Welcome to Mrs Ryan’s Numeracy page.

# FACTORS

• a whole number that divides exactly into another number.

• a whole number that multiplies with another number to make a third number.

FACTOR TREES

XFactor 12

# Multiplication & Division Fact Family

ARRAYS

Dividerama

Long Division Game

Tic Tac Toe Long Division

CAPACITY

VOLUME

HOW BANKS MAKE MONEY VIDEO

Procedure:
1. The rate, given as a percent.
2. To find the discount, multiply the rate by the original price.
3. To find the sale price, subtract the discount from original price.

# Order Fractions

http://www.bbc.co.uk/skillswise/game/ma17frac-game-ordering-fractions

https://www.brainpop.com/games/battleshipnumberline/

http://www.transum.org/Software/SW/Starter_of_the_day/starter_May12.ASP

SHORT DIVISION

# LONG 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:

78
66
82                                  464 / 6 = 77.3
89
75

Hence, 77.3 is the mean average of the class.
+ 74
464

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?

6, 11, 7

• 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:

3, 7, 5, 13, 20, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29
The sum of these numbers is 330

There are fifteen numbers.

The mean is equal to 330 / 15 = 22

THE MEAN MACHINE

## CARTESIAN PLANE

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.

GENERAL COORDINATES:

MAZE GAME:

GRAPHIT

Students plot these coordinates:

▪      (3,7),(3,4),(8,4)

▪      (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

• multiples are a sequence of products using the same base number multiplied by different numbers.

ROUNDING:

ROUNDING MASTER

HANGMAN ROUNDING

ROUNDING TO THE NEAREST TENTH – MEMORY GAME

HALF-COURT ROUNDING

DECIMALS, FRACTIONS & PERCENTAGES

Decimaster

SWAMP SURVIVAL

WISHBALL: TOURNAMENT

Match Fractions, Decimals and Percentages

Matching Memory Game

Equivalence

Fractions Parachute

Tenths and Hundredths – Decimals

FRACTIONS

# Equivalent Fractions

Melvin’s Make a Match – Fractions matching game

Equivalent Fractions Games

# CAPACITY

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

## Shapes

INTERACTIVE TRIANGLE

Lines of Symmetry

Polygon Sort

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?

# ANGLES

Hitting the Target

Squirt the Dog

Kung Fu Angles

Pick the Fruit

Protractor Angles

Match the equation with the answer

Fast Practice!

SUM SENSE

VICTORY DIVISION

# Flips, Slides & Turns

HOW MUCH CHANGE?

## Who wants to be a millionaire?  A general Maths quiz.

1. ###### Joshua and Nathan
August 29, 2011 at 12:09 pm (8 years ago)

We liked game number 2 because first you have to pick your time tables 1 to 12 and answer them all ten times and after that theres a game.

2. ###### Elena and Alisha
August 29, 2011 at 12:23 pm (8 years ago)

We think that the ‘Diaper Derby’ is excellent! It is really fun, you answer division questions of the level that you choose. If you answer them correctly you move forward. If you answer enough correctly you win the race! You also get to choose how your baby looks and what kind of walker it has. After the race is over and you see which place you came in it, it will tell you what questions of that level you need to work on. It is a really fantastic game to work on if you want to practice your division tables!!!! 🙂 🙂 :-)!!!

3. ###### Alicia
June 4, 2012 at 4:47 pm (8 years ago)

Hi Mrs Ryan,
I really liked the game Robo packer and the video Johnny the guinea pig it was really funny.

July 30, 2012 at 10:39 am (8 years ago)

Hello Mrs Ryan,
We liked the tile game, it was really fun & interesting. It also made us think a lot.

5. ###### Ophelia
August 31, 2012 at 9:56 am (7 years ago)

Hey Mrs Ryan,

I played VICTORY and it was so!!!!!!!!!!!!!!!! COOL!!!!!!!!!!!!!!!!!!!