Difference Quotient Teacher Resources
Find Difference Quotient lesson plans and worksheets
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Lesson Planet Curated
AP Calculus AB Unit 6: Integration and Accumulation of Change
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,...
Lesson Planet Curated
Krista King Math: Derivatives
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...
Lesson Planet Curated
AP Calculus AB Unit 1: Limits and Continuity
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...
Krista King Math
How to Calculate the Difference Quotient
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...
Mathispower4u
The Difference Quotient (Linear Function) Example 1
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.
Mathispower4u
The Difference Quotient (Quadratic Function) Example 3
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...
Brightstorm
Computing Difference Quotients - Concept
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...
Mathispower4u
The Difference Quotient (Quadratic Function) Example 2
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...
Curated OER
Average Rate of Change, Difference Quotients, and Approximate Instantaneous Rate of Change
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...
Krista King Math
Definition of the Derivative to Find the Derivative
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...
Mathispower4u
Finding Function Values
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...
3Blue1Brown
The Paradox of the Derivative | Essence of Calculus, Chapter 2
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...
Mt. San Antonio Collage
Quiz 1: Functions, Domain and Range
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.
Mt. San Antonio Collage
Test 1: Graphing Functions
Graph the night away with all the different types of functions provided in the instructional activity. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.
Curated OER
Using Addends and Sum/Using Subtrahend, Minuend, and Difference
What is an addend? What is a sum? Review this math terminology on the top half of the instructional activity before practicing basic addition.
Mt. San Antonio Collage
Quiz 1: Types of Functions
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...
3Blue1Brown
Essence of Calculus, Chapter 1
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...
Flipped Math
Calculus AB/BC - Can Change Occur at an Instant?
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...
Flipped Math
Calculus AB/BC Mid-Unit 1 Review: Limits
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...
Curated OER
Word Problems
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.
Curated OER
The Derivative
In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...
College Board
Beginning the Year with Local Linearity
Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...
Curated OER
Symbols in Algebra
Learners name and sketch numerical expressions. In this order of operation lesson, students add, subtract, multiply and divide using the correct order of operation. They perform four specific calculations for their motivation lesson.
Curated OER
Symmetric Secant
Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry activity, students create secant lines on the navigator to analyze the derivative. They move the lines around and make observations.
