Lesson Plan
Curated OER

Proof by Induction

For Teachers 12th
Twelfth graders define and prove theorems using induction. In this calculus lesson, 12th graders differentiate between inductive reasoning and deductive reasoning. They review sigma notations and work proofs by induction.
Lesson Plan
Curated OER

Test on Section 6.1-6.6

For Teachers 12th - Higher Ed
Students apply their knowledge of integration on this test. In this calculus lesson, students answer question about, riemann sums, integrals and calculate area under a curve. This lesson review these concepts and includes a test for the...
Lesson Plan
Curated OER

Test on Chapter 7

For Teachers 11th - Higher Ed
Students review integrals and how they apply to solving equations. In this calculus lesson, students assess their knowledge of area between two curves, arc length, finding the volume using disk, washer and shell method. This assignment...
Lesson Plan
Curated OER

Summary of Techniques of Integration

For Teachers 11th - 12th
Students define and review techniques for integration by parts. In this calculus lesson, students solve rational expression using integration and apply the partial fraction rule. They practice solving  problems online. 
Lesson Plan
Curated OER

Numerical Methods of Integration

For Teachers 10th - 12th
Students calculate the area under a curve. In this calculus lesson, students estimate and calculate the area of a curve using simpson's rule and the trapazoidal rule. They review rieman sums and add to it.
Worksheet
Curated OER

Derivative Formulas

For Students 9th - 11th
In this calculus worksheet, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.
Lesson Plan
Curated OER

Integrals involving Trig Substitution

For Teachers 12th
Twelfth graders solve derivatives using trig substitution. For this trigonometry lesson, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving problems on their own.
eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Worksheet
Curated OER

Matrices

For Students 9th - 10th
In this calculus worksheet, students practice solving equations of area and integrals. There are 14 multi-step problems.
Lesson Plan
Curated OER

Differentiation

For Teachers 9th - 12th Standards
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The lesson provides examples with solutions and practice problems. 
Worksheet
Curated OER

Integration Review Part 6

For Students Higher Ed
In this college level calculus worksheet, students review various integration techniques.  The one page worksheet contains three problems.  Answers are not provided. 
Lesson Plan
Curated OER

Inverse Trigonometric Functions (Review)

For Teachers 9th - 12th
Young scholars investigate the concepts related to inverse trigonometric functions and then review the graphs for the inverse. They apply the functions using the context of the example problems provided in the lesson. The lesson includes...
Worksheet
Curated OER

Math 155 Review Worksheet for Exam 1

For Students Higher Ed
In this college level calculus worksheet, students evaluate the given limits or show that the limit does not exist.  Students determine the derivative of the given functions.  The two page worksheet contains twenty-six...
Worksheet
Curated OER

The Substitution Review Problems

For Students Higher Ed
In this college level calculus worksheet, students use trigonometric substitution to evaluate the given integrals.  The one page worksheet contains eight problems.  Answers are not included. 
Lesson Plan
Curated OER

Jurassic Park: The Science and Ethics of Genetic Engineering

For Teachers 10th - 12th
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...
Worksheet
Curated OER

Verb Forms

For Students 5th - 8th
Targeting some commonly misused verbs, this learning exercise could help students avoid language-related errors. While just a short review of verbs, it could be a way to introduce the importance of proper word usage.
eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
Worksheet
Curated OER

Math 305 Handout 2

For Students Higher Ed
In this college level calculus learning exercise, students determine if the given equation is linear and determine the order of the equation.  The one page learning exercise contains forty-three problems.  Answers...
Worksheet
Curated OER

Math 155 Review Worksheet 5

For Students Higher Ed
In this college level Calculus learning exercise, students find the derivative of the given function and find the rate of change of the area of a circle with respect to its circumference.  The two page learning exercise contains...
Lesson Plan
Curated OER

Applied Maximum Minimum Problems--Mini Golf

For Teachers 12th
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. In this calculus lesson, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They...
Lesson Plan
Curated OER

Functional Analysis

For Teachers 9th - 10th
Students perform functional analysis. In this pre-calculus lesson plan, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
Lesson Plan
Curated OER

Understanding Fundamental Trigonometric Identities

For Teachers 9th - 12th
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...
Worksheet
Curated OER

Limit Comparison Test

For Students 11th
In this calculus worksheet, 11th graders solve 7 problems where they determine the convergence and divergence properties using the limit comparison test.
Worksheet
Curated OER

Series Review VI

For Students Higher Ed
In this college level calculus worksheet, students use the ratio test to determine if  a seriesconverges or diverges.  The two page worksheet contains six practice problems.  Answers are not included. 

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