NATIONAL SENIOR CERTIFICATE GRADE 11 MATHEMATICS P2 EXEMPLAR 2013 MARKS: 150 TIME: 3 hours This question paper consists of 12 pages and 3 diagram sheets. Copyright reserved Please turn over Mathematics/P2 2 NSC – Grade 11 Exemplar DBE/2013 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of 11 questions. 2. Answer ALL the questions. 3. Clearly show ALL calculations
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22. Conditional- if it is a line then it contains at least two points Inverse- if it is not a line then it does not contain at least two points Converse- If it contains at least two points then it is a line Contrapositive- if it does not contain at least two points‚ then it is not a line 23. Conditional- If there are 3 noncollinear points‚ then there is exactly one plane Inverse- if there are not exactly 3 collinear points‚ then there is not exactly one plane Converse- if there is exactly one
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Mathematical Database MATHEMATICAL INDUCTION 1. Introduction Mathematics distinguishes itself from the other sciences in that it is built upon a set of axioms and definitions‚ on which all subsequent theorems rely. All theorems can be derived‚ or proved‚ using the axioms and definitions‚ or using previously established theorems. By contrast‚ the theories in most other sciences‚ such as the Newtonian laws of motion in physics‚ are often built upon experimental evidence and can never be
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Observing Math Instruction Jeraldine Smith Grand Canyon University EED 364 Amanda Bruce September 23‚ 2012 On September 20‚ 2012 I observed in Mr. Jones 1st grade math class. The lesson was based on how to teach addition and subtraction to first grader. In this paper I will be observing an elementary mathematic lesson based on a math standards. The standards The National Council of Teachers of Mathematic (NCTM) are to guide educators on how to teach math the correct way. In comparing
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Head: Reflection Paper Math has been around for quiet a long time. We all see math in a different way some can grasp it and some cannot. Learning math concept is very frustrating some will master it and some want. I have struggle with math myself. In fact‚ every time the word math was said throughout my school years and I hated it. Now throughout this course‚ I realize that I need a great amount of math skills before I can even consider teaching math skills. Math is a difficult concept to teach
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When looking back on Math 297‚ I am reminded of the first time I heard mention of the course in Math 157 by Shari Dorsey. Shari was sharing with the class that in the fall a special topics class was going to be available‚ the topic being instruction in the middle years. I was so eager to sign up for the course that I emailed the instructor‚ Margaret Kinzel‚ immediately requesting a permission number. The eagerness to secure myself a position in this course stems from a desire to have as thorough
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Mathematics in Everyday Life How many times have you students asked "When are we ever going to use this in real life?" You’ll find the answer here! Or You may find yourself wondering what use we have for some of the knowledge we obtain from math class in school. It is sometimes difficult for students to appreciate the importance of Mathematics. They often find the subject boring and hard to understand. With this project we will hopefully help our students realize that Mathematics is not just a
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What Do Mathematics and Being a Math Teacher Mean to Me? Mathematics‚ for me‚ is a science of systematic way of thinking. Symbols (e.g. numbers) are meant for representation‚ accuracy and precision. Mensuration‚ which is very useful both in practical purposes and other sciences‚ is a great example as proof. Manipulation of these symbols produces systematic representation and pattern. For an instance‚ an individual who is good in constructing‚ determining‚ and manipulating equations as well as inequalities
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and using math in a game will get the students to be interested in math. Games can range from fun whole class involvement to using technology and playing mathematics games on the computer. To apply this strategy I would set up games for the whole class to participate in. Games could be using addition‚ subtraction‚ multiplication‚ etc. strategies to solve problems. If computers are available‚ I would also find an appropriate game for each individual student to play and practice their math skills.
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MATH AND MUSIC MATH AND MUSIC Math and Music Math and music are connected in many ways. Math is seen to be as very precise. Music is often seen as a way to express emotion. They are actually both very closely related together. Music is an expression of scales and notes that are strung together to make sound. Math is the subject of numbers and symbols used to write formulas and equations. At its foundation‚ music and math are related. In this essay‚ you will show that math and music
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