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Using Theoretical and Experimental Probability to Make Predictions

Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.

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Using Multiplication by a Constant Factor

Given problems involving proportional relationships, the student will use multiplication by a constant factor to solve the problems.

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Generating Different Representations of Relationships

Given problems that include data, the student will generate different representations, such as a table, graph, equation, or verbal description.

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Predicting, Finding, and Justifying Data from a Table

Given data in table form, the student will use the data table to interpret solutions to problems.

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Predicting, Finding, and Justifying Data from a Graph

Given data in the form of a graph, the student will use the graph to interpret solutions to problems.

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Determining Slopes from Equations, Graphs, and Tables

Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations.

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Predicting, Finding, and Justifying Data from Verbal Descriptions

Given data in a verbal description, the student will use equations and tables to solve and interpret solutions to problems.

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Introducing Conic Sections

Given a verbal description or a pictorial representation, the student will describe a conic section as the intersection of a cone and a plane.

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Graphing Conic Sections: Ellipses

Given an equation, the student will use parameter changes to graph an ellipse and to identify the changes in the graph of an ellipse.

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Graphing Conic Sections: Hyperbolas

Given an equation, the student will use parameter changes to graph a hyperbola and to identify the changes in the graph of a hyperbola.

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Approximating the Value of Irrational Numbers

Given problem situations that include pictorial representations of irrational numbers, the student will find the approximate value of the irrational numbers.

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Expressing Numbers in Scientific Notation

Given problem situations, the student will express numbers in scientific notation.

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Using Logical Reasoning to Prove Conjectures about Circles

Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

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Creating Nets for Three-Dimensional Figures

Given nets for three-dimensional figures, the student will apply the formulas for the total and lateral surface area of three-dimensional figures to solve problems using appropriate units of measure.

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Drawing Conclusions about Three-Dimensional Figures from Nets

Given a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.

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Generalizing Geometric Properties of Ratios in Similar Figures

Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding angles.

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Determining Area: Sectors of Circles

Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.

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Converting Between Measurement Systems

Given a real-world situation with measurements in either metric/SI or customary units, the student will solve a problem requiring them to convert from one system to the other.

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Making Conjectures About Circles and Segments

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.

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Determining Area: Regular Polygons and Circles

The student will apply the formula for the area of regular polygons to solve problems.