AP Test Prep19:26
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#### Calculus AB/BC - Determining Concavity of Functions over Their Domains

For Students 10th - 12th
Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...
AP Test Prep14:02
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Flipped Math

#### Calculus AB/BC - Derivatives of tan(x), cot(x), sec(x), and csc(x)

For Students 10th - 12th
Continue to differentiate the rest of the trigonometric functions. Pupils see the derivatives of the other four trigonometric functions and begin to memorize the rules. Learners see examples that show that the calculus portion of a...
AP Test Prep9:36
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Flipped Math

#### Calculus AB/BC - The Quotient Rule

For Students 10th - 12th
Some differentiation rules are just better to memorize. The ninth lesson in a unit of 11 presents the quotient rule to pupils for them to memorize. Learners use the quotient rule to determine the derivative of two quotients after seeing...
AP Test Prep11:41
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Flipped Math

#### Calculus AB/BC - The Product Rule

For Students 10th - 12th
There's more to derivatives of multiplication than simply the product of the derivatives. A helpful video gives learners the product rule of finding the derivative of the product of two functions. Pupils find the derivatives of functions...
AP Test Prep10:10
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Flipped Math

#### Calculus AB/BC - Derivatives of cos(x), sin(x), e^x, and ln(x)

For Students 10th - 12th
The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...
AP Test Prep15:40
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Flipped Math

#### Calculus AB/BC - Derivative Rules: Constant, Sum, Difference, and â€‹Constant Multiple

For Students 10th - 12th
Use derivatives to find equations of lines. Pupils learn more rules to use as shortcuts to find derivatives. Using the rules, they find the equations of the tangent line and the normal line at a given point. Scholars then apply the new...
AP Test Prep12:39
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Flipped Math

#### Calculus AB/BC - The Power Rule

For Students 10th - 12th
There has to be a quicker way. Pupils learn the power rule that allows for a shortcut to take the derivative of terms to a power. Using the newly found rule, scholars find the slope of the tangent line to a function at a given x value....
AP Test Prep8:02
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Flipped Math

#### Calculus AB/BC - Connecting Differentiability and Continuity

For Students 10th - 12th
Despite what you thought, you can differentiate between continuity and differentiability. Using a short lesson, pupils learn how differentiability and continuity relate to each other. It provides three descriptions of when a function is...
AP Test Prep9:15
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Flipped Math

#### Calculus AB/BC - Estimating Derivatives of a Function at a Point

For Students 10th - 12th
It seems like it should be about three. Pupils learn to get an estimate of the derivative of a function at a point by using the derivative functionality of their graphing calculators. They take that information to determine the equation...
AP Test Prep18:18
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Flipped Math

#### Calculus AB/BC - Defining the Derivative of a Function and Using Derivative Notation

For Students 10th - 12th
Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...
AP Test Prep18:38
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Flipped Math

#### Calculus AB/BC - Average and Instantaneous Rate of Change

For Students 10th - 12th
Ramp up the average rate of changeâ€”instantly. Learners use their knowledge of the formula to find the average rate of change to find the instantaneous rate of change. The presenter shows pupils an interactive that demonstrates finding...
Instructional Video17:07
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#### More Probability

For Students 9th - 12th Standards
Multiply the amount of probability using addition. Pupils use probabilities to make predictions in problems. They find shortcuts to find probabilities instead of listing the entire sample space. The learners then use the multiplication...
Instructional Video17:26
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Flipped Math

#### Introduction to Probability

For Students 9th - 12th
Chances are high that the class will probably like the lesson. Pupils view an introduction to probability and use the information to find probabilities of simple events based on the sample space. Scholars then use their knowledge of area...
Instructional Video13:36
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Flipped Math

#### Unit 11 Review: Circles

For Students 9th - 12th Standards
Solve problems around a circle. Pupils watch a video that shows how to apply concepts about circles and related angles and segments to find solutions to word problems. Learners then review the different concepts from the unit in...
Instructional Video16:21
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Flipped Math

#### Secants and Tangents

For Students 9th - 12th Standards
Put the vertex in, put the vertex out. Pupils explore theorems about the relationships of lengths of segments and angles of line segments that intersect inside or outside the circle. Learners use the theorems to solve problems involving...
Instructional Video19:21
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#### Intercepted Arcs

For Students 9th - 12th Standards
Intercept the class's learning on circles. Pupils learn the relationship between intercepted arcs and inscribed angles. The scholars use that information to find the relationship of angles in an inscribed quadrilateral and an angle...
Instructional Video19:13
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Flipped Math

#### Chords and Arcs

For Students 9th - 12th Standards
Congruence breeds congruence. Pupils learn three more circle theorems dealing with congruent chords and arcs. Learners use the theorems to find the measures of chords and arcs in circles by applying previously learned concepts in the...
Instructional Video14:27
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Flipped Math

#### Tangents to Circles

For Students 9th - 12th Standards
Touch a circle once. Individuals watch a video and learn two theorems related to tangents and circles. The pupils then apply the theorems to find missing angle measures and lengths in figures. At the end, they practice their skills on...
Instructional Video16:02
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Flipped Math

#### Unit 9 Review: Area of Polygons

For Students 9th - 12th Standards
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
Instructional Video15:48
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Flipped Math

#### Sectors and Segments

For Students 9th - 12th Standards
It's a piece of pizza! Pupils learn about a sector of a circle as a slice of the circle and determine how to find its area. Scholars continue to find out how to calculate the segment of a circle based on the sector's area. At the end,...
Instructional Video21:05
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Flipped Math

#### Circles and Arc Lengths

For Students 9th - 12th Standards
Discuss all things round and round. Pupils review finding area and the circumference of circles and use them to solve problems. Next, they learn about central angles and their relationships to measures of arcs. Learners then find out how...
Instructional Video18:24
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Flipped Math

#### Area of Trapezoids, Kites, and Rhombi

For Students 9th - 12th
Everything will add up. Learners find the areas of trapezoids, kites, and rhombi by using the area formulas. Scholars find any missing information needed to use within the formula and continue to use prior knowledge and practice...
Instructional Video16:10
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#### Parallelograms and Triangles

For Students 9th - 12th Standards
Expand area problems to incorporate prior knowledge. Pupils begin by reviewing the formulas for finding the area of parallelograms and triangles. The scholars apply previous learning of trigonometric ratios and the Pythagorean Theorem to...
Instructional Video19:32
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Flipped Math

#### Rotations

For Students 9th - 12th Standards
Turn the class around. Scholars define rotations of multiples of 90 degrees and create algebraic mappings for them. After an introduction to symmetry, pupils determine which letters of the alphabet have rotational and reflectional...