Integrated Math II · Week 3 · Extending the Number System
Rational or Not?
Students argue whether sums and products are rational, practicing evidence over gut feeling.
- Students will
- Students decide whether sums and products of rational and irrational numbers are rational or irrational and justify with evidence.
- SEL skill
- Separate a gut feeling from evidence before deciding if a sum or product is rational
- What it looks like
- Students use emotions as information while separating gut feeling from evidence.
- Content focus
- Sums and products of rational and irrational numbers
- Format
- Collaborative analysis
Responsible decision-making
Responsible decision-making means making caring, constructive choices by thinking about ethics, safety, and consequences. 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
- N-RN.3: High School Number and Quantity: The Real Number System, standard 3
- 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 I
Fits these textbook chapters
- CCSS Integrated Pathway Mathematics II, Unit 1: Extending the Number System
- Savvas enVision Integrated Mathematics II, Topic 1: Exponents and Roots
- Savvas enVision Integrated Mathematics II, Topic 5: Quadratic Equations and Complex Numbers
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 II
- The Quadratic Formula Responsible decision-makingChoosing the best solving method and explaining the decision.
- Comparing Growth Responsible decision-makingExponential eventually beats linear; comparing two savings plans.
- Conditional Thinking Responsible decision-makingGiven that changes probability; how context changes the meaning of a claim.
- Fair Games Responsible decision-makingStudents design games and test whether they are fair.
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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.