Handout
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Chapman University

Derivative of sin x

For Teachers 10th - 12th Standards
Direct and to the point (the slope at a point that is) describes this one-page proof of the derivative of the sin(x). The definition of a derivative using a limit is the first step in this sequential, algebraic, explanation of how...
Lesson Plan
West Contra Costa Unified School District

Derivative Theorems

For Teachers 11th - Higher Ed
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...
Handout
West Contra Costa Unified School District

Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...
eBook
Whitman College

Calculus - Early Transcendentals

For Teachers 9th - Higher Ed Standards
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
Lesson Plan
West Contra Costa Unified School District

Particle Motion

For Teachers 11th - Higher Ed Standards
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...
Handout
Chapman University

Proving the Chain Rule

For Teachers 10th - Higher Ed
Understanding how our calculus derivative formulas were derived, connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the short cuts used to find a...
Lesson Plan
West Contra Costa Unified School District

Indefinite Integrals

For Teachers 11th - Higher Ed Standards
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
Lesson Plan
West Contra Costa Unified School District

Law of Sines

For Teachers 10th - 12th Standards
One must obey the sine laws. A lesson plan introduces and derives the Law of Sines for non-right triangles. With examples that use the Law of Sines to determine unknown measures in triangles, the lesson plan checks to see...
Lesson Plan
West Contra Costa Unified School District

Interest and the Number e

For Teachers 10th - 12th Standards
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would...
Lesson Plan
West Contra Costa Unified School District

Discovering Zero and Negative Exponents

For Teachers 9th - 12th Standards
Need a hand with an Algebra II integer exponent lesson? This versatile worksheet can be utilized as a lesson to supplement instruction. It derives the idea of a negative exponent before practicing a variety of questions.    
Handout
University of Notre Dame

The Natural Exponential Function

For Students 11th - 12th Standards
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 
Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
eBook
Whitman College

Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
Lesson Plan
Willow Tree

Equations of a Line

For Students 8th - 11th Standards
Each form of a linear equation has its purpose — pupils just have to find it. Building on the previous lesson in the series, learners examine point-slope and standard form. Using point-slope form, pupils write the equation of a...
Lesson Plan
West Contra Costa Unified School District

The Extreme Value Theorem

For Teachers 11th - Higher Ed
Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
AP Test Prep
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Flipped Math

Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
Handout
Curated OER

Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...
Lesson Plan
Willow Tree

Slope

For Students 8th - 11th Standards
Investigate the different types of slope using graphs and ordered pairs. Scholars use the slope formula to determine the slope of a line between two points. Includes examples with a slope of zero and with no slope. The lesson follows a...
Handout
San Antonio Independent School District

Breaking Down the Declaration of Independence

For Students 6th - 8th Standards
Are learners heavy sighing at the idea of reading a primary source, written in a language that is difficult to understand and in cursive? Look no further, because the resource breaks down the Declaration of Independence in an...
Handout
National Institute of Open Schooling

Alcohols, Phenols and Ethers

For Students 9th - 12th Standards
Classes continue their study of organic compounds in a detailed lesson covering alcohols, phenols, and ethers. Naming these compounds, classifying them, and describing their preparation and use are some of the topics covered. Through...
Handout
National Institute of Open Schooling

Aldehydes, Ketones and Carboxylic Acids

For Students 9th - 12th Standards
Although their name makes them sound dangerous or toxic, carboxylic acids are found throughout nature in things such as citric acid, vinegar, and even in your DNA. Through detailed readings, discussions, and answering questions...
Handout
National Institute of Open Schooling

Compounds of Carbon Containing Halogens (Haloalkanes and Haloarenes)

For Students 9th - 12th Standards
Halogens comes from a Greek word which translates to make salt. Lesson 27 in the series of 36 teaches pupils about halogens. Pupils read, discuss, and answer questions in order to learn about haloalkanes and haloarenes. From defining...
Handout
National Institute of Open Schooling

Chemical Kinetics

For Students 9th - 12th Standards
Not all chemical reactions happen at the same rate because some, like explosions, occur quickly and some, like rusting, occur over time. Here, learners explore chemical reactions and their rates in the 16th lesson of 36. Through readings...
Handout
National Institute of Open Schooling

Ionic Equilibrium

For Students 9th - 12th Standards
Scientific studies show the older we get, the more acidic we become. The activity extensively teaches high schoolers about acids and bases. By the end of the 14th installment of 36, they can define and explain three concepts of...

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