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Description
Life of Fred High School Math Set 2 (2 books)825Life of Fred won't be shipped until Aug. 25, 2020. 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)
现在是预购期间，没有现货。8月25日发货。Life of Fred won't be shipped until Aug. 25, 2020.
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
- Honors Problem of the century:
- 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
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4.5 ★★★★★
Based on 13 reviews
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Product Reviews
★★★★★ 3
Slightly repetitive but I did love some things
Format: Kindle
I love this type of story. And omegaverse is one of my all time favorite genres. But there are a few things that pulled me out of my enjoyment while I was reading. It was repetitive at times as well as struggled with telling not showing. So we didn’t always feel like we were experiencing things with the main character. There were also some plot holes but they may still be answered in part 2.
Now this isn’t to be said I didn’t enjoy parts of the story. I loved the almost instant love between Mila and Oliver. And how he started changing around her.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on February 15, 2024
★★★★★ 5
delightful read
Format: Kindle
What a delightful read. The characters are awesome, the plot was so good, I loved it. I was intrigued and it kept me wanting more. Told in multiple pov, the book sucks you in and doesn’t let go. I cannot wait to read the next book.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on January 30, 2025
★★★★★ 4
not bad
Format: Kindle
I loved the plot of this book. The characters just didn’t have a lot of depth. The connections and “love” just weren’t communicated very well in the writing. The author didn’t write the sweet psycho trope very well at all either. Lachlan was just a mess of a character.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on November 17, 2023
★★★★★ 5
A Beta Worth Rooting For
Format: Kindle
In Spare, Violet Fox flips the omegaverse on its head, giving us a Beta heroine determined to make her mark. Joining the Beta Trials to support her sick father, she's thrown into a pack that doesn't want her, especially the possessive Alphas.
But here's the twist: their sweet Omega turns out to be her scent match. Cue the angst, forbidden tension, and a slow-burn romance that will make your heart ache in the best way.
Violet Fox delivers an emotional, refreshing take on the genre, proving Betas aren't "spares." They're stars.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on January 10, 2025
★★★★★ 5
Beta, Alpha, Omega oh my!
Format: Kindle
Omegas are precious and given to Alphas & their packs... but the Betas want in too. To this end, the Beta government is rolling out its trial of assigning a Beta to each Alpha-Omega pack. But forcing a Beta into a pack where they are not wanted will not end well... Of course, no one expected the Omega to fall for the assigned Beta. Great read and cliffhanger
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on February 15, 2025
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