Students explore the nature of mathematical proofs and mathematical inquiry. They complete the activity "Using the Pythagorean Theorem". They read selected articles and participate in class discussions.
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Congruence, Proof, and Constructions
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs. Each of the almost-forty lessons is broken...
8th - 10th Math CCSS: Designed
Accelerated Geometry Review Sheet
Your geometry learners use their knowledge of various geometric concepts to write proofs. Starting with givens containing parallel line segments with transversals and triangles and quadrilaterals, and the mid-point and distance formulas;...
8th - 10th Math CCSS: Adaptable
Justifying a Proof of the AA Similarity Theorem
Why are two triangles with congruent angles similar? Class members provide the justifications or explanations of the steps of a proof of the AA Similarity Theorem. The proof uses transformations as a basis to proving the theorem.
9th - 12th Math CCSS: Designed
Proofs into Practice: The Pythagorean Theorem in the Real World
As an introduction to the lesson, learners verify the Pythagorean theorem with a hands-on proof. Then, pupils use the theorem to determine whether three side lengths could form a right triangle and choose one of two real-life situations...
8th - 12th Math CCSS: Designed