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Employ an online or offline tutor at your own risk from
AU:
tutorfinder.com.au
CDN :
findatutor.ca
CDN: .i-tutor.ca
CDN: Montreal
Tutors
NZ: findatutor.co.nz
UK:
tutorhunt.com
UK: tutors4me.co.uk
USA: wiziq.com
USA: ziizoo.com
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YOU are better than YOU think. Show
yourself how:
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Logic
Mastery
Amazing, Amusing, Amorous, Delicious, Delightful,
Edifying, Strengthening Elixir.
It eases work & learning difficulties Makes the hard easier. Opens
eyes. Leads to greater precision.
in reading and writing
Do not leave here without it - Logic
mastery will develops critical thinking, improve reading and
writing, and give a firmer base for work and studies at many levels. Good
luck.
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Caution: Site advice is
approximately correct, for some circumstances, not all. Site How-TOs
are logically developed, but not tried and tested. That leaves
room for thought and refinement.. |
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After logic,
(a) continue reading Three
Skills for Algebra, chapters 8 to 14 and do so alongside site
area on solving
linear2007 Equations ; or (b) see this calculus
starter lesson and Volume 3, Why
Slopes & More Math, chapters 2 to 6;
For online automated help in senior high
school maths & calculus, visit quickmath.com
For Automatic Calculus and Algebra Help with derivatives, integrals,
graphs, linear equations, matrix algebra, visit calc101.com
With overlap, each site quickmath
& calc101offers a different range
of services, some free, some not, all based on webmathematica. Good luck.
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Explore collaborative whiteboards from groupboard,
twiddla or
scriblink.
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Side Angle Side (SAS)Method for
Triangle Construction or Duplication
Given the length of two sides and the included angle, a duplicate can be
created.

Four Variations: Given two lines that meet a D forming an angle BAC
between them, the longer side may issue from D on one line or other. That gives
two triangles. Given those two triangles, the same construction options apply to
a vertically opposite angle at D, also equal in measure to angle BAC. That gives
two more triangles.
SAS Isometry Assumption (and Criteria)
If there is a correspondence between the vertices such that two sides and
the included angle are isometric then the triangles are isometric.
Moreover, both could be built or rebuilt by the same construction SAS
method, and each may be moved by a sequence of translations, rotations
and/or reflections, so that sides and vertices coincide with the other.
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www.whyslopes.com
4. Euclidean Geometry
Back Next
Area Intro Correspondence Isometry Side-Side-Side Side Angle Side Angle-Side-Angle Isoceles Right Bisector Construction, Etc. Perpendicular - Point to Line SSS Failure SAS Failure ASA Failure Parallel Lines Angle Sum Similarity Right Triangle Similarity Trig or Similarity Parallelograms Kites From Triangles Duplication Parallelogram from Triangle Duplication Addition of points in the plane Multiplication of Points in the Plane Distributive Law, Step I Distributive Law, Step II Distributive Law, Step III
Above Average Students in Geometry may
enjoy the site geometric
introduction of complex numbers and the wordy volume 1A, Pattern
Based Reason.
For algebra, logic starter lessons, see
Volume 2, chapters 1 to 12,
plus 14, 16 and 17.
Analytic Geometry, Functions & Trig
(FN) What are Functions?
(FN) Functions - More
SZM: Sign, Zero, Monoticity
(L) Lines Summary
(P) Polynomials (*,+,-)
(Q) Quadratics
(D) Simplify Square Roots
(T) Unit Circle Trig
Conic Sections
More For Analytic Geometry:
Real Numbers
Say More Positive
Linear Inequalities
Triangle Inequality
Absolute Value |x|
|x| Eq'ns & Inequalities
Rectangular Coords
Shortest Path
Distance Formulas
Add & Multiply Points
Polar Coordinates
Radians
(A) Vectors
(A) Coordinate Arithmetic
(A) Navigation on Maps
(A) Addition Geometrically
(A) Rotation
(PT) Translations
(PT) Dilatations
PT: Rotations
Easy Consequences of this (newest) Complex
Number. Starter Lesson follow below to provide an
alternate development of HS or college maths.
Vec & Cmplx No Applet
B2 C. Conjugates
B3 Pythagoras
B4 Distance
B5 Rt Triangle Similarity
B6 Trig., Functions
B7 Dot & Cross Products
B8 Cosine Law
B9 Exponential & cis fns
B10 Easy Trig Identities
B11 Set Viewpoint
Lesson Plans and lessons
Secondary I - fractions
& allied concepts (decimals, percentages)
Secondary
II - Algebra (arithmetic versus algebraic methods, backward use of
formulas and proportionality equations)
Secondary
IV - Functions to Trig & Statistics
Calculus
Intro
Algebra
Lesson Notes - All levels
Great_Expectations: If
you can learn to follow a multi-step methods in any subject precisely, you can
do so in other subjects, as well.
Good news: Site pages identify
what you need to study.
Bad news: Site pages do not explain
everything
Worse news: Learning takes time,
yours
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