Difference Quotient Teacher Resources

Find Difference Quotient lesson plans and worksheets
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AP Calculus AB Unit 6: Integration and Accumulation of Change

For Teachers 11th - 12th
The 14 lessons in the AP Calculus AB Unit 6: Integration and Accumulation of Change use informative videos to introduce the topic of each lesson and model procedures. Each resource packet includes a video, worksheets, practice solutions,...
31 Items in Collection
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Krista King Math: Derivatives

For Students 11th - Higher Ed Standards
Everything calculus scholars need to know about derivatives can be found in this 31-resource playlist. The collection defines the derivative and includes derivative rules, chain rule, derivatives of trig functions, derivatives of...
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AP Calculus AB Unit 1: Limits and Continuity

For Students 11th - 12th
Flip your classroom and teach AP Calculus remotely! Unit 1 of the course focuses on limits and continuity. Informative videos introduce each lesson's topic, and the resource packets include worksheets, practice solutions, and two...
1 In 1 Collection 4:08
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How to Calculate the Difference Quotient

For Students 11th - Higher Ed
The difference quotient looks worse than it is. Determining the difference quotient is the first step in finding the derivative using the definition. The second segment in a series of 31 works through an example of simplifying the...
2:47
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The Difference Quotient (Linear Function) Example 1

For Students 8th - 11th
Difference quotients are easy ... just subtract and divide. Viewers watch an instructional video to learn how to determine the difference quotient of a linear function. The example covers the function f(x) = 2x - 5.
4:40
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The Difference Quotient (Quadratic Function) Example 3

For Students 8th - 11th Standards
Take an example out of more advanced math. Pupils observe how basic algebraic concepts help solve expressions from higher level math courses. The video from a Mathispower4u Algebra 1 series shows the evaluation and simplification of the...
4:18
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Computing Difference Quotients - Concept

For Students 9th - 12th
Taking precalculus will make finding tangents secant nature! Many people are confused by using difference quotients with limits in a derivative, and these videos help break it into smaller pieces. Leaving out the derivative and the...
4:42
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The Difference Quotient (Quadratic Function) Example 2

For Students 8th - 11th Standards
Use a calculus concept to build algebra skills. A helpful Mathispower4u Algebra 1 video uses the difference quotient, a typical expression from calculus, to show different algebraic techniques. Pupils observe applications of function...
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Average Rate of Change, Difference Quotients, and Approximate Instantaneous Rate of Change

For Teachers 9th - 12th Standards
Pupils, with the assistance of their TI-84 Plus / TI-83 Plus calculators, distinguish meanings from right, left and symmetric difference quotients that include rate of change and graphical interpretations. They utilize symmetric...
1 In 1 Collection 12:15
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Definition of the Derivative to Find the Derivative

For Students 11th - Higher Ed
Serve up the definition of the derivative two ways. Video three in a series of 31 begins with making the distinction between the difference quotient and the definition of the derivative. The presentation shows two ways the definition is...
7:23
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Finding Function Values

For Students 8th - 11th Standards
Prepare early for higher-level math. Viewers of a short video learn to evaluate functions for specified values. They also see how to substitute x + h to evaluate a difference quotient like the one used when algebraically determining...
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Local Linearity, Differentiability, and Limits of Difference Quotients

For Teachers 10th - 12th
Students explore the local linearity of several functions at different points. They investigate the local linearity given a function and a point and then connect that notion with the function's differentiability at that point.
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Tangent Lines

For Teachers 10th - 12th Standards
Making the leap from graphing functions to talking about the slope of curves is eased into with the help of worksheets and presentations like this one. With an emphasis on connections to limits and velocities, without ever saying the...
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The Definition of Deravitive

For Teachers 12th
Twelfth graders investigate derivatives.  In this Calculus lesson, 12th graders use the Ti-89 calculator to explore the difference quotient as the definition of the derivative. 
18:38
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The Paradox of the Derivative | Essence of Calculus, Chapter 2

For Students 11th - Higher Ed
It turns out that "instantaneous rate of change" isn't an accurate representation of the derivative. Viewers of the second video in a series of 11 learn about the concept of the derivative, from the limit of a difference quotient to the...
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Quiz 1: Functions, Domain and Range

For Students 9th - 12th Standards
Take the work out of worksheets and use these problems and worked-out answer key as a resource. The problems reinforce skills in domain and range, identifying graphs, and even and odd functions.
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Test 1: Graphing Functions

For Students 9th - 12th Standards
Graph the night away with all the different types of functions provided in the activity. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.
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Using Addends and Sum/Using Subtrahend, Minuend, and Difference

For Students 2nd - 4th
What is an addend? What is a sum? Review this math terminology on the top half of the worksheet before practicing basic addition. 
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Quiz 1: Types of Functions

For Students 9th - 12th Standards
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...
17:05
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Essence of Calculus, Chapter 1

For Students 11th - Higher Ed
Dive into the essence of calculus. The first installment of an 11-part playlist introduces the video series by looking at the area of a circle and the area under curves. The narrator explains how to look at calculus as taking a hard...
1 In 1 Collection
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Calculus AB/BC - Can Change Occur at an Instant?

For Students 10th - 12th
Be instantly transfixed by the idea of instantaneous rates of change. Scholars watch an informative video that introduces the fathers of calculus, Newton and Leibniz. They then learn about instantaneous rates of change by first...
1 In 1 Collection
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Calculus AB/BC Mid-Unit 1 Review: Limits

For Students 10th - 12th
Limit the amount one forgets about limits. A mid-unit review lesson has individuals complete a worksheet of problems on limits. They go over the meaning of limits, evaluate limits algebraically, use graphs and tables to find limits, and...
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Word Problems

For Students 9th
In this algebra activity, 9th graders rewrite word problems into algebraic sentences. They define sum, difference, quotient and factors. There are 5 word problems with an answer key.
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The Derivative

For Students Higher Ed
In this derivative activity, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page activity contains definitions, examples, and five...

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