Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Number: MAFS.912.A-APR.3
Title: Use polynomial identities to solve problems. (Algebra 2 - Additional Cluster)
Type:
Cluster
Subject: Mathematics - Archived
Grade: 912
Domain-Subdomain: Algebra: Arithmetic with Polynomials & Rational Expressions
Related Standards
This cluster includes the following benchmarks
| Code |
Description |
| MAFS.912.A-APR.3.4: | 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. |
| MAFS.912.A-APR.3.5: | Know and apply the Binomial Theorem for the expansion of (x in powers of x and y for a positive integer n, where x and y are
any numbers, with coefficients determined for example by pascal’s
triangle. |
Related Access Points
This cluster includes the following access points.
Access Points
Related Resources
Vetted resources educators can use to teach the concepts and skills in this topic.
Original Student Tutorial
Lesson Plan
Problem-Solving Task
| Name |
Description |
| Trina's Triangles: | In this task students investigate and ultimately prove the validity of the method of generating Pythagorean Triples that involves the polynomial identity (x2+y2)2=(x2-y2)2+(2xy)2. |
Tutorials
| Name |
Description |
| Binomial Theorem: | This video tutorial gives an introduction to the binomial theorem and explains how to use this theorem to expand binomial expressions. |
| Pascal's Triangle for Binomial Expansion: | This tutorial shows students how to use Pascal's triangle for binomial expansion. |
Student Resources
Vetted resources students can use to learn the concepts and skills in this topic.
Original Student Tutorial
Problem-Solving Task
| Title |
Description |
| Trina's Triangles: | In this task students investigate and ultimately prove the validity of the method of generating Pythagorean Triples that involves the polynomial identity (x2+y2)2=(x2-y2)2+(2xy)2. |
Tutorials
| Title |
Description |
| Binomial Theorem: | This video tutorial gives an introduction to the binomial theorem and explains how to use this theorem to expand binomial expressions. |
| Pascal's Triangle for Binomial Expansion: | This tutorial shows students how to use Pascal's triangle for binomial expansion. |
Parent Resources
Vetted resources caregivers can use to help students learn the concepts and skills in this topic.
Problem-Solving Task
| Title |
Description |
| Trina's Triangles: | In this task students investigate and ultimately prove the validity of the method of generating Pythagorean Triples that involves the polynomial identity (x2+y2)2=(x2-y2)2+(2xy)2. |
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