| Level 9/10 Pack 1 Content/Teacher Notes |
Pages 3/4. Accuracy of Measurement Notes.
Notes about accuracy of measurement and the lower and upper bound.
This includes four rules calculations with rounded numbers and finding the range in which the answers are valid.
Pages 5/6. Accuracy of Measurement 1.
Four rules calculations with rounded numbers, calculating the answer and then the lower and upper bounds of the answers.
Pages 7/8. Accuracy of Measurement 2.
Calculating the percentage error and the maximum percentage error for four rules calculations with rounded numbers.
Pages 9/10. Accuracy of Measurement 3.
Typical examination questions covering accuracy of measurement.
Pages 11/12. Variation 1.
The worksheets revise direct proportion and concepts which pupils should already be familiar with. This is then extended to direct proportion including squares, cubes and square roots.
Pages 13/14. Variation 2.
The first page deals with basic inverse proportion. This is then extended to
indirect proportion including squares, cubes and square roots.
Pages 15/16. Direct and Indirect Proportion.
Typical examination questions covering direct and indirect proportion.
Pages 17/18. Indices (Powers).
Introducing negative indices by pattern and then evaluating numbers involving negative indices. Indices that represent roots. Whole numbers and fractions that have negative and fraction indices.
Pages 19/20. Indices 1/2.
Patterns using indices.
Pages 21/22. Compound Growth and Decay 1. (Exponential Functions).
Questions that show compound growth and graphs. Investigation to highlight the difference between uniform and compound growth. Compound decay.
Pages 23/24. Compound Growth and Decay 2. (Exponential Functions).
Typical examination questions covering exponential functions.
Pages 25/26. Exponential Functions.
Carbon dating and radioactivity. Notes on radiometric dating.
Pages 27/28. Surds.
Multiplying and dividing surds. Rationalising expressions that contain surds.
Pages 29/30. Rational and Irrational Numbers 1.
Showing numbers to be rational. Converting decimals and recurring decimal to simple fractions.
Pages 31/32. Rational and Irrational Numbers 2.
Irrational numbers. Which are rational numbers and which are irrational numbers? Typical examination questions covering rational and irrational numbers.
Page 33. Using Surds in Trigonometry.
Using the trigonometrical ratios and Pythagoras' Theorem to find lengths of sides of right angled triangles.
Page 34. Trigonometric Ratios for 45°, 30° and 60° in Surd Form.
Finding these values.
Page 35. Using Trigonometric Ratios for 45°, 30° and 60° in Surd Form.
Finding missing values in diagrams using the trigonometric ratios for 45°, 30° and 60° in surd form.
Pages 36/37. Investigations with Irrational and Prime Numbers.
Seven investigations, four of which are enjoyable paper folding problems.
Page 38. Proving Irrationality.
Proof by contradiction.
Pages 39/40. Calculating .
Using spreadsheets to calculate . Pierre de Fermat's Prime Numbers and more on rationalising.
Page 41. Approximating 2 by Iteration.
As it says.
Page 42. Powers of 10/Logarithms.
Investigating decimal powers of 10 in a spreadsheet. Logarithms.