maximum height   16 videos

• Finding the Maximum or Minimum of a Quadratic

How to use the shape of a parabola to find a maximum or minimum.

maximum max minimum min vertex quadratic
• Finding Maximum and Minimum Values

PrecalculusPolynomial and Rational Functions

How we define optimization problems, and what it means to solve them.

optimization problems quadratic functions parabola vertex
• 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
• Area of Trapezoids

GeometryArea

How to derive the area of a trapezoid formula using the area of a rectangle.

trapezoid parallelogram base height
• The First Derivative Test for Relative Maximum and Minimum

CalculusApplications of the Derivative

How to use an algebraic approach to find one-sided limits of a rational function, and how these limits can be used to find a vertical asymptote.

• The Second Derivative Test for Relative Maximum and Minimum

CalculusApplications of the Derivative

How to show that polynomial functions are continuous functions.

• Area of Parallelograms

GeometryArea

How to find the area of any parallelogram using rectangle area formulas.

area of rectangles base times height
• Indirect Measurement

GeometrySimilarity

How to use similar triangles to measure the height of objects.

indirect measurement similar triangles measurement
• Pascal's Principle

PhysicsSolids, Liquids and Gases

In a uniform fluid, pressure depends only on height.

pascal's principle pressure

How to approach word problems that involve quadratic equations.

projectile height geometry word problem vertex
• Volume of Pyramids

GeometryVolume

How to find the volume of any pyramid.

volume base area height pyramid regular polygon
• 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
• Area and Perimeter of Triangles

Pre-AlgebraIntroductory Geometry

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

• Volume of Prisms

GeometryVolume

How to find the volume of any prism, right or oblique using a general formula.

volume base area height trapezoid regular polygon oblique prism
• Volume of Cylinders

GeometryVolume

How to calculate the volume of any cylinder.

volume base area height circle area rectangular prism
• Average Velocity

CalculusThe Derivative

How to compute the average velocity of an object moving in one dimension.

average velocity position height time change in position change in time