Tuesday, 26 May 2015

Brilliant ideas for Science: tried and tested tips for lessons


Creativity and imagination is the key. 18 ways to get experimenting with science classes, including mission impossible, the yuck factor and pop culture
Creativity and imagination is the key. 18 ways to get experimenting with science classes, including mission impossible, the yuck factor and pop culture. All have been tried and tested by teachers and are guaranteed to work.

Ages 7 to 11

Your mission possible

To help pupils enjoy science investigations, tell them that they will be working for a secret agency on a mission.
To kick-start a lesson on thermal insulators, hide envelopes under the chairs of a few pupils  and explain what they will be doing. One envelope explains that canisters containing liquid have become detached from their holding cells. Another says that the liquid needs to stay warm. On each of the group tables, set up a tray with different materials, measuring equipment, thermometers and other science equipment that will help the children carry out their investigation. Each time an agent opens an envelope, time is given to discuss how they can keep the liquid warm, at which point play the Mission Impossible film music.
Once pupils come up with a plan, open a briefcase complete with canisters and allow them to carry out experiments. I filled canisters with water and green food colouring, and my pupils came up with a range of ideas to keep the liquid warm; the common method was insulating the beakers. One group wrapped foil around it because they had seen it used at home.
Martin Van Hecke is a Year 6 teacher at Higher Lane Primary School in Bury, Manchester

Ice ‘n’ easy experiment

Enliven teaching about the insulating properties of materials by filling a pair of washing-up gloves with water, knotting the ends and freezing. Take the frozen hands into school and remove the gloves. Tell the pupils they were left on your doorstep by an iceman. Explain you are worried that the hands will melt. There is no room in the school freezer, so ask the class to suggest what you should do with the hands.
You want to put the hands in the same place and have one wrapped in something and one unwrapped. Ask the pupils which will melt first. They will probably say the wrapped hand, as we tend to equate “wrapped” with warmth. Ask pupils to check on the hands throughout the day to take photos and discuss what is happening and why. Then you can surprise them; the wrapping insulates, keeping the heat out, so it’s the wrapped hand that melts more slowly.
Elizabeth Smith teaches at Badsworth C of E Voluntary Controlled Junior and Infant School in West Yorkshire

Ask more, learn more

Stuck for ideas for an investigation? Try question cards. Make a set of question starters in speech bubbles — for instance: “Which? What if? or How does? And laminate them. Place the object for investigation (ice hands, seeds or sponges) in front of the pupils. Let them choose a question card, one between two. They have two minutes to talk in order to generate a question about their object. Of the 15 questions, there will be at least six that can be easily investigated.
Hey presto! The pupils have generated investigable questions and have ownership of the investigation. Imagine the endless uses of these cards in all aspects of the curriculum.
Pauline Armitage teaches at Woodlands Primary School in Grimsby, Lincolnshire

The yuck factor

This activity is an imaginative introduction to a topic on micro-organisms. Just before you start the lesson, take some hair gel (preferably green) and place a large amount on your hands.

Ask the children to stand in a circle. Once they have done this, pretend to sneeze loudly into your hands. Immediately after this, turn to the pupil next to you and shake their hand. This should get a laugh. They in turn shake the hand of the person next to them, while you turn to the person on your other side. See how far the hair gel goes.
Ask the children for their ideas about what the activity demonstrates. I always use this as an opportunity to remind them just how far germs can travel and link this to hand-washing routines. They could then produce some hand-washing posters to go around the school.
Louise Payne is Year 5/6 class teacher at Collingwood Primary in South Woodham Ferrers, Essex

Watch what you waste

A way of getting pupils to think about their impact on the environment is to do an audit of the waste in their lunchbox.
Working in pairs and wearing plastic gloves, ask them to sort it into containers labelled: reusable, recyclable, landfill and compost. Weigh the containers and instruct pupils to work out how much waste there would be for a week, a year and for every class in the school. Discuss ideas to reduce the waste. Perhaps it would be possible for your school to obtain a compost bin.
However, waste is only a small part of the environmental problem. For homework, pupils can look at the country of origin of their food.
Elizabeth Smith teaches at Badsworth C of E Junior and Infant School in Pontefract, West Yorkshire

Ages 10 to 11

Fountain of knowledge

Why not take a chocolate fountain into your science lessons? You will be surprised at how much your pupils can learn from it — and have a lot of fun.
Children are often hindered by a lack of scientific vocabulary at the end of their key stage 2 assessments. To embed much of that used in our science unit (QCA Unit 4D solids and liquids), I took a chocolate fountain into the classroom and we enjoyed the delights it can bring. As a healthy school, we served strawberries on skewers dipped into the chocolate. Naturally, the pupils had immense fun, but it was a wonderful opportunity to show chocolate in its solid form, apply heat to produce a liquid form and let it solidify once it had cooled. We repeated the process to show it was reversible.
The scientific vocabulary flying around the classroom was amazing, as one pupil pointed out: “Oh no, the chocolate has solidified on to the chair.”
Kari Anson teaches at Ladygrove Primary School in Dawley, Shropshire

A soft cell

Teaching electricity can sometimes be difficult because pupils can find it hard to visualise what you are talking about. So when I introduce the concept of potential difference, I use a toy garage with a wind-up car lift to represent a cell. A car represents one of the charges (current) in the circuit. I place it at the bottom of the lift and slowly move it up to higher levels. As this happens, I explain to the pupils how a chemical reaction is taking place in the cell (in this
example, in my arm) and raising the charges to a higher potential energy level. If we raise the car to the first level, it has gained energy but not as much as if we raise it to the second level, etc. I explain that the voltage is the amount of energy needed to raise each car (unit of charge).
At the top of the lift, the car can run down the ramp, like the charges flowing around the circuit. The only thing to be aware of and explain is that when current flows, it doesn’t start in the cell, but all of the charges start moving throughout the circuit as soon as it is connected.
Andrea Mapplebeck is a professional development leader at the National Science Learning Centre in York

Team spirit

Working in groups is mportant, but some pupils find it difficult. Science practical work, in particular, needs a bit of co-ordination of this kind, otherwise things can get rather messy.

Each table or bench is a group with one rotating "leader". The leader comments on the group's progress and behaviour in a group diary at the end of the lesson. The leader can nominate one or more pupils to ask and answer questions during the lesson. The group comments on the leader in the diary, and the make-up of the group is changed occasionally. The contents are fed back in class to initiate discussion about behaviour and attainment. This strategy encourages pupils to be aware of and take responsibility for learning.
Kevin Brookes is a retired teacher in Cleveland

Bare bones approach

Why not turn your evening meal into a teaching/learning tool? I did, and my pupils loved it.

After cleaning and bleaching the bones, I took them to school and presented them to my class for the topic of evolution. We examined the similarities in the arm and leg bones of a number of animals. This inspired pupils to look at shared features with the human skeleton. From this, we decided to set up an “evidence for evolution” circus. We made sets of “bones” from plaster of Paris of animals such as bats, chimpanzees and dogs. Each pupil prepared a commentary to help explain their evidence for evolution. Some pupils made models of butterflies and flowers with slight differences due to regional variations. Some made plaster models to represent the changes to the bones of the lower legs of a horse over time. Other pupils prepared a PowerPoint presentation on Darwin.
We arranged the classroom to have a wildlife feel and invited other classes to view our displays and discuss our evidence. This was a superb opportunity for pupils to research and appreciate the ideas behind evolution in a more hands-on way.
Stuart Bennett is head of science at The Robert Manning Technology College in Bourne, Lincolnshire

Tea time

For teaching distillation in Year 7, the standard experiment involves distilling ink to get the water back, but I distil tea. Simple. Take a tea bag and kettle and brew tea in a beaker — no milk or sugar — then ask pupils how to get the water back.
They really don’t know how, but when you do ink they don’t seem to find this a problem. You then distil the tea the usual way in a Liebig condenser and hey presto — it’s water! The best bit is discussing whether or not you could add the water back to the residue and make tea. Yuk!
You can talk about tannic acid and why coffee is OK kept hot, but tea tastes foul. You can also talk about tannic acid in peat bogs preserving so-called bog bodies and the process of tanning leather (and tanning your stomach). I find the pupils are far more engaged with this than with distilling ink —and they remember it.
Carol Ashby-Rudd teaches at the Burgate School and Sixth Form College in Burgate, Hampshire

New view

Pupils know from experience that drops of liquid act as lenses. They may have sneezed near a computer screen and seen pixels magnified by the water droplets. Challenge pupils to make a simple “microscope” using a drop of liquid from a pipette and keep it in place for viewing. Bent paper clips and holes of various sizes in card and plastic can be used. Pupils will note a problem using a water drop: it soaks into the card after falling from the paper clip, and
the small hole makes viewing very difficult — water is too runny.
Provide a range of more viscous liquids such as olive oil, washing up liquid and glycerine. A 2mm drop of glycerine on a strip of clear plastic works well, and magnifies about five times. Two lenses, one above the other, make a more powerful compound “microscope”. Also, try reading Micrographia by Robert Hook, who first used the word “cells”.
Julian Silverton teaches at the International School in Geneva

Picture this

Reading images is a versatile technique to use in science. It gets pupils to extract information collaboratively from a picture or photo, rather than from text. It makes a great opener for new units, or as a revision lesson. First, find an image that relates to your classwork.
Reproduce the image on A4 and stick it on an A3 sheet. Give small groups the image; ask them to spend 15 minutes annotating it; writing around it; thinking of vocabulary they associate with the image; science links they are seeing; questions it raises or laws they see illustrated. They then give it a title. The class can have one image or several.
Groups give feedback and take questions. The technique works by fixing their understanding to an image for easier recall and consolidates their scientific vocabulary.
Suzie Phillips teaches at Bungay Middle School in Suffolk

Tune in

Teaching sound at key stage 3 or 4 invariably involves the use of tuning forks. Discussing how the prongs move to produce compaction and rarefaction of air molecules, thus producing the longitudinal waves that we hear as sound, can be awkward as the prongs cannot be seen to move. Their movement can be detected by touching them on to a glass or the surface of water. But I developed a way to show the movement directly during my teaching practice.
This involves a tuning fork and strobe light. The strobe is set to about the frequency of the tuning fork — it is usually best to set the frequency before the pupils enter unless they are high ability, in which case the process may interest them. When the vibrating fork is held in front of the lamp and the flash frequency is gradually adjusted, the full movement of the prongs can be seen in apparently slow motion. This also works if the strobe light is pointed towards the
users so the tuning fork is backlit. The frequency for middle C is over 200Hz, so there is no problem in using the lamp with pupils who are sensitive to flashing lights.
Alan Hedges is a supply teacher in Lancashire and Cumbria

Ages 14 to 18

Lights, camera, lesson

Sometimes at the end of a practical lesson pupils do not have complete or expected observations. Try using videos and photographs of results to summarise the practical.

For example, in chemistry, halogen displacement test tube reactions are conducted. Pupils will not always make the expected subtle observations. I have a video clip to show the experiment and photographs in a PowerPoint slide to summarise the results. Once the practical is complete, pupils can watch the video, look at the slide and check that they have recorded the correct observations. They can then study their results to enable them to recognise and explain the pattern using their scientific knowledge, followed by the writing of ionic equations.
Emma Baker is an educational consultant

Squaring up

Debating ethical issues is a key part of science GCSE. It is a high-level skill for pupils to think from someone else’s perspective and scrutinise ideas, so I have come up with the idea of “box heads”.
Three boxes have faces drawn on them: one smiling, one frowning and one questioning. Three pupils put these on their heads. The smiling one must agree with a particular idea, and the frowning one disagree, giving reasons for their positions. The one with the questioning face must query the evidence. Other pupils can also contribute to the discussion. The pupils wearing the boxes then choose which pupil to hand their box on to.
Less confident children thus have a structured way to contribute to and be included in the debate and cover their blushes.
Laura Seabright teaches at Addey and Stanhope School in Lewisham, London

Pop culture

To help pupils understand radioactive half-life, I give everybody in the class a party popper and a regular dice. We discuss how the popper is like a radioactive nucleus: we cannot tell just by looking at it when it will go off, and once it has done so it cannot pop or release its radiation again. Everybody in the class rolls their dice. If they throw a six, they let off their popper; this is therefore a random event. We count how many poppers remain unpopped and record this. We repeat the process until all the poppers have been popped.
The whole process makes the plotting of the half-life curve much more real. The sample is a bit small, but this can be extended by giving each pupil a number of party poppers, as long as they throw the dice once for each popper. This also serves to keep everybody in the class interested for longer periods of time.
Tony Sinton is deputy headteacher at Dowdales School in Cumbria

Date with destiny

Turn an ordinary revision lesson into a “speed dating in science” event.
Ask the pupils to prepare an ID card with some interesting facts about themselves. Divide the class in two, with half as the “dates” and the remainder as “speed-daters”. Both need to do some preparation. The speed-daters have to learn the whole topic (such as humans) and come to the event with a list of relevant questions and answers from each section of it. Each date is given three sections (such as the heart) to learn, the choice based on areas where their homework suggests they need to work harder. Send out invitations. On the day, arrange the chairs and tables in a semi-circle, give each table a number, and set up a board at the back where pupils can post their verdict. Greet them with flavoured water, chocolates and mood music.
They have five minutes to mingle and can only mention relevant facts such as: “Did you know the heart has four chambers?” Give the speed-daters a score sheet and sit them opposite their date for three minutes. Then they rate their date for knowledge and understanding and move on. Provide drinks and chocolate throughout. At the end, allow pupils to read all the score sheets posted on the board.
Khatma Bibi is head of science at Bartley Green Technology College in Birmingham

My science space

Using a familiar method can help pupils struggling with difficult subjects. So I get pupils to create a Facebook or MySpace profile on paper, about hydrocarbon when teaching the topic of alkanes and alkenes. By creating worksheets with a similar layout to these websites, pupils remember more information, and in a logical order.
For example, the profile picture is the structural formula, “status” can be solid, liquid or gas, AIM screen name can be the molecular formula (for example, CH4), activities can be “cooking, camping”, groups can be alkanes or alkenes and under a “family pictures” heading, pupils can draw the other hydrocarbons in the family. The idea can be used either as a main teaching activity to introduce hydrocarbons or as a revision aid.
Jacquelyn Long is a trainee secondary science teacher on placement at St Peter’s School in Huntingdon, Cambridgeshire

Source: http://newteachers.tes.co.uk/news/brilliant-ideas-science-tried-and-tested-tips-lessons/45544

Monday, 25 May 2015

Brilliant Maths ideas: tried and tested tips for lessons



Teachers across the UK share the secrets of their classroom successes. Here are 18 ways to brighten up your maths lessons, including dancing the Macarena, number tumbles and finding new angles

Teachers across the UK share the secrets of their classroom successes. Here are 18 ways to brighten up your maths lessons, including dancing the Macarena, number tumbles and finding new angles

Ages 4 to 11

Smart moves

Pupils dance the Macarena (instructions below) as they drill their times tables or count up in tens. I used this with the 1, 2, 5 and 10 times tables.
1. Practise the dance, arm movements only.
2. Practise saying the 1 times table, arm movements only.
3. Repeat with other tables.
4. Combine tables and dance; for example: times 1, jiggle/jump/turn to the right, times 2, jiggle/jump/turn, times 5, jiggle/jump/turn, times 10, jiggle/jump/turn, and then you’re all facing forwards again.
The Macarena
1. Right hand straight out in front, palm down.
2. Left hand out, palm down.
3. Turn right palm up.
4. Turn left palm up.
5. Right hand to left shoulder.
6. Left hand to right shoulder (both arms crossed over the chest).
7. Right hand to back of your head.
8. Left hand to left of head (you should now look like you’re doing sit-ups).
9. Right hand touches left hip.
10. Left hand crosses to the right hip.
11. Right hand to right hip.
12).Left hand to left hip.
Geoff Harman is a trainee teacher in County Durham

Ages 7 to 11

Unlock that maths head

Here’s one to improve those times tables. Completing a weekly grid test can help key stage 2 children learn.Get them to draw a 6x6 square in their maths books and give them six numbers to write outside the grid across the top, and six to write down the left-hand side.
The children must multiply the numbers to complete the grid. They work against the clock, calling out when they’ve finished so you can give them their time, which they record.
Stop the test after two minutes and mark the answers together. Incorrect or missing answers should be circled. The following week, get them to compete against their personal best time and number of correct answers.
Reward those who improve.Over a term, they should be able to see some real improvements in their scores. Differentiate by changing the size of the grid or the numbers used.
Elizabeth Smith teaches at Badsworth C of E Voluntary Controlled Junior and Infant School in West Yorkshire

Number tumble

This activity is good for  problem-solving, mental maths and practising times tables.
Using your Smartboard, go into the notebook and, from the gallery, paste on two or three tumbling dice. Pupils come up and touch the dice to change the numbers. Ask them, “What is my answer?” and allow time for them to decide what it will be. For example, dice showing two, three and five could give you the answer 13: (2 x 5) + 3 = 13, or 2 + 3 + 5 = 10, or (3 x 5) x 2 = 30.
Pupils need to demonstrate how they worked out their answer. As they become more confident, you can add more dice. It can be done as a whole-class activity or, if you wish to make it competitive, do it in teams for points. You can use ordinary dice if you do not have a Smartboard.
Valerie Stoddart is a P5 primary probationer at Aboyne Primary School in Aberdeenshire

Number games

I’ve used this activity with children of different ages and abilities and it has never failed to motivate them.
Explain to the class that every letter of the alphabet is worth money: a=1p, b=2p, and so on to z=26p. This can be displayed on the board or on paper for reference. Then write a shopping list and ask pupils  to work out the cost of each item by adding together the values of the letters. For example: bread costs 2p+18p+5p+1p+4p=30p.
This is a good opportunity to discuss strategies for adding mentally or you could provide calculators if  appropriate. Then challenge the class. What is the cheapest item they can find? What is the most expensive? Can they find an item worth exactly £1?
You can vary this to reinforce any concepts that you have taught recently. Pupils could use words relating to the Tudors, or the coast, or poetry — I’ve never yet had a child point out you couldn’t buy these things in a shop. You could make this seasonal by asking for words relating to Christmas or Easter.
The children enjoy the competitive element and are practising their spelling, addition and problem- solving skills in a fun way.
Mel Heale is a part-time teacher at St Andrew’s C of E Primary School in Wirral, Merseyside

Rope and role

To help pupils understand shape and space, stand them in a circle, holding a long loop of rope.  all out the names of three to 10 pupils to hold the rope while the rest drop it.
Then get them to pull tightly to form a 2-D shape. Pupils can identify the shape and discuss its properties.
Problem-solving skills can be developed by asking pupils to organise the rope into a particular shape, such as an irregular nonagon. As an extension, ask more able pupils to make a 3-D shape (a cuboid perhaps) with the rope. Talk about the properties of 3-D shapes including the difficulties they encounter when using materials such as rope to model them.
Benjamin Westley teaches Years 3 and 4 at Meldreth Primary in Cambridgeshire

Perfect combination

Draw a grid with numbers in each square that are complements of 100 (complements are  numbers that when combined add up to 100, such as 70 and 30).
To make it easier, you can use only multiples of 10. The first pupil to play “serves” a number by  standing at the  front of the class and calling it out to fellow pupils. Their classmate must shout out the number’s complement. If they are correct, the rally continues and the first classmate “serves” another number to a different pupil. If they get the answer wrong, the first pupil wins points according to the rules of tennis scoring: love, 15, 30, 40.
Complete a few rallies then ask the class what the problem is with the game — they will probably reply that only the pupil at the front can win any points. Then change the rules so that when the responding pupil gets an answer right, they can ask a question back to the “server”.
Once the game is won a new volunteer should be chosen.
Paul Ainsworth is deputy head at Belvoir High School in Bottesford, Leicestershire

Time to play

Stuck for a way to revise times tables besides reciting them in unison? This bingo activity motivates pupils of different ages and abilities. Give each pupil an A5 sheet of paper or a whiteboard. Find out how many times tables they have learnt and decide from there.
Ask pupils to draw a square grid, divide it into nine parts and write the answers from two different times tables, any between two and 10, into each square. You can help by giving them some examples orally. Call out a number sentence such as “six times six”. Pupils with 36 in their grid cross out the number. The first person to cross out all the numbers says “Bingo”. Then play it again.
Make sure that the winners are rewarded. It’s also a good idea to prepare some nice stickers or a variety of other rewards in advance.
Weiqing Zhu is a supply teacher in Glasgow

 

Ages 9 to 11

Bean counter

Pupils love this activity, and it is always a huge success in terms of knowledge and understanding.
To teach the topic of ratio and proportion, put the pupils in pairs and then give them a tube of Smarties. Ask them to record the ratio of each Smartie colour to every other colour.
Once they have grasped this, move on to calculating the proportion of each colour within the tube. Encourage them to work out how to write these as fractions and percentages, then simplify the fractions and round decimal numbers to the nearest whole number. Once they have completed the task, they can eat the Smarties. It’s funny how motivated they become with the lure of chocolate. This may not fit in with the Healthy Schools agenda, but as a once-a-year motivational tool, you’ll find it works a treat.
Louise Payne teaches at Collingwood Primary School in Essex

Crowning glory

Invite a child to be the king or queen and sit in front of the class, wearing the crown. Write a number on a Post-it note and stick it on the crown. The children in the class use number fans or the whiteboard to give the child the clue to what the number is.
For example, put number 7 on the crown. The children calculate what must be added to the number to make 10 and show this on their number fans. The king or queen look at their numbers and can then work out the number on the crown. The class is learning, the child is under pressure and learning, and the teacher can differentiate easily during a maths mental starter, which is often not easy.
It can be used for almost all the mathematical concepts you are teaching. I have used it for fractions and percentages in Year 6, describing shapes (using whiteboards), times tables, subtractions and additions. The children love it.
Clare Higgins is a Year 2 teacher at St Mary’s C of E Primary in High Crompton, Oldham, Lancashire

Up and down

Do you find that teaching — or even using the vocabulary of fractions — can somehow be fraught with hazards?
Try twisting your tongue around “thirteen-fifteenths”, “three-sixths”, “six-sevenths”. Do you get numerator and denominator mixed up and the wrong way around? Children do this all the time. Yet their positions can be easy to remember — simply say each key word aloud while simultaneously pointing to them. Use mnemonics:
“Nice Doggy”,
“Notre Dame”,
“Numerator Up,
Denominator Down”
My favourite is an activity involving building bricks with enough letters to make both words. These are used to build a two-word tower. The children know a tower should reduce in size as it rises.
They will soon discover the obvious: NUMERATOR goes above, DENOMINATOR goes below. Alternatively, make it a class activity using drag and drop letters on an interactive whiteboard. You could also make this into a wall display with brightly painted bricks.
Richard Coles teaches maths at Fyndoune Community College in Sacriston, County Durham

Chop chop

Here’s a fun but “chop chop” approach to numeracy lessons named Straight Line Kung Fu. It was inspired by a kung fu lesson I watched in China.

With the class, decide on actions for parallel, perpendicular, diagonal, horizontal and vertical (adding on the angle vocabulary in further sessions). Pupils stand up straight with their arms by their sides waiting for the first command. The caller shouts “Parallel” and the pupils make the corresponding movement and call out “Huh”. Then the caller shouts another command and so on. You could even end with a courtly bow.
Kate Cullen teaches at Turnfurlong Junior School in Aylesbury, Buckinghamshire


Ages 10 to 13

Ready to be converted

Whiteboards converted my pupils into maths enthusiasts.
Use the corridor or playground, or clear a space in the classroom for this kinaesthetic activity to practise converting between fractions, decimals and percentages.
Give each pupil a mini whiteboard. Form three queues of pupils, positioning them at the left, middle and right side of the classroom. Name one row fractions (pupils A), one decimals (pupils B) and the last one percentages (pupils C). Call out various fractions, decimals and percentages with various conditions.
Here’s an example using a fraction:
Pupils A in the fractions queue must write down a fraction with a denominator of 10.
Then they run to the decimals queue (pupils B) to convert the fraction into a decimal.
Next, pupils B run to the percentages queue (pupils C) to convert it into percentages.

The first team to sit down with a correct conversion gets a point. An example of a correct conversion would be: 8/10, 0.8 and 80 per cent.
Mark Ingham teaches maths at Bishop’s Stortford College Junior School in Hertfordshire

Ages 11 to 16

Throw of the dice

Teaching probability can be a nightmare. So much of the vocabulary is used in everyday life that it can be difficult for pupils to make the connection between theoretical and practical probabilities. I didn’t want a difficult Year 10 set throwing dice around all lesson, so I devised a way to get the spreadsheet program Excel to show how, on a fair die, the relative frequency of a six being thrown is 1 in 6. The spreadsheet (which can be downloaded from www.tes.co.uk/resources/frequency “rolls a die” 1,000 times, then calculates the relative frequency of the sixes.
A graph shows the tendency towards 0.166 recurring. The number of rolls or the die face number can be altered if you want to convince them that a six is just as likely to come up as any other number. Press F9 to get a new selection of random rolls.
Rob Percival teaches at Haberdashers’ Aske’s Boys’ School in Hertfordshire

Missing number

Never be stuck for a starter again. I got my pupils into a routine by writing the date and the lesson number in their books. If there are three lessons a week, you’ll probably get up to more than 100 lessons by the end of the year. We had two numbers to discuss.
Pupils looked for connections between them; for instance, on September 25 it was lesson nine, so both were square numbers. On October 8, it was lesson 13, so both were Fibonacci numbers. You might encourage pupils to find the lowest common multiple and highest common factor of the two numbers, or one as a percentage of the other. It all depends on the ability of the group.
This also helped me to see from their books if a pupil missed a lesson — it’s easier to see if any numbers are missing, rather than looking at dates.
Joyce Brown teaches maths at Durham Johnston Comprehensive School in Whinney Hill

Find new angles

To help pupils overcome difficulty in learning trigonometry, try starting with a practical investigation. Give pupils a worksheet with three similar right-angled triangles.
Ask the pupils to measure each side of each triangle. From this, they should be able to work out the ratios: adjacent: hypotenuse; opposite: hypotenuse and opposite: adjacent.
Taking experimental error into account, the pupils should get each of the three ratios correct to two decimal places. Ask them to explain what they would expect to find for three other similar triangles, if each of them has a different angle. Explain that each ratio has a special name — cosine, sine and tangent, with each ratio for any right-angled triangle having the same value.
This method allows pupils to go on with confidence using trigonometry in current and future lessons.
Graham Green is a private tutor in Chesham, Buckinghamshire

Walking the line

The ability to graph data correctly is important. Building a human graph is a kinaesthetic and effective approach before putting it on paper.
All you need are: three long pieces of rope (x-axis, y-axis and the graph line); A4 paper for titles, labels and numbers; Blu-Tack; and the corridor or playground.
One pupil holds two pieces of rope at the origin that extend outwardly as the x and y-axes. Two pupils pace out the scale on each axis, Blu-Tacking the numbers and labels to the floor. The remaining pupils are divided into an x co-ordinate queue and a y co-ordinate one. The first x, y pair stands at the origin. A co-ordinate is read out; they walk along their axis to the correct value, turn and join at the specified co- ordinate. They cross hands to show x marks the spot.
This continues until all co-ordinates are plotted. A third rope is used to join the points. The success criteria and pupils’ plotting skills are then used to graph data on paper.
Yvonne Davies is an Advanced Skills Teacher for science at Thurston Community College in Bury St Edmunds, Suffolk

Ages 14 and over

Start making money

Design your own gold coins, worth different amounts of money. The only rule is that the measurements must be precise because gold is expensive and, if lots of the coins are to be minted, they need to contain the exact quantity of gold. Pupils can find the up-to-the-minute price of gold per gram atwww.lbma.org.uk/statistics_current.htm, or the teacher can check that morning. Discuss why the price varies even though other relevant factors, such as the density (19.3 g/cm3), are fixed.

Questions include:
1. What denominations are possible/desirable?
2. How thick should coins be?
3. What shape is best?
4. Why aren’t coins made out of gold any more?
Able pupils might design coins consisting of two different components (eg, gold and silver), like the UK £2 coin, or coins with holes in the middle. Making a coin in the shape of the UK 50p  piece is a significant challenge for a GCSE pupil with a knowledge of trigonometry and sectors of circles.
Colin Foster teaches mathematics at King Henry VIII School in Coventry, Warwickshire

Ages 11 to 16

Multiply the fun

Would this starter amaze your pupils? Choose a three-digit number such as 856, multiply it by 1,001 (allow low-ability pupils to use a calculator). Try this three more times.
What do you find and can you explain why this is? When you multiply any three-digit number by 1,001, the  answer looks like the original three-digit number repeated twice: 362 x 1,001 = 362 362. Go for a four-digit number multiplied by 10,001: 4,270 x 10,001 = 4270 4270. Ask pupils what they would have to multiply a five-digit number by to make the answer look like it is the original number repeated twice (answer: 100,001).
Heidi Hartley is a teacher at Magical Mathematics and Enchanting English, a professional  tuition centre in Stroud, Gloucestershire

Source: http://newteachers.tes.co.uk/news/brilliant-maths-ideas-tried-and-tested-tips-lessons/45542