Category Archives: Shape, Space & Measures

27. Pirates vs Sailors

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This is a simple compass directions game which can be extended as you see fit. The basic concept was thought up by some KS3 pupils who were designing an activity for KS2 pupils.

Aim
To practise using compass directions (4 or 8).
To develop the concept of bearings (extension)

Equipment
Chalk
Coloured tokens (or equivalent) – optional
Compasses – optional
Dressing up hats – optional

Set Up
At opposite sides of the playground draw out two boat shapes. Draw a compass half-way between them.

Pick a pirate captain and first mate.
Pick a Navy captain and first mate.
This is where any dressing up hats make it fun.

Split the rest of the class randomly into pirates or sailors – tokens can help here.

Compass Game
Each captain must stay in their ship.
The class spread out across the playground. The first mates are rescuing their crewmates based on their captains’ instructions.

Each captain shouts instructions eg 4 steps north, 2 steps west.
(The instructions can be varied depending on the level of difficulty eg 5 steps NW).
Once a crewmate is reached, they ‘swim’ back to their boat.
Variation: If a sailor rescues a pirate (or vice-versa), they are held hostage for 10 seconds.

Winners
The first team to rescue their whole crew.

Variation:
When a person is rescued, the first-mate becomes the captain and the rescued person becomes first-mate. In this way lots of pupils get to practise using directions.
If you need a quieter version of this activity, the captains can hold up mini whiteboards with directions, rather than shouting.

Extension
Develop the concept of bearings with the first mate starting next to the captain and following a bearing.

18. Similar triangles

This quick activity shows that although the sides change in similar triangles, the angles stay the same. It can also be used with enlargement.

Equipment
Two pieces of different coloured card (A5 or A6 is fine)
Ruler
Pencil
Scissors
Sticky tape

Step by step instructions
Two Lines
Draw a line parallel to the long sides of one piece of card (min 2cm from the edge)

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Wrap
Place the two pieces of card at 90 degrees to make a cross.

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Wrap the lined card around the unlined card

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Cut
Mark out a triangle using the pencil lines as a guide.
Cut along two sides as shown. It’s okay to tidy up a messy cut, so long as the line remains straight.

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Stick
Turn over the card and refold in the opposite direction. Stick the bottom edge of the folded card in place, as shown.

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Slide
Slot the second piece in place.

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Turn over.

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As the slider moves up and down a contrasting triangle appears and disappears.

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You can measure the sides & angles of every triangle you make.

This can be stuck into books by gluing along the folded edges, which still allows the slider to move.

13. Trigonometry Snapdragon

I wanted to boost my students’  level of understanding of trigonometry without switching off their enthusiasm. We’d investigated the tan ratio practically and introduced sin and cos.

Now the tricky bit – how to make picking and rearranging trig rules interesting!

Introducing the Trigonometry snapdragon:

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Pinch together the two things in the question eg opposite and hypotenuse.

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Look inside the snapdragon at the pinched portions. Follow the instructions eg Sin rule: know hyp, find opp or know opp, find hyp

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Unfold the appropriate section for your problem.

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You now have the correct rule, rearranged for your problem.

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Student Feedback
‘That is amazing’ and ‘Can I make one in the exam?’.

Download a digital version here: Trigonometry snapdragon v2

Also visit the updated snapdragon page for a blank template: Snapdragon fun