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 Choose the topic: Please select ..... A: Applying mathematics and solving problems B: Place value, ordering and rounding C: Integers, powers and roots D: Fractions, decimals, percentages, ratio and proportion E: Number operations and the relationships between them F: Mental methods and rapid recall of number facts G: Calculations: written methods H: Calculations: calculator methods I: Calculations: checking results J: Equations, formulae and identities K: Sequences, functions and graphs L: Geometrical reasoning: lines, angles and shapes M: Transformations N: Coordinates O: Construction & loci P: Measures and mensuration Q: Statistics R: Probability L: 1 2 3 4 5 6 7 8 9 10 11 12 13
Use Pythagoras' theorem and Trigonometry

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 on a corner then drag left or right, up or down. The 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.

 Dotty paper and pinboards L2: 3 x 3 pinboards L3: 4 x 4 pinboards L4: Lots of dots (sq cm) L5: Isometric dotty paper 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 pinboard with these buttons: 3x3, 4x4 or 5x5. One set of buttons for triangles, the other for quadrilaterals. Drag the corners of the shape. 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.

 Identify properties of angles and parallel and perpendicular lines, and use these to solve problems. L6: Angles generator The labels can be dragged about Use these buttons to select the type of angles: Top: angles on a straight line Middle: opposite angles Bottom: Angles round a point L10: Angles in parallel lines The lines can be dragged about using the hands. The buttons from the left: turn on or off the hands, the angles, the protractor. The angles and protractor can be dragged.

 Circle theorems 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.

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

 Christmas maths A Christmas tree drawn using Logo. L9: 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.

Active Maths Limited
registration no: 04713591