Fun end of term Maths activities are essential! Here are some awesome KS2 mathematical investigations and ways to keep your Key Stage 2 pupils on track, and if you can, get them out of the classroom, for the final days and weeks of summer term 2017.

You might be looking for reward your pupils for their hard work in the last few weeks (we're thinking a SATs well done). With the pressure off for the last few weeks of term, it's the perfect time to bust out some exciting Maths activities.

That's why we've created our list of 16 brilliant Maths activities for the end of term. Plus, as there's plenty of evidence demonstrating the positive impact that learning Maths outside of the classroom has on motivation and attitudes to learning, these activities have an outdoors twist. In case of a British summer, many of these investigations can also still be done in the classroom.

So get your pupils active, learning, and leave them with a love of Maths that will see them through the holidays with these primary Maths activities for the end of term. Many of these activities can also be given as summer holiday maths investigations too, to help reduce the inevitable "summer brain drain"

#### 1. End of term “sticky” Maths investigations:

##### Sticky numbers

If you have school grounds with lots of twigs lying around, this activity is a must. If not, you can always ask children to bring them in.

Get children collecting twigs. Once they have plenty, their challenge is to make the numerals 1-9.

Can they make number 2 with 2 twigs? What about number 3 with 3 twigs, and so on? Can they spot the angles they make? Can they a 3 with 3 angles? A 4 with 4 angles? A five with 5 angles?

How about Roman numerals? Could they make a clock face showing all the Roman numerals from I – XII? Let children snap sticks to size if they need to!

Finally, can children make sums using Arabic and Roman numerals? For example, 9 x VII = 63.

##### Sticky angles

Twigs are great for making shapes and demonstrating a variety of angles. Challenge children to make as many shapes as they can with right-angles. Can they make a regular dodecagon? How many interior right-angles does this shape have?

Though twigs aren’t perfectly straight, making right-angles can be great fun especially when children are challenged to build a 2D shape such as a house or a boat. Put children in a group and challenge them to make the biggest shape with 10 pieces of bamboo? Can they make a shape with 12 angles?

As an extension, can they make some 3D shapes, such as a tetrahedron using twigs and twine?

#### 2. Goldsworthy Maths activity

This one is a great follow up to the sticky activities and helps children discover the natural connection between Maths and art. Link your twig Maths work to sculptor Andy Goldsworthy by encouraging children to design and build their own Maths outdoor works of art.

Show examples of his work to inspire children. Get them to combine materials to make different shapes and collect stones, flowers and twigs to create a special environmental art sculpture. As an added bonus, photograph their creations and put them up around your classroom.

This Maths activity is perfect for the end of term because it allows children to explore and become enthused about Maths in a natural way, so they look forward coming back to Maths lessons over the holidays.

#### 3. Material measures

Ask children to explore outside and collect various natural materials such as sticks, leaves, pine cones, etc.

Next, ask them to measure various their own body parts and compare their findings with the items. For example, how many pebbles does it take to measure your arms? How many leaves does it take to measure your leg? Discuss why results may vary.

#### 4. End of term Maths daisy moments

This end of term Maths activity is probably best done outside. Mark out a quadrant on the grass and get children to count the numbers of daisies or flowers in a particular grassed area.

You can mark out the same sized quadrant in different areas, for example under a tree, by a fence or by a path. Then get children to compare the number of daisies in each section and show their findings on bar charts.

For an extra challenge, ask how could they calculate the blades of grass in a specified area?

#### 5. Measure me, treasure me Maths activity

This one is a classic that can be done outside or recreated in the classroom. Find the approximate age of a tree using just a tape measure or piece of string!

Children measure the distance around the trunk roughly one metre from the ground. As every 2.5cm of girth correlates to around one year's growth, they can then work out the age of the tree.

For example, a tree with a girth of 100 cm will be roughly 40 years old (100 ÷ 2.5 = 40).

If you can't get outside with the children, just get them to stand still and recreate trees themselves to measure (they'll have loads of fun pretending their arms are branches!)

#### 6. Caretaker Maths

Tell children they are going to help the school caretaker solve a problem: he has been asked to plant 10 trees in five rows, so that each row contains 4 trees. How would they do it?

For this problem, children can pretend to be the trees themselves and become part of the problem or they could use plastic marker PE cones.

Place them in groups and challenge and challenge them. Which group can solve the problem first?

Solution: the trees would be planted in a star shape (as below) with each tree planted at each apex and at each intersection point.

#### 7. Leafy end of term Maths activities

##### Leaf count

Once again, this end of term Maths activity is great for the outdoors, but easily recreated inside. Just create paper cut out of leaves for children to work with.

Guesstimate the number of leaves on a deciduous tree. To work this out, children count the number of leaves on one twig, estimate the number of twigs on a branch and the number of branches, then multiply these numbers together to get a rough total. For example:

• Number of leaves on one twig: 12
• Number of twigs on a branch: 22
• Number of branches on the tree: 16
• Total number of leaves on the tree: 12 x 22 x 16 = 4224
##### Leaf measure

Ask children to take a number of leaves from the same tree and then measure the length and width of each one. They can then record the range and calculate the average dimensions using mean, mode and median.

##### Leaf sort

Collect together various leaves from around the school grounds or a local park/area. Then compare them by colour, size, etc. using a Carroll Diagram.

This activity is discussion-rich because leaves come in all shapes, sizes and colours. As such, children can talk in depth about these differences and how best to catagorise them.

As an extension, why not conduct a survey of all the different types of trees in your area? You can record findings on a map with a key and then display the number of different types of tree on a bar chart.

##### Leafy Maths

Collect together different leaves and combine them to make different sums using the four operations. For example, horse chestnut leaves have five parts and so can represent the 5 times table - lay three of them side by side and multiply together.

Children can give their answer using other materials such as twigs or stones.

#### 8. End of term sticky Maths puzzles

If you don't have twigs, why not use rulers or glue sticks for this end of term Maths activities. Or failing getting outside to collec them, ask children to bring them in from their walk into school.

Use twigs to create a variety of ‘matchstick’ puzzles but on a larger scale. Show children an example like below (taken from the activities in Maths On Fire) and with their twigs ask them to copy the shape below: can they work out what to do?

Move two sticks to make 7 square rectangles.

There are hundreds of matchstick puzzles to try, so you won’t run out. Take a look at Maths on Fire or copy some examples from the net to use as problem solving challenges outside.

#### 9. Sticky Maths problems

Twigs and sticks are superb natural materials for exploring patterns and for exploring algebra. For example:

• Shape 1 = 4 sticks
• Shape 2 = 7 sticks
• Shape 3 = 10 sticks

Following this logic, can children work out how many sticks would be needed for Shape 10 (a shape with ten square rectangles joined together)? Can they find a rule?

Children could also investigate different shaped patterns such as triangles or houses, like below:

Or, instead of twigs, you could make some patterns using stones instead and ask children to investigate the next pattern is a sequence like below:

Then you can challenge children to work out what the fifth and sixth shapes in the pattern would look like. Can they develop an expression to show the number of stones needed for the nth shape? Take a look at Transum’s matchstick patterns for more ideas on what to do.

#### 10. Wishing well Maths investigation

Here’s one to act out on the playground or the field.

Tell children that a frog has fallen down a wishing well that is 21m deep. The frog jumped 3m every 15 mins then has to rest (the frog slips down 1m each time it rests). If the frog started at 18:00 what time did it reach the top of the wishing well?

For this you could use a line on a field (or draw one). In groups, children can re-enact the jumping and falling, measuring as they go.

Solution: it would take 195 mins to cover the distance and it would reach the top at 21:15.

#### 11. Leapfrog end of term Maths activity

This leapfrog maths investigation is a great one to act out. You could use chairs as the lily pads, mark out lily pads on the playground or use PE hoops.

Here are the rules:

• There are two families of frogs – red and yellow (children can wear coloured bibs to represent these).
• Each family contains 3 frogs.
• The red frogs live on the left of the pond, the yellow frogs on the right.
• One day they decide to swap places!
• There are 7 lily pads which the frogs must use to cross the pond.
• Frogs can only jump to empty lily pads.
• Frogs can only jump over ONE other frog at a time.
• Frogs don’t know how to jump backwards!

Can children master the sequence of moves and work out the minimum number of jumps needed to swap places?

Solution: the minimum number of jumps is 15.

As an extension, get them to try 4 frogs in each family with 9 lily pads. 5 frogs in each family with 11 lily pads. Finally, try 6 frogs in each family with 13 lily pads.

Check out this leapfrog Maths activity by Nrich for more ideas.

#### 12. Riverside crossing

Another classic we’ve all heard. It’s one that children love. Here’s the story:

A farmer returns from the market, where she bought a goat, a cabbage and a wolf. On the way home she must cross a river. Her boat is small and won't fit more than one of her purchases.

As such, she cannot leave the goat alone with the cabbage (because the goat would eat it) and she can’t leave the goat alone with the wolf (because the goat would be eaten). How can the farmer get everything on the other side?

Solution: take the goat to the other side. Go back, take the cabbage, unload it on the other side where you load the goat, go back and unload it. Take the wolf to the other side where you unload it. Go back for the goat.

#### 13. Water Maths end of term Maths activity

Playing with water inside can always end badly for whoever has to clean up! So this onoe might be best done outside:

At the water tap there are two containers: one holds 5 litres and the other holds 3 litres. How can you pour exactly 7 litres of water into a bucket?

Solution: fill the 5 litre container with water. Then pour 3 of the 5 litres of water into the 3 litre container leaving exactly 2 litres in the 5 litre container. Then pour these 2 litres into the bucket and then refill the five litre container and pour that into the bucket.

#### 14. Outdoor Maths trails

There’s tonnes of Maths learning potential in any school ground, so plan a Maths trail or treasure hunt. Grab a map and compass and plan a route for children to follow incorporating playground markings with Maths learning activities. Here are some examples of what you can include (with the topics they could cover):

• Shape hunts - always a favourite (angles, perimeter, area, tessellation, symmetry)
• Minibeast areas (real data)
• Rock trails (timelines).
• Fencing, shelters and furniture (oblique lines, parallel lines, perpendicular lines)

#### 15. Sports Maths games

The summer term is a golden opportunity to do plenty of measurements in relation to a range of sports events: throwing the discus and javelin, sprinting, long jump, and more.

You can also teach children how to use and read a stopwatch or stopwatch timer on a device.

Plus, bean bag target practice is always a hit. This is where you make a target on the ground (usually concentric circles with values) and children throw a number of bags onto the target. They can then add up their score, or value.

#### 16. Grid maths investigation

Make a 5 by 5 grid using string, or mark it out on the playground using chalk. It doesn’t need to be big (although it can be!).

Tell the children that you have ten items (bean bags, cones, tennis balls) that need to be placed inside the grid. Ask them if they can place the objects in the grid so that no more than two objects lie in a line in any direction.

Solution:

Making Maths activities for the end of term fun rewards children for their hard work. It also leaves a good impression in their minds, so they are excited to come back to Maths lessons after the holidays.

Tweet us @thirdspacetweet and let us know how you get on with these Maths activities or, better still, send us a picture of your pupils doing them!

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If you're looking for Maths specialist support in your primary school, we're offering a free trial of our 1-to-1 Maths tuition for your pupils. They'll work online with their own Maths specialist tutor on a lesson selected by the class teacher. We think your pupils will love it, but we know you'll want to see it in practice before making any decisions.

#### Further reading:

13 Outdoor Maths activities for Early Years to Year 6 (plus a bonus for all ages)

Sports Day Maths Activities for Key Stage 2

9 easy ways to engage every parent with their child's success before the end of term

16 engaging start of term KS2 Maths activities to tackle your pupils' 'summer brain drain'

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