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Parallelogram Properties
GeometryPolygons
How to identify all of the special properties of parallelograms and use them to solve problems.
opposite sides parallel opposite angles same side interior angles diagonals bisect consecutive angles rhombus rectangle square -
Types of Triangles
GeometryGeometry Building Blocks
How to classify a triangle based on its side lengths and angle measures.
equiangular equilateral isosceles right acute obtuse triangles -
Special Isosceles Triangle Properties
GeometryTriangles
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
isosceles triangle angle bisector altitude median -
Using Sine to Calculate the Area of a Triangle
GeometryBasic Trigonometry
How to calculate the area of any triangle using two sides and an included angle.
area of a triangle sine -
Solving Equations- two variable terms
Pre-AlgebraSolving Equations and Inequalities
Simplify each side of an equation before solving with two variable terms
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Solving a Logarithmic Equation with Multiple Logs
Algebra 2Inverse, Exponential and Logarithmic Functions
How to solve a logarithmic equation by condensing one, or both, sides.
log equation logarithmic equation logarithmic form exponential form condense -
Using Sine to Calculate the Area of a Triangle
TrigonometryBasic Trigonometry
How to calculate the area of any triangle using two sides and an included angle.
area of a triangle sine -
Solving a Logarithmic Equation with Multiple Logs
PrecalculusExponential and Logarithmic Functions
How to solve a logarithmic equation by condensing one, or both, sides.
log equation logarithmic equation logarithmic form exponential form condense -
Using Sine to Calculate the Area of a Triangle
PrecalculusBasic Trigonometry
How to calculate the area of any triangle using two sides and an included angle.
area of a triangle sine -
Relative Maxima and Minima
CalculusApplications of the Derivative
How to use one-sided limits to find a vertical asymptote.
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Constructing Altitudes
GeometryConstructions
How to define an altitude and draw them on acute, right, and obtuse triangles.
altitudes perpendicular segment vertex opposite side obtuse acute right triangles -
Rhombus Properties
GeometryPolygons
How to define a rhombus and compare it to a square and rectangle.
rhombus congruent sides parallelogram angle bisectors perpendicular bisectors rectangles diagonals -
Area of Regular Polygons
GeometryArea
How to derive the formula to calculate the area of a regular polygon.
area apothem side hexagon isosceles triangle perimeter equilateral equiangular -
Properties of Similar Polygons
GeometrySimilarity
How to identify if two figures are similar.
similar figures corresponding angles congruence corresponding sides proportional -
Area of Kites and Rhombuses
GeometryArea
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 -
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 -
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.