NQ: Number and Quantity

NQ.B: Use units to solve problems.

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.

Unit Conversions

SSE: Seeing Structure in Expressions

SSE.A: Interpret and use structure.

SSE.A.1: Interpret the contextual meaning of individual terms or factors from a given problem that utilizes formulas or expressions.

Compound Interest

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

Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+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 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.

Quadratics in Vertex Form

CED: Creating Equations

CED.A: Create equations that describe linear, quadratic and exponential relationships.

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: Reasoning with Equations and Inequalities

REI.A: Understand solving equations as a process, and solve equations and inequalities in one 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.

Roots of a Quadratic

REI.A.2.b: Derive the quadratic formula.

Roots of a Quadratic

REI.A.2.c: Analyze different methods of solving quadratic equations.

Roots of a Quadratic

REI.B: Solve systems of 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: Represent and solve linear and exponential equations and inequalities graphically.

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: Arithmetic with Polynomials and Rational Expressions

APR.A: Perform operations on polynomials.

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: Interpreting Functions

IF.A: Understand the concept of a function and use function notation.

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: Interpret linear, quadratic and exponential functions in terms of the context.

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: Analyze linear, quadratic and exponential functions using different representations.

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: Building Functions

BF.A: Build new functions from existing functions (limited to linear, quadratic and exponential).

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: Linear, Quadratic and Exponential Models

LQE.A: Construct and compare linear, quadratic and exponential models and solve problems.

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: Use arithmetic and geometric sequences.

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: Data and Statistical Analysis

DS.A: Summarize, represent and interpret data.

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.

Histograms

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.

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: 4/4/2018

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