials Using Synthetic Division
IF.A.1: Understand that a function from one set (domain) to another set (range) assigns to each element of the domain exactly one element of the range.
IF.A.1.a: Represent a function using function notation.
Absolute Value with Linear Functions
Exponential Functions
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Exponential Functions
Introduction to Functions
Linear Functions
Logarithmic Functions
Parabolas
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
Standard Form of a Line
IF.A.1.b: Understand that the graph of a function labeled 𝑓 is the set of all ordered pairs (𝑥, y) that satisfy the equation 𝑦=f(𝑥).
Absolute Value with Linear Functions
Exponential Functions
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Exponential Functions
Introduction to Functions
Linear Functions
Logarithmic Functions
Parabolas
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
Standard Form of a Line
IF.A.2: Use function notation to evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Absolute Value with Linear Functions
Translating and Scaling Functions
Arithmetic Sequences
Compound Interest
Exponential Growth and Decay
Introduction to Exponential Functions
IF.B.1: Using tables, graphs and verbal descriptions, interpret key characteristics of a function that models the relationship between two quantities.
Absolute Value with Linear Functions
Exponential Functions
Function Machines 3 (Functions and Problem Solving)
General Form of a Rational Function
Graphs of Polynomial Functions
Introduction to Exponential Functions
Linear Functions
Logarithmic Functions
Points, Lines, and Equations
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
Slope-Intercept Form of a Line
Translating and Scaling Functions
IF.B.2: Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes.
General Form of a Rational Function
Introduction to Functions
Logarithmic Functions
Radical Functions
Rational Functions
IF.B.3: Determine the average rate of change of a function over a specified interval and interpret the meaning.
Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line
Translating and Scaling Functions
IF.B.4: Interpret the parameters of a linear or exponential function in terms of the context.
Arithmetic Sequences
Compound Interest
Exponential Growth and Decay
Introduction to Exponential Functions
IF.C.1: Graph functions expressed symbolically and identify and interpret key features of the graph.
Absolute Value with Linear Functions
Addition and Subtraction of Functions
Cosine Function
Exponential Functions
Graphs of Polynomial Functions
Introduction to Exponential Functions
Linear Functions
Logarithmic Functions
Logarithmic Functions: Translating and Scaling
Point-Slope Form of a Line
Points, Lines, and Equations
Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
Roots of a Quadratic
Sine Function
Slope-Intercept Form of a Line
Standard Form of a Line
Tangent Function
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Zap It! Game
IF.C.2: Translate between different but equivalent forms of a function to reveal and explain properties of the function and interpret these in terms of a context.
Factoring Special Products
Linear Functions
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
Quadratics in Factored Form
Quadratics in Vertex Form
Slope-Intercept Form of a Line
IF.C.3: Compare the properties of two functions given different representations.
General Form of a Rational Function
Graphs of Polynomial Functions
Linear Functions
Logarithmic Functions
Quadratics in Polynomial Form
Quadratics in Vertex Form
BF.A.1: Analyze the effect of translations and scale changes on 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
LQE.A.1: Distinguish between situations that can be modeled with linear or exponential functions.
LQE.A.1.a: Determine that linear functions change by equal differences over equal intervals.
Compound Interest
Direct and Inverse Variation
Exponential Functions
Exponential Growth and Decay
Introduction to Exponential Functions
Linear Functions
Slope-Intercept Form of a Line
LQE.A.1.b: Recognize exponential situations in which a quantity grows or decays by a constant percent rate per unit interval.
Compound Interest
Exponential Functions
Exponential Growth and Decay
Introduction to Exponential Functions
LQE.A.2: Describe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically.
Compound Interest
Introduction to Exponential Functions
LQE.A.3: Construct linear, quadratic and exponential equations given graphs, verbal descriptions or tables.
Absolute Value with Linear Functions
Addition and Subtraction of Functions
Arithmetic Sequences
Arithmetic and Geometric Sequences
Compound Interest
Exponential Functions
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Geometric Sequences
Introduction to Exponential Functions
Linear Functions
Logarithmic Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
Slope-Intercept Form of a Line
Standard Form of a Line
Translating and Scaling Functions
Zap It! Game
LQE.B.1: Write arithmetic and geometric sequences in recursive and explicit forms, and use them to model situations and translate between the two forms.
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
LQE.B.2: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the set of integers.
Arithmetic Sequences
Geometric Sequences
LQE.B.3: Find the terms of sequences given an explicit or recursive formula.
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
DS.A.1: Analyze and interpret graphical displays of data.
Box-and-Whisker Plots
Correlation
Real-Time Histogram
Stem-and-Leaf Plots
DS.A.2: Use statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets.
Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Polling: City
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
DS.A.3: Interpret differences in shape, center and spreads in the context of the data sets, accounting for possible effects of outliers.
Box-and-Whisker Plots
Describing Data Using Statistics
Least-Squares Best Fit Lines
Mean, Median, and Mode
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots
DS.A.4: Summarize data in two-way frequency tables.
DS.A.4.a: Interpret relative frequencies in the context of the data.
DS.A.4.b: Recognize possible associations and trends in the data.
DS.A.5: Construct a scatter plot of bivariate quantitative data describing how the variables are related; determine and use a function that models the relationship.
DS.A.5.a: Construct a linear function to model bivariate data represented on a scatter plot that minimizes residuals.
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
DS.A.5: Construct an exponential function to model bivariate data represented on a scatter plot that minimizes residuals.
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
Zap It! Game
DS.A.6: Interpret the slope (rate of change) and the y-intercept (constant term) of a linear model in the context of the data.
Cat and Mouse (Modeling with Linear Systems)
Correlation
Solving Using Trend Lines
Trends in Scatter Plots
DS.A.7: Determine and interpret the correlation coefficient for a linear association.
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Correlation last revised: 9/16/2020