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Learners will construct simple curves on graph paper by connecting a series of points between the vertical and horizontal axes. They share their designs and explain the patterns.
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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
Triangle Congruency Proofs (part 2)
Looking to challenge your young scholars that have mastered basic triangle congruence proofs? A collection of proofs employ previously learned definitions, theorems, and properties. Pupils draw on their past experiences with proofs to...
9th - 10th Math CCSS: Designed
Flippin' Proofs Parallel Lines Project
Learners will "flip" for this creative way to practice writing and explaining two-column proofs about parallel lines. As they create their masterpiece, young geometers are led to consider overall proof characteristics as well as...
10th - 12th Math CCSS: Adaptable
Proofs into Practice: The Pythagorean Theorem in the Real World
As an introduction to the instructional activity, 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...
8th - 12th Math CCSS: Designed
Proof Without Words: Completing the Square
Completing the square is not just an algebraic manipulation. The interactive contains a geometric proof of the concept of completing the square in algebra. The proof uses the area model of multiplication to build a square from the terms...
9th - 12th Math CCSS: Adaptable
Proof of the Pythagorean Theorem Using Transformations
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
9th - 12th Math CCSS: Designed