| Level 9/10 Pack 2 Content/Teacher Notes |
Pages 3/4. Trigonometry in Three Dimensions.
Questions involving solids and trigonometry.
Pages 5/6. Trigonometry 3-d Models.
Cut outs to help visualise angles in 3-d solids. Stick in pupils books as an aid to support the questions in the previous 2 pages.
Pages 7/8. The Sine and Cosine Rules 1.
Labelling diagrams correctly. Finding missing lengths in triangles using the sine rule and the cosine rule.
Pages 9/10. The Sine and Cosine Rules 2.
Using the two rules together to find missing lengths in triangles.
Worded questions involving the sine and cosine rules.
Pages 11/12. Areas and the Sine Rule.
Finding areas of triangles using the sine rule. More worded questions.
Pages 13/14. Trigonometry, Sine and Cosine Rule. Exam Style Questions 1.
Typical examination style questions involving the sine and cosine rule.
Pages 15/16. Trigonometry, Sine and Cosine Rule. Exam Style Questions 2.
Typical examination style questions involving the sine and cosine rule.
Pages 17/18. Trigonometric Graphs 1.
Plotting the basic trigonometric graphs. Discovering amplitude and wavelength and the effect they have on the shape of trigonometric graphs. Using graphs to solve problems. Sketching trigonometric graphs.
Pages 19/20. Trigonometric Graphs 2.
Finding the equation of a trigonometric graph.
Pages 21/22. Trigonometric Graphs 3.
Using trigonometric graphs to find solutions to equations. Finding maximum and minimum values of functions. Typical examination style questions.
Pages 23/24. Making and using a Sundial.
An activity for maths clubs or activity days. Sun dials are rich in mathematical content. The maths contained here barely scratches the surface of all that is possible from the topic. Make a sundial, set it up and check its accuracy!
Pages 25/26. Probability 1. Revision.
A revision exercise to cover the style of questions that pupils should be familiar with. Pupils should revise the level 7/8 work if they do not successfully complete these exercises.
Pages 27/28. Probability 2. Revision.
As above.
Pages 29/30. Conditional Probability.
Introducing dependent events through worded questions. This leads eventually into tree diagrams.
Pages 31/32. Tree Diagrams (Dependent Events).
Typical questions involving tree diagram and dependent events.
Pages 33/34. Probability. Exam Style Questions 1.
Typical examination style questions involving all aspects of probability.
Pages 35/36. Probability. Exam Style Questions 2.
Typical examination style questions involving all aspects of probability.
Page 37. Probability Investigations.
Four investigations to stretch the more able mathematician. "Birthdays" looks at the probability of 2 people having the same birth date in a class. Geometrical
probability looks at an old experiment first performed by le Comte de Buffon. "Odds" and "National Lottery" explore horse racing and lottery odds
respectively.
Page 38. Schichi-fuku-jin
A probability game/investigation adapted to a Japanese theme.
Page 39. Solving Quadratics by Factorising.
Solving quadratics by factorising, progressing to rearranging equations then
factorising to solve equations.
Page 40. The nth term of a Quadratic.
Another method to find the nth term of a quadratic sequence. This method uses solving simultaneous equations.
Pages 41/42. Completing the Square.
Solving quadratics by completing the square. This leads to demonstrating how the equation is derived for solving quadratics.
Pages 43/44. Solving Quadratics by Formula.
Using the equation to solve quadratic equations. Worded questions involving solving quadratics.