Academic Standards

II.A.1: Represent and compare rational and irrational numbers symbolically and on a number line.

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

II.B.3: Recognize the impact of units such as degrees and radians on calculations.

II.B.6: Understand that use of a calculator requires appropriate mathematical reasoning and does not replace the need for mental computation.

Biconditional Statement

Conditional Statement

III.A.1: Know the numeric, graphic and symbolic properties of linear, step, absolute value and quadratic functions. Graphic properties may include rates of change, intercepts, maxima and minima.

Linear Functions

Point-Slope Form of a Line - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity A

III.A.2: Model exponential growth and decay, numerically, graphically and symbolically, using exponential functions with integer inputs.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Half-life

Simple and Compound Interest

III.A.3: Analyze the effects of coefficient changes on linear and quadratic functions and their graphs.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Linear Functions

Point-Slope Form of a Line - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity A

III.A.5: Distinguish functions from other relations using graphic and symbolic methods.

Introduction to Functions

Linear Functions

III.B.2: Understand the relationship between absolute value and distance on the number line and graph simple expressions involving absolute value such as, |x - 3| = 6 or |x + 2| < 5.

Defining a Line with Two Points

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Linear Programming - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

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

III.B.3: Find equations of a line given two points on the line, a point and the slope of the line or the slope and the y-intercept of the line.

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

III.B.4: Translate among equivalent forms of linear equations and inequalities.

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

III.B.5: Use a variety of models such as equations, inequalities, algebraic formulas, written statements, tables and graphs or spreadsheets to represent functions and patterns in real-world and mathematical problems.

Exponential Functions - Activity A

Introduction to Functions

Linear Functions

Logarithmic Functions: Translating and Scaling

III.B.6: Apply the laws of exponents to perform operations on expressions with integer exponents.

Dividing Exponential Expressions

Exponents and Power Rules

III.B.7: Solve linear equations and inequalities in one variable with numeric, graphic and symbolic methods.

Inequalities Involving Absolute Values

Linear Programming - Activity A

Modeling One-Step Equations - Activity A

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

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

III.B.8: Find real solutions to quadratic equations in one variable with numeric, graphic and symbolic methods.

III.B.11: Solve systems of two linear equations and inequalities with two variables using numeric, graphic and symbolic methods.

Linear Programming - Activity A

Modeling Linear Systems - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Special Types of Solutions to Linear Systems

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

III.B.12: Understand how slopes can be used to determine whether lines are parallel or perpendicular. Given a line and a point not on the line, find the equations for the lines passing through that point and parallel or perpendicular to the given line.

Point-Slope Form of a Line - Activity A

Slope - Activity B

IV.A.1: Construct and analyze circle graphs, bar graphs, histograms, box-and-whisker plots, scatter plots and tables, and demonstrate the strengths and weaknesses of each format by choosing appropriately among them for a given situation.

Box-and-Whisker Plots

Correlation

Histograms

Populations and Samples

Scatter Plots - Activity A

Solving Using Trend Lines

IV.A.2: Use measures of central tendency and variability, such as, mean, median, maximum, minimum, range, standard deviation, quartile and percentile, to describe, compare and draw conclusions about sets of data.

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

IV.A.3: Determine an approximate best-fit line from a given scatter plot and use the line to draw conclusions.

Correlation

Lines of Best Fit Using Least Squares - Activity A

Solving Using Trend Lines

IV.A.5: Understand the relationship between correlation and causation.

Correlation

Solving Using Trend Lines

IV.B.1: Select and apply appropriate counting procedures to solve real-world and mathematical problems, including probability problems.

IV.B.2: Use area, trees, unions and intersections to calculate probabilities and relate the results to mutual exclusiveness, independence and conditional probabilities, in real-world and mathematical problems.

Binomial Probabilities

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

Permutations

Permutations and Combinations

IV.B.3: Use probability models, including area and binomial models, in real-world and mathematical problems.

IV.B.5: Know the effect of sample size on experimental and simulation probabilities.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

IV.B.6: Use a variety of experimental, simulation and theoretical methods to calculate probabilities.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

V.A.1: Use models and visualization to understand and represent three-dimensional objects and their cross sections from different perspectives.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

V.B.1: Know and use theorems about triangles and parallel lines in elementary geometry to justify facts about various geometrical figures and solve real-world and mathematical problems. These theorems include criteria for two triangles to be congruent or similar and facts about parallel lines cut by a transversal.

Congruence in Right Triangles

Investigating Angle Theorems - Activity A

Proving Triangles Congruent

V.B.2: Know and use theorems about circles to justify geometrical facts and solve real-world and mathematical problems. These theorems include the relationships involving tangent lines and radii, the relationship between inscribed and central angles and the relationship between the measure of a central angle and arc length.

Chords and Arcs

Inscribing Angles

V.B.3: Know and use properties of two- and three-dimensional figures to solve real-world and mathematical problems such as: finding area, perimeter, volume and surface area; applying direct or indirect methods of measurement; the Pythagorean theorem and its converse; and properties of 45o-45o-90o and 30o-60o-90o triangles.

Classifying Quadrilaterals - Activity B

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Special Quadrilaterals

Surface and Lateral Area of Prisms and Cylinders

Triangle Angle Sum - Activity A

V.B.4: Apply the basic concepts of right triangle trigonometry including sine, cosine and tangent to solve real-world and mathematical problems.

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Ratio

V.B.5: Use coordinate geometry to represent and examine geometric concepts such as the distance between two points, the midpoint of a line segment, the slope of a line and the slopes of parallel and perpendicular lines.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Slope - Activity B

V.B.6: Use numeric, graphic and symbolic representations of transformations such as reflections, translations and change of scale in one, two and three dimensions to solve real-world and mathematical problems.

Dilations

Reflections

Rotations, Reflections and Translations

Translations

V.B.7: Perform basic constructions with a straightedge and compass.

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

Correlation last revised: 10/24/2008

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.