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Calculus AB/BC - Introduction to Related Rates
Here's a video for those who can relate to being confused about related rates. The fourth of eight lessons in Unit 4 - Contextual Applications looks at related rates. Individuals learn to write equations that show a relationship between...
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Calculus AB/BC - Approximating a Function's Value Using Local Linearity
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...
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Calculus AB/BC - L'Hopital's Rule
Direct substitution fails. Now what? The seventh of eight videos in Unit 4 - Contextual Applications looks at L'Hopital's rule. Scholars learn to take the derivative of both the numerator and denominator of a function when substitution...
DiscoverE
DiscoverE Challenge: Critical Load
Take a load off .. and put the weight on a house of cards. Scholars learn about civil engineering and critical loads by building the sturdiest house possible out of a dozen playing cards. They conduct tests by placing pennies or other...
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DiscoverE Challenge: Tallest Cup Tower
Dream big and build tall. Scholars build the tallest tower possible out of plastic or paper cups. They apply the engineering design process to refine their designs and see if they can make their towers even taller.
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DiscoverE Challenge: Pen Factory
Manufacture a great lesson on industrial manufacturing. A fun resource has learners use the production of pens to consider how assembly lines work. They write out a set of instructions for assembling a pen, test it out, then determine if...
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Everyday Engineering: Water Pollution Clean Up
Water, water, everywhere, but pollution is a major problem. Scholars design a filtration device or process that removes dirt and other particles from water. They use various household objects such as marbles, cotton balls, or coffee...
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Everyday Engineering: Tennis, Anyone?
Take a swing at a fun activity. Pupils first watch a video that introduces the concept of elasticity in association with tennis rackets. They then design their own rackets and build them out of available materials.
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Everyday Engineering: Build an Earthquake Resistant Structure
Shake, rattle, and learn! Future engineers build structures out of toothpicks or spaghetti sticks, using marshmallows as connectors. They then use a homemade shake table to test the sturdiness of their creations.
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Everyday Engineering: Windy City Tower
A little wind shouldn't hurt a building. Given three sheets of paper and six feet of tape, scholars create a structure that can withstand wind and hold up a weight. They conduct tests using a fan and decide on any improvements to make...
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At Home: Safe Landing Activity
A parachute is probably a good idea. An engaging lesson has pupils brainstorm ways to slow the descent of a falling object to minimize the impact when it lands. They decide on a design, build a prototype, test it out, and then make...
DiscoverE
At Home: Keep a Cube Activity
Let cooler heads prevail. Future engineers first learn about heat transfer and insulation. They then design and build a contraption that will prevent an ice cube from melting for as long as possible.
DiscoverE
Everyday Engineering: Foil Boats
Keep one's dream of becoming an engineer afloat. Learners apply the engineering design process to build a boat out of aluminum foil. They start with a square boat, then consider whether boats of different shapes would be able to hold...
Flipped Math
Calculus AB/BC - Exploring Accumulation of Change
Add up area to find total change. Pupils learn what it means to find the area under a curve and how to calculate it geometrically. They first find the accumulation of change given a rate of change function. Scholars then apply that...
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Calculus AB/BC - Approximating Areas with Riemann Sums
There are several ways to estimate the area if the curve does not create nice geometric figures. The presenter introduces the idea of using areas of rectangles to estimate the area under the curve. Pupils use four types of Riemann Sums,...
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Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions
Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...
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Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
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Calculus AB/BC - Exploring Types of Discontinuities
Continue one's studies by studying discontinuities. The 11th of 18 lessons in Unit 1 - Limits and Continuity first describes the different types of discontinuities. By watching a video, pupils learn to algebraically determine the...
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Calculus AB/BC - Defining Continuity at a Point
Learning about continuity is a continuous process. An educational video first shows individuals the definition of continuity at a point. They see several examples on the topic and then investigate how to identify the types of...
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Calculus AB/BC - Selecting Techniques for Antidifferentiation
Here's the antidote to ignorance on antiderivatives. Pupils try a set of problems that require finding the antiderivative. They choose from different techniques they already know to determine the indefinite integral or the definite...
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Calculus AB/BC - Integrating Functions Using Long Division and Completing the Square
With just a little work, integrals can become much easier. The 11th of 16 installments in Unit 6 - Integration has viewers watch a video to learn different ways to rewrite an integrand before determining the integral. They use polynomial...
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Calculus AB/BC - Integrating Using Substitution
U is for u-substitution. Viewers of an instructional video learn how to apply u-substitution to determine integrals for more complex functions. They first find indefinite integrals, then move on to definite integrals.
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Calculus AB/BC - Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
Calculus classes definitely need to learn about indefinite integrals. Individuals watch an informative video to learn the antiderivative rules for exponential, logarithmic, trigonometric, and inverse trigonometric functions. To solidify...
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Calculus AB/BC - The Fundamental Theorem of Calculus and Definite Integrals
Learning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...