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

  • Published on
    05-Apr-2018

  • View
    218

  • Download
    6

Embed Size (px)

Transcript

  • 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

    3

Recommended

View more >