State Frameworks

TA.1.b: Simplify and evaluate expressions using order of operations and use real number properties to justify solutions.

Exponents and Power Rules

Order of Operations

TA.1.d: Apply the concept of Greatest Common Factor (GCF) and Least Common Multiple (LCM) to monomials with variables.

Dividing Exponential Expressions

Multiplying Exponential Expressions

TA.2.a: Given a literal equation, solve for a specified variable of degree one.

Solving Formulas for any Variable

TA.2.b: Explain and illustrate how changes in one variable may result in a change in another variable.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Using Algebraic Equations

TA.2.c: Solve and check multi-step equations and inequalities, including distributive property, variables on both sides, and rational coefficients.

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

TA.2.d: Use real-world data to express slope as a rate of change.

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Modeling Linear Systems - Activity A

Slope - Activity B

TA.2.e: Graph solutions to linear inequalities.

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Linear Programming - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Systems of Linear Inequalities (Slope-intercept form) - Activity A

TA.2.f: Write linear equations given slope and y-intercept or two points.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Points in the Coordinate Plane - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

TA.2.g: Identify domain, range, slope, and intercepts of functions.

Functions Involving Square Roots

Introduction to Functions

Slope - Activity B

TA.2.h: Develop generalizations to characterize the behaviors of graphs (linear, quadratic, and absolute value).

Linear Functions

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

TA.2.i: Classify and determine degree of a polynomial and arrange polynomials in ascending or descending order of a variable.

Polynomials and Linear Factors

Using Algebraic Equations

TA.2.j: Apply ratios and use proportional reasoning to solve real-world algebraic problems.

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

TA.2.k: Add, subtract, multiply, and divide polynomial expressions.

Addition of Polynomials - Activity A

Dividing Polynomials Using Synthetic Division

TA.2.l: Analyze the relationship between x and y values, and determine whether a relation is a function.

Introduction to Functions

Linear Functions

TA.3.a: Apply the Pythagorean Theorem to solve problems.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

TA.3.b: Apply proportional reasoning to determine similar figures and find unknown measures.

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

TA.4.a: Solve real-world problems involving measurements (i.e., circumference, perimeter, area, volume, distance, temperature, etc.).

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

TA.4.b: Explain and apply the appropriate formula to determine length, midpoint, and slope of a segment in a coordinate plane (i.e., distance formula, Pythagorean Theorem).

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Slope - Activity B

TA.5.a: Construct graphs, make predictions, and draw conclusions from tables, line graphs, and scatter plots.

Box-and-Whisker Plots

Correlation

Scatter Plots - Activity A

TA.5.b: Use a given mean, mode, median, and range to summarize and compare data sets including investigation of the different effects that change in data have on these measures of central tendency, and select the appropriate measures of central tendency for a given purpose.

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

Populations and Samples

TA.5.c: Calculate basic probability of experiments and simulations to make and test conjectures about results.

Geometric Probability - Activity A

Probability Simulations

Correlation last revised: 3/26/2010