Integrated Math III · Week 11 · Polynomial, Rational, and Radical Relationships
Polynomial Identities
Proving identities and finding patterns in Pythagorean triples.
- Students will
- Students verify a polynomial identity and use it to generate Pythagorean triples that they check.
- SEL skill
- Turn curiosity about a pattern into a check that proves it
- What it looks like
- Students use emotions to think by turning curiosity about a pattern into a proof.
- Content focus
- Polynomial identities and Pythagorean triples
- Format
- Collaborative analysis
Responsible decision-making
Responsible decision-making means making caring, constructive choices by thinking about ethics, safety, and the consequences for yourself and others. More responsible decision-making activities
What you get
A teacher guide with what to say, step by step, plus student pages and a supports page for students with diverse learning needs, including those with IEPs. Print or Project it, or assign it in Google Forms and Google Docs for Google Classroom. Your first 10 activities are free.
Standards
- A-APR.4: High School Algebra: Arithmetic with Polynomials and Rational Expressions, standard 4
- Standard for Mathematical Practice: MP3 Construct viable arguments and critique the reasoning of others
- CA Mathematics Framework (2023): Taking Wholes Apart, Putting Parts Together
- Traditional course: Algebra II
Fits these textbook chapters
- CCSS Integrated Pathway Mathematics III, Unit 2A: Polynomial Relationships
- Carnegie Learning Integrated Math III, Module 1: Analyzing Structure
- CPM Core Connections Integrated III, Chapter 8: Polynomials
- Savvas enVision Integrated Mathematics III, Topic 2: Polynomial Functions
Textbook names are used only to help you find activities that fit what you teach. RoseThread Connect is not affiliated with these publishers.
More responsible decision-making activities for Integrated Math III
- Is It Real or Random? Responsible decision-makingSimulation to test whether a result could be chance.
- Margin of Error Responsible decision-makingReading polls honestly, including uncertainty.
- Evaluating Reports Responsible decision-makingJudging data based claims in news and social media.
- Extraneous Solutions Responsible decision-makingChecking solutions honestly; some answers only look right.
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RoseThread Connect activities are drafted with the help of AI and shaped by educators. Students never have to share anything personal. Our five SEL skills are informed by CASEL's SEL Framework; RoseThread Learning is not affiliated with or endorsed by CASEL.