Chapter 2 - Sets, Whole Numbers, and plewis/Math109/ 2 - Sets, Whole Numbers, and Numeration 2.1 - Sets ... 2.3 - Hindu-Arabic System Hindu-Arabic numeration system Expanded

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MATH 109 - FINAL EXAMTHURSDAY, MAY 10TH10:30AM - 1:00PMChapters 2 through 9 (not 4.3 or 9.4)Chapter 2 - Sets, Whole Numbers, and Numeration2.1 - SetsSet Notation/Operations (, /,,,,,, etc.)Vocabulary - There are quite a few terms in this section (SEE PAGE 84 )2.2 - Whole Numbers and NumerationCardinal numbers, ordinal numbers, identification numbersRoman Numerals2.3 - Hindu-Arabic SystemHindu-Arabic numeration systemExpanded formNaming numeralsChapter 3 - Whole Numbers3.1 - Addition and SubtractionAddition - Set model, Measurement model, Properties (Closure, commutative, associative,additive identity)Subtraction - Take-away approach, missing-addend approach3.2 - Multiplication and DivisionMultiplication - Approaches (repeated-addition, rectangular array, cartesian product),Properties (Closure, commutative, associative, multiplicative identity, distributive)Division - Missing factor approach, repeated subtraction approach3.3 - Ordering and ExponentsOperations with Exponents (multiplying/dividing same base, etc.)Order of Operations (PEMDAS)1Chapter 4 - Whole Number Computation4.1 - Mental Math, EstimationMethods (Left-to-Right, Compensation, Compatible numbers)Estimation (Range, One/Two-Column Front-End)4.2 - Written Algorithms for Whole-Number OperationsLattice method for addition/multiplicationChapter 5 - Number Theory5.1 - Primes, Composites, Divisibility TestsDefinition of prime/composite numberFactor treePrime factorizationDivides (divisor, factor, multiple, is divisible by)Divisibility tests ( + theorem on pg. 190 )5.2 - Counting Factors, GCF, LCMCount factorsGCF (Set intersection method, Prime factorization method, and theorem on pg. 200)LCM (Prime factorization method)Chapter 6 - Fractions6.1 - The Set of FractionsBasics6.2 - Addition and SubtractionBe able to add/subtract fractions; Addition properties (Closure, commutative, associative,identity)6.3 - Multiplication and DivisionBe able to multiply/divide fractions; Multiplication properties (Closure, commutative,associative, multiplicative identity, multiplicative inverse, distributive)2Chapter 7 - Decimals, Ratio, Proportion, and Percent7.1 - DecimalsExpanded form; Names; Terminating decimal or not?; Fraction equivalents7.2 - Operations with Decimals+, -, , decimals; Repeating decimals (classify; express fraction as decimal)7.3 & 7.4 - Ratio and Proportion & PercentWord problemsChapter 8 - Integers8.1 - Addition and SubtractionMeasurement model; Addition properties (Closure, commutative, associative, identity,additive inverse); Add/subtract integers8.2 - Multiplication and DivisionMultiplication properties (Closure, commutative, associative, identity, distributivity);Multiply/divide integersChapter 9 - Rational Numbers, Real Numbers, and Algebra9.1 - Rational NumbersOperations; Addition Properties (Closure, commutative, associative, identity, inverse);Multiplication Properties (Closure, commutative, associative, identity, inverse, distributive)9.2 - Real NumbersProperties; Rational exponents; Solve algebraic equations/inequalities9.3 - FunctionsNotation; Sequences; Word problems3

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