manual derivatives done using the definition 42 videos
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Writing a Good Definition
Geometry Geometry Building Blocks
How to write a good definition that does not have a counterexample.
definition counterexample classify quantify parallelogram -
Counterexample
Geometry Geometry Building Blocks
How to use a counterexample to prove a definition or conjecture incorrect.
counterexample definition conjecture -
Using a Protractor
Geometry Geometry Building Blocks
How to use a protractor to measure an angle.
protractor angle acute obtuse right -
Locus and Definition of a Circle and Sphere
Geometry Circles
How to define a circle and a sphere using the word locus.
locus set of points distance plane circle sphere given -
Using Sine to Calculate the Area of a Triangle
Geometry Basic Trigonometry
How to calculate the area of any triangle using two sides and an included angle.
area of a triangle sine -
Equation of a Circle
Geometry Pythagorean Theorem
How to derive the equation for a circle using the distance formula.
distance formula radius center circle -
Using the Pythagorean Theorem to find a Missing Hypotenuse
Geometry Pythagorean Theorem
How to calculate the hypotenuse in a right triangle given the lengths of the legs using the Pythagorean Theorem.
Pythagorean theorem leg hypotenuse right triangle -
Using the Pythagorean Theorem to find a Missing Leg
Geometry Pythagorean Theorem
How to use the Pythagorean Theorem to find a missing leg, given the length of the hypotenuse and a leg.
Pythagorean theorem leg hypotenuse right triangle -
Area of Triangles
Geometry Area
How to derive the area of a triangle formula using the rectangle area formula.
area triangles rectangles altitude -
Area of Trapezoids
Geometry Area
How to derive the area of a trapezoid formula using the area of a rectangle.
trapezoid parallelogram base height -
Distance Formula
Geometry Pythagorean Theorem
How to derive the equation for the distance between two points using the Pythagorean Theorem.
distance coordinate plane ordered pair segment -
Area of a Segment
Geometry Area
How to derive the area of a segment formula.
segment sector triangle area radius central angle shaded area -
Area of Regular Polygons
Geometry Area
How to derive the formula to calculate the area of a regular polygon.
area apothem side hexagon isosceles triangle perimeter equilateral equiangular -
Area of Circles
Geometry Area
How to derive the formula to calculate the area of a circle.
circle radius circumference area -
Area of a Sector
Geometry Area
How to derive the formula to calculate the area of a sector in a circle.
sector central angle intercepted arc circle radius area -
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 -
Polygon Angle Sum
Geometry Polygons
How to derive the formula to find the sum of angles in any polygon.
triangle angle sum diagonal polygon -
The Law of Cosines
Geometry Basic Trigonometry
How to define and use the law of cosines.
law of cosines ratios triangles -
Transformations and Isometries
Geometry Transformations
How to determine the types of transformations, the definition of isometry, and how to say and write a transformation's new image.
transformation isometry figure image dilation rotation translation reflection rigid transformation prime maps
