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