Percent Increase and Decrease Quiz
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Lesson: The First Derivative Test
Students often find success with the first derivative test once they understand how to apply it. By working through the examples visually and analytically, then applying the anchor chart, students can determine where the relative extrema are located. This lesson can be used as an introduction to the first derivative test, as remediation, or as review. Concepts included in this lesson are:Determining increasing and decreasing intervals. The First Derivative Test.Relative maximum and minimum
11th - 12th
Calculus, Math
Lesson: Concavity, Inflection Points, and the 2nd Derivative Test
How do my students learn the significance of taking the second derivative? This introduction to determining concavity, inflection points, and using the second derivative test is easy to follow and understand. The anchor charts lead the students into determining concavity and locating inflection points. Using the second derivative test, they will also practice determining if critical numbers are relative extrema. Included in this product:· Lesson on the Second Derivative with examples. · Guide
11th - 12th
Calculus, Math
Other Trig Derivatives - Tanx, Cotx, Secx, and Cscx
Are there derivatives for the other trig functions? Yes, there are, and we can even derive them easily. In this lesson students will learn the derivatives of all the trig functions and practice how to apply them. Concepts in this lesson are:· Derivations of other trig functions using Quotient Rule with sinx and cosx. · Determining derivatives. · Evaluating derivatives. · Comprehensive chart of all derivatives. (Chain rule not yet included.) You can print this no prep lesson and use it as
10th - 12th
Calculus, Math
Also included in: Differentiation: Definition and Fundamental Properties
Limits 3 - Laws of Limits worksheet and lesson
This worksheet packet will help your students learn to use the laws of limits to simplify an expression in order to find the value of a limit algebraically. Click here to SAVE by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the mate
11th - 12th, Higher Education
Calculus, PreCalculus
Introduction to The Mean Value Theorem
Students often feel overwhelmed when learning about theorems. This introductory lesson offers a concise explanation to the conditions and conclusion for the Mean Value Theorem. By following the included anchor chart, students determine when and how to apply the Mean Value Theorem. Concepts included in this lesson are:Slope of a secant line.Slope of a tangent line. Conditions for the Mean Value Theorem.The Mean Value Theorem.Applying the Mean Value Theorem.Determining the value for c. You ca
11th - 12th
Calculus, Math
What is a Derivative?
No Prep. In this mini-lesson, students will explore the difference between average rate of change, a secant line, and instantaneous rate of change, a tangent line or derivative. They will approximate a derivative from tables and graphs. Easy to follow examples help students complete the guided practice. A formative assessment worksheet completes the lesson. (A solution sheet is provided for teacher ease.) Both print and digital editions are available. Use them in your class and/or with o
10th - 12th
Calculus, Math
Also included in: Differentiation: Definition and Fundamental Properties
The Quotient Rule
Are your students overwhelmed with the Quotient Rule? The Quotient Rule is a long formula, but when we compare it to the Product Rule and then practice using it, the Quotient Rule will be much less intimidating . Concepts in this lesson are:· The Quotient Rule. · Comparison of Product Rule and Quotient Rule · Applying the Quotient Rule. (Anchor Chart included.) · Derivation of the Quotient Rule. (Optional) You can print this no prep lesson and use it as an in-class activity or download the
10th - 12th
Calculus, Math
Also included in: Product and Quotient Rules
General Definition of a Derivative
Applying the definition of a derivative is difficult for many students. However, by breaking the lesson into steps, students will generally find success. This lesson begins finding the derivative at a point, and then develops the general definition of a derivative. Concepts in this lesson are:· Definition of a derivative. · Determining derivatives using the definition. · All problems can be completed using the graphic organizer. You can print this no prep lesson and use it as an in-clas
10th - 12th
Calculus, Math
Also included in: Differentiation: Definition and Fundamental Properties
Learning Derivatives: The Chain Rule
How do I explain the Chain Rule to my students? Many students struggle with “seeing” the composition of a function, which makes applying the Chain Rule difficult. In this lesson, students will review composite functions and then learn how to apply the Chain Rule, both in a formal way and a more relatable way. Several examples are given, and then students have guided practice problems before they complete the worksheet, which can be used as a formative assessment. This lesson covers the Chain Rul
10th - 12th
Calculus, Math
Also included in: Differentiation Bundle: Composite, Implicit, and Inverse Functions
Learning Derivatives: Inverse Trig Functions
Many students have difficulty relating the inverse trig functions with their derivatives. By using a right triangle to derive some of the inverse derivatives, students can better understand these formulas. Then the students will use the inverse derivatives in the guided practice and formative assessment. The first page of the worksheet is determining derivatives containing inverse trig. The second page is determining the equation of a tangent line and finally deriving the derivative of the inver
10th - 12th
Calculus, Math
Also included in: Differentiation Bundle: Composite, Implicit, and Inverse Functions
More Derivatives: Exponentials, Logarithms, Sine, and Cosine
What is the relationship between sine and cosine, and exponentials and logarithms when determining derivatives? These functions are four more derivatives that students must commit to memory. This lesson and worksheet will guide students in applying and learning these derivatives. Concepts in this lesson are:· Comparison of derivatives of sin x and cos x. · Comparison of derivatives of natural exponent and natural log. · Evaluating derivatives. · Simplifying functions before finding deriv
10th - 12th
Calculus, Math
Also included in: Differentiation: Definition and Fundamental Properties
L'Hospital's Rule
Students love learning L’Hospital’s rule because it makes limits so much easier. Concepts included in this lesson are:· Identifying indeterminate forms. · Applying L’Hospital’s rule. · When L’Hospital’s rule does not apply. · Using L’Hospital’s rule more than once. The no prep lesson and worksheet are easy for students to follow and complete. You can print this lesson and use it as an in-class activity or download the digital learning choice for distance learning students. Even if you have
10th - 12th
Calculus, Math
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