The goal in every classroom, whether it be math or science or history, is to get students to learn without having them realize they're learning. It's beneficial to have some sort of memory trick or mnemonic device for every concept. There are many tricks that can be used including:Keyword...
A SOH-CAH-TOA mnemonic: Some Old Horses Can Always Hear Their Owner’s Approach • Oscar/Had (sin) A/Heap (cos) Of/Apples (tan) Reciprocal Trigonometric Functions s s c c t t Show Step-by-step Solutions Function Properties •ASTC(Where are they positive?) ...
The order of operations lays out which operations have to be done first when multiple operations are part of a single problem. Most people learn it as the mnemonic device PEMDAS. The following table explains each step of PEMDAS in the order of operations....
Examples Quadratic equation x2−4x−5=0 Trigonometry 4sinθcosθ=2sinθ Linear equation y=3x+4 Arithmetic 699∗533 Matrix [2534][2−10135] Simultaneous equation {8x+2y=467x+3y=47 Differentiation dxd(x−5)(3x2−2) Integration ∫01xe−x2dx Limits x→−3limx2+2x−3x2−...
What’s the solution? Memorize at the beginning of the year… and never, ever again. Memorization (whether by rote or by mnemonic device) serves us best when it gives us a starting place. It’s much easier to build well-integrated, highly connected knowledge structures when you’ve got a...
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Algebra Inputs Trigonometry Inputs Calculus Inputs Matrix Inputs sin(nπ) Differentiate w.r.t. n πcos(πn) Evaluate sin(πn)
Examples Quadratic equation x2−4x−5=0 Trigonometry 4sinθcosθ=2sinθ Linear equation y=3x+4 Arithmetic 699∗533 Matrix [2534][2−10135] Simultaneous equation {8x+2y=467x+3y=47 Differentiation dxd(x−5)(3x2−2) Integration ∫01xe−x2dx Limits x→−3limx2+2x−3x2−...
An early example of a mnemonic for pi, originally devised by English scientist James Jeans, is "How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics." When a poem is used, it is sometimes referred to as a piem. Poems for memorizing π have been...