Ideas in Math 1. There are 4 roads from other cities coming in to vertex A. 2. Graph I is connected because all vertices have at least one path connecting them. 3. This graph is not an Euler circuit because not all edges have been covered. 4. In order for a graph to have an Euler circuit‚ all vertices must have even valence. Graph II is an Euler circuit because all vertices have even valence. 5. In order for a circuit to be an Euler circuit‚ each path must be covered once and only once. Since
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Write your name here Surname Other names Centre Number Candidate Number Edexcel GCSE Mathematics A Paper 2 (Calculator) Higher Tier Thursday 8 November 2012 – Afternoon Time: 1 hour 45 minutes Paper Reference 1MA0/2H You must have: Ruler graduated in centimetres and millimetres‚ protractor‚ pair of compasses‚ pen‚ HB pencil‚ eraser‚ calculator. Tracing paper may be used. Total Marks Instructions Use black ink or ball-point pen. Fill in the boxes at the top of
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+ 7x + 3‚ find (a) dy ‚ dx (3) d y . dx 2 2 (b) (1) 1 (ii) Find 1 3 x 2 dx. x (4) 3. Given that the equation kx2 + 12x + k = 0‚ where k is a positive constant‚ has equal roots‚ find the value of k. (4) 4. Solve the simultaneous equations x+y=2 x2 + 2y = 12. (6) 5. The rth term of an arithmetic series is (2r – 5). (a) Write down the first three terms of this series. (2) (b) State the value of the common difference. (1) (c) Show that (2r 5) = n(n
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Math Portfolio SL TYPE I LACSAP’S FRACTIONS Introduction This assignment requires us to solve patterns in numerators and denominators in LACSAP’S FRACTIONS‚ and the first five rows look like: Figure 1: Lacsap’s Fractions 1 1st row 1 3/2 1 2nd row 1 6/4 6/4 1 3rd row 1 10/7 10/6 10/7 1 4th row 1 15/11 15/9 15/9 15/11 1 5th row Then
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18 Math 070 Chapter 7 Rational Expressions and Equations (7.1) Sec. 7.1 Simplifying Rational Expressions To reduce an algebraic fraction: factor first‚ then cancel _____________________________. 1. 4w3 28w 2 2. 27 a 3 33 3. y 2 7 y 18 y2 6y 8 19 Math 070 Chapter 7 Rational Expressions and Equations (7.2) Sec. 7.2 Multiplying and Dividing Rational Expressions To multiply algebraic fractions: factor first‚ next cancel __________________________ and then
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numeracy. In early years numeracy skills are developed practically in shape‚ pattern‚ counting‚ sorting and measuring. It is important that children and young people are avle to realise the important og maths and the impact it has on our everyday lives outside of school. The secondary provision related maths to a more real life situation‚ and as the children become more advanced more technical machanics are used. Teachers in reception classes follow the Foundation Stage Curriculum which includes problem
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Cindy Wright March 14‚ 2011 University of Phoenix Math 214 Reflection Paper The course‚ mathematics for Educators II‚ is the second of a two part of a course intended for elementary education students. It is a five week course and we studied the basic ideas of mathematics that could be taught in the classroom. I feel that I have learned a lot in this course in the past five weeks. The focus of part two of this class was measurement‚ geometry‚ probability and data analysis. Data analysis
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range of purposes‚ but in order to discuss these further it is helpful to distinguish between summative and formative assessment. Summative assessment is used to measure progress and it is conducted at specific stages of the learning process - for example‚ end of unit tests‚ end of year tests and SATS. Summative assessment is often referred to as ‘assessment of learning’ and is linked to the concept of convergence (Torrance & Pryor‚ 1998)‚ whereby the purpose of assessment is to determine whether a
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sound waves form a cone behind the airplane (see figures). If Ѳ is the measure of the angle at the vertex of the cone‚ M represents the Mach number; the angle is therefore called the Mach angle. Mach number M can be Ѳ determined using the formula sin . M For example‚ an aircraft flying through air at twice the speed of sound has a Mach number of 2. The Mach number of an aircraft travelling at a given velocity depends on the altitude of the aircraft and other atmospheric conditions that affect the speed of
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MATME/PF/M12/N12/M13/N13 MATHEMATICS Standard Level The portfolio - tasks For use in 2012 and 2013 © International Baccalaureate Organization 2010 7 pages For final assessment in 2012 and 2013 2 MATME/PF/M12/N12/M13/N13 C O N T E N TS T y p e I t as k s Circles T y p e I I t as k s Fish Production Gold Medal Heights INTRODUC TI ON W h a t is t h e p u r p ose of t h is d oc u m e n t ? This document contains new tasks for the portfolio in mathematics SL
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