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Instructional Video8:36
Corbett Maths

Instantaneous Rates of Change

For Students 8th - 12th Standards
Here's a great lesson that looks at slope as an instantaneous change. Using an estimated tangent line, the presenter shows the class how to find an approximation for the instantaneous rate of change. Scholars determine the slope of the...
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Lesson Plan
EngageNY

Interpreting Rate of Change and Initial Value

For Teachers 8th Standards
Building on knowledge from the previous instructional activity, the second instructional activity in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate...
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Lesson Plan
EngageNY

Graphs of Linear Functions and Rate of Change

For Teachers 8th Standards
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
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AP Test Prep18:38
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1
Flipped Math

Calculus AB/BC - Average and Instantaneous Rate of Change

For Students 10th - 12th
Ramp up the average rate of change—instantly. Learners use their knowledge of the formula to find the average rate of change to find the instantaneous rate of change. The presenter shows pupils an interactive that demonstrates finding...
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Instructional Video6:15
Corbett Maths

Average Rate of Change

For Students 8th - 12th Standards
Simply find the slope to find the average rate of change. A short video provides the definition of the average rate of change. Using the definition, pupils calculate the average rate of change to solve problems that cover finding average...
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Lesson Plan
Curated OER

Building Understanding of Rate of Change/Slopes Using Alice

For Teachers 8th - 10th
Students explore slope as a rate of change. In this eighth grade mathematics lesson, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining slope. Students...
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Worksheet
Curated OER

Exploration 1: Instantaneous Rate of Change Function

For Students 11th - 12th
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
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Lesson Plan
Curated OER

Rate of Change 1

For Teachers 10th - 11th
In this rate of change worksheet, students use functions to determine the velocity of an object. This two-page worksheet contains ten problems.
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Interactive
CK-12 Foundation

Average and Instantaneous Rates of Change

For Students 11th - Higher Ed
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
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Lesson Plan
Curated OER

Instantaneous Rate of Change of a Function

For Teachers 10th - 12th Standards
Pupils draw the graph of a door opening and closing over time. They graph a given function on their calculators, create a table of values and interpret the results by telling if the door is opening or closing and evaluate the average...
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Lesson Plan
EngageNY

Average Rate of Change

For Students 8th Standards
Learners consider the rate of filling a cone in the 23rd installment of this lesson series. They analyze the volume of the cone at various heights and discover the rate of filling is not constant. The lesson ends with a discussion of...
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Lesson Plan
West Contra Costa Unified School District

Average Rate of Change

For Teachers 8th - 10th Standards
Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.
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Activity
Houston Area Calculus Teachers

Related Rates

For Students 11th - Higher Ed
Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they collect,...
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AP Test Prep6:53
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1
Flipped Math

Calculus AB/BC - Rates of Change in Applied Contexts Other Than Motion

For Students 10th - 12th
Stay a while—and learn about rates of change. Scholars learn about rates of change not related to motion by watching an informative video. They see how to interpret derivatives in different contexts, paying particular attention to...
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Worksheet
Curated OER

Calculus Worksheet: Rate of Change

For Students 11th - 12th
In this calculus learning exercise, students calculate the rate of change of an equation as it relates to a leaning ladder. There is an answer key to this word problem.
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Worksheet
Curated OER

Rates of Change

For Students 7th - 10th
In this rate of change worksheet, students read about how to calculate the rate of change in different processes such as plant growth. They are given example problems and practice calculating rates of change.
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Lesson Plan
Curated OER

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...
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Lesson Plan
Curated OER

Cardiac Output, Rates of Change, and Accumulation

For Teachers 9th - 12th
Students explore rates of change.  In this cardiac output lesson, students measure the amount of blood being pumped by a heart.  They explore the flow rate and complete an accumulation and concentration problem.  They analyze data, flow...
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Worksheet
Curated OER

Working with Rates of Change

For Students 8th - 12th
In this calculus worksheet, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.
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Lesson Plan
Curated OER

Rate of Change Graphically

For Teachers 9th - 10th
Students calculate the rate of change. In this algebra lesson, students identify the slope and discuss the different properties of lines as they relate to rate. A discuss doubling time, zero slope and being in two places at once.
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Lesson Plan
West Contra Costa Unified School District

Average Rate of Change

For Teachers 9th - 12th Standards
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...
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Lesson Plan
Illustrative Mathematics

Video Streaming

For Teachers 7th - 9th Standards
Your movie fans will be interested in this resource. They will compare video streaming plans. One plan charges a set rate per month and a reduced viewing fee, and the other has a flat rate per each video viewed. Unfortunately, learners...
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Lesson Plan
Curated OER

Worksheet 12: Functions

For Teachers 11th - Higher Ed
In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
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Lesson Plan
Curated OER

A Day at the Beach

For Teachers 6th - 8th
Help learners determine the rate of change for the temperature of sand. They will collect data on the temperature of wet and dry sand over time with a heat lamp overhead. Then make a scatter plot of the data and find a linear model to...

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