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Algebraic Proofs (B) 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 (B) WORKSHEET DESCRIPTION

This worksheet builds on the work done in Algebraic Proofs (A) 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 that the difference between the squares of any two consecutivenumbers is always an odd number" and "prove that the sum of three consecutive numbers is always a multiple of 3". More algebraic proof questions can be found in Algebraic Proofs (C).

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

This worksheet is designed for students in Algebra II and Geometry classes. At these levels, students have developed the algebraic manipulation skills needed to work with expressions involving consecutive numbers, squares, and differences. The proofs require a solid foundation in algebraic thinking that students typically gain in these courses.

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