Math Portfolio HL- Type 1 INVESTIGATINGRATIOS OF AREAS AND VOLUMES The purpose of this portfolio is to investigate the ratios of areas and volumes when a function y= xn is graphed between two arbitrary parameters x=a and x=b such that a‹b. Task 1 The general formula to find area A is [pic] The general formula to find area B is [pic] Therefore‚ the ratio of Area A to Area B is- = [pic] ÷ [pic] = [pic] × [pic] = n : 1 n:1 is the general conjecture formed. The given
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National Council of Teachers of Mathematics Standards and Math Lessons In the following essay there will be four lesson plans discussed from four different websites. All of the lessons concentrate on the National Council for Teachers of Mathematics (NCTM) Standards for Number Sense and Operations. The four lessons will be analyzed using the following criteria; the NCTM Standards‚ the use of differentiated instruction and the use of manipulative. The four lessons that will be looked into focus
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Formulas Read the following instructions in order to complete this discussion‚ and review the example of how to complete the math required for this assignment: • Read about Cowling’s Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate Algebra). • Solve parts (a) and (b) of the problem using the following details indicated for the first letter of your last name: |If your last |For part (a) of problem 92 use this information to
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Solving Math is very easy ‚ easy Solving Math is very easy Just relax and do not worry‚ worry Math is life you must be happy I. Don’t forget to group in tens when you add the numbers Just relax and don’t be mad when subtraction seems so hard You can find the product when you multiply it right Don’t be sad when you divide when decimal comes out Chorus: Solving is easy don’t need to worry Cause Mathematics part of life‚ you know You must be happy in living everyday Cause Math will
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History is not a useless subject History is defined to many as the study of past event‚ on a local‚ regional and international scale. Often‚ these are landmark events‚ such as riots‚ wars or declarations of independence. (Oxford Dictionaries‚ 2012) The study of the subject encapsulates developing an understanding of its causes‚ and the resulting impacts. My primary reason which explains why the subject is not useless is related to what is mentioned above. A study of the past gives us an understanding
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Compound Subjects and Compound Predicates A sentence might have more than one simple subject or simple predicate. A compound subject is two or more simple subjects that have the same predicate. The subjects are joined by and‚ or‚ but‚ or both…and‚ or either…or‚ or neither…nor. Charlotte Brontë and Emily Brontë were sisters. When the two simple subjects are joined by and or by both…and‚ the compound subject is plural. Use the plural form of the verb to agree with this plural compound
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MATH INVESTIGATION 4.2 FACTORIZATIONS on the Math Investigator determines if a number is prime or composite. If a number is composite‚ it prints all its factors‚ the number of factors‚ and its prime factorization. The numbers 1‚ 2‚ 4‚ and 6 have 1‚ 2‚ 3‚ and 4 factors‚ respectively: 1 has only 1 as a factor; 2 has 1 and 2 as factors; 4 has 1‚ 2‚ and 4 as factors; and 6 has 1‚ 2‚ 3‚ and 6 as factors. These factors are illustrated by the rectangles shown here. Starting Points for Investigations
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Math 030 Review for Exam #4 1. Express in terms of i: a. Revised Spring 2010 RH/DM 1 −4 b. − 12 c. −3 d. − 3 • − 12 e. 2i • 5i f. − 7i • 9i 2. Perform the indicated operations: a. (5 − 2i ) − (3 − 7i ) b. (2 + 6i ) + (3 − 7i ) (− 5 + 7i ) + (5 − 2i ) c. (13 + 9i ) − (− 6 + 8i ) d. e. (4 − 5i ) 2 f. (7 − 2i )(7 + 2i ) g. (3 + 4i )(5 + 2i ) h. (2 − 3i )(2 + 3i ) 3. Solve by factoring: a. x 2 − x = 42 b. 2 x 2 − 5
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A Husband’s Worst Nightmare When a husband hears the news of his wife having an affair outside their marriage‚ he becomes the victim and is left to decide what to do about the situation. While an author can set up this chain of events with ease‚ taking the story and giving it life is something completely different. To bring the audience in and assist them in feeling what the husband is thinking and feeling‚ and at the same time showing sympathy to the wife is truly a work of art. “Under the
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Math IA IB MATH SL Math IA Introduction: In this task I will consider a set of numbers that are presented in a symmetrical pattern and try to find a general equation to find the elements in the [pic]row. Consider the five rows of number shown below. Figure 1 Lacsap’s Fractions The aim of this task is to find the numerator of the sixth row and to find the general statement for [pic]. Let [pic] be the
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