Students complete simple algebraic proofs to prepare them for more challenging geometric proofs. Class begins with a demonstration by the teacher, then students work out their own problems and share results with the class.
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Algebraic Expressions—The Commutative and Associative Properties
Who says math is boring? Turn dry concepts like properties and vocabulary into an interesting lesson! Examine the commutative and associative properties of addition and multiplication using geometric reinforcement. Through collaboration,...
9th - 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
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
8th - 10th Math CCSS: Designed
New Review Pythagorean Theorem Proof
No geometry class is complete without a proof. A short video in the Socratica Geometry playlist covers an algebraic proof of the Pythagorean Theorem. Simplifying an equation with two equivalent expressions for the area of a square leads...
4 mins 7th - 10th Math CCSS: Adaptable
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
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