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Algebraic Proofs (C) WORKSHEET

Suitable for Grades: Geometry, Algebra II

CCSS: HSA.APR.C.4

CCSS Description: Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x² + y²)² = (x² – y²)² + (2xy)² can be used to generate Pythagorean triples.

Algebraic Proofs (C) WORKSHEET DESCRIPTION

This worksheet builds on the work done in Algebraic Proofs (B) by using the basic concepts of writing expressions for even numbers, odd numbers, consecutive numbers, etc, and asking for more complicated sums, differences, and squares to prove statements such as "Prove algebraically the difference between the squares of any two consecutive even numbers is always a multiple of 4" and proving a ratio using Pythagoras' Theorem.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Algebraic Proofs Worksheet suitable for students learning Algebra II

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Frequently Asked Questions

Algebraic Proofs (C) takes the foundational skills you've learned and applies them to much more sophisticated problems. Instead of simple proofs, you'll tackle complex scenarios involving squares of expressions, intricate differences, and even geometric applications. The problems require deeper algebraic manipulation and more advanced reasoning skills.

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