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AP Test Prep
College Board

Differentiability of Piecewise Defined Functions

For Teachers 10th - 12th
Differentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...
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AP Test Prep
College Board

Frozen in Time

For Teachers 10th - 12th
Take a closer look at increasing and decreasing behavior by zooming in on graphs. An AP® Calculus reference document examines how increasing/decreasing behavior should be considered in terms of intervals rather than points. The resource...
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Lesson Plan
Curated OER

The Apple Orchard Problem

For Teachers 11th - 12th
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard instructional activity, students collect data in order to solve the apple orchard problem...
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Lesson Plan
Curated OER

Quartic Inflection

For Teachers 9th - 12th Standards
Learners use their TI-89 calculator to find properties of the quartic polynomials. The lesson includes detailed instructions along with screen shots of the graphing calculator display.
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Activity
MENSA Education & Research Foundation

Pi Day Fun!

For Teachers 6th - 8th Standards
In this multi-faceted introduction to pi, participants perform a bevy of pi-related activities. Ranging from measuring household items to singing pi songs and reading pi stories, this fun and non-intimidating resource serves to bring up...
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Unit Plan
Mathematics Vision Project

More Functions, More Features

For Teachers 10th - 12th Standards
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
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Lesson Plan
Willow Tree

Slope

For Students 8th - 11th Standards
Investigate the different types of slope using graphs and ordered pairs. Scholars use the slope formula to determine the slope of a line between two points. Includes examples with a slope of zero and with no slope. The lesson follows a...
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Lesson Plan
1
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NPR

This Isn't Right: Women Reform Leaders

For Students 9th - 12th Standards
The 20th century saw many new possibilities open up to women in America, thanks to many well-known female historical figures — and some women who are not as famous but who are equally accomplished. Learn about the women who contributed...
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Interactive
CK-12 Foundation

Cramer's Rule

For Students 10th - 12th Standards
Use matrices to solve systems of equations. The interactive introduces Cramer's Rule, using determinants of matrices to solve systems of equations. Color coding helps pupils place entries correctly from the system.
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Interactive
CK-12 Foundation

Pythagorean Theorem to Determine Distance: Neighborhood Map

For Students 8th - 12th Standards
Find the distance between various locations in a neighborhood. Scholars use the interactive to find distances between locations on a map. The map is overlaid onto a grid to provide coordinates for each location, and pupils apply...
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Interactive
CK-12 Foundation

Length of a Chord: Distance Across a Ferris Wheel

For Students 9th - 12th Standards
An interactive presents two friends on a ferris wheel with the task of finding the distance between the them. Pupils create the chord between the two friends and calculate its lengths using trigonometric ratios.
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Interactive
CK-12 Foundation

Angular Velocity: 200 Meter Dash

For Students 10th - 12th
Do curves slow runners down or help their speed? Pupils simulate a 200-meter dash to calculate the angular and linear velocity of a runner. They then determine whether the runner is faster around the curved section of the track or the...
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Instructional Video6:09
Corbett Maths

Density

For Students 7th - 12th Standards
A short video introduces the triangle that illustrates how to find any value given the other two in the density formula. Class members use the triangle to work several problems to find the mass, volume, or density of an object.
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Unit Plan
Radford University

Earthquake Problem

For Teachers 9th - 12th Standards
Shake up things in the classroom. The unit uses earthquakes to bring a real-life connection to finding arc lengths, logarithms, and equations of circles. Small groups determine whether particular towns would have felt an earthquake after...
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Unit Plan
NASA

Earth’s Energy Budget

For Teachers 9th - 12th Standards
Take the time and energy learn about Earth's energy budget. An engaging unit of four lessons focuses on the components that make up Earth's energy budget. Future scientists come up with a formula for the energy budget, then use software...
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AP Test Prep7:06
1
1
Flipped Math

Calculus AB/BC - Modeling Situations with Differential Equations

For Students 10th - 12th
Differentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...
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Lesson Plan
1
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Learning for Justice

Mary Church Terrell

For Teachers 6th - 12th Standards
Excerpts from an 1898 speech by civil rights activist Mary Church Terrell offers young scholars an opportunity to investigate how Black American women fought for civil rights long before Rosa Parks and the civil rights movement of the...
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Worksheet
Curated OER

Multivariable Optimization

For Students Higher Ed
In this multivariable optimization worksheet, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions. This four page...
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Worksheet
Curated OER

Complex Analysis: Cauchy-Reimann Equations

For Students Higher Ed
In this Cauchy-Riemann equation worksheet, students derive the Cauchy-Riemann equations by using the definition of the derivative function. This two-page worksheet contains seven problems.
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Worksheet
Curated OER

Challenge Discussion Sheet 10: Limits

For Students Higher Ed
In this challenge discussion sheet on limits, students evaluate limits, derive formulas for the derivative of an inverse function, differentiate functions and find the values of constants. This one-page worksheet contains five...
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Worksheet
Curated OER

Finding the Extrema Graphically and Symbolically

For Students Higher Ed
In this extrema worksheet, students use the first derivative test and the second derivative test to determine the local extrema. They identify the local maximum and global maximum. This eight-page worksheet contains detailed...
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Worksheet
Curated OER

Functions and Slopes

For Students 12th - Higher Ed
In this function worksheet, learners find the slope of a line tangent to a given graph, they derive formulas for the area and perimeter of a given right triangle, they graph functions, and compute the derivative of functions. This...
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Lesson Plan
Curated OER

Differentials

For Teachers 10th - 12th
Students investigate Differential equations using derivatives. In this calculus instructional activity, students solve problems of differential equations by taking the derivative and explaining the changes that occurred in the equation...
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Lesson Plan
Curated OER

Rating a Quarterback in Football: Statistics, Math, Ratings

For Teachers 6th - 12th
Students find out how football statistics are derived, compute quarterback ratings for themselves and interpret quarterback ratings in order to investigate what a player must do to improve ratings.

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