MO--Learning Standards

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.

SSE.A.2: Analyze the structure of polynomials to create equivalent expressions or equations.

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

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.

Modeling the Factorization of *x*^{2}+*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

Exploring Linear Inequalities in One Variable

Geometric Sequences

Linear Inequalities in Two Variables

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

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.

Parabolas

Point-Slope Form of a Line

Points, Lines, and Equations

Solving Equations by Graphing Each Side

Standard Form of a Line

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.

Solving Algebraic Equations II

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.

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 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

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

Systems of Linear Inequalities (Slope-intercept form)

REI.C.3: Solve problems involving a system of linear inequalities.

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 *x*^{2}+*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.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

Introduction to Exponential 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.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

Graphs of Polynomial Functions

Introduction to Exponential Functions

Linear Functions

Logarithmic Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

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.

Introduction to Functions

Logarithmic Functions

Radical 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-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

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

Exponential Functions

Graphs of Polynomial Functions

Introduction to Exponential Functions

Linear Functions

Logarithmic Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Slope-Intercept Form of a Line

Translating and Scaling 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.

Linear Functions

Slope-Intercept Form of a Line

BF.A.1: Analyze the effect of translations and scale changes on functions.

Absolute Value with Linear Functions

Introduction to Exponential Functions

Quadratics in Vertex Form

Translating and Scaling 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

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

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

Compound Interest

Exponential Functions

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

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)

Real-Time Histogram

Stem-and-Leaf Plots

DS.A.4: Summarize data in two-way frequency tables.

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.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: 9/24/2019

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