Five Free Activities For Teaching Calculus
Calculus is the study of rates of change and of lengths, areas and volumes. Often, students have a hard time grasping the concepts of calculus, and even more, making connections among them. Dynamic visualization is a good tool for helping students to visualize and interact with the mathematics. Being able to manipulate and see changes in relations can help to solidify concepts and relationships among them. These 5 lessons are some of our favorites for helping students to make connections in calculus.
In this activity, your students can quickly learn that for a continuous nonnegative function f, there is one interpretation of the definite integral f(x)dx from a to b, the area of the region R, bounded above by the graph of y = f(x), below by the x-axis, and by the lines x = a and x = b. This is perhaps one of the quickest ways to visualize Riemann sums and students can look at the left hand, right hand, and midpoint Riemann sums easily for many different functions and intervals.
This lesson uses a graphical representation of the Mean Value Theorem (MVT) to demonstrate how the theorem relates information about the average rate of change of a function to an instantaneous rate of change.
The Filling_the_Urn.tns TI-Nspire document provides for a graphical investigation of related rates. The physical context is the filling of an urn with liquid, depicted in a window on the left side of the illustration. The associated graph represents the height of liquid in the urn as a function of the amount of liquid in the urn. The shape of the urn determines the characteristics of this graph.
Students often have a difficult time visualizing the solids of revolution and how the volume and the integral are related. This interactive demonstration can help students make connections between the solid generated by revolving the function graph about the x-axis and disks centered on the x-axis, the radius of which correspond to the value of the function at that point.
The Box_Problem_Calculus.tns document takes a classic problem from calculus and uses the dynamic linking capabilities of TI-Nspire Technology to enact the problem in multiple representations: diagrammatic, graphic, numeric, geometric and symbolic. The problem is posed on the title screen shown at the right.
- January (1)
- Learn to Code with Your TI Graphing Calculator
- Building Bridges with Math + Engineering
- 5 Engineering Projects You Can Do in Your Science Class
- Set your Students up to Soar with “STEM on the Fly”
- Oklahoma Students Make Their Mark Learning to Program with Rover
- Fall in Love with Polar Graphs: Top 4 Ways to Turn Heads with the TI-84 Plus
- March (4)
- Meet TI Teacher of the Month: Daniel Wilkie
- AP® Statistics: 6 Math Functions You Must Know for the TI-84 Plus
- Insider Tips for Winning the TI Codes Contest
- How a math teacher started her school’s first coding club
- Top 10 Features of TI-84 Plus for Taking the ACT®
- Celebrate Mathematics Awareness Month
- May (4)
- June (4)
- July (4)
- August (4)
- Meet TI Teacher of the Month: Fatemia Fuson
- Which TI Calculator for the SAT® and Why?
- Test your math strength against former pro-football player, John Urschel
- Tips for Transitioning to the TI-Nspire CX from the TI-84 Plus
- Six tips for using the TI-84 Plus CE on the SAT®
- 3 Fun Ways to Create Seating Charts
- Meet the Women in STEM Twitter Chat Panelists
- Art in Chemistry
- Which Texas Instruments (TI) Calculator for the ACT® and Why?
- Meet TI Teacher of the Month: Jessica Kohout
- Innovation in Biology
- Learning With Your Students
- A first-of-its-kind STEM strategy charts path to help educators
- #NCTMregionals Hartford 2018 Recap
- The Math Behind “Going Viral”
- Real-World Applications of Chemistry
- Testing Tips: Using Calculators on Class Assessments
- Fibo-Nachos, Anyone? Have Some Tasty Fun Teaching the Fibonacci Sequence
- Girls in STEM: A Personal Perspective
- 5 Teachers You Should Be Following on Instagram Right Now
- Meet TI Teacher of the Month: Katie England
- End-of-Marking Period Feedback Is a Two-Way Street
- #NCTMregionals Kansas City 2018 Recap
- Slope: It Shouldn’t Just Be a Formula
- Hit a high note exploring the math behind music
- December (6)
- January (2)
- February (1)
- April (3)
- May (1)
- June (3)
- July (1)
- August (1)
- September (1)
- October (1)
- April (2)
- May (2)
- August (1)
- September (3)