Review of Mathematical Concepts and Principles PDF

Summary

A review of mathematical concepts and principles, including scientific notation, change to standard notation, rules for multiplication and division, and trigonometric functions. Examples and questions are presented to illustrate various concepts.

Full Transcript

Review of Mathematical Concepts and Principles MAY MGA BAGAY NA DAP AT MO NG BALI KAN, P ARA MAUNAWAAN Y AO NG DARAANAN. DALANGI N KO ’Y I KAW AY HI NDI MADARANG, Y ARI TAY O DY AN, SA SENI O R HI GH I KA’Y GUGURANG! SCIENTIFIC NOTATION Change to Scientific Notation 1. 56 76...

Review of Mathematical Concepts and Principles MAY MGA BAGAY NA DAP AT MO NG BALI KAN, P ARA MAUNAWAAN Y AO NG DARAANAN. DALANGI N KO ’Y I KAW AY HI NDI MADARANG, Y ARI TAY O DY AN, SA SENI O R HI GH I KA’Y GUGURANG! SCIENTIFIC NOTATION Change to Scientific Notation 1. 56 760 000 000 2. 0.0000000902 Change to Standard Notation Rules for Multiplication  Multiply the coefficients  Add the exponents  Base remains 10 What is the product of.. Rules for Division  Divide the coefficients  Subtract the exponents  Base remains 10 What is the quotient if you divide.. Rules for Addition & Subtraction  Express the numbers as the same power of 10  Get the sum or difference of coefficient What is the sum of.. Subtract the 1 number from the 2 st nd number. TRIGONOMETRIC FUNCTIONS  sine  cosine  tangent Evaluate. INVERSE TRIGONOMETRIC FUNCTIONS  R = sin A  R is a number representing the sine of A (given)  A is missing (required) Determine angle A in degrees 1. sin A = 0.8090 2. cos A = 0.7600 TRIGONOMETRIC FUNCTIONS  c – hypotenuse  b – side opposite B and adjacent to A  a – side opposite A and adjacent to B TRIGONOMETRIC FUNCTIONS Solutions for Oblique Triangles  Law of Sines  Law of Cosines Law of Sines Law of Sines  AAS – 2 angles and 1 adjacent side  ASA – 2 angles and the side between  ASS – 2 sides and the adjacent Law of Cosines Law of Cosines  SAS – 2 sides and the included angle  SSS – all 3 sides Problem 1: Problem 2: Solve for the magnitude of angles A, B, and C. a = 34ft c = 18ft b = 20ft Quiz on Mathematical Principles and Concepts Express in standard  SCIENTIFIC NOTATION. 1) 123 000 000 2) 0.0000008 3) 204.5 Express in STANDARD NOTATION. Use your scientific calculator to find the VALUES of the following: (3 SF) Simplify. -4 Find the value of x. *See illustrations on the board. Problem-solving: A meter stick was held vertically on a level surface, casts a shadow 1.5m long. Find the tangent of the angle that the rays of the sun make with the horizontal. ANSWERS: ANSWERS: 1. 20 2. 0.00002 3. 2 ANSWERS: 1. 0.743 2. 0.0875 3. 0.799 ANSWERS: ANSWERS: ANSWERS:

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