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## Triangles from Three Points

Using technology to solve triangle construction problems, students apply their knowledge of points of concurrency, coordinate geometry, and transformational geometry.

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## The Circle Approach to Trigonometry

A connected introduction of angle measure and the sine function entails quantitative reasoning.

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## Developing the Area of a Trapezoid

When calculating the area of a trapezoid, students use a range of problem-solving strategies and measurement concepts.

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## Using KenKen to Build Reasoning Skills

Through KenKen puzzles, students can explore parity, counting, subsets, and various problem-solving strategies.

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## Reinforcing Geometric Properties with Shapedoku Puzzles

Shapedoku puzzles combine logic and spatial reasoning with an understanding of basic geometric concepts.

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## Improving Student Reasoning in Geometry

Parallel geometry tasks with four levels of complexity involve students in writing and understanding proof.

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## Geometric Reasoning about a Circle Problem

An open-ended problem about a circle illustrates how problem-based instruction can enable students to develop reasoning and sense-making skills.

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## Thinking Like a Mathematician

The moves that mathematicians use to generate new questions can also be used by teachers and students to tie content together and spur exploration.

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## Dragging and Making Sense of Invariants in Dynamic Geometry

In this activity, students learn to make conjectures about properties that do not change.

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## Multiple Proof Approaches & Mathematical Connections

Using technology to explore the Three Altitudes of a Triangle problem, students devise many proofs for their conjectures.