Welcome to Mrs Ryan’s Numeracy page.
• a whole number that divides exactly into another number.
• a whole number that multiplies with another number to make a third number.
FACTORS – YOU vs COMPUTER
Multiplication & Division Fact Family
Long Division Game
Tic Tac Toe Long Division
HOW BANKS MAKE MONEY VIDEO
- The rate, given as a percent.
- To find the discount, multiply the rate by the original price.
- To find the sale price, subtract the discount from original price.
Decimals, Fractions & Percentages
Multiply and Divide Decimals by 10, 100 and 1000
Lattice Multiplication Method
MULTIPLICATION & DIVISION
Finding the Perimeter
Mean, Median, Mode
Mean: Also known as the average.
The mean is found by adding up all of the given data and dividing by the number of data entries.
Example: The Year 10 Maths class recently had a Mathematics test and the grades were as follows:
82 464 / 6 = 77.3
Hence, 77.3 is the mean average of the class.
Median: The median is the middle number.
First you arrange the numbers in order from lowest to highest, then you find the middle number by crossing off the numbers until you reach the middle.
Example: – use the above data to find the median:
66 74 75 78 82 89
– as you can see we have two numbers, there is no middle number. What do we do?
It is simple; we take the two middle numbers and find the average, ( or mean ).
75 + 78 = 153
153 / 2 = 76.5
Hence, the middle number is 76.5.
Mode: — this is the number that occurs most often.
Example: – find the mode of the following data:
78 56 68 92 84 76 74 56 68 66 78 72 66
65 53 61 62 78 84 61 90 87 77 62 88 81
The mode is 78.
How to Find the Mean
The mean is the average of the numbers.
It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
In other words it is the sum divided by the count.
Example 1: What is the Mean of these numbers?
- Add the numbers: 6 + 11 + 7 = 24
- Divide by how many numbers (there are 3 numbers): 24 / 3 = 8
The Mean is 8
Why Does This Work?
It is because 6, 11 and 7 added together is the same as 3 lots of 8:
It is like you are “flattening out” the numbers
Example 2: Look at these numbers:
There are fifteen numbers.
The mean is equal to 330 / 15 = 22
The mean of the above numbers is 22
The Cartesian coordinate system was developed by the mathematician Descartes during an illness. As he lay in bed sick, he saw a fly buzzing around on the ceiling, which was made of square tiles. As he watched he realized that he could describe the position of the fly by the ceiling tile he was on. After this experience he developed the coordinate plane to make it easier to describe the position of objects.
Students plot these coordinates:
▪ (18,3),(16,5),(12,5),(?,?), (?,?)
▪ (13,12),(15,14),(12,17),(?,?), (?,?)
▪ (7,14),(6,11),(7,8),(?,?), (?,?)
▪ (15,9),(19,9),(16,11),(?,?), (?,?)
▪ (11,3),(15,2),(16,6),(?,?), (?,?)
▪ (9,16),(2,9),(9,2),(?,?), (?,?)
(?,?) = using the coordinates you have already received solve the missing coordinates to plot a quadrilateral shape on the Cartesian plane.
CLICK ON THIS LINK TO SORT SQUARE NUMBERS
SQUARE NUMBER SORT
• multiples are a sequence of products using the same base number multiplied by different numbers.
ROUNDING TO THE NEAREST TENTH – MEMORY GAME
DECIMALS, FRACTIONS & PERCENTAGES
Match Fractions, Decimals and Percentages
Matching Memory Game
Tenths and Hundredths – Decimals
Melvin’s Make a Match – Fractions matching game
Equivalent Fractions Games
The litre is the basic unit for measuring capacity in the metric system.
1000 millilitres (mL) = 1 litre (1 L)
1000 litres (L) = 1 kilolitre (1 kL)
Discuss liquids that are usually measured in:
- millilitres e.g. medicine, cans of drink
- litres e.g. cartons of milk, bottles of juice
- kilolitres e.g. water usage bill, pools
Research the capacity of:
- Sydney Harbour
- Sugarloaf Dam
- Thomson Reservoir
- Maroondah Reservoir
- a large rainwater tank
- a petrol tanker
- the hot water system at home
Example water bills
Lines of Symmetry
3D Shape Sort
CHANCE & DATA
Drop a drawing pin on the floor from a height 50 times and record which way it lands on the website link below (Pin Drop).
How many two scoop ice-creams can be made?
Hitting the Target
Squirt the Dog
Kung Fu Angles
Pick the Fruit
Add your way to $1,000,000!!
Addition Maths Test
Addition Sum Sense
Addition Concentration (Memory) Game
Match the equation with the answer
ADDITION AND SUBTRACTION
LOCATION AND MAPPING
AREA & PERIMETER
Flips, Slides & Turns
Click on the game below to practise making dollar amounts using Australian coins.
Click on the game below to practise adding money.
Click on the game below to practise calculating change.
HOW MUCH CHANGE?
Who wants to be a millionaire? A general Maths quiz.