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MATH 109 - FINAL EXAMTHURSDAY, MAY 10TH
10:30AM - 1:00PMChapters 2 through 9 (not 4.3 or 9.4)
Chapter 2 - Sets, Whole Numbers, and Numeration
2.1 - Sets
Set Notation/Operations (∈, /∈,⊂,⊆,∩,∪,×, etc.)
Vocabulary - There are quite a few terms in this section (SEE PAGE 84 )
2.2 - Whole Numbers and Numeration
Cardinal numbers, ordinal numbers, identification numbers
Roman Numerals
2.3 - Hindu-Arabic System
Hindu-Arabic numeration system
Expanded form
Naming numerals
Chapter 3 - Whole Numbers
3.1 - Addition and Subtraction
Addition - Set model, Measurement model, Properties (Closure, commutative, associative,additive identity)
Subtraction - Take-away approach, missing-addend approach
3.2 - Multiplication and Division
Multiplication - Approaches (repeated-addition, rectangular array, cartesian product),Properties (Closure, commutative, associative, multiplicative identity, distributive)
Division - Missing factor approach, repeated subtraction approach
3.3 - Ordering and Exponents
Operations with Exponents (multiplying/dividing same base, etc.)Order of Operations (PEMDAS)
1
Chapter 4 - Whole Number Computation
4.1 - Mental Math, Estimation
Methods (Left-to-Right, Compensation, Compatible numbers)Estimation (Range, One/Two-Column Front-End)
4.2 - Written Algorithms for Whole-Number Operations
Lattice method for addition/multiplication
Chapter 5 - Number Theory
5.1 - Primes, Composites, Divisibility Tests
Definition of prime/composite numberFactor treePrime factorizationDivides (divisor, factor, multiple, is divisible by)Divisibility tests ( + theorem on pg. 190 )
5.2 - Counting Factors, GCF, LCM
Count factorsGCF (Set intersection method, Prime factorization method, and theorem on pg. 200)LCM (Prime factorization method)
Chapter 6 - Fractions
6.1 - The Set of Fractions
Basics
6.2 - Addition and Subtraction
Be able to add/subtract fractions; Addition properties (Closure, commutative, associative,identity)
6.3 - Multiplication and Division
Be able to multiply/divide fractions; Multiplication properties (Closure, commutative,associative, multiplicative identity, multiplicative inverse, distributive)
2
Chapter 7 - Decimals, Ratio, Proportion, and Percent
7.1 - Decimals
Expanded form; Names; Terminating decimal or not?; Fraction equivalents
7.2 - Operations with Decimals
+, -, ×, ÷ decimals; Repeating decimals (classify; express fraction as decimal)
7.3 & 7.4 - Ratio and Proportion & Percent
Word problems
Chapter 8 - Integers
8.1 - Addition and Subtraction
Measurement model; Addition properties (Closure, commutative, associative, identity,additive inverse); Add/subtract integers
8.2 - Multiplication and Division
Multiplication properties (Closure, commutative, associative, identity, distributivity);Multiply/divide integers
Chapter 9 - Rational Numbers, Real Numbers, and Algebra
9.1 - Rational Numbers
Operations; Addition Properties (Closure, commutative, associative, identity, inverse);Multiplication Properties (Closure, commutative, associative, identity, inverse, distributive)
9.2 - Real Numbers
Properties; Rational exponents; Solve algebraic equations/inequalities
9.3 - Functions
Notation; Sequences; Word problems
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