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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 - 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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Literal Equations
All the variables make it look harder. Individuals find out that solving a formula for a variable on interest is no different than solving an equation. Pupils participate during the video presentation by pausing the video and working...
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Rational Equations
Take a rational look at solving equations. Learners watch a video presentation on solving simple rational equations that shows solving the equation along with finding excluded values. Viewers then practice the skill with the worksheets...
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Solve Inequalities
One solves inequalities just like equations ... well, almost. Pupils watch a video lecture on solving linear inequalities. They practice solving inequalities, check their answers with the video, and continue to practice the concept with...
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Solve Equations
Solutions for linear equations create solution sets. Pupils watch a video on solving multi-step linear equations. They then solve equations with variables on both sides of the equal sign, combining like terms and the distributive...
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True False Equations
Determine what makes the equation true. Learners view an instruction video on determining what values make an algebraic equation true. The pupils describe the solution set using three different methods: verbally, set notation, and...
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Multiply Polynomials
Do not let the distributive property foil you. Individuals hear about the FOIL method to multiply two binomials and how it is nothing more than the distributive property. Pupils learn two methods of multiplying any two polynomials. They...
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Algebraic Properties
Properly apply properties to arrive at equivalent expressions. Pupils review the main properties of equivalence with the guidance from the video. They take the knowledge from the video and apply the properties within the instruction and...
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Modeling with Graphs
Create a graph for anything in the world. Pupils continue to work with graphs that model situations. The learners analyze different graphs to answer questions about the scenario along with finding equations of graphs. Scholars use...
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Add and Subtract Polynomials
Adding and subtracting polynomials is as easy as adding like terms. Pupils watch a video introducing polynomials and how to use a known procedure to add and subtract the polynomials. Class members work a few problems and check them...
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Create and Analyze Graphs
Model the world with graphs. Pupils watch and participate in creating graphs to model real-world situations. The presenters stress the importance of a consistent scale and proper labels for the graphs along with identification of the...
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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 - 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...
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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 - Solving Related Rates Problems
A solution to a lack of resources on related rates awaits. Viewers of an educational video learn how to solve related rates problems. They build on their prior experience of related rates to write equations for contextual situations,...
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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 - Rates of Change in Applied Contexts Other Than Motion
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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Calculus AB/BC - Straight-Line Motion: Connecting Position, Velocity, and Acceleration
Move the video on motion to the front of the line. The second of eight lessons in Unit 4 - Contextual Applications looks at straight-line motion. Scholars learn how position, velocity, and acceleration are related by derivatives before...
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Calculus AB/BC - Interpreting the Derivative in Context
Put math in a real-life context to increase connections to the concept. Pupils view a short video that first reviews the connection between derivatives and rates of change. They learn how to interpret the derivative in contextual...
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Calculus AB/BC - Calculating Higher-Order Derivatives
Derivatives are so fun that sometimes one wants to take the derivative multiple times. The sixth of seven installments in Unit 3 - Differentiation focuses on finding higher-order derivatives. After learning about the notation, scholars...
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Calculus AB/BC - Selecting Procedures for Derivatives
Don't get lost trying to memorize all those derivative rules. Scholars review the different methods at their disposal to determine derivatives from Units 2 and 3. They fill out a graphic organizer and then complete a set of practice...
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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 - 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,...