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The Baltimore County Public Schools Geometry program is designed so that each student has access to rigorous instruction, uses problem solving to examine the world around them, and engages in the habits of mind of proficient mathematical thinkers.
In Geometry instructional time should focus on three critical areas: (1) generating conjectures and observations leading to formal proofs focused on transformation-based definitions of congruence and similarity for triangles, quadrilaterals, circles, and other figures, applying these ideas to study right triangle trigonometry and surface area and volume; (2) connecting ideas from algebra and geometry through the coordinate plane, using transformations to build equations of circles, parabolas, parallel and perpendicular lines, and linking transformations to the concept of functions; (3) analyzing the relationship between segments and angles in circles, developing the concept of radian measure for angles; and (4) extending learning about probability to consider combined events.
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Proficient Mathematical Thinkers
- Make sense of problems and persevere in solving them.
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Reason abstractly and quantitatively.
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Construct viable arguments and critique the reasoning of others.
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Model with mathematics.
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Use appropriate tools strategically.
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Attend to precision.
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Look for and make use of structure.
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Look for and express regularity in repeated reasoning.
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