18
Maths We can’t wait to meet youAll the Maths teachers at The Redhill Academy are very much looking forward to meeting you. Normally on transition day you would meet at least one of the Maths teachers, have the opportunity to ask questions and do some Maths. Unfortunately due to transition being cancelled we won’t meet in person, however hopefully by completing this booklet you will be able to find out some facts about the Maths teachers at The Redhill Academy (you may have to type some of the clues into google to get the answer) and do some maths either on your own or with your family/carers. This is completely optional, we will not be asking to see this in year 7, it’s just a bit of fun to keep you busy. But do feel free to show your Maths teachers when you arrive at Redhill.

Maths - The Redhill Academy

  • Upload
    others

  • View
    4

  • Download
    0

Embed Size (px)

Citation preview

Maths

We can’t wait to meet you…All the Maths teachers at The Redhill Academy are very much looking forward to meeting you. Normally on transition day you would meet at least one of the Maths teachers, have the opportunity to ask questions and do some Maths. Unfortunately due to transition being cancelled we won’t meet in person, however hopefully by completing this booklet you will be able to find out some facts about the Maths teachers at The Redhill Academy (you may have to type some of the clues into google to get the answer) and do some maths either on your own or with your family/carers. This is completely optional, we will not be asking to see this in year 7, it’s just a bit of fun to keep you busy. But do feel free to show your Maths teachers when you arrive at Redhill. ☺

Mrs chaloner

Mr cookson

Mr hammond

Miss bowman

Miss connolly

Mr crossley

Meet the department… In the Maths department we have 16 Maths Teachers. Throughout this

booklet you will find out about some of our favourite Maths related things. Come back to these two pages to fill those in, can you find them all?

Favourite Shape:

Favourite Formula:

Favourite Shape:

Favourite Formula:

Favourite Shape:

Favourite Formula:

Favourite Shape:

Favourite Formula:

Favourite Shape:

Favourite Formula:

Miss graingerFavourite Shape:

Favourite Formula:

Mr cutts

Favourite Shape:

Favourite Formula:

Favourite Shape:

Favourite Formula:

Mrs mallyon

Mrs peasley

Mrs wright

Mrs hevness

Mr noble

Miss rogers

Meet the department… In the Maths department we have 16 Maths Teachers. Throughout this

booklet you will find out about some of our favourite Maths related things. Come back to these two pages to fill those in, can you find them all?

Favourite Shape:

Favourite Formula:

Favourite Shape:

Favourite Formula:

Favourite Shape:

Favourite Formula:

Favourite Shape:

Favourite Formula:

Favourite Shape:

Favourite Formula:

Mrs staniforth

Favourite Shape:

Favourite Formula:

Mrs rose

Favourite Shape:

Favourite Formula:

Favourite Shape:

Favourite Formula:

Levels of difficulty

The tasks within this booklet will vary with difficulty. Look out for the Nando’s peri-ometer. The hotter the task, the harder it is!

A bit of a warm up…

Task:

It is possible to find all of the numbers from 1 to 20 using just four 4s! You can use different operations – for example +, -, x, ÷, √, brackets, squaring and even factorial (!)

Finding all of them is a real challenge, but even if you can’t find them all I’m sure you can find some of them. Remember, you must use all four 4s each time.

A quick lesson – what is factorial (!)?

5! Isn’t just 5 with an exclamation mark it actually says 5 factorial. This is one of the great maths short cuts – it means 5 x 4 x 3 x 2 x 1

Examples

3! = 3 x 2 x 1 = 6

5! = 5 x 4 x 3 x 2 x 1 = 120

This tasks ranges from Extra Mild to Extra Hot!

The aim of the game is to be the first person to make the number 24.

For each game you have 4 numbers, you have to use ALL four numbers, you can add, subtract, multiply or divide these to make 24.

Example:

2 2 6 8

To make 24, I can do (8 - 2) x (6 – 2)

8 -2 = 6

6 -2 = 4

6 x 4 = 24

Now it’s your turn, the 24 cards are below they get harder as you go through.

The 24 game…

Mrs Hevness’ favourite shape is a 3D shape with no

edges or corners. It is the mathematical name for a

ball or globe.

Try this with your family –

who is the quickest?

One Dot - Easiest

The 24 game… two Dot - medium

Mrs Mallyon’s favourite shape is the Mathematical

word for a triangular based pyramid made of 4

identical equilateral triangles.

three Dot - harder

Key Skills… When you get to a page like this, spend 10 minutes completingthe skills check questions based on topics you covered in primary.

Miss Grainger’s favourite shape is 3D and has 6 parallelogram

faces

Pythagoras of Samos was a famous Greek mathematician and philosopher (c. 570 – c. 495 BC). He is known best for the proof of the important Pythagorean theorem, which is about right angled triangles. He started a group of mathematicians, called the Pythagoreans, who worshiped numbers and lived like monks.

Can you find out what the Pythagorean theorem is?

Mrs Peasley’sfavourite formula

Maths Keywords… During your Maths lessons at The Redhill Academy you will be introduced to various important mathematical key words. Can you find the ones we’ve hidden in this word search?

A circle is an extremely important shape which has been known since before the beginning of recorded history. Natural circles would have been observed, such as

the Moon and Sun. The circle is the basis for the wheel, which, with related inventions such as gears, makes much of modern machinery possible. In

mathematics, the study of the circle has helped inspire the development of geometry, astronomy and calculus. The circumference of a circle (for other shapes we would say perimeter) is: 𝐶 = 𝜋𝐷. This is Mrs Wright’s favourite

formula.

The shape below is favoured by: Mrs

Wright, Miss Rogers, Mr Crossley, Mrs

Rose, Mr Cutts and Miss Bowman

A number problemCan you use the clues below to work out what number satisfies

all of the clues? You may want to use this 1-100 grid to help.

Mrs Mallyon’sfavourite

formula is 𝑠 =

𝑢𝑡 +1

2𝑎𝑡2

Key Skills… When you get to a page like this, spend 10 minutes completingthe skills check questions based on topics from throughout Primary school.

Mr Cookson’s favourite shape is 3D,

it has 6 faces, 12 edges and 8 vertices

but is not a cube

Did you know?There are many famous Mathematicians who discovered a lot of what we take for granted today. One of these is called Euclid, who was a Greek mathematician who lived around 300BC. He is known as being the Father of Geometry and is famous for a book he wrote called ‘Elements’. In this book he stated a lot of Mathematical proofs we still use to this day, 23 centuries later! One of the many formulae he discovered was one which finds any Pythagorean Triple. This is Miss Bowman’s favourite formula.

𝑎 = 𝑚2 − 𝑛2, 𝑏 = 2𝑚𝑛 , 𝑐 = 𝑚2 + 𝑛2

The calculator transformation..Blaise Pascal, in his short 39 years of life, made many contributions and

inventions in several fields. He is well known in both the mathematics and

physics fields. In mathematics, he is known

for contributing Pascal's triangle and probability theory. He also invented

an early digital calculator and a roulette machine.

Pascal’s calculator

The calculator we use in school. Casio fx-83GTX

The modern calculator can now be found

everywhere, both mini and large versions

and is embedded into devices such as

laptops and mobile phones. How many

devices that have calculators can you find

in your house?

Mrs Staniforth’sfavourite formula finds the area of a trapezium

𝐴 =1

2𝑎 + 𝑏 ℎ

Code Breaking…Alan TuringAlan Turing was a British mathematician. He made major contributions to the fields of mathematics, computer science, and artificial intelligence. He worked for the British government during World War II, when he succeeded in breaking the secret code Germany used to communicate.

In September 1939 Great Britain went to war against Germany. During the war, Turing worked at the Government Code and Cypher School at Bletchley Park. Turing and others designed a code-breaking machine known as the Bombe. They used the Bombe to learn German military secrets. By early 1942 the code breakers at Bletchley Park were decoding about 39,000 messages a month. At the end of the war, Turing was made an Officer of the Most Excellent Order of the British Empire.

Can you crack the code to reveal the 3 Maths teachers who’s favourite formula is the area of a circle (𝐴 = 𝜋𝑟2)?

A B C D E F G H I J K L M

55 47 84 10 9 75 59 64 32 15 23 50 26

N O P Q R S T U V W X Y Z

80 63 19 3 27 30 21 92 18 35 99 69 199

Can you make up some calculations to spell out your name using the same code breaker grid?

Can you make up your own message for a friend to decode?

3 x 3 x 3 =

7 x 9 =

90 ÷ 3 =

17 – 8 =

8 x 8 =

27 ÷ 3 =

9 x 2 =

8 x 5 x 2 =

4 + 5 =

5 x 6 =

150 ÷ 3 =

108 ÷ 4 =

39 + 24 =

72 – 13 =

32 – 23 =

19 + 8 =

7.5 x 4 =

Mr Noble’s favourite shape has four equal sides and four equal angles

Maths Challenges…Can you solve all the Maths challenges?They get more difficult as you go through..

A 3D shape with 12 pentagonal faces is the

favourite of Mrs Staniforth, Mrs Chaloner, Mr

Hammond and Mrs Peasley

Key Skills…

When you get to a page like this, spend 10 minutes completingthe skills check questions based on topics from Y6.

This is a popular formula! It is Mrs

Chaloner, Miss Grainger, Mr

Hammond, Mr Cookson and Mr

Noble’s favourite!

Quadratic FormulaThe quadratic formula helps us to solve

complicated quadratic formulae. You may not

see this again until year 10 but it’s really

useful.

𝑥 =−𝑏 ± 𝑏2 − 4𝑎𝑐

2𝑎 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0when

You won’t see this formula until at least year 10 but it’s very useful.

It’s called the cosine rule. 𝑎2 = 𝑏2 + 𝑐2 − 2𝑏𝑐𝐶𝑜𝑠𝐴

This is Mr Crossley and Miss Connolly’s favourite formula.

Maths Challenges…Can you solve all the Maths challenges?They get more difficult as you go through..

Miss Connolly’s favourite shape is a cross between a

square and a circle

Cross Number…Use the questions below to complete the cross number.

Across down

2 1

Mr Cutts’ favourite formula finds the Surface Area of a Sphere.

Here it is: 𝑆𝐴 = 4𝜋𝑟2

Key Skills… When you get to a page like this, spend 10 minutes completingthe skills check questions based on topics from Y6.

I hope you enjoyed getting to know a little bit about the Maths

department at The Redhill Academy and doing some Maths.

If you want to do more Maths to help you to prepare for joining

us, here’s a link to a website you can sign up to which allows

you to work through tasks to make sure you are Secondary

Ready.

https://www.numerise.com/secondary-ready/