Calculus · Week 3 · Limits and Continuity

Limits with Algebra

Choosing substitution, factoring, or rationalizing to find limits, with kind and specific partner feedback.

Relationship skillsGrades 11 to 12About 20 minutesAP Calculus AB

Open this activity All Calculus activities

Students will: Students find limits algebraically by substituting first, then factoring or rationalizing when they get 0/0.
SEL skill: Give kind, specific feedback on one step of a partner's limit work
What it looks like: Students practice relationship skills by giving a partner specific, kind feedback on one algebra step.
Content focus: Finding limits with substitution, factoring, and rationalizing
Format: Partner exchange

Relationship skills

Relationship skills mean working well with others, including giving feedback on a partner's algebra that is kind, specific, and useful. More relationship skills 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

AB 1.5: AP Calculus AB, Unit 1, Topic 1.5
AB 1.6: AP Calculus AB, Unit 1, Topic 1.6
AB 1.7: AP Calculus AB, Unit 1, Topic 1.7
Standard for Mathematical Practice: MP3 Construct viable arguments and critique the reasoning of others
CA Mathematics Framework (2023): Exploring Changing Quantities
Traditional course: Calculus

More relationship skills activities for Calculus

Product and Quotient Rules Relationship skillsProduct and quotient rules in a group with clear roles and kind, specific feedback.
Related Rates Relationship skillsLinking rates of change through 1 equation, as a team.
Connecting f, f', and f'' Graphs Relationship skillsReading a graph of f' to tell what f and f'' are doing, and talking through disagreements kindly.
u-Substitution Relationship skillsu-substitution as a team, where each role speaks up clearly and passes the work on.

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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. AP and Advanced Placement are trademarks of the College Board, which was not involved in making and does not endorse RoseThread Connect.