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Year 8 Maths

Integers

FACT: Integers are whole numbers. They can be positive or negative. Zero is also an integer.



In year 8 you will learn more about how positive and negative numbers behave together.
Read these rules and the check your understanding by playing the games underneath them.

Integer Rap... Don't be negative about negative signs :)

Arithmetic Operations with Negative and Positive Numbers

Adding Real Numbers:
Positive + Positive = Positive
5 + 3 = 8
Negative + Negative = Negative
(- 6) + (- 3) = - 9
Sum of a negative and a positive number
Keep the sign of the larger number and subtract
(- 6) + 3 = -39 + (-12) = - 3(- 5) + 7 = 24 + ( -2) = 2

Subtracting Real Numbers:
Negative - Positive = Negative
(same as adding two negative numbers)
(- 8) - 3 = -8 + (-3) = -11
Positive - Negative = Positive + Positive = Positive
4 - (-3) = 4 + 3 = 7
Negative - Negative = Negative + Positive =
Keep the sign of the larger number and subtract
(-7) - (-5) = ( -7) + 5 = -2 (-5) - ( -7) = (-5) + 7 = 2


Lets hear it once again




Multiplying Real Numbers:
Positive x Positive = Positive
3 x 4 = 12
Negative x Negative = Positive
(-3) x (-5) = 15
Negative x Positive = Negative
(-3) x 2 = -6
Positive x Negative = Negative
3 x (-2) = -6

Dividing Real Numbers:
Positive ÷ Positive = Positive
18 ÷ 3 = 6
Negative ÷ Negative = Positive
(-18) ÷ (-3) = 6
Negative ÷ Positive = Negative
(-18) ÷ 3 = -6
Positive ÷ Negative = Negative
18 ÷ (-3) = -6.
source: Feb 4 2011

Ok.. so these are the rules... how to we go about applying them?
Watch this video


  1. One or Two Player Challenge html version , flash version
    Screen_shot_2011-02-04_at_2.49.38_PM.png
  2. Mystery Picture Game
    Screen_shot_2011-02-04_at_2.59.57_PM.png
  3. Greater or Less than Game
    Screen_shot_2011-02-04_at_2.57.54_PM.png


Mathsonline.com.au

Log on using the name and password given to you by your teacher and complete the tasks.
Your efforts and achievements for this unit form the beginning of your record in Maths this year.
Good Luck!
Mathsonline.com.au

Battleships:

vs your classmates.... who can be the class champ?
Down load the file with template and game-boards, then
Practice with a friend and then play each other off in a class draw.
Win fame and fortune... definitely a merit... and maybe a prize :)
Download this game template and begin...
bismark.jpeg
exampleboardbattleships.png
our board will be positive and negative integers on an x and y axis

Each player has
  • 1 aircraft carrier (5 squares)
  • 2 destroyers (4 squares)
  • 3 submarines (3 squares)
  • 4 patrol boats (2 squares)
Hide these on your grid by shading in the squares.

ownboard.png
Attempt to find your opponent's ships, e.g. by firing (2, -4) and recording your your shots on a separate grid.
Mark your opponent's shots as hits and misses on your own sheet, so you know when one of your own ships has been sunk.
If you guess the coordinates of one of your opponent's vessels correctly then your opponent will say "HIT".
If you guess the coordinates of where your opponent has no ship then they will say "MISS".
Once you have hit all of the squares of an opponent's ships they say "HIT AND SINK"
battleshipopponent.png
The first player to sink all of their opponent's ships wins!!!
To have your win recorded email your (saved e.g. MR_Battleships.pages) game record to your teacher.
GOOD LUCK!!!

Fact Sheets

Addition and subtraction of Integers
Multiplication of Integers