Integrated Math III · Week 13 · Polynomial, Rational, and Radical Relationships
Extraneous Solutions
Checking solutions honestly; some answers only look right.
- Students will
- Students solve radical equations by squaring both sides and check every answer to find extraneous solutions.
- SEL skill
- Check an answer honestly before trusting it and report what the check shows
- What it looks like
- Students make honest decisions by checking their own work before trusting an answer.
- Content focus
- Checking solutions to radical equations
- Format
- Partner exchange
Responsible decision-making
Responsible decision-making means choosing carefully and honestly, thinking about what is true and what could go wrong. 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-REI.2: High School Algebra: Reasoning with Equations and Inequalities, standard 2
- 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 2B: Rational and Radical Relationships
- Carnegie Learning Integrated Math III, Module 2: Developing Structural Similarities
- CPM Core Connections Integrated III, Chapter 3: Solving and Inequalities
- CPM Core Connections Integrated III, Chapter 11: Rational Expressions and Systems
- Savvas enVision Integrated Mathematics III, Topic 3: Rational Functions
- Savvas enVision Integrated Mathematics III, Topic 4: Rational Exponents and Radical 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.
- Polynomial Identities Responsible decision-makingProving identities and finding patterns in Pythagorean triples.
Previous: Rational Expressions · Next: Rates Working Together
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.