Level 6 Pack 2 Info

Pages 3/4. Translations.
Translating shapes around a grid. Find the vector that translates an object to an image, then move an object about using vectors.

Pages 5/6. Treasure Island/Island Hopping.
Translation questions set in context of moving about a map. The notation of using a "+" between each vector can be used at a later level whenintroducing vector addition. Find the vector from start to end of journey and then add the "route vectors". Using letters as well as place names means any pupil finising early can quickly be set lots of other routes using the letters.

Page 7. Aliens. A translation game.
Shoot the aliens using vectors to save the earth!

Page 8. Race Track.
A translation game. Use vectors to negotiate a race track.

Pages 9/10. Translate the Joke.
Using vectors to move around a grid and translate jokes.

Pages 11/12. Reflections.
Finding reflections. Finding, by inspection or construction, mirror lines. It would be expected that pupils know equations parallel to the x and y axis, as well as y = x and y = -x.

Pages 13/14. Rotations 1.
Rotating objects through a given number of degrees about a centre of rotation. Tracing paper would be useful here.

Pages 15/16. Rotations 2.
Locating centres of rotation. Instructions how to construct a centre of rotation using the perpendicular bisectors. Describing a rotation given the object and image.

Page 17. Finding Mirror Lines by Construction.
A "disposable" sheet used to construct mirror lines using the perpendicular bisector. Try to get pupils to keep their constructions small as there will be some overlap between different sets of objects.

Page 18. Finding the Centre of Rotation by Construction.
A "disposable" sheet used to construct centres of rotations using theperpendicular bisector. Again, try to get pupils to keep their constructions small as there will be some overlap between different sets of objects. This is adifficult sheet to complete accurately, and may only be suitable for more able pupils at this level.

Pages 19/20. Enlargements 1.
Given an object and image describe exactly the enlargement. All enlargements have a positive integer scale factor. The reverse aspect is finding the image, given the scale factor and centre of enlargement.

Pages 21/22. Enlargments 2.
Given an object and image describe exactly the enlargement. The enlargements now have fractional scale factors. The reverse aspect is finding the image, given the fractional scale factor and the centre of enlargement.

Pages 23/24. Parallel Lines 1.
Revision of general angle properties including corresponding and alternate angles.

Pages 25/26. Parallel Lines 2.
Interior angles, leading to all angle properties of parallel lines. Specialtriangles within parallel lines.

Pages 27/28. Bearings and 6-figure Grid References.
Finding locations of ships by constuction on the sheet. Scales and 6-figure grid references need to be known before this can be attempted.

Pages 29/30. Pirate Trail/Countryside Walk.
Follow the trails, measuring bearings and finding actual distances from thescale as you progress. This and the Bearings Trail have been put into a "real life" context. Bearings and distances are not exact. Pupils will have to make decisions as to which measurement to take. This also introduces scaling up errors, if you are 1mm out, what is this error when scaled up ?

Pages 31/32. Bearings Trail 1/2.
Solve the problems using "real life" bearings and scales.

Pages 33-36. Bearings and Scale Drawings 1/2.
Traditional worded questions that pupil have to translate into scale drawings to be able to answer the questions posed.

Page 37. Using Isometric Paper.
Two different ways of representing 3-dimensional shapes on paper. How to draw solids on isometric paper. When all the solids are made they form a puzzle in themselves. The 7 solids can be put together to form a 3x3x3 cube.

Pages 38/39. Two and Three Dimensional Work.
Using the skills learnt in the previous worksheet, drawing solids on isometric paper. An investigation on polycubes.

Page 40. Plans and Elevations (Solids).
Matching solids to their plans and elevations. The make up of these solids have increased in complexity from the solids in the first plans and elevations sheet at level 5.

Pages 41/42. Plans and Elevations (Finding Solids).
Using plans and elevations pupils have to make a solid then draw it on isometric paper. This is a very difficult sheet. It needs to be attempted from coloured sheets to make it a more accessible to everyone.

 

Level 6 Pack 3 Info