shaded area 45 videos

Approximating Area Using Rectangles
Calculus The Definite Integral
How to approximate the area under a curve using rectangles.
approximating area under a curve left hand sums right hand sums limits 
Area of Kites and Rhombuses
Geometry Area
How to derive the area formula of a kite based on the rectangle formula; how to calculate the area of a rectangle using diagonal lengths.
kite area diagonals consecutive sides vertex angle non vertex angle bisect perpendicular rhombus 
Area and Perimeter of Circles
PreAlgebra Introductory Geometry
Vocabulary and formulas for the area of a circle

Area With the Cross Product
Precalculus Systems of Linear Equations and Matrices
How to show that the magnitude of the cross product of two vectors gives the area of the parallelogram determined by those two vectors.
cross product magnitude of vectors dot product angle between vectors area parallelogram 
Regions Between Circles and Squares
Geometry Area
How to calculate the area between a square and an inscribed circle.
shaded region square circle radius 
Area and Perimeter of Rectangles
PreAlgebra Introductory Geometry
Overview of area and perimeter formulas for parallelograms and rectangles

Volume and Surface Area
PreAlgebra Introductory Geometry
Vocabulary and formulas for surface area and volume of common solids

Area and Perimeter of Triangles
PreAlgebra Introductory Geometry
Understanding why the area of a triangle is 1/2 base times height

Solving Formulas
Geometry Area
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 
Pythagorean Theorem Proofs
Geometry Pythagorean 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
Trigonometry Pythagorean 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 
Similarity and Volume Ratios
Geometry Similarity
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 
Volume of Cones
Geometry Volume
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 
Volume of Cylinders
Geometry Volume
How to calculate the volume of any cylinder.
volume base area height circle area rectangular prism 
Graphing 2 Variable Inequalities
Algebra Solving and Graphing Inequalities
How to graph inequalities in the xy plane.
inequality y = mx+b Cartesian Coordinate plane shading 
Graphing a Quadratic Inequality
Algebra 2 Quadratic Equations and Inequalities
How to graph a quadratic inequality.
parabola inequality shading less than greater than test point 
Graphing 2 Variable Inequalities
Precalculus Linear Equations and Inequalities
How to graph inequalities in the xy plane.
inequality y = mx+b Cartesian Coordinate plane shading 
Volume of Pyramids
Geometry Volume
How to find the volume of any pyramid.
volume base area height pyramid regular polygon