A1.1: Operations and Linear Equations & Inequalities

A1.1.1: Operations with Real Numbers and Expressions

A1.1.1.1: Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, and exponents).

A1.1.1.1.1: Compare and/or order any real numbers.

 Comparing and Ordering Decimals
 Rational Numbers, Opposites, and Absolute Values

A1.1.1.1.2: Simplify square roots (e.g., square root of 24 = 2 square root of 6).

 Operations with Radical Expressions
 Simplifying Radical Expressions
 Square Roots

A1.1.1.2: Apply number theory concepts to show relationships between real numbers in problem-solving settings.

A1.1.1.2.1: Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.

 Factoring Special Products

A1.1.1.3: Use exponents, roots, and/or absolute values to solve problems.

A1.1.1.3.1: Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems.

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions
 Operations with Radical Expressions
 Simplifying Algebraic Expressions II

A1.1.1.4: Use estimation strategies in problem-solving situations.

A1.1.1.4.1: Use estimation to solve problems.

 Estimating Population Size

A1.1.1.5: Simplify expressions involving polynomials.

A1.1.1.5.1: Add, subtract, and/or multiply polynomial expressions (express answers in simplest form).

 Addition and Subtraction of Functions
 Addition of Polynomials
 Modeling the Factorization of x2+bx+c

A1.1.1.5.2: Factor algebraic expressions, including difference of squares and trinomials.

 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

A1.1.2: Linear Equations

A1.1.2.1: Write, solve, and/or graph linear equations using various methods.

A1.1.2.1.1: Write, solve, and/or apply a linear equation (including problem situations).

 Absolute Value with Linear Functions
 Linear Functions
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Point-Slope Form of a Line
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Two-Step Equations
 Standard Form of a Line

A1.1.2.1.2: Use and/or identify an algebraic property to justify any step in an equation-solving process.

 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations on the Number Line
 Solving Two-Step Equations

A1.1.2.1.3: Interpret solutions to problems in the context of the problem situation.

 Point-Slope Form of a Line
 Solving Equations by Graphing Each Side
 Standard Form of a Line

A1.1.2.2: Write, solve, and/or graph systems of linear equations using various methods.

A1.1.2.2.1: Write and/or solve a system of linear equations (including problem situations) using graphing, substitution, and/or elimination.

 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)

A1.1.2.2.2: Interpret solutions to problems in the context of the problem situation.

 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)

A1.1.3: Linear Inequalities

A1.1.3.1: Write, solve, and/or graph linear inequalities using various methods.

A1.1.3.1.1: Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).

 Absolute Value Equations and Inequalities
 Comparing and Ordering Decimals
 Compound Inequalities
 Solving Linear Inequalities in One Variable

A1.1.3.1.2: Identify or graph the solution set to a linear inequality on a number line.

 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Solving Linear Inequalities in One Variable

A1.1.3.1.3: Interpret solutions to problems in the context of the problem situation.

 Compound Inequalities
 Linear Inequalities in Two Variables

A1.1.3.2: Write, solve, and/or graph systems of linear inequalities using various methods.

A1.1.3.2.1: Write and/or solve a system of linear inequalities using graphing.

 Linear Programming
 Systems of Linear Inequalities (Slope-intercept form)

A1.1.3.2.2: Interpret solutions to problems in the context of the problem situation.

 Linear Programming

A1.2: Linear Functions and Data Organizations

A1.2.1: Functions

A1.2.1.1: Analyze and/or use patterns or relations.

A1.2.1.1.2: Determine whether a relation is a function, given a set of points or a graph.

 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

A1.2.1.1.3: Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).

 Introduction to Functions

A1.2.1.2: Interpret and/or use linear functions and their equations, graphs, or tables.

A1.2.1.2.1: Create, interpret, and/or use the equation, graph, or table of a linear function.

 Absolute Value with Linear 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)
 Linear Functions
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Solving Equations by Graphing Each Side
 Standard Form of a Line

A1.2.1.2.2: Translate from one representation of a linear function to another (i.e., graph, table, and equation).

 Arithmetic Sequences
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Geometric Sequences
 Linear Functions
 Points, Lines, and Equations
 Slope-Intercept Form of a Line

A1.2.2: Coordinate Geometry

A1.2.2.1: Describe, compute, and/or use the rate of change (slope) of a line.

A1.2.2.1.1: Identify, describe, and/or use constant rates of change.

 Compound Interest
 Dilations
 Direct and Inverse Variation

A1.2.2.1.2: Apply the concept of linear rate of change (slope) to solve problems.

 Cat and Mouse (Modeling with Linear Systems)
 Point-Slope Form of a Line
 Slope

A1.2.2.1.3: Write or identify a linear equation when given

A1.2.2.1.3.a: the graph of the line,

 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Point-Slope Form of a Line
 Slope-Intercept Form of a Line
 Standard Form of a Line

A1.2.2.1.3.b: two points on the line, or

 Linear Functions
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Solving Equations by Graphing Each Side
 Standard Form of a Line

A1.2.2.1.3.c: the slope and a point on the line.

 Cat and Mouse (Modeling with Linear Systems)
 Function Machines 2 (Functions, Tables, and Graphs)
 Point-Slope Form of a Line
 Slope-Intercept Form of a Line
 Solving Equations by Graphing Each Side
 Standard Form of a Line

A1.2.2.1.4: Determine the slope and/or y-intercept represented by a linear equation or graph.

 Cat and Mouse (Modeling with Linear Systems)
 Linear Functions
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Solving Equations by Graphing Each Side
 Standard Form of a Line

A1.2.2.2: Analyze and/or interpret data on a scatter plot.

A1.2.2.2.1: Draw, identify, find, and/or write an equation for a line of best fit for a scatter plot.

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines

A1.2.3: Data Analysis

A1.2.3.1: Use measures of dispersion to describe a set of data.

A1.2.3.1.1: Calculate and/or interpret the range, quartiles, and interquartile range of data.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Reaction Time 1 (Graphs and Statistics)
 Stem-and-Leaf Plots

A1.2.3.2: Use data displays in problem-solving settings and/or to make predictions.

A1.2.3.2.1: Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.

 Correlation

A1.2.3.2.2: Analyze data, make predictions, and/or answer questions based on displayed data (box-and-whisker plots, stem-and-leaf plots, scatter plots, measures of central tendency, or other representations).

 Box-and-Whisker Plots
 Correlation
 Describing Data Using Statistics
 Least-Squares Best Fit Lines
 Mean, Median, and Mode
 Polling: City
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

A1.2.3.2.3: Make predictions using the equations or graphs of best-fit lines of scatter plots.

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines

A1.2.3.3: Apply probability to practical situations.

A1.2.3.3.1: Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal, or percent.

 Independent and Dependent Events
 Theoretical and Experimental Probability

Correlation last revised: 1/20/2017

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