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9 10 11 12 13
Use Pythagoras' theorem and Trigonometry
Link to the activity

L1: A right-angled triangle generator

A resource which can be used when teaching Pythagoras' Theorem and/or Trigonometry . Generate different right-angled triangle by dragging the corners of the triangle. The dimensions can be turned off or on by clicking on the buttons.
The trig ratios can be shown or hidden by clicking next to each trig ratio.

Click in a corner then drag.Click on a corner then drag left or right, up or down. The trig ratiosThe trig ratios can be shown: click next to the one you want to see.

L12: Right-angled triangles
Six options: 1. Show two sides 2. The hypotenuse and another side 3. A mixture of sides
4. An angle and the hypotenuse 5. An angle and a side 6. A mixture of angles and/or sides
Click in the blue rectangle to reveal the answers.

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Dotty paper and pinboards

Link to 4x4 pinboards
L3: 4 x 4 pinboards

Link to square dotty paper
L4: Lots of dots (sq cm)
Load the activity
Triangles and quadrilaterals
on pinboards

L11: Pinboards
Make triangles and quadrilaterals on pinboards. Loads of uses: properties of triangles and quadrilaterals, symmetry, angles, area....
Choose the size of the pinboardChoose the size of the pinboard with these buttons: 3x3, 4x4 or 5x5. One set of buttons for triangles, the other for quadrilaterals. Drag the corners of the shape.

Brightness buttons
Use these buttons to change the brightness of the nails (dots) on the pinboard,
the rings on the corners of the shapes and the grid.

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Identify properties of angles and parallel and perpendicular lines, and use these to solve problems.

Link to activity

L6: Angles generator
The labels can be dragged about

The angle buttonsUse these buttons to select the type of angles:
Top: angles on a straight line

Middle: opposite angles

Bottom: Angles round a point

Load activity
L10: Angles in parallel lines
The lines can be dragged about using the hands.Move the hands
The buttons used
The buttons from the left:
turn on or off the hands, the angles, the protractor. The angles and protractor can be dragged.
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Circle theorems

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L13: Angles in circles
Five different interactive diagrams:
Angles in a semi-circle
Cyclic quadrilaterals
Exterior angles of a cyclic quadrilateral
Angle at the centre and on the circumference
Tangent to a circle

Drag the points about. The angles can also be dragged about.
Some of the angles can be shown or hidden.

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Use Pythagoras' theorem

Example of question

 

Link to activity
Use Pythagoras' Theorem

L7: Use Pythagoras' Theorem
Given the coordinates of points A and B, calculate the length of AB (Pythagoras' Theorem)

 

Use these buttons to turn the coordinates and the red triangle on or off.L8: Interactive distance- between-two-points resource: drag the two black points. The distance between the two points is worked out using Pythagoras' Theorem. Click in the big answer box to see the working out.

Use the buttons to turn the red triangle and coordinates on or off. Drag the corners of the red triangle (a large red circle will appear)

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Christmas maths
Have a look at Angles in Christmas Trees
A Christmas tree drawn using Logo.

HollyL9: Angles in Christmas trees
Two Christmas maths activities:
Use the computer programming language Logo to draw a Christmas tree.
First decide on the internal angle of the pointy bits on the tree and an angle in the tub. Then work out all the other angles. Write Logo procedures to draw the tree. It will soon show whether you've worked out all the angles.

Instead of using Logo, draw the Christmas tree accurately using a ruler and protractor. If you don't get back to the start it's not accurate!

If you've subscribed to Active Worksheets there are a couple of worksheets you could use.

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