## Maths

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

# FACTORS – YOU vs COMPUTER

# Multiplication & Division Fact Family

ARRAYS

CAPACITY

VOLUME

**Procedure:**

- 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

# Multiplying Decimals

### https://www.mathsisfun.com/multiplying-decimals.html

# Rounding Decimals

# Multiply and Divide Decimals by 10, 100 and 1000

# 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

# **LONG MULTIPLICATION**

**Lattice Multiplication Method**

# MULTIPLICATION & 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?

- 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**

## 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 Numbers

# Triangular Numbers

# **MULTIPLES**

# MULTIPLES

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

ROUNDING:

ROUNDING TO THE NEAREST TENTH – MEMORY GAME

DECIMALS, FRACTIONS & PERCENTAGES

Decimaster

SWAMP SURVIVAL

WISHBALL: TOURNAMENT

Match Fractions, Decimals and Percentages

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

## Example water bills

## 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

# ADDITION

Add your way to $1,000,000!!

Addition Pyramid

Addition Maths Test

Addition Sum Sense

Addition Soccer

Addition Concentration (Memory) Game

Match the equation with the answer

## SUBTRACTION

## ADDITION AND SUBTRACTION

Fast Practice!

## LOCATION AND MAPPING

# AREA & PERIMETER

# MULTIPLICATION

# DIVISION

SUM SENSE

VICTORY DIVISION

# Flips, Slides & Turns

## MONEY

## Click on the game below to practise making dollar amounts using Australian coins.

## Click on the game below to practise adding money.

ADDING MONEY

### Click on the game below to practise calculating change.

HOW MUCH CHANGE?

## Joshua and Nathan

August 29, 2011 at 12:09 pm (7 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.

## Elena and Alisha

August 29, 2011 at 12:23 pm (7 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!!!! 🙂 🙂 :-)!!!

## Alicia

June 4, 2012 at 4:47 pm (6 years ago)Hi Mrs Ryan,

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

## Madisono&Sally

July 30, 2012 at 10:39 am (6 years ago)Hello Mrs Ryan,

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

## Ophelia

August 31, 2012 at 9:56 am (6 years ago)Hey Mrs Ryan,

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

## jackwblog

February 12, 2014 at 11:38 am (4 years ago)i really liked every game ms ryan it was the best 🙂 🙂 🙂

‘