Using Logical Reasoning to Prove Conjectures about Circles
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Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.
Generalizing Geometric Properties of Ratios in Similar Figures
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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.
Determining Area: Sectors of Circles
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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.
Making Conjectures About Circles and Segments
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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.
Determining Area: Regular Polygons and Circles
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The student will apply the formula for the area of regular polygons to solve problems.
Making Conjectures About Circles and Angles
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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 of and relationships among the resulting angles.