Academic Standards

2.2.11: Computation and Estimation

2.2.11.E: Recognize that the degree of precision needed in calculating a number depends on how the results will be used and the instruments used to generate the measure.

2.3.11: Measurement and Estimation

2.3.11.A: Select and use appropriate units and tools to measure to the degree of accuracy required in particular measurement situations.

2.3.11.B: Measure and compare angles in degrees and radians.

2.3.11.C: Demonstrate the ability to produce measures with specified levels of precision.

2.6.11: Statistics and Data Analysis

2.6.11.A: Design and conduct an experiment using random sampling. Describe the data as an example of a distribution using statistical measures of center and spread. Organize and represent the results with graphs. (Use standard deviation, variance and t-tests.)

Box-and-Whisker Plots

Line Plots

2.6.11.C: Determine the regression equation of best fit (e.g., linear, quadratic, exponential).

Exponential Functions - Activity A

Linear Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

2.6.11.F: Determine the degree of dependence of two quantities specified by a two-way table.

Correlation

Solving Using Trend Lines

2.7.11: Probability and Predictions

2.7.11.A: Compare odds and probability.

Binomial Probabilities

Geometric Probability - Activity A

2.7.11.B: Apply probability and statistics to perform an experiment involving a sample and generalize its results to the entire population.

Geometric Probability - Activity A

Polling: City

Probability Simulations

2.7.11.D: Use experimental and theoretical probability distributions to make judgments about the likelihood of various outcomes in uncertain situations.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

2.7.11.E: Solve problems involving independent simple and compound events.

Compound Independent Events

Compound Independent and Dependent Events

Estimating Population Size

Independent and Dependent Events

2.8.11: Algebra and Functions

2.8.11.A: Analyze a given set of data for the existence of a pattern and represent the pattern algebraically and graphically.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

2.8.11.B: Give examples of patterns that occur in data from other disciplines.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

2.8.11.C: Use patterns, sequences and series to solve routine and non-routine problems.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

2.8.11.D: Formulate expressions, equations, inequalities, systems of equations, systems of inequalities and matrices to model routine and non-routine problem situations.

Linear Programming - Activity A

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

Using Algebraic Equations

2.8.11.E: Use equations to represent curves (e.g., lines, circles, ellipses, parabolas, hyperbolas).

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

Using Algebraic Equations

2.8.11.F: Identify whether systems of equations and inequalities are consistent or inconsistent.

Linear Programming - Activity A

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

2.8.11.G: Analyze and explain systems of equations, systems of inequalities and matrices.

Linear Programming - Activity A

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

2.8.11.H: Select and use an appropriate strategy to solve systems of equations and inequalities using graphing calculators, symbol manipulators, spreadsheets and other software.

Linear Programming - Activity A

Modeling Linear Systems - Activity A

Special Types of Solutions to Linear Systems

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

2.8.11.J: Demonstrate the connection between algebraic equations and inequalities and the geometry of relations in the coordinate plane.

Circles

Defining a Line with Two Points

Ellipse - Activity A

Hyperbola - Activity A

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

Solving Equations By Graphing Each Side

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

2.8.11.K: Select, justify and apply an appropriate technique to graph a linear function in two variables, including slope- intercept, x- and y-intercepts, graphing by transformations and the use of a graphing calculator.

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Translating and Scaling Functions

Using Tables, Rules and Graphs

2.8.11.L: Write the equation of a line when given the graph of the line, two points on the line, or the slope of the line and a point on the line.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

2.8.11.N: Solve linear, quadratic and exponential equations both symbolically and graphically.

Roots of a Quadratic

Solving Equations By Graphing Each Side

2.8.11.O: Determine the domain and range of a relation, given a graph or set of ordered pairs.

Functions Involving Square Roots

Introduction to Functions

2.8.11.P: Analyze a relation to determine whether a direct or inverse variation exists and represent it algebraically and graphically.

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

2.8.11.Q: Represent functional relationships in tables, charts and graphs.

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Introduction to Functions

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Slope-Intercept Form of a Line - Activity A

Tangent Function

Using Algebraic Equations

Using Tables, Rules and Graphs

2.8.11.R: Create and interpret functional models.

Exponential Growth and Decay - Activity B

2.8.11.S: Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic).

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Rational Functions

Sine Function

Tangent Function

2.8.11.T: Analyze and categorize functions by their characteristics.

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Tangent Function

2.9.11: Geometry

2.9.11.A: Construct geometric figures using dynamic geometry tools (e.g., Geometer's Sketchpad, Cabri Geometre).

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

2.9.11.B: Prove that two triangles or two polygons are congruent or similar using algebraic, coordinate and deductive proofs.

Biconditional Statement

Conditional Statement

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

2.9.11.C: Identify and prove the properties of quadrilaterals involving opposite sides and angles, consecutive sides and angles and diagonals using deductive proofs.

Classifying Quadrilaterals - Activity B

Special Quadrilaterals

2.9.11.D: Identify corresponding parts in congruent triangles to solve problems.

Congruence in Right Triangles

Proving Triangles Congruent

2.9.11.F: Use the properties of angles, arcs, chords, tangents and secants to solve problems involving circles.

2.9.11.H: Construct a geometric figure and its image using various transformations.

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

Dilations

Reflections

Rotations, Reflections and Translations

2.9.11.J: Analyze figures in terms of the kinds of symmetries they have.

2.10.11: Trigonometry

2.10.11.A: Use graphing calculators to display periodic and circular functions; describe properties of the graphs.

Cosine Function

Sine Function

Tangent Function

Translating and Scaling Sine and Cosine Functions - Activity A

Unit Circle

2.10.11.B: Identify, create and solve practical problems involving right triangles using the trigonometric functions and the Pythagorean Theorem.

Cosine Function

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

2.11.11: Concepts of Calculus

2.11.11.A: Determine maximum and minimum values of a function over a specified interval.

2.11.11.B: Interpret maximum and minimum values in problem situations.

2.11.11.C: Graph and interpret rates of growth/decay.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

2.11.11.E: Estimate areas under curves using sequences of areas.

Correlation last revised: 11/13/2008

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