Unit Plan
College Board

Vectors: A Curriculum Module for AP® Calculus BC

For Students 10th - 12th
It is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...
Unit Plan
Mathematics Vision Project

More Functions, More Features

For Teachers 10th - 12th Standards
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
Unit Plan
CK-12 Foundation

Ck 12: Calculus: Volume by Cross Section

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This tutorial explains how to calculate the volume of various solids using the 'slicing' method and then deriving a formula for each solid. It goes on to discuss...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Derivatives of Sums and Differences

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn about the derivatives of binomials (sums and differences), and multiples of binomials (Product Rule). Students examine guided notes,...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Quotient Rule and Higher Derivatives

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] In the lesson students study the derivatives of rational functions and higher derivatives of polynomial functions. Students examine guided notes, review guided...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Constant Derivatives and the Power Rule

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn about the derivatives of constants and the power rule. Students examine guided notes, review guided practice, watch instructional...
Unit Plan
Khan Academy

Khan Academy: Second Derivatives

For Students 10th - 12th
Second derivatives practice problems.
Unit Plan
Mathematics Archives

Math Archives: Visual Calculus: Differentiation Formulas

For Students 9th - 10th
This site gives the definition of a derivative, discusses the derivative of a constant function, gives general operations to use on functions with derivatives (scalar multiplication, addition, and the power rule). The site has multiple...
Unit Plan
University of California

U of Ca, Davis: Graphing Functions Using Derivatives

For Students 9th - 10th
Learn about the graphing of functions through useage of the first and second derivatives.
Unit Plan
Khan Academy

Khan Academy: Worked Example Motion Problems With Definite Integrals

For Students 9th - 10th
Remember, anti derivative of acceleration with respect to time is velocity and anti derivative of velocity with respect to time is distance where acceleration, velocity, distance are all functions of t, the time. This concept is very...
Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Volume Equations for a Sphere and Pyramid

For Students 9th - 10th Standards
This site uses calculus to explain how the formulas for finding the volume of a sphere and a pyramid were derived.
Unit Plan
Cuemath

Cuemath: Integration

For Students 9th - 10th
Explore the world of integration in this mini-lesson. Learn the integration rule and other integral concepts and try your hand at a few practice questions.
Unit Plan
Mathematics Archives

Math Archives: Logarithmic Differentiation

For Students 10th - 12th
Practice evaluating the derivatives of expressions using logarithmic differentiation.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Instantaneous Rates of Change

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn the difference between average rate of change and instantaneous rate of change. Students examine guided notes, review guided practice,...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Cross Products

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lessons students will be defining and calculating cross products and normal vectors. Students examine guided notes, review guided practice, watch...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Rational Function Limits

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the limits of rational functions algebraically. Students examine guided notes, review guided practice, watch instructional videos and...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Discrete and Continuous Functions

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn the difference between discrete and non-discrete functions. Students examine guided notes, review guided practice, watch instructional...