1: Simplify numerical expressions using properties of real numbers and order of operations, including those involving square roots, radical form, or decimal approximations.

1.1: Applying laws of exponents to simplify expressions, including those containing zero and negative integral exponents

Dividing Exponential Expressions
Exponents and Power Rules

2: Analyze linear functions from their equations, slopes, and intercepts.

2.1: Finding the slope of a line from its equation or by applying the slope formula

Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line

2.2: Determining the equations of linear functions given two points, a point and the slope, tables of values, graphs, or ordered pairs

Function Machines 2 (Functions, Tables, and Graphs)
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

2.3: Graphing two-variable linear equations and inequalities on the Cartesian plane

Defining a Line with Two Points
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Standard Form of a Line
Systems of Linear Inequalities (Slope-intercept form) - Activity A

3: Determine characteristics of a relation, including its domain, range, and whether it is a function, when given graphs, tables of values, mappings, or sets of ordered pairs.

3.1: Finding the range of a function when given its domain

Functions Involving Square Roots

4: Represent graphically common relations, including x = constant, y = constant, y = x, y = square root of x , y = x² , and y = |x|.

4.1: Identifying situations that are modeled by common relations, including x = constant, y = constant, y = x, y = square root of x , y = x², and y = |x|

Function Machines 2 (Functions, Tables, and Graphs)
Functions Involving Square Roots
Linear Functions
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Radical Functions
Roots of a Quadratic

5: Perform operations of addition, subtraction, and multiplication on polynomial expressions.

5.1: Dividing by a monomial

Dividing Polynomials Using Synthetic Division

6: Factor binomials, trinomials, and other polynomials using GCF, difference of squares, perfect square trinomials, and grouping.

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

7: Solve multistep equations and inequalities including linear, radical, absolute value, and literal equations.

7.1: Writing the solution of an equation or inequality in set notation

Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

7.2: Graphing the solution of an equation or inequality

Defining a Line with Two Points
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Systems of Linear Inequalities (Slope-intercept form) - Activity A

7.3: Modeling real-world problems by developing and solving equations and inequalities, including those involving direct and inverse variation

Determining a Spring Constant
Direct Variation
Direct and Inverse Variation
Modeling and Solving Two-Step Equations
Road Trip (Problem Solving)
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations

8: Solve systems of linear equations and inequalities in two variables graphically or algebraically.

8.1: Modeling real-world problems by developing and solving systems of linear equations and inequalities

Modeling Linear Systems - Activity A
Road Trip (Problem Solving)
Special Types of Solutions to Linear Systems
Systems of Linear Inequalities (Slope-intercept form) - Activity A

9: Solve quadratic equations using the zero product property.

9.1: Approximating solutions graphically and numerically

Parabolas - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic

10: Calculate length, midpoint, and slope of a line segment when given coordinates of its endpoints on the Cartesian plane.

10.1: Deriving the distance, midpoint, and slope formulas

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
Slope - Activity B

14: Use a scatterplot and its line of best fit or a specific line graph to determine the relationship existing between two sets of data, including positive, negative, or no relationship.

Correlation
Lines of Best Fit Using Least Squares - Activity A
Solving Using Trend Lines

15: Estimate probabilities given data in lists or graphs.

15.1: Comparing theoretical and experimental probabilities

Geometric Probability - Activity A
Polling: City
Probability Simulations
Theoretical and Experimental Probability