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Worksheet
Curated OER

Limits and Trigonometric Equations.

For Students 10th - 12th
For this calculus worksheet, students solve functions dealing with limits and the 6 trigonometric values. They find the slope and tangent lines. There are 28 questions. 
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AP Test Prep
College Board

2008 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
The AP® exam is not just about the calculations. By reviewing the free-response questions from 2008, teachers and pupils see that several items require justifications and explanations to gain full credit. The chief reader even points out...
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Lesson Plan
Curated OER

Parametric, Vector, Polar, and 3D Functions

For Teachers 12th
Twelfth graders investigate the capabilities of the TI-89.  In this calculus instructional activity, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories.  Students investigate the...
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Lesson Plan
Curated OER

Secant Line Approximation of the Tangent Line

For Teachers 9th - 11th
Students perform operation with secant and tangent lines. In this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.
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Worksheet
Curated OER

Epidemic or False Alert?

For Students Higher Ed
In this rate activity, students use the SIR model to determine if a disease is spreading at an epidemic rate. They find the slope of a curve and the slope of a line that goes through a given point. This two-page activity contains...
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Lesson Plan
Curated OER

Implicit Differentiation

For Teachers 11th - 12th
Students implicitly differentiate functions .  For this implicitly differentiating functions lesson, students take the derivative of functions that cannot be solved for a variable.  Students find the derivative of an equation for a...
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Lesson Plan
Curated OER

Junkyard Wars: Mechanical Monsters

For Teachers 6th - 12th
Students examine slope and build a Lego car that can take a steep slope. In this mechanics instructional activity students build a car and demonstrate them in class and describe what they did.
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Worksheet
Curated OER

Shaping the Land

For Students 4th - 8th
In this shaping the land activity, students will match 7 vocabulary words relating to the movement of sediments to its definition. Kids will read 10 statements about how water and glaciers impact sediment movement and answer true or...
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Lesson Plan
Curated OER

Linear and Nonlinear Functions

For Teachers 8th - 10th
Students identify properties of a line. In this algebra activity, students differentiate between functions and nonfunctions. They use the slope and y intercept to graph their lines.
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Lesson Plan
Curated OER

Graphing Scatterplots

For Teachers 7th - 9th
Students examine scatterplots and determine the equation of a line using the slope-intercept method. Students interpret graphs, draw inferences, and sketch a curve of best fit for the graph. Based upon patterns in the graphs, students...
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Lesson Plan
Curated OER

Reading a Graph: Azimuth Range vs. Day in Barrow Alaska

For Teachers 9th - 12th
Young scholars practice reading a graph while doing story problems. They determine the x and y intercepts and calculate the slope. They also practice writing linear equations.
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Lesson Plan
Curated OER

Rates Of Change

For Teachers 9th - 12th
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
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Lesson Plan
Curated OER

Ohm's Law

For Teachers 8th - 12th
Students explain the meaning of Ohm's Law, and plot a graph of voltage versus current, by explaining how the slope is the resistance of the circuit.
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Lesson Plan
Curated OER

Lesson #67 Relative Extrema

For Teachers 12th
  Students test for relative extrema.  In this Calculus lesson, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.  
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Lesson Plan
Curated OER

Mathematical Techniques - Basic Graphing

For Teachers 11th - 12th
Learners are introduced to significant figures and how to add, subtract, multiply and divide them. In a group, they practice plotting data points from a table to a graph and labeling all axes. They calculate the slope and y-intercept and...
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Worksheet
Miami University

Chapter Nine Worksheet: Monopoly

For Students 12th - Higher Ed
Advanced economics pupils analyze a series of graphs, data sets, and profit scenarios all related to monopolies and marginal revenue. They read through the background information, complete a graph using the data provided, and justify...
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Lesson Plan
Curated OER

Filling the Glass (Water, Air, and Fractions)

For Teachers 5th - 7th
Learners predict which of two glasses is 1/2 full using visual estimation, height measurement, and liquid measurement methods. Mathematical equations to accurately solve the problem are determined and verified.
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PPT
Curated OER

Calculus 10.1 - Parametric Functions

For Teachers 11th - 12th
Here is a high-level, interractive presentation on calculus for your high schoolers. Parametric equations, derivatives, functions, and the Pythagorean Theorem are all part of this fine PowerPoint. Additionally, two interesting...
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Lesson Plan
Curated OER

Chapter 11: Aggregate Demand and Aggregate Supply

For Teachers 10th - 12th
Bring the intricacies of the Aggregate Demand-Aggregate Supply Model (AD-AS) to life in this detailed - yet understandable - presentation. Viewers will appreciate the clear explanations and graphs as they begin their adventure through...
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Lesson Plan
Virginia Department of Education

Exponential Modeling

For Teachers 10th - 12th
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
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PPT
University of Texas

A Library of Parent Functions

For Students 9th - 12th Standards
Don't think this lesson is for Mom and Dad; parent functions are all for your high schoolers. Flip through a presentation with a focus slide on each type of graph and its characteristics. Some examples are included but the focus is on...
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Lesson Plan
EngageNY

Nonlinear Models in a Data Context

For Teachers 8th Standards
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the instructional activity, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in...
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Activity
It's About Time

Volcanic Landforms

For Teachers 7th - 12th Standards
Did you know the word volcano comes from the name of the Roman god of fire, Vulcan? During this activity, scholars make a topographic map, interpret topographic maps, and infer how lava will flow based on their analysis. 
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Lesson Plan
Cornell University

Mechanical Properties of Gummy Worms

For Students 9th - 12th Standards
Learners won't have to squirm when asked the facts after completing an intriguing lab investigation! Hook young scholars on science by challenging them to verify Hooke's Law using a gummy worm. Measuring the length of the worm as they...