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).

A1.1.1.1.2: 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

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

A1.1.1.4.1: Use estimation to solve problems.

 Estimating Population Size

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
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Two-Step Equations
 Standard Form of a Line

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

A1.2: 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
 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
 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,

 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
 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)
 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: 4/4/2018

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