Pythagoras' theorem and Trigonometry
A right-angled triangle generator
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
on a corner then drag left or right, up or down.
trig ratios can be shown: click next to the one you want to see.
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.
properties of angles and parallel and perpendicular lines, and use these
to solve problems.
The labels can be dragged about
these buttons to select the type of angles:
angles on a straight line
Angles round a point
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.
Five different interactive diagrams:
Angles in a semi-circle
Exterior angles of a cyclic quadrilateral
Angle at the centre and on the circumference
Tangent to a circle
the points about. The angles can also be dragged about.
Some of the angles can be shown or hidden.
the coordinates of points A and B, calculate the length of AB (Pythagoras'
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.
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)
A Christmas tree drawn using Logo.
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.
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!
you've subscribed to Active Worksheets there are a couple
of worksheets you could use.
registration no: 04713591
29 St James Road, Ilkley, West Yorkshire, LS29 9PY
tel: +44 (0) 1943 431024
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