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Exploring Connecting Teachers Resources

Deployable

structures Mathematics learning and teaching resources

A Presentation for Bath Spa University Given by Garrod Musto. South West Regional Coordinator

Exploring Connecting Teachers Resources

To introduce the Deployable structures learning and teaching resource to teachers. To highlight the content, resources and activities contained within the Deployable structures resource box. To provide teachers with a taste of a few of the activities in the Deployable structures resource box.

Purpose To help students link topics in the mathematics curriculum with real world applications. Key stage Aimed primarily at Year 6 and Year 7, but could be used with other students. Context Deployable structures, which open up (deploy) into something of use.

Deployable structures videos

Rolling bridge – Heatherwick Studio A novel deployable structure – Oxford Space Systems

Box contents 1. Resource booklets 2. Engineer and engineering case study sheets 3. Seeds (Mimosa pudica - ‘Sensitive Plant’ – a natural deployable structure) 4. Mosquito net 5. Coffee stirrers (see Group umbrella) 6. Construct-o-straw connectors 7. Construct-o-straws 8. Single sheet photocopy pack

8 1 6 What’s in the box 2 7 5 4 3

Publications - free to download

www.raeng.org.uk/education/schools/teaching-and-learning-resources/curriculum-resources

Curriculum

mapping Provides information about the resources and the mathematics topics covered.

Activity

timings

Resources

in the box

Resources

required

Deployable structures

Teacher’s guide

Delving into the Mosquito nets resource Topics

• Nets, area and volume • Scale drawing and scale factors • Problem solving • Converting between units

Activities

• Discussion • Making 3D nets and structures • Designing • Arithmetic

Flowers: natural deployable structures Topics

• Density • Nets of 3D shapes • Transformation of shapes • Symmetry

Content

• An introduction to familiar deployable structures • Discursive opportunities • Suggestions for hands-on activities • Limited arithmetic

Topics

• Area • Composite shapes • Complicated area calculations • Solving problems

Content

• Builds on Maths beneath my feet resource, which investigates area using flooring as a context • Provides some stretch and challenge Solar panels

Solar panels

Page 2

Idea of adding solar panels to a vehicle introduced.

Page 3

Increasingly complicated area calculations.

Page 4 Pages 5 & 6

Students challenged to The notes for calculate the area of to power a small car. teachers provides a the solar panel required solution.

Time given to review the Deployable structures resources

Discussion How might this resource be used at your school? How might mathematics teachers use the resource? What opportunities does the resource provide you with working alongside science, D&T, computing and ICT teachers Feedback Share your thoughts and ideas with the rest of the group.

Engaging with Feeder Schools and inspiring your students

CHALLENGE

•Make a model of a bob skeleton sled •See how far you can launch a Barbie! •Present an answer to the question:

Athlete or Machine?

Which is more important in the sport of bob skeleton?

The students then test their designs. Garrod Musto South West Region

Feedback from Oldfield School Bath

The task allowed students to 'get stuck in' and 'give it a go' themselves. Then automatically start to plan, test, evaluate and develop designs and ideas. The tasks were rich, and prompting students to draw and describe engineers before and after talk, reference to the role of engineers in the development of skeleton bob, continual development of students ideas about engineering throughout activity.

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It was an excellent presentation, great demeanour with students, encouraging, pitched at perfect level for a mixed group, support and encouragement for weaker students and stretching through questioning for higher achieving students.

Feedback from Holt Primary School Disaster Relief Resources

Bespoke Sessions for students

Engaging with Former Pupils

James Drake

What has this got to do with Kingswood’s Maths department?

What has this got to do with the Best seller; The Alexandria Link?

What has this got to do with Kingswood’s Maths department?

Next stage

More parents are coming out of the woodwork to help the department

Deal or No Deal

Using Probability

Engaging with Parents

A school based project designed to engage pupils and involve parents in their children’s mathematics lessons.

Current pupils and parents collaborating to bring the workplace into the classroom

Charlie Jones

I think it was an excellent idea ! Any approach to bringing the reality of maths into every day life has got to be a good thing. I think it helped my child because it was a different and more interesting angle on teaching this subject.It is good to have prep that incorporates every day life such as this.

Feedback from stakeholders at school

some of the benefits

• Parents have a valuable role to play. • Pupils learn more about their parents’ lives • The students have to carry out research with a clear aim in mind. • They also have to work independently • The parents are able to see what and how their children are learning • The parental body engaged with student learning • Forges/tightens bond between school and home

Engaging with Current Pupils

Katie Melua’s Bad Science

How would you describe the shape of your heart?

Squircle

LF Beauty

Agnes Chui

Student 1 LF Beauty

LF Beauty is an company which works both in internally and externally. They provide comprehensive product development , design with customers requirements specifically or according to the trend with supports technically ,after sales and logistical advices throughout the product life cycle. They have specialists of different stages such as research and development chemists, material and packaging professions . Together with their own factory, they provide manufacturing service and specific service of product solutions to suit every need. They use computer to control the processing department, modern filling hall for skincare, fragrance, toiletry , colour cosmetic products and a separate pack-off area and warehousing. They are the suppliers for Body shop, Mark & Spencer, Tesco, Next…… I have been working and looked at the packaging, commercial, planning, design and the R &D departments where mathematic has played an important role in each of these departments. 64

Commercial

This is the department which deals most with customers. They use market research company with statistics showing the growth rate of different countries and its relations with the changes in the cosmetic market. They can then predict and forecast the trend and suggest what should be produce. They will also need to calculate the development and production cost in relation to the price of the bits of material such as amount and volume of chemicals used, number of bottles, lids …... with the price customers are planning to pay. They will then agreed upon terms and conditions with clients. This is a crucial part of the whole company as their has the closest contacts with customers. 65

Planning

The planning department decides what jobs have to be in progress at what time. They have to take in all jobs, organize them and make sure products are manufactured by the time given or to meet meetings or inspection with customers. This department involves lots of skills from the module Decision Math. They use computer programmes and spreadsheet to record all the work. As there are lots of orders from different companies, they have to schedule the orders appropriately in order to meet deadlines. 66

Research and Development & Packaging

This is the department where chemist need to design a product to suit a customers’ request, e.g. to produce a lipstick according to customers’ sample. In order to match the colour, they have to try putting in different pigment, oil, fragrances... to satisfy their requests; they will also design new products. I got a chance to make a lipstick and lip-gloss to a requested colour. As the colour with alter at different temperature and amount of raw material, bits of materials is needed to record in order to produce a formula. The base of a lipstick is wax , I first need to heat it up then add in pigments of colour red, yellow, brown, blank…. then fragrances, moisture are added which are all recorded in grams and are mixed. If the colour is not appease, more pigments may be needed. When all is set another raw material will be added to harden its texture and to make all the raw materials to add up to 100%. In general the wax will make up 60%, pigments 25%, fragrance 1%. 67

Manufacturing formulation & Production Filling

When a formula of a specific product is set and tested, mass production take place, factories workers will collect ingredient from a chemical storage and pour them is a 6-8 tones mixer. After half a day or more, liquid will be transport to the filling and packaging machines to complete their production. Some of the products need special care, such as the hair gum and wax, their need to keep at a certain temperature to stay in the state of liquid when filling. Only a few workers are needed in these stages as work are done mechanically. most of the Stability, challenge testing will take place for the time being. User trial will also take place. 68

Student 2 What Rolls Royce Do

During our work experience we got a good flavour of the sort of problems the engineers at Rolls solve on a daily basis. It became clear that most of their work was about finding compromises, for example, balancing the thrust developed by an engine with how loud it is and its fuel consumption. Often these sorts of compromises are solved by a sort of ‘linear programming’ type method, but as there are so many variables to take into account a computer program has to do it for you. We didn’t get to find out how the program works unfortunately.

Student 3

For my work experience I was asked to attempt to organise an upcoming event that the firm would be hosting for prospect clients

Now for the maths………..

I was told that I had a budget of £1500 I had to know that there was an expected 100 guests, who would all be expected to have at least three drinks from the bar over the course of the evening Due to this I had to make an estimate of how much the bar would need to be bought for as the firm was buying the bar for the night so that the drinks would all be free for the clients……for this I also had to take into consideration the different prices of the alcohol drinks….ranging between 3 pounds per pint of lager and 20 for a bottle of wine

More maths…………….

I was told that the event was being held for the England-Slovenia match (that was exactly one week….7 days away) To be viewing this game I was asked whether I would be needing an 8 foot by 9 foot screen with a projector that could be mounted on the wall for the price of 120 pounds for the day or a 50 inch plasma screen TV hat would cost 240 pounds for the day…..as I was needing two of either I had to take into account the angels that the screens would be positioned at so everyone could get the best possible view and the price on the budget….on top of the £500 cost of hiring the venue for the day

What happened…….?

Overall the cost came out at 1400 pounds to host the evening for a night and it all went off without complications………

Work Experience Placements Student 4 & 5 The maths involved in Veterinary Science The maths involved on my work placement was mainly working out medication for the animals. Injections had to be drawn up with precision as the medication had to relevant to the animal’s weight. This involved using a calculation for each individual medication as they were all different concentrations and each animal is a different weight i.e. anti-biotic. Mathematics in Medicine Mathematics is used in many areas of medicine and the mathematics of tomography has become one of the most important applications to solving a wide range of health problems. Modern medicine relies heavily on imaging methods, starting with the early use of X-rays at the start of the 20th century.

Time to create your own ideas or themes to explore.

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