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# INTRO TO CONTEMP MATH MA 111

UK

GPA 3.54

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This 3 page Study Guide was uploaded by Kennith Herman on Friday October 23, 2015. The Study Guide belongs to MA 111 at University of Kentucky taught by Staff in Fall. Since its upload, it has received 30 views. For similar materials see /class/228162/ma-111-university-of-kentucky in Mathematics (M) at University of Kentucky.

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Date Created: 10/23/15

Review for Final Exam 1 Principles and Standards 11 Chapter 1 Problem Solving A Polya39s problem solving principles B Problem solving strategies C Gauss39 insight D Pigeonhole principle 111 Chapter 2 Sets and Whole Numbers A Section 1 amp 2 1 Three ways to describe sets 2 Venn Diagrams 7 what they are and how to use them to solve problems 3 Union intersection complement of sets 4 Empty set and universal set UI Idea of equivalent sets 6 B Sections 3 amp 4 De nition of Natural Numbers and Whole Numbers V 1 Models and properties of Whole Number addition and subtraction 2 Models and properties of Whole Number multiplication and division 3 The division algorithm 4 Working with exponents IV Chapter 3 Computations with Whole Numbers A Section 2 1 Working with diiTerent bases i Convert from base 10 to base 5 and Vice versa B Section 3 1 Algorithms for addition subtraction of whole numbers i How they are developed using mats strips units place value cards place value diagrams etc 2 Algorithms for multiplicationdivision of whole numbers i How they are developed ii Expanded notation iii Long division short division and scalTold method V Chapter 4 Number Theory A Sections 1 amp 2 1 2 3 V 00 V Prime composite unit numbers De nition of a divides b a is a factor of b b is a multiple of a The statement of the Fundamental Theorem of Arithmetic Finding prime factors i Tree method short division Prime product representation Prime power representation How many primes are there Divisibility tests for sums differences for 2 for 5 for 10 for products for 3 for 9 for 7 for 11 for 13 and for powers of2 B Section 3 1 2 Euclidean Algorithm GOD and LCM i Finding by set intersection primepower representation and Euclidean Algorithm VI Chapter 5 Integers A Representing the integers with colored counters B Additiorsubtraction of integers with colored counters C ClockArithmetic D Just kidding VII Chapter 6 Fracti0ns and Rational Numbers A Section 1 Models of fractions and what three questions must each model answer Equivalent fractions amp simplest form Ideas of common denominator and least common denominator Definition of the set of Rational Numbers How to compare rational numbers B Sections 2 amp 3 1 Addition subtraction and multiplicationdivision of rational numbers i Know the procedure and the various models 2 The density property of the rational numbers VIIIChapter 7 Decimals and Real Numbers A Section 1 2 OONCNUIbb VVVVVV 9 V Representations of decimals ie mats strips units etc Negative exponents Multiplying and dividing by powers of 10 Terminating and nonterminating decimals Repeating and nonrepeating decimals Converting decimals to fractions and fractions to decimals De nition of the Rational Numbers Ordering decimals De nition of irrational numbers and of the Real Numbers 10 Examples of irrational numbers 11 Determining the rationalityirrationality of numbers B Section 2 1 2 3 4 Rounding decimals Addingsubtracting and multiplyingdividing decimals Decimal expansion of fractions Scientific notation and significant digits C Section 3 1 2 3 Definition of Ratio and proportion Finding ratios and condition for proportion constant of proportionality D Section 4 1 Percent i Definition ii Decimal to percent and percent to decimal iii Solving problems IX Number Systems A Know the de nitions of all the numbers systems that we39ve talked about B Know how they relate together via a Venn Diagram39 C Explain which are subsets D Explain which are not subsets by using a counterexample

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