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Homework Policy

Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad , Glen Whiffen , John Owen, Robert Haese , Sandra Haese and Mark Bruce Haese and Haese Publications, 2004. Homework Policy. Late homework will not be accepted Graded in one standard.

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Homework Policy

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  1. Material Taken From:Mathematicsfor the international student Mathematical Studies SLMal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark BruceHaese and Haese Publications, 2004

  2. Homework Policy • Late homework will notbe accepted • Graded • in one standard • If based on completion… • 100% complete = 6 • 80%-99% complete = 5 • 60%-79% complete = 4 • 40%-59% complete = 3 • 20%-39% complete = 2 • 0%-19% complete = 0

  3. Chapter 1 Number Sets and Properties Wednesday, Aug 18th - Sections ABC Friday, Aug 20th – Sections DEF Tuesday, Aug 24th – Section G and Review Thursday, Aug 26th – Chapter 1 Quiz

  4. Section A – Some Set Language • A set is a collection of numbers or objects. - If A = {1, 2, 3, 4, 5} then A is a set that contains those numbers. • An element is a member of a set. - 1,2,3,4 and 5 are all elements of A. -  means ‘is an element of’ hence 4  A. -  means ‘is not an element of’ hence 7  A. -  means ‘the empty set’ or a set that contains no elements.

  5. Subsets • If P and Q are sets then: • P  Q means ‘P is a subset of Q’. • Therefore every element in P is also an element in Q. For Example: {1, 2, 3} {1, 2, 3, 4, 5} or {a, c, e}  {a, b, c, d, e}

  6. Union and Intersection • P Q is the union of sets P and Q meaning all elements which are in P or Q. • P ∩ Q is the intersection of P and Q meaning all elements that are in both P and Q. A = {2, 3, 4, 5} and B = {2, 4, 6} A  B = A ∩ B =

  7. M = {2, 3, 5, 7, 8, 9} and N = {3, 4, 6, 9, 10} • Is: • M  N ? • {9, 6, 3}  N? • True or False? • 4  M • 6  M • List: • M ∩ N • M  N

  8. Section B – Number Sets Reals Rationals (fractions; decimals that repeat or terminate) Irrationals (no fractions; decimals that don’t repeat or terminate) Integers (…, -2, -1, 0, 1, 2, …) Natural (0, 1, 2, …) Counting (1, 2, …) + *

  9. Section B – Number Sets • N* = {1, 2, 3, 4, …} is the set of all counting numbers. • N = {0, 1, 2, 3, 4, …} is the set of all natural numbers. • Z = {0, + 1, + 2, + 3, …} is the set of all integers. • Z+ = {1, 2, 3, 4, …} is the set of all positive numbers. • Z- = {-1, -2, -3, -4, …} is the set of all negative numbers. • Q = { p / q where p and q are integers and q ≠ 0} is the set of all rational numbers. • R = {real numbers} is the set of all real numbers. All numbers that can be placed on a number line.

  10. Show that 0.45 is rational. • Show that 0.88888888… is rational.

  11. Section C – Words Used in Mathematics • Sum = • Difference = • Product = • Quotient = • Terms = numbers being added or subtracted • Factors = numbers that divide exactly into another number • Divisor = the number by which we divide • Dividend = the number being divided Note: product and quotient can also refer to the result as well as the action.

  12. Find the Sum of 233, 42 and 6

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