# Life of Fred High School Math Set 2 (2 books)

\$ 78.00

This set can be started with any student who has completed Life of Fred Beginning and Advanced Algebra or has completed Algebra 2 in another curriculum. This set could also be considered a College Prep set as it prepares the student for college level maths. After completing this set, the student is ready to go into the College Set.

This set includes:
Life of Fred: Geometry (Expanded Edition) (Sample pages)

In this course you will learn about...

• Non-Euclidean Geometry
• Attempts to prove the Parallel Postulate
• Nicolai Ivanovich Lobachevsky's geometry
• Consistent Mathematical theories
• Georg Friedrich Bernhard Riemann's geometry
• Geometries with only three points
• Points and Lines
• Attempts to prove the parallel postulate
• Collinear points
• Concurrent lines
• Coplanar lines
• Coordinates of a point
• Definition of when one point is between two other points
• Exterior Angles
• Indirect Lines
• Line segments
• Midpoint
• Parallel lines
• Perpendicular Lines
• Perpendicular Bisectors
• Postulates and theorems
• Skew lines
• Distance from a point to a Line
• Tangent and secant lines
• Theorems, propositions, lemmas, and corollaries
• Undefined terms
• Quadrilaterals
• Honors Problem of the century:
If two angle bisectors are congruent
when drawn to the opposite sides,
then the triangle is isosceles
• Intercepted segment
• Kite
• Midsegment of a triangle
• Parallelogram
• Rectangle
• Rhombus
• Square
• Trapezoid
• Solid Geometry
• Euler's theorem
• A line perpendicular to a plane
• Distance from a point to a plane
• Parallel and perpendicular planes
• Polyhedrons
• hexahedron (cube)
• tetrahedron
• Octahedron
• Icosahedron
• Dodecahderon
• Volume Formulas: cylinders, prisms,
cones, pyramids, spheres
• Cavalieri's Principle
• Lateral Surface Area
• Symbolic Logic
• Contrapositives
• If...then...statements
• Truth tables
• Triangles
• Acute and Obtuse Triangles
• Adjacent, opposite, hypotenuse
• Altitudes
• Angle bisector theorem
• Definition of a triangle
• Drawing auxiliary lines
• equilateral and equiangular triangles
• Hypotenuse-leg theorem
• Isosceles triangle theorem
• Medians
• Pons Asinorum
• Proof that a right angle is congruent
to an obtuse angle using euclidean geometry
• Proportions
• Right Triangles
• Scalene Triangles
• Similar triangles
• SSS, SAS, ASA postulates
• Angles
• Acute, obtuse, and right angles
• Alternate interior angles and corresponding angles
• Congruent angles
• Degrees, minutes, and seconds
• Euclid's The Elements
• Exterior angles
• Inscribed angle theorem
• Linear pairs
• Rays
• Supplementary angles
• Two proofs of the exterior angle theorem
• Vertical angles
• Area
• Area and volume formulas
• Heron's Formula
• Parallelograms
• Perimeter
• Polygons
• Pythagorean Theorem
• Rectangles, Rhombuses, and Squares
• Trapezoids
• Triangle inequality
• Triangles
• Circles
• Center, radius, chord, diameter, secant, tangent
• Concentric circles
• Central Angles
• Circumference
• Arcs
• Inscribed angles
• Proof by Cases
• Sectors
• Constructions
• Compass and straightedge
• Rules of the Game
• Rusty compass constructions
• Golden Rectangles and golden ratio
• Trisecting an angle and squaring a circle
• Incenter and circumcenter of a triangle
• Collapsible compass constructions
• 46 popular constructions
• Coordinate Geometry
• Analytic geometry
• Cartesian/rectangular/orthogonal coordinate system
• Axes, origins, and quadrants
• slope
• distance formula
• midpoint formula
• proofs using analytic geometry
• Flawless (Modern) Geometry
• Proof that every triangle is isosceles
• Proof that an obtuse angle is congruent to a right angle
• 19-year-old Robert L Moore's modern geometry
• Geometry in Dimensions
• Geometry in Four Dimensions
• Geometry in high dimensions
• Complete chart up to the 14th dimension
• Stereochemistry and homochirality
• Five manipulations of proportions
• tesseracts and hypertesseracts
• Polygons
• Definition of a polygon
• Golden rectangles
• Proofs
• Proof of a theorem in paragraph form
• Hypothesis and conclusion
• Indirect proofs
• Hunch, hypothesis, theory, and law
• Proofs of all the area formulas given
only the area of a square (This is hard.
Most books start with the area of
a triangle as given.)
• Proofs of the Pythagorean theorem
• Definition of a limit of a function
• Inductive and deductive reasoning
• Proofs using geometry

Life of Fred: Trigonometry (Expanded Edition) (Sample Pages)

Covers all of trigonometry including...

• Sines
• Cosines and Tangents
• Graphing
• Significant Digits
• Trig Functions of Any Angle
• Trig Identities
• Graphing a s in (bx + c)
• Radian Measurement
• Conditional Trig Equations
• Functions of Two Angles
• Oblique Triangles
• Inverse Trig Functions
• Polar Coordinates
• Polar Form of Complex Numbers
• Preview of all of Calculus