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

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
 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
 Function Machines 3 (Functions and Problem Solving)
 Graphs of Polynomial Functions
 Introduction to Exponential Functions
 Linear Functions
 Logarithmic Functions
 Quadratics in Factored Form
 Quadratics in Polynomial 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
 Function Machines 3 (Functions and Problem Solving)
 Graphs of Polynomial Functions
 Introduction to Exponential Functions
 Linear Functions
 Logarithmic Functions
 Quadratics in Factored Form
 Quadratics in Polynomial 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.

 Function Machines 3 (Functions and Problem Solving)
 Linear Functions
 Slope-Intercept Form of a Line

IF.C.3: Compare the properties of two functions given different representations.

 Function Machines 1 (Functions and Tables)

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
 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
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 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
 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: 1/19/2017

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