Percent Increase and Decrease Quiz
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Expansive Sequences and Series Lesson
This is a thorough lesson on sequences and series. Although it does not include all of the convergence tests. (Those are in the next document.) The document focuses on definitions of various terms, types of series, and there properties. It includes 18 example problems. Topics tackled include sequence notation, series notation (summation notation), writing the terms of a sequence given the definition and vice versa, recursively-defined sequences, bounds, increasing/decreasing/non-increasing/non-d
9th - 12th
Calculus, Math, PreCalculus
Differentiation
Apply differentiation to gradients, tangents and normals, increasing
and decreasing functions and rates of change (including connected
rates of change);locate stationary points, and use information about stationary points in sketching graphs (the ability to distinguish between maximum points and minimum points is required, but identification of points of inflexion is not included).
The unit includes:
1) The Limit & Differentiation
2) The Derivative and Tangent Line Problem
3) Basic Differenti
11th - 12th, Higher Education
Calculus, Math, PreCalculus
Functions and Their Properties Advanced Math/Pre Calculus Mini Lesson
This SmartBoard mini lesson includes determining if a relation is a function, function notation, implied vs relevant domain, findng the domain and range of a function, continuity and types of discontinuity, increasing and decreasing functions, boundedness, local extrema, even and odd functions, identifying asymptotes,and using limit notation,
10th - 12th, Higher Education
Calculus, PreCalculus
Derivatives Practice PowerPoint with Practice Problems
This PowerPoint presentation was one that I used to review derivatives with a group of Differential Calculus students. It goes over basic differentiation rules with some helpful visual aides. It includes an old quiz and a brief homework assignment. There are also a few bonus slides at the end in case the lecture is not as long as desired.
10th - 12th, Higher Education
Calculus, PreCalculus
AP Calculus AB Powerpoint Big Idea 1 (Limits and Continuity)
PowerPoint presentation (43 slides) for AP Calculus AB Big Idea 1 (Limits & Continuity)
10th - 12th, Higher Education
Calculus, Math
The Derivative of a Polynomial Function
This PowerPoint shows proofs of both the Power Differentiating and Constant Multiple Rules. Several examples use these differentiation rules for polynomial functions.
The PowerPoint uses over 50 custom animations to simulate what a teacher would write on a white or black board to teach a lesson on this topic.
12th, Higher Education
Calculus
Exponential Functions PowerPoint Lesson | High School Math
Are you teaching your High School students about Exponential Functions? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive. What is included?✦ 7 total slides for notes, examples and applications. ✦ All steps are animated to allow the teacher to explain them gradually. Throughout the Lesson, students will be introduced to the following:✦ Exponential Function Definition ✦ Tabular Integratio
10th - 12th, Higher Education
Algebra, Calculus, Math
Also included in: High School Math PowerPoint Lesson Bundle | 9th-12th Grade Full Year
Related Rates
This is topic 23 in my AP Calculus curriculum. This PowerPoint guides students through how to set up and solve related rate problems. You may either have students go through the PowerPoint on their own or you may do it as a whole class. It is best used with the corresponding notes that I have created for it.
9th - 12th, Higher Education
Calculus, PreCalculus
Intermediate Value Theorem Notes
These notes correspond with my Intermediate Value Theorem Power Point. Students may follow along as you go through the power point and make their own notes. This hopefully saves time and allows students to focus more on the concept rather than trying to get everything written down.
9th - 12th, Higher Education
Calculus, PreCalculus
Series Convergence Tests Lesson
This is a document covering all of the convergence tests for series. For each one, there is an explanation, applicable formula, and worked example. The answer to each example is either converges conditionally, converges absolutely, or diverges. Tests include Divergence/nth Term Test, Geometric Series Test, P-Series Test, Telescoping Series Test (with and without partial fraction decomposition required), Integral Test, Ratio Test, Root Test, Direct Comparison Test, Limit Comparison Test, Alternat
9th - 12th
Calculus, Math, PreCalculus
IBAA SL - Applications of differentiation: Optimisation
PowerPoint presentation, 15 slides, Using derivatives to solve problems on optimisation, based on IB Mathematics Higher Level Syllabus.Power Point presentation, 21 slides, Explaining how to use the first and second derivative to maximise or minimise magnitudes in real life situations. It includes a worksheet with exercise for the lesson followed by the corresponding answer sheet, based on the Maths IB Analysis and approaches Syllabus. You will get the following files: PPTX (502KB)PDF (112KB)PDF
12th
Calculus, Math
AP Calculus - Complete Course
This is a complete set of notes for an AP Calculus course. There are over 300 slides/pages mostly in PowerPoint format. There are a few lessons in Smart Notebook format. The text the lessons align with is "Calculus of a Single Variable"; Larson, Hostetler, Edwards. The slides will include warm-ups, examples, vocabulary, formulas, animation, and basically everything to present to students. Some lessons may include links to other files such as Smart Response, Geometer's Sketchpad, or others.
11th - 12th
Calculus
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