Curated OER
Senior Analysis: Review Functions and Tangents
In this function worksheet, learners find the equation of a line tangent to a given function. They identify the derivative of functions, This one-page worksheet contains 11 multi-step problems. Answers are provided on page two of the...
Curated OER
Connection to Language Arts-Hidden Meanings
In this etymology worksheet, students read about the history of naming words and how words are named. They think critically by answering three questions about the meaning of words, etymologies and the derivation of words.
Curated OER
The Pythagorean Theorem, the Distance Formula, and Slope
Learners explore the concept of the Pythagorean Theorem. In this Pythagorean Theorem activity, students derive the distance formula and slope of a line from the Pythagorean Theorem.
Curated OER
Word Formation
For this word formation worksheet, students choose the kind of words that the bold words are and fill in the blanks with words derived from other words. Students complete 35 problems.
Curated OER
Unit Circle
Students investigate the different properties of a unit circle. In this geometry lesson, students identify the six different values of trigonometric functions. They solve trigonometric equations using values derived from the unit circle.
Curated OER
Velocity, Position, Distance
Students solve problems involving motion and distance. In this calculus instructional activity, students use to derivative to calculate the velocity-of a function. They observe objects moving along a straight line.
Curated OER
What is an Antiderivative? Slope Fields
Students take the derivative of a function. In this calculus lesson, students define slope fields and what they are used for. They relate slope fields to the real world.
Curated OER
The Louis Vuitton Project, using 3rd degree equations
Students model three-dimensional objects using cubes. For this geometry lesson, students calculate the volume and derived the amount mathematically. They use different objects to create two and three-dimensional objects.
Curated OER
Amazing Consistent Ratios
Students derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
Curated OER
polyhedron
Students examine the different types of polygons and their characteristics. In this polyhedrons instructional activity, students discuss the derivations of specific models of polyhedrons. Students work in pairs to make a copy...
Curated OER
Worksheet 17-Fall 1995
For this math worksheet, students find y' both implicitly and explicitly for given relations. They find y' using implicit differentiation for a given relation. Students prove the Pythagorean Theorem
Curated OER
Matter and Motion 3
In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...
College Board
Differentiability of Piecewise Defined Functions
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®...
College Board
Frozen in Time
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...
Curated OER
The Apple Orchard Problem
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
Curated OER
Quartic Inflection
Learners use their TI-89 calculator to find properties of the quartic polynomials. The lesson plan includes detailed instructions along with screen shots of the graphing calculator display.
MENSA Education & Research Foundation
Pi Day Fun!
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...
Mathematics Vision Project
More Functions, More Features
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...
Willow Tree
Slope
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...
NPR
This Isn't Right: Women Reform Leaders
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...
CK-12 Foundation
Cramer's Rule
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.
CK-12 Foundation
Pythagorean Theorem to Determine Distance: Neighborhood Map
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...
CK-12 Foundation
Length of a Chord: Distance Across a Ferris Wheel
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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