# area between two curves   140 videos

• #### Proportional Segments Between Parallel Lines

##### GeometrySimilarity

How to prove two triangles are similar using a line parallel to a base.

parallel lines triangles similar triangles proportion
• #### Area and Perimeter of Triangles

##### Pre-AlgebraIntroductory Geometry

Understanding why the area of a triangle is 1/2 base times height

• #### Families of Polar Curves: Circles, Cardiods, and Limacon

##### PrecalculusPolar Coordinates and Complex Numbers

How to graph the special cases of the family r = a + b cos (theta) when a or b = 0.

polar graph polar equation polar curve circles center radius completing the square
• #### Solving Formulas

##### GeometryArea

How to strategize about solving formulas for variables; how to solve the area of a rectangle formula for base and height; how to solve the area of a triangle formula for base and for height.

formulas isolating a variable rectangle area triangle area trapezoid area regular polygon area
• #### Similarity and Volume Ratios

##### GeometrySimilarity

How to identify if two solids are similar and how to convert 1D ratios to surface area and volume ratios.

similarity volume ratios surface area
• #### Curve Sketching with Derivatives

##### CalculusApplications of the Derivative

How to evaluate the limit of a function using continuity.

• #### Pythagorean Theorem Proofs

##### GeometryPythagorean Theorem

How to prove the Pythagorean Theorem using Algebra to show the area of the smaller square plus the area of four triangles is equal to the area of the larger square.

right triangle area of a square binomial squared area of a triangle side leg hypotenuse
• #### Pythagorean Theorem Proofs

##### TrigonometryPythagorean Theorem

How to prove the Pythagorean Theorem using Algebra to show the area of the smaller square plus the area of four triangles is equal to the area of the larger square.

right triangle area of a square binomial squared area of a triangle side leg hypotenuse
• #### Slope

##### Algebra 2Graphs of Linear Equations

How to find the slope between two points.

slope formula slope
• #### Average Value of a Function

##### CalculusThe Definite Integral

How to find the average value of a function over an interval [a,b].

average value antidifferentiation limits of integration functions area under a curve

• #### Distance Formula

##### GeometryPythagorean Theorem

How to derive the equation for the distance between two points using the Pythagorean Theorem.

distance coordinate plane ordered pair segment
• #### Scatterplots and Correlations

##### AlgebraIntroduction to Statistics

How to identify positive correlations, negative correlations, or no correlation between two variables.

scatterplot correlation trend line line of best fit
• #### Distance Formula

##### TrigonometryPythagorean Theorem

How to derive the equation for the distance between two points using the Pythagorean Theorem.

distance coordinate plane ordered pair segment
• #### Volume of Cones

##### GeometryVolume

How to compare the volume of a cone and a cylinder and how to calculate the volume of a cone given the radius and height.

volume base area height circle area

• #### Find an Equation for the Sine or Cosine Wave

##### PrecalculusTrigonometric Functions

How to identify the graph of a stretched cosine curve.

sine cosine period amplitude intercepts turning points
• #### Graphing Polar Equations

##### PrecalculusPolar Coordinates and Complex Numbers

How to sketch a simple polar curve by plotting points.

polar graph polar equation
• #### Find an Equation for the Sine or Cosine Wave

##### TrigonometryTrigonometric Functions

How to identify the graph of a stretched cosine curve.

sine cosine period amplitude intercepts turning points