YOU are better than YOU think. Show yourself how:
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Read logic
chapters 1 to 5 in online volume Three
Skills for Algebra for greater skills & confidence
in work Learn to read notes and textbooks like a lawyer, so that no nuance, no subtlety and no clause escapes your attention. |
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Logic chapters 1 to 5 re- appear not in sequence, as is or longer, in Volume 1A, Pattern Based Reason, Bon Appetite.
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
Logic mastery makes the hard, easier. Logic mastery leads to better, stronger and richer comprehension. Logic mastery improves reading and writing. Logic mastery ease learning difficulties. Logic mastery gives a headstart. In sum, logic mastery will develops critical thinking, improve reading and writing, and give a firmer base for work and studies at many levels. Good luck.
After logic, (a) continue reading Three Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving liinear Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes & More Math, chapters 2 to 6;
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Caution: Site advice is approximately correct, for some circumstances, not all. That leaves room for thought |
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What may be learnt and when depends on how skills and concepts are developed. Making the hard easier and clearer will allow earlier & richer development of skills and concepts.
Try the Twiddla
Whiteboard. In principle, it allows
to people to draw and chat together online on a copy of this webpage or a clean
sheet. The chat may be via text or audio. Visit www.twiddla.com
to set up whiteboards to work with the webpage of your choice.
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.
Kirchoff's First Law: The sum of currents entering a junction of
an electric equals the sum of current leaving.
- A junction is also called a node.
- If the first law failed, electric charge would accumulate at a junction. But like charges repel. Kirchoff's first law may be a consequence of the observation or pattern that like charges repel.
Example:
Example:
Example: Find the mystery or missing currents in the following circuit diagram
- I1 = I2 + I3
Therefore I3 = 3 amp - 1.25 amp = 1.75 amp - I4 = I2 = 1.25 amp
- I5 = I4 = I2 = 1.25 amp
- I6 = I5 +I3 = I3 + I2 = I1 = 3 Amp
- I7 = I6 = 3 Amp
Since currents before and after any point or circuit element in a wire must be equal (to avoid charge build up), we can describe the above circuit and other with fewer current variables.
Kirchoff's First Law says The sum of currents entering a junction of an electric equals the sum of current leaving. Likewise the sum of currrent entering a circuit element equals the sum of current leaving when there is no charge build-up, in others words accumulation, in or on the circuit element.
Optional (Most should ignore): Charge accumulation along wires and in or on circuit elements is considered in more advanced studies of circuit theory. Think about "exceptions" to the first law if you meet capacitors and the capacitance effects of circuit elements and transmission wires.
www.whyslopes.com
Electric Circuits Notes, Ad hoc
More on Electricity Circuit Elements EMF - Voltage I EMF - Voltage II Kirchoff's First Law Kirchoff's 2nd Law Series Circuit I Series Circuit II Series Circuit III Series Circuit IV Resistors in Parallel I Resistors in Parallel II Wire Resistance I Wire Resistant II Wire Resistant Math I Wire Resistance Math II Wire Resistant Math III Wire Resistant Math IV Conductance I Conductance II Energy Power I Energy Power II Energy Power III Energy Power IV Energy Power V Energy Power VI (Heat) Energy Power VII (Heat) Energy Power VIII (Heat) Energy Power IX (Heat) Problem Checklist I Problem Checklist II Problems
Sit down and study -