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- HSA-APR.C.4Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x<sup>2</sup> + y<sup>2</sup>)<sup>2</sup> = (x<sup>2</sup> - y<sup>2</sup>)<sup>2</sup> + (2xy)<sup>2</sup> can be used to generate Pythagorean triples.
- HSA-APR.C.5(+) Know and apply the Binomial Theorem for the expansion of (x + y)<sup>n</sup> in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascalâs Triangle.

Two for One

Algebra II

Â» Unit:

Algebraic Arithmetic

Big Idea:Pascal's triangle is fun and easy to recreate. Now let your students learn a new application that makes algebra easier!

The Binomial Theorem

Algebra II

Â» Unit:

Sequences and Series

Big Idea:Pascal and Binomial Expansion - Connections Revealed!

Using Sequences and Series to Make Connections

Algebra II

Â» Unit:

Sequences and Series

Big Idea:There is something for all types of learners in this lesson!

Binomial Expansion

12th Grade Math

Â» Unit:

Sequences and Series

Big Idea:Expanding a binomial raised to a power is a different type of series with a definite pattern.

Leftovers?

Algebra II

Â» Unit:

Algebraic Arithmetic

Big Idea:Remainders, like leftovers, tell us a lot about the original "meal". Use the Remainder Theorem to identify factors of a polynomial function.

Unit Review Game: Pictionary

12th Grade Math

Â» Unit:

Sequences and Series

Big Idea:Pictionary review game will help students review for our exam!

Sort It Out (Unit Review)

Algebra II

Â» Unit:

Algebraic Arithmetic

Big Idea:Notes and understanding both in a jumble? These activities will help sort out algebraic operations and identities.

Differentiated Days: Finishing Up The Semester or Extending Your Work

12th Grade Math

Â» Unit:

Statistics: Using Probability to Make Decisions

Big Idea:I love teaching the binomial distribution - but what happens if there's no time for that?

Unit Review: Sequences and Series

12th Grade Math

Â» Unit:

Sequences and Series

Big Idea:Students will self-assess their knowledge of the topics in this unit.

Team Testing!

Algebra II

Â» Unit:

Algebraic Arithmetic

Big Idea:Teamwork Testing?! If you've never tried it, this lesson might help you see the value for your students.

Unit Assessment: Sequences and Series

12th Grade Math

Â» Unit:

Sequences and Series

Big Idea:Assess your students' understanding of this unit.

Review Day Two

Algebra II

Â» Unit:

Semester 1 Review

Big Idea:Set yourself up for success by careful review and reflection before that big exam!

HSA-APR.C.4

Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x<sup>2</sup> + y<sup>2</sup>)<sup>2</sup> = (x<sup>2</sup> - y<sup>2</sup>)<sup>2</sup> + (2xy)<sup>2</sup> can be used to generate Pythagorean triples.

HSA-APR.C.5

(+) Know and apply the Binomial Theorem for the expansion of (x + y)<sup>n</sup> in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascalâs Triangle.