We are doing something a little bit different in our maths this week.

You will be designing a garden in several stages – costing out what you have spent and then selling some of your

produce to reinvest in your plot.

You will need to revise your knowledge of area and perimeter in lesson 1 before working through the different

stages of developing your garden on days 2, 3 and 4.

It would be helpful if you have some squared paper available for this project. We will make sure there is some in the

school porch for collection if you don’t have access to any.

As usual there are 4 days of maths fluency for you to do as well.

Week commencing 29th June 2020 - Maths

Day 1 – revision of area and perimeter

Day 2 – Designing a kitchen garden – area and scale

Days 3/4 – Designing an allotment – working out area,

perimeter, costs and profit.

+ maths fluency

+ maths fluency

+ maths fluency*School activity*

*School activity*

Week commencing 29th June 2020

Area and Perimeter

If you need a reminder about how to calculate the area of squares, rectangles, triangles and parallelograms, please go to Summer Term Week 9 and watch the video for Lesson 1 on Area and Perimeter (you can even watch more of the videos if you want to) on the White Rose website.

https://whiterosemaths.com/homelearning/year-6/

If you find this maths tricky, do the first couple of pages of questions but if you are more confident go straight onto the later problems (slide 7+)

Day 1

Day 1

Day 1

Day 1

Day 1

Now do these together…

Day 1

Day 1 – Think Together

Now for some independent tasks….

Day 1

Day 1 – Main Tasks

Day 1 – Challenge Tasks

P191 P195

Day 1 – Extra Challenges

Think Together Main Tasks

Day 1Day 1 - ANSWERS

Challenge Questions

Extra Challenge Questions

If you have a printer available, you may like to print some of the following sheets out but these tasks can also be completed just as successfully by drawing the different fruits and vegetables onto squared paper. Some sheets of graph paper will be available from the school porch where exercise books can be collected.

Our Learning Objectives are:Can I work out areas and perimeters?Can I work to scale accurately?Can I calculate with money and keep to a budget?Can I solve real-life problems?

*School Activity*

Please note – because this is a more open ended maths project, there won’t be a set correct answer – each child will have a different garden and a different set of data. We will be looking for effective presentation and logical organisation of the information, along with efficient and correct methods of calculation.

Work out what each square on your plan would measure in real life.

Now you need to look at the plants that you must include in your allotment.

Draw them into your gridRemember each plant takes up a specific amount of space and you cannot overlap them – the dimensions in squares are shown by the symbols – i.e. a carrot plant takes up a space 3 squares by 1 square – 60cm x 20 cm in real life)You must include all the plants on the list before planting extra for selling.

Cabbage2x2

Carrot3x1

Tomato1x2

Raspberry2x2

Apple tree5x5

Day 2

If you are able to print out the coloured symbol sheets, cut them out carefully and they will fit the squared grid representing your kitchen garden.If you are drawing the symbols (or your own versions) – don’t forget to include a key and make sure that they are the correct size.

Day 2

Day 2

Optional sheet for collage

Day 2

Optional sheet for collage

Here are some extra copies so that you can try different layouts.

Once you have fed your family, any extra space can be used to grow crops to sell. See how much each type of produce can be sold for and then try fill any spare ground with the most profitable combination of fruit and vegetables.

Day 2

There are many correct solutions to this problem – just make sure that there are no empty squares left! That would be wasted space in your allotment.

This solution leaves a space that will fit 5 raspberry plants – their fruit can be sold for £6 per plant – a total profit of £30

Extra ChallengeIf you could just plant this piece of land for profit – what would you plant and how much money would you make?

Day 2

The following tasks can be done over a couple of sessions; we hope that at the end of the three-day

project you will have:

A beautifully-designed allotment that is divided by the percentages given, into three distinct areas.

Spent your £200 wisely and you will have begun to sell some of the fruit/vegetables/flowers that you have

grown.

First, work out – how many different shapes will give you a garden of 30 metres square?

*School Activity*

6m

5m

10m

3m

These are the simplest shapes that you could choose but there are many other possibilities.

Days 3 & 4

These shapes are also 30 m

You can use whatever shape you like as long as it contains 30 square metres.

When you have decided, draw your garden boundary out on a large piece of squared paper –preferably with 5 small squares to every metre.

Days 3 & 4

2

Task 1 – draw your allotment on squared paper – preferably on the same scale as your kitchen garden i.e. 1 square = 20cm

Task 2 – calculate the perimeter of your garden – you will need this measurement to purchase fencing.

Task 3 – Plan the three areas of your garden: 40% will be your kitchen garden 40% flower garden and 20% wildlife area. Mark these sections on your plan.

Days 3 & 4

Task 4 – You have a budget of £200 to plant your garden. The kitchen garden can be planted as you planned it yesterday, but this time, you need to calculate what this will cost.Separate lists, of the prices of these plants and extra items that you can now use, are on the following slides.Flowers are priced either; for a packet of seeds that will fill one square metre or as individual plants (the size is given for each plant or for the space taken by 12 seedlings).

Use the lists provided to produce a detailed plan of your garden, along with a list of everything that you have spent. Remember, you only have £200 until you can begin selling produce to top up your supply of money!

Days 3 & 4

Item Price to buy per unit Area Selling price per unitApple tree £8.50 1m x 1 m £25

Tomatoes 60p 20cn x 40cm £1

Red cabbages 20p 40cm x 40cm 40p

Raspberry Cane £3.00 40cm x 40cm £6

Carrots 15p 20cm x 60cm 30p

Strawberries 30p 20cm x 20cm £1.20

Blackcurrants £2.50 60cm x 60cm £7.50

Runner Beans £1.60 40cm x 80cm £5

Plum Tree £11 1.4m x 1.4m £30

Flowers

Sunflowers 30p 20cm x 20cm £2

Roses £5.80 60cm x 60cm £10

Lavender £1.20 40cm x 40cm £1.50

Irises 80p 20cmx20cm £1.70

Tulips 60p 20cm x 20cm £1.50

Ornamental trees

Maple £12.50 1m x 1m N/a

Cherry £ 9.50 1.2m x 1.2m N/a

Lawn £6.50 per metre 1m x 1m N/a

Pond liner £6.50 per metre !m x 1m N/A

Wild flower seeds £4.95 1m x 1m N/A

Make sure that you draw your plants and trees to the correct scale.

If you are using the coloured sheets, check that the squared paper that you are using fits the scale that we have using.

Days 3 & 4

Days 3 & 4

Optional sheet for collage

Days 3 & 4

Optional sheet for collage

By the end of the week, we would like to see:

A carefully drawn plan of your garden – using collage or drawing or a mixture of both. It should be clear which section of your garden is kitchen/flowers/wildlife. Include a key for all hand drawn elements.

An itemised list of everything that you have spent and how much you have left – if anything!

A list of any extra money that you have earned by selling any of the things that you have grown. Have you made any profit? (Remember to subtract the initial cost of your plants/seeds etc..)

The cost of putting up a fence around your garden if it costs £5 per metre.

Finally, how would you judge whether your garden is successful? On the amount of vegetables produced? How you think that the flowers will look? How much wildlife you have attracted to your garden? How much produce you have sold? What do you think? Let us know when you send in photos of your plans.