Just the maths - teaching slides by Hobson A.J. PDF

By Hobson A.J.

Show description

Read or Download Just the maths - teaching slides PDF

Similar education books

Download PDF by Kaplan Schweser: CFA Level 2 Schweser Secret Sauce 2009 - Учебное пособие для

Учебное пособие для подготовки к экзамену CFA point 2 (2009 год).
Содержит только самое необходимое - ключевые концепции и принципы, изложенные простым и понятным языком. Очень полезно для повторения материала ввиду большого его объема: при чтении, скажем, fastened source of revenue booklet, содержание quantitative tools уже помнится с трудом.
Доп. информация: Язык: Английский

Скриншоты:


Download PDF by Mark W. Lockwood, Elena T. Ivy: Learn about . . . Texas Birds (Learn about Texas)

Young children from six to 12 are brought to the main often noticeable and engaging Texas birds. young children can colour crowd pleasing line drawings of varied birds in commonplace habitats, whereas an easy-to-read textual content provides vital evidence concerning the birds, and a number of other enjoyable video games are instructive and tough.

New PDF release: The Changing Law of the Employment Relationship (Studies in

In the past few many years, industrialised nations have witnessed a innovative problem of the regulatory framework maintaining the binary version of the employment courting in line with the subordinate employment/autonomous self-employment dichotomy. New bizarre and hybrid operating preparations have emerged; demanding the conventional notions of, and divisions among, autonomy and subordination.

Download PDF by Anwei Feng: Bilingual Education in China: Practices, Policies and

This paintings compares and contrasts strands of bilingualism in China, one for minority nationality teams, the opposite for majority. It examines the background, coverage, philosophy, politics, provision and perform in bilingual, trilingual or multilingual schooling concerning Mandarin chinese language, English, and minority languages.

Additional info for Just the maths - teaching slides

Sample text

2. x−1(4x − x2) − 6(1 − 3x) ≡ 4 − x − 6 + 18x ≡ 17x − 2. 1 Two or more brackets multiplied together (a + b)(c + d) = (a + b)c + (a + b)d = ac + bc + ad + bd. EXAMPLES: 1. (x + 3)(x − 5) ≡ x2 + 3x − 5x − 15 ≡ x2 − 2x − 15. 2. (x3 − x)(x + 5) ≡ x4 − x2 + 5x3 − 5x. 3. (x + a)2 ≡ (x + a)(x + a) ≡ x2 + ax + ax + a2 ≡ x2 + 2ax + a2; a “Perfect Square”. 4. (x + a)(x − a) ≡ x2 + ax − ax − a2 ≡ x2 − a2; the “Difference of two squares”. 2 FACTORISATION Introduction “Factor” means “Multiplier”. Examples 1.

4x = log10 104x 1 1 log10(x3 + 2x2 − x) = log10 (x3 + 2x2 − x) 2 . 2 Hence, 104x(x + 1) log10 . x (x3 + 2x2 − x) 3. Rewrite without logarithms the equation 2x + ln x = ln(x − 7). Solution Convert both sides to the natural logarithm of a single mathematical expression. S. = 2x + ln x = ln e2x + ln x = ln xe2x. Hence, xe2x = x − 7. 8 4. Solve for x the equation 6 ln 4 + ln 2 = 3 + ln x. Solution Using 6 ln 4 = ln 46 and 3 = ln e3, ln 2(46) = ln xe3. 7 LOGARITHMIC SCALES In a certain kind of graphical work, some use is made of a linear scale along which numbers can be allocated according to their logarithmic distances from a chosen origin of measurement.

6 The Natural Logarithm of x is denoted by loge x or ln x. Note: By change of base formula, log10 x = loge x loge 10 and loge x = log10 x . log10 e EXAMPLES 1. Solve for x the “indicial equation” 43x−2 = 26x+1. 3913 7 2. Rewrite the expression 1 4x + log10(x + 1) − log10 x − log10(x3 + 2x2 − x) 2 as the common logarithm of a single mathematical expression. Solution Convert every term to 1× a logarithm. 4x = log10 104x 1 1 log10(x3 + 2x2 − x) = log10 (x3 + 2x2 − x) 2 . 2 Hence, 104x(x + 1) log10 .

Download PDF sample

Just the maths - teaching slides by Hobson A.J.


by Kevin
4.1

Rated 4.46 of 5 – based on 29 votes