Category Archives: Shape, Space & Measures

85. App of the day: Smart Tools

Smart tools was described by one reviewer as the ‘swiss army knife’ of apps. I think I agree!

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You can measure distance, angles, direction, height, sound, vibration, bearings and even turn your phone into a torch, spirit level or a magnifying glass! It’s very handy for practical activities outside. The set up for different measuring elements gives you the maths behind the result too.

I’ve used it to do bearings activities and treasure hunts. I’ve also used the height measuring mode as an introduction to pythagoras.

Official demo video

Individual elements can be purchased separately for free or 65p (correct at time of publishing) each. Or you can download everything in one go. Search for ‘smart tools’ on the Play store or go to: Smart tools website

82. Gadget of the Day 1

What are these?

compasses1

I came across them when I was making a circle skirt and it occurred to me they’d be a great teacher tool. They’re generally known as a yardstick compass. You attach the pointy end to one end of a metre (or yard) stick and the pencil end at your desired radius. Each end has a cap which tightens to the height of your ruler. Hey presto – a giant pair of compasses! Never again will you search high and low for something big and circular to draw around or try using a drawing pin and a piece of string.

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There are lots of American websites that sell them, but in the UK I’ve only seen them on Art supply sites eg Handover.co.uk

80. Sunshine and constructions

Here is a quick consolidation/revision/application task for constructions, which involves very little preparation. If the sun isn’t shining you could always adapt this for indoors.

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Equipment
Chunky chalk (look in your local pound shop)
String
Straight edge and tape measure or just a metre stick
Usual classroom textbook/notes

Task
A company has sketched out a set of new signs and it is your job to accurately draw them without a protractor. The task is differentiated by sign design.

Sign 1
Made from a rectangle and two equilateral triangles.

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Sign 2
Same as sign 1, but with a border of constant width

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Sign 3
Made from a rectangle, an equilateral triangle and a right angled isosceles triangle.

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Sign 4
Same as sign 3, with a border of constant width.

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Skills used:
Constructing an equilateral triangle (1,2,3,4)
Constructing the locus of a moving point (2,4)
Bisecting an angle (3,4)
Constructing a perpendicular bisector (optional in all cases)

Activity
Once the signs are allocated, each group must present a plan to the teacher on how they will draw it. They may use their notes, textbooks and smartphones (if your school allows this).

When the groups are outside, they can easily increase their understanding by moving on to the next design or developing their own arrows.

Examples of work

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Health Warning!
These signs, when viewed from the end, can look rather like rockets. All I will say is:
rockets + construction arcs + pink chalk + teenager boys’ level of humour= ….

78. Gather round one and all!

All you need is you, a class and a playground. Easy!

Loci around a single point
You stand in the middle of the yard and the class must all stand 2m away. Hopefully you will end up with a circle of radius 2m. Discuss why this happens.

Equal distance from two lines/Bisecting an angle
Find part of the playground which has two edges, ideally at 90 degrees. The class must stand the same distance from each edge – this should look like an angle bisector. Discuss.

Locus of a line
Get a few pupils to stand in a straight line. Everyone must stand 1m away from them. Discuss why the lines are parallel and the ends are semi-circles.

Locus around an object
Repeat the previous task around an object eg building, bench. Why do right angles produce quarter circle loci?

64. Through the square window

Did you get the ‘Through the square window’ reference? Hmmm… for those too young to remember the BBC programme ‘Playschool’ here is a picture:

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This activity is all about regular polygons. It would be best for primary pupils or lower ability KS3.

Equipment
Clear lids from big yoghurt pots.
Sharpie markers or similar
Post-it notes
Pencil, ruler, protractor, compasses

Prep

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On the reverse of a post-it note, draw a regular polygon.

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Stick the post-it on the underside of the lid.
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Trace the shape onto the plastic lid.
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Label it.

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You have just made a shape viewer!

Activity
Give pupils shape viewers and challenge them to find as many ‘real life’ examples of each shape as they can in the classroom or playground.

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As the lids are clear, pupils can look through them to find the shapes.

Note
You could make a rectangle viewer and challenge pupils to explain why it isn’t regular.

36. Pythagoras Squirrel

I stumbled across this website ages ago and I still go back for this activity.

Larry the Squirrel

Who knew a crazy squirrel could take the fear out of basic pythagoras?

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The picture is Secret Squirrel and Morroco Mole – if you remember them, you’ve probably been teaching quite a while …

32. SimCon: one set of cards, four games

This activity started as a simple card game to assess if pupils knew the difference between Similarity and Congruence. It’s grown into four tasks appropriate for small groups or whole classes, whether it is sunny or rainy.

Aim
To identify when simple shapes are similar and when they are congruent.

Equipment
Two identical sets of cards, either playing card size or A3/4. The cards can be downloaded in pdf or Word format here.

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Mini-whiteboards (optional)
Chalk (optional)

Game 1: Snap
Using a set of playing cards, pairs or small groups of pupils play snap. Usual rules apply, with a twist. Instead of shouting ‘Snap’, you shout ‘Similar’ or ‘Congruent’. If you get it right, you win the cards. If you get it wrong, your opponent gets the cards.

Game 2: Find a …
Each pupil is given a card. The teacher says ‘Congruent’ and they must find a partner who is congruent to them. The teacher checks the pairs.

The pupils swap cards with their partner and the game restarts. The teacher continues to say congruent or similar until everyone has tried out a variety of shapes.

Game 3: Quiet cards
The teacher has two stacks of shuffled A4 cards at the front and the pupils have whiteboards. The teacher holds up two cards and the pupils secretly write down ‘Similar’, ‘Congruent’ or ‘Neither’. The class then share their results.

Variation: If a pupil gets it wrong, their whiteboard is taken away. The winner is the last pupil with a whiteboard.

Game 4: Loud cards
This works on a similar principle to quiet cards, except you are outside and louder.

Using chalk, allocate an area for each of the three answers. When the teacher holds up a pair of cards the pupils walk* to the correct answer. Pupils can be eliminated in a similar way to Game 4.

*Disclaimer: You know they are going to be running to their answers.