Parallel Lines Project
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Programs & methods
Euler's Method, Tangent Lines Notes
These notes cover writing tangent lines and using Euler's method to get better estimations for solutions to differential equations. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture and
9th - 12th, Higher Education
Calculus
Connecting Derivatives, Riemann/Trapezoidal Sums, and Tangent Lines
Students will match/sort cards depending on what connections can be made between first and second derivatives, left, right, and trapezoidal sums, and whether a tangent line would be an over or underestimate of a curve.
9th - 12th, Higher Education
Calculus
Differential Calculus Quick Study Guide
Quick study guide for Differential Calculus. Includes formulas for derivatives, definitions of theorems, and hints for curve sketching, related rates, tangent lines, linearization, optimization, implicit differentiation, derivative of an inverse, error approximation, and velocity/acceleration.
10th - 12th, Adult Education, Higher Education
Calculus
Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
These notes cover introductions to the following topics: Derivative (basic trig and power rule)Motion (graphically and analytically)Slope FieldsTangent Lines and Euler's MethodAntiderivates/Indefinite IntegralsAntiderivatives and Initial ConditionsThese note sheets are formatted to be on 1/2 sheets of paper. They are intended to be handed out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use them as part of their in
9th - 12th, Higher Education
Calculus, PreCalculus
Instantaneous Rate of Change | Answer Key
This worksheet focuses on estimating and calculating the instantaneous rate of change of functions at specific points. Students practice finding slopes of tangent lines using limits, difference quotients, and interpreting graphs or tables to approximate instantaneous rates. Problems include polynomial and quadratic functions. Ideal for deepening understanding of derivatives and preparing for calculus concepts.
9th - 12th, Higher Education
Calculus, PreCalculus
Absolute Extrema Exploration handout and answer key
This resource allows Calculus students to explore the ideas that underly the Extreme Value Theorem before the words "Extreme Value Theorem" are ever mentioned, building on foundations of precalculus, continuity, and horizontal tangent lines. Students will see multiple instances of functions that do not have absolute extrema, for various reasons. Then they are prompted to consider the "bare minimum" requirements for a function to be guaranteed absolute maximum and absolute minimum values. Next, t
11th - 12th, Higher Education
Calculus
Visualizing Calculus: A Visual Reference for Students and Teachers
Bring core calculus concepts to life with this classroom-ready visual resource. Designed by a PhD in mathematics with years of teaching experience, this packet uses clear diagrams and targeted prompts to build conceptual understanding from the ground up. Whether you’re teaching AP Calculus or Calculus I, these visuals help students see the math behind the rules. ✅ What’s Included7 core concepts visualized (25+ pages total)Teacher copies with labeled diagrams and instructional notesStudent copi
11th - 12th, Higher Education
Calculus
Calculus Challenges and Excursions
Accessibility to the Internet has had a significant impact on the way many of teach calculus as well as the way many of our students learn calculus. As teachers we can easily research information about current mathematics investigations or studies regarding mathematical learning outcomes for our students. Likewise, our students can view videos of a variety of calculus concepts by prominent teachers or they can examine specific areas of mathematics to accommodate their individualistic learning st
10th - 12th, Higher Education
Calculus
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