CCE for SSLC 2014 - 15 Subject : Mathematics Dimension 1 sl.no. Unit no.of periods marks 1 Real numbers 2 2 Sets 2 3 Progressions 4 Permutations and combinations 5 5 Probability 3 6 Statistics 4 7 Surds 3 8 Polynomials 4 9 Quadratic equations 10 10 10 Similar triangles 6 11 Pythagoras theorem 4 12 Trigonometry 6 13 Co-ordinate geometry 4 14 Circle - chord properties 1 15 Circles - tangent properties 9 Dimension – 2 Weightage to objectives 1 2
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2013 May Candidate Name: Emil Abrahamyan Candidate Number: 006343-021 Mathematics Higher Level Type 1: Shadow Functions SHADOW FUNCTIONS The Aim of the Investigation: The overall aim of this investigation is to investigate different polynomials with different powers and create shadow function for each one. Afterwards identify the real and imaginary components of complex zeros from the key points along the x-axis using the method of shadow functions and their generators. Technology
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matrix methods or otherwise‚ find a quadratic function and a cubic function which model this situation. Explain the process you used. On a new set of axes‚ draw these model functions and the original data points. Comment on any differences. Find a polynomial function which passes through every data point. Explain you choice of function‚ and discuss its reasonableness. On a new set of axes‚ draw this model function and the original data points. Comment on any differences. Using technology‚ find one
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Partial Fractions A way of "breaking apart" fractions with polynomials in them. What are Partial Fractions? We can do this directly: Like this (read Using Rational Expressions to learn more): 2 + 3 = 2·(x+1) + (x-2)·3 x-2 x+1 (x-2)(x+1) Which can then be simplified to: = 2x+2 + 3x-6 = 5x-4 x2+x-2x-2 x2-x-2 ... but how do we go in the opposite direction? That is what we discover here: How to find the "parts" that make the single fraction (the "partial fractions")
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For four years during high school‚ we learn the principles of science and math. How to solve for x in a polynomial equation. But as a volunteer engineer for a manufacturing factory during my sophomore year‚ I found that the typical high school curriculum is just not enough to prepare students for the real world. Our schools have become too old-fashioned. Today‚ success in the real world is not about memorizing the periodic table or the quadratic equation. It’s not about studying for hours the
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Oklahoma Algebra II End-of-Instruction Test Preparation and Practice Teacher’s Guide Help for the Oklahoma ACE Algebra II Test i-viii_OK_A2_TE_FM.indd i 7/11/09 12:38:29 AM Copyright © by Houghton Mifflin Harcourt Publishing Company. All rights reserved. No part of this work may be reproduced or transmitted in any form or by any means‚ electronic or mechanical‚ including photocopying or recording‚ or by any information storage or retrieval system‚ without the prior written permission of
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coefficients for a linear relation c = bo + b1 d and plot the equation obtained together with the data. NOTE: It is recommended to use a spreadsheet program (Excel) to solve this problem Problem #2: Heat capacities are usually given in terms of polynomial functions of temperature. The equation for carbon dioxide is: C p = 8.4448 + 0.5757 *10 −2 T − 0.2159 *10 −5 T 2 + 0.3059 *10 −9 T 3 where T is in °F and Cp is in BTU/(lb mol) (°F). Convert the equation so that T can be in °C and Cp will be in
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functions from the following list: • keλx • kxn (for n = 0‚ 1‚ 2‚ . . .; this includes constants‚ where n = 0) • k cos(ωx) or k sin(ωx) (note the ω is the lowercase greek letter ω) • keαx cos(ωx) or k αx sin(ωx) So for example‚ any constant‚ any polynomial‚ 5e2x ‚ − sin( x )‚ 3x2 + e−2x + ex cos(4x)‚ 2 etc. would all be valid r(x). The Main Idea While method we will discuss is called the Method of Undetermined Coefficients‚ we might as well just call it “educated guessing‚” because that’s all it
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Student Name: ______Chelsey Colston_______ Date: ___9/23/14___ Class: _____Algebra2______ Review: Review #1 1) Write the algebraic expression represented by the algebra tiles. 2) What are the factors of this algebraic expression? Review #2 Use the algebra tiles to square the following binomials‚ then combine like terms and write the resulting expression. 1) = 4x 2) = 6x 3) =6y 4) = y=4x Review #3 Form a rectangle with the algebra tiles. What product is represented
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International Baccalaureate Mathematics exam at the Standard level. | |Topics include operations and properties of number sets; trigonometric functions‚ equations‚ and graphs; algebra and coordinate geometry; | |simultaneous linear equations; polynomial and quadratic functions and equations; calculus‚ including bilinear‚ exponential and logarithmic | |functions; two dimensional vectors and matrices; and probability. | |
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