Flipped Math
Calculus AB/BC - Defining Continuity at a Point
Learning about continuity is a continuous process. An educational video first shows individuals the definition of continuity at a point. They see several examples on the topic and then investigate how to identify the types of...
Curated OER
AP Exam Rubrics/ Four Color Theorem
Twelfth graders review free response questions that are present on the AP exam. In this calculus lesson plan, 12th graders analyze the 4 color theorem that proved 4 colors were enough to color a map while still separating adjacent...
Curated OER
Integration by Substitution
Looking for help in introducing integration by substitution to your calculus students? Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps...
College Board
Reasoning from Tabular Data
Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...
Curated OER
Slope Fields
Students create and analyze slope fields. In this calculus lesson, students create a visual of differential equations. They use the Ti Navigator to create slope fields.
Texas Instruments
TI-Nspire™ CAS
When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...
Curated OER
Calculus: Graphical, Numerical, Algebraic
Students explore the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function. They write a paragraph describing any...
Curated OER
Differentiation
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The lesson provides examples with solutions and practice problems.
Curated OER
Final Exam Multiple Choice part B
Twelfth graders review the properties of derivatives without a calculator to get get ready for their test. In this calculus instructional activity, 12th graders review average rate change, parametric equations, a line tangent to a...
Curated OER
Jurassic Park: The Science and Ethics of Genetic Engineering
Explore genetic engineering through an engaging "Jurassic Park" unit, which is an extensive use of a cross-curricular teaching event. Planned for AP Biology, English, and Calculus students, learners and teachers are involved for 4-6...
Curated OER
Calculus
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson is on the interplay between the geometric and analytic information.
West Contra Costa Unified School District
Derivative Theorems
Put all of the derivative rules into one basket. The lesson stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...
Curated OER
Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
Curated OER
Move My Way: A CBR Analysis of Rates of Change
Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, students use specific functions on their calculators to create graphs and...
Curated OER
Two Investigations of Cubic Functions
Through learning about cubic functions, students graph cubic functions on their calculator. Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
Curated OER
Worksheet 1
In this math instructional activity, students give an example of a function which is continuous but not differentiable. They also write a definition for differentiable.
Department of Defense
Do Dea: Ap Calculus
View xplanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
Department of Defense
Do Dea: Ap Calculus
View explanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
Department of Defense
Do Dea: Ap Calculus: Radioactivity and Half Life [Pdf]
Apply the Law of Exponential Change to solve a "real-world" science problem. Formulas and examples are provided. Great review for the AP Calculus test!
Department of Defense
Do Dea: Fundamental Theorem of Calculus Part 1
Familiarize yourself with one of the most important theorems in all of calculus, the Fundamental Theorem of Calculus. Plenty of examples and explanations are provided. This is a great review for AP Calculus test!
Department of Defense
Do Dea: Fundamental Theorem of Calculus Part 2
This part of the Fundamental Theorem of Calculus tells us what happens when you take the derivative of an integral that has a variable as an upper limit of integration. Examples and explanations are provided. Great review for the AP...
Khan Academy
Khan Academy: Absolute Minima & Maxima Review
Review how we use differential calculus to find absolute extremum (minimum and maximum) points.
Department of Defense
Do Dea: Compound Interest
The compound interest formula that banks use when the interest is compounded continually is an exponential function. Review the regular formula for compound interest on this site. Great review for the AP Calculus test!