Alan McSeveny, Rob Conway, Steve Wilkes

Signpost Maths 9

  1. Chapter 1
    Basic Number Skills
    1. 1:01 The language of mathematics
    2. 1:02 Diagnostic tests
    3. 1:03 Conversion facts you should know
    4. Fun Spot 1:03 What was this man’s name in 1978?
    5. 1:04 Rational numbers
    6. 1:05 Recurring decimals
    7. Challenge 1:05 Try this with repeating decimals
    8. Fun Spot 1:05 Speedy addition
    9. 1:06 Simplifying ratios
    10. 1:07 Rates
    11. 1:08 Significant figures
    12. 1:09 Approximations
    13. Reading maths 1:09 Take your medicine!
    14. 1:10 Estimation
    15. Maths terms 1
    16. Diagnostic Test 1: Basic Number Skills
    17. Chapter 1 Revision Assignment
    18. Chapter 1 Working Mathematically
  2. Chapter 2
    Working Mathematically
    1. 2:01 Solving Routine Problems
    2. 2:01A Rates
    3. 2:01B Ratio
    4. 2:01C Dividing a Quantity in a Given Ratio
    5. Challenge 2:01 Mixing Drinks
    6. 2:01D Percentages
    7. 2:01E Measurement
    8. Fun Spot 2:01 Bouncing Ball
    9. 2:02 Solving Non-routine Problems
    10. Fun Spot 2:02 What nationality is this man?
    11. Investigation 2:02 Line marking
    12. 2:03 Using Venn Diagrams (Extension)
    13. Challenge 2:03 Venn Diagrams
    14. Fun Spot 2:03 What kind of breakfast takes an hour to finish
    15. Investigation 2:03 Comparing speeds
    16. Math terms 2
    17. Chapter 2 Revision Assignment
    18. Chapter 2 Working Mathematically
  3. Chapter 3
    Algebraic Expression
    1. 3:01 Addition and subtraction in algebra
    2. 3:02 Multiplication in algebra
    3. 3:03 Division in algebra
    4. 3:04 Simplifying algebraic fractions
    5. 3:05 Grouping symbols
    6. Investigation 3:05 Checking algebraic simplification by substituti…
    7. 3:06 Simplifying expressions with grouping symbols
    8. 3:07 Factorising using common factors
    9. Fun Spot 3:07 In the theatre, when do you tell someone to ‘break…
    10. Maths terms 3 Maths terms
    11. Diagnostic Test 3 Diagnostic test
    12. Chapter 3 Revision assignment
    13. Chapter 3 Working mathematically
  4. Chapter 4
    Probability
    1. 4:01 Describing your chances
    2. Investigation 4:01 Throwing dice
    3. 4:02 Experimental probability
    4. Reading maths 4:02 Tossing a coin
    5. Investigation 4:02 Chance experiments
    6. 4:03 Theoretical probability
    7. Challenge 4:03 Computer dice
    8. Investigation 4:03 Chance happenings
    9. 4:04 The addition principle for mutually exclusive events
    10. Fun Spot 4:04 What are Dewey decimals?
    11. Investigation 4:04 Chance in the community
    12. Maths Terms 4
    13. Diagnostic test 4 Probability
    14. Chapter 4 Revision assignment
    15. Chapter 4 Working mathematically
  5. Chapter 5
    Deductive Geometry
    1. 5:01 Deductive reasoning in numerical exercises
    2. 5:01 A Exercises using parallel lines
    3. 5:01 B Exercises using triangles
    4. 5:01 C Exercises using quadrilaterals
    5. 5:02 Polygons
    6. Investigation 5:02A The angle sum of a polygon
    7. Investigation 5:02B The exterior angle sum of a convex polygon
    8. Investigation 5:02C Regular polygons and tessellations
    9. Investigation 5:02D Spreadsheet
    10. Fun Spot 5:02 The game of Hex
    11. 5:03 Similar figures
    12. Investigation 5:03 Enlargements of triangles
    13. 5:04 Investigating similarity
    14. 5:05 Finding unknown sides of similar figures
    15. Investigation 5:05 Photo enlargements
    16. Challenge 5:05 Finding the heights of tall objects
    17. 5:06 Deductive reasoning in non-numerical exercises
    18. 5:07 Congruent triangles
    19. 5:08 Providing two triangles are congruent
    20. 5:09 Using congruent triangles to find unknown sides and angles
    21. 5:10 Deductive geometry and triangles
    22. 5:11 Deductive geometry and quadrilaterals
    23. Investigation 5:11 Theorems and their converses
    24. Fun Spot 5:11 What do you call a man with a shovel?
    25. Maths terms 5
    26. Diagnostic Test 5 Deductive Geometry
    27. Chapter 5 Revision assignment
    28. Chapter 5 Working mathematically
  6. Chapter 6
    Indices
    1. 6:01 Review of indices
    2. Challenge 6:01 Family trees
    3. 6:02 The index laws
    4. Investigation 6:02 Exploring index notation
    5. 6:03 Negative indices
    6. Investigation 6:03 Zero and negative indices
    7. 6:04 Fractional indices
    8. Fun Spot 6:04 Why is a room full of married people always empty?
    9. Investigation 6:04 Reasoning with fractional indices
    10. 6:05 Scientific (or standard) notation
    11. Reading maths 6:05 Feral cats
    12. 6:06 Scientific notation and the calculator
    13. Investigation 6:06 Using scientific notation
    14. Maths terms 6
    15. Diagnostic test 6 Indices
    16. Chapter 6 Revision assignment
    17. Chapter 6 Working mathematically
  7. Chapter 7
    Perimeter, Area and Surface Area
    1. 7:01 Review of perimeter
    2. Investigation 7:01 Skirting board and perimeter
    3. 7:02 Perimeter of sectors and composite figures
    4. Fun Spot 7:02 Why is it so noisy at tennis?
    5. 7:03 Review of area
    6. Challenge 7:03 Area of scale drawings
    7. 7:04 Area of sectors and composite figures
    8. Challenge 7:04 Staggered starts
    9. 7:05 Surface area of a prism
    10. Fun Spot 7:05 How did the boy know he had an affinity with the sea…
    11. 7:06 Surface area of a cylinder
    12. Fun Spot 7:06 Let’s play with blocks
    13. 7:07 Surface area of composite solids
    14. Investigation 7:07 Perimeter and area
    15. 7:08 Practical applications of surface area
    16. Maths terms 7
    17. Diagnostic Test 7 Perimeter, Area and Surface Area
    18. Chapter 7 Revision assignment
    19. Chapter 7 Working mathematically
  8. Chapter 8
    Equations and Inequations
    1. 8:01 Solving Equations by Inspection
    2. 8:02 Inverse operations
    3. 8:03 Solving simple equations
    4. Investigation 8:03 Solving equations using a spreadsheet
    5. 8:04 Equations with pronumerals on both sides
    6. 8:05 Equations with grouping symbols
    7. Fun Spot 8:05 If I have 7 apples in one hand and 4 in the other, w…
    8. 8:06 Equations with fractions (1)
    9. Fun Spot 8:06 Who holds up submarines?
    10. 8:07 Equations with fractions (2)
    11. Challenge 8:07 Solving equations by ‘guess and check’
    12. 8:08 Graphing inequations
    13. 8:09 Solving inequations
    14. Fun Spot 8:09 Who ‘dunnit’?
    15. Maths terms 8
    16. Diagnostic Test 8 Equations and Inequations
    17. Chapter 8 Revision assignment
    18. Chapter 8 Working mathematically
  9. Chapter 9
    Consumer Arithmetic: Working and Budgeting
    1. 9:01 Working for others
    2. 9:02 Extra payments
    3. 9:03 Wage deductions
    4. 9:04 Budgeting
    5. 9:05 Best buy, shopping lists and change
    6. 9:06 Ways of paying and discounts
    7. Fun Spot 9:06 The puzzle of the missing dirham
    8. 9:07 Working for a profit
    9. Investigation 9:07 Let’s plan a musical show
    10. Maths terms 9
    11. Diagnostic test 9 Consumer Arithmetic
    12. Chapter 9 Revision assignment
    13. Chapter 9 Working mathematically
  10. Chapter 10
    Coordinate Geometry: Graphing Straight Lines
    1. 10:01 Number plane review
    2. Fun Spot 10:01 Battleships: a number plane game
    3. 10:02 Graphing straight lines
    4. Investigation 10:02 x- and y-intercepts
    5. 10:03 Horizontal and vertical lines
    6. Fun Spot 10:03 What is the easiest job in a watch factory?
    7. 10:04 The intersection of two straight lines
    8. Maths terms 10
    9. Diagnostic test 10 Coordinate Geometry: Graphing Straight Lines
    10. Chapter 10 Revision Assignment
    11. Chapter 10 Working mathematically
  11. Chapter 11
    Statistics
    1. 11:01 Frequency and cumulative frequency
    2. 11:02 Analysing data (1)
    3. Investigation 11:02n Codebreaking and statistics
    4. 11:03 Analysing data (2)
    5. Fun Spot 11:03 Which hand should you use to stir tea?
    6. Investigation 11:03 Adding and averaging
    7. 11:04 Grouped data
    8. Investigation 11:04 The ageing population
    9. 11:05 Measure of spread: inter-quartile range
    10. Fun Spot 11:05 Why did the robber flee from the music store?
    11. 11:06 Box-and-whisker plots
    12. 11:07 Measures of spread: Standard deviation
    13. 11:08 Comparing sets of data
    14. Maths terms 11
    15. Diagnostic test 11 Statistics
    16. Chapter 11 Revision assignment
    17. Chapter 11 Working mathematically
  12. Chapter 12
    Volume
    1. 12:01 Volume of prisms and cylinders: a review
    2. Investigation 12:01 Tank sizes …
    3. 12:02 Volume of composite prisms
    4. 12:03 Volume of a pyramid
    5. Investigation 12:03 The volume of a pyramid
    6. Fun Spot 12:03 How did the raisins win the war against the nuts?
    7. 12:04 Volume of a cone
    8. 12:05 Volume of a sphere
    9. Investigation 12:05 Calculating volume by displacement of water
    10. 12:06 Volume of composite solids
    11. 12:07 Practical problems involving volume
    12. Maths terms 12
    13. Diagnostic test 12 Volume
    14. Chapter 12 Revision assignment
    15. Chapter 12 Working mathematically
  13. Chapter 13
    Formulae and Problem Solving
    1. 13:01 Generalised arithmetic
    2. Fun Spot 13:01 How much logic do you have?
    3. 13:02 Substitution
    4. 13:03 Formulae: Evaluating the subject
    5. Investigation 13:03 Spreadsheet formulae
    6. 13:04 Formulae: Equations arising from substitution
    7. 13:05 Translating problems into equations
    8. Reading maths 13:05 Read carefully (and think)!
    9. 13:06 Further problem solving using equations
    10. Fun Spot 13:06 Why are cooks cruel?
    11. Maths terms 13
    12. Diagnostic test 13 Formulae and Problem Solving
    13. Chapter 13 Revision assignment
    14. Chapter 13 Working mathematically
  14. Chapter 14
    Coordinate Geometry
    1. 14:01 The distance between two points
    2. 14:02 The distance formula
    3. Challenge 14:02 Formula challenge
    4. 14:03 The midpoint of an interval
    5. 14:04 The gradient of a line
    6. Investigation 14:04 Gradients and building
    7. 14:05 The gradient formula
    8. 14:06 The gradient–intercept form of a straight line: y = mx + b…
    9. Fun Spot 14:06 What does y = mx + b tell us?
    10. Fun Spot 14:06 Why did the banana go out with a fig?
    11. Maths terms 14
    12. Diagnostic test 14 Coordinate Geometry
    13. Chapter 14 Revision assignment
    14. Chapter 14 Working mathematically
  15. Chapter 15
    Consumer Arithmetic: Borrowing and Investing
    1. 15:01 Simple interest
    2. Reading maths 15:01 Why not buy a tent?
    3. 15:02 Solving simple interest problems
    4. 15:03 Compound interest
    5. Fun Spot 15:03 What is the difference between a book and a bore?
    6. 15:04 Depreciation
    7. 15:05 Compound interest and depreciation formulae
    8. Investigation 15:05 Compound interest tablesi
    9. 15:06 Reducible Interest
    10. Investigation 15:06 Reducible home loan spreadsheet
    11. 15:07 Borrowing Money
    12. 15:08 Home Loans
    13. 15:09 Murabaha and Musharaka
    14. Maths terms 15
    15. Diagnostic Test 15 Consumer Arithmetic
    16. Chapter 15 Revision Assignments
    17. Chapter 15 Working Mathematically
  16. Chapter 16
    Simultaneous Equations
    1. Investigation 16:01A Solving problems by ‘guess and check’
    2. 16:01 The graphical method of solution
    3. Investigation 16:01B Solving simultaneous equations using a graphi…
    4. Fun Spot 16:01 What did the book say to the librarian?
    5. 16:02 The algebraic method of solution
    6. 16:03 Using simultaneous equations to solve problems
    7. Reading maths 16:03 Breakfast time
    8. Maths terms 16
    9. Diagnostic Test 16 Simultaneous Equations
    10. Chapter 16 Revision assignment
    11. Chapter 16 Working mathematically
  17. Chapter 17
    Trigonometry
    1. 17:01 Right-angled triangles
    2. 17:02 Right-angled triangles: the ratio of sides
    3. 17:03 The trigonometric ratios
    4. 17:04 Trig. ratios and the calculator
    5. Investigation 17:04 The exact values for the trig. ratios of 30°,…
    6. 17:05 Finding an unknown side
    7. 17:06 Finding an unknown angle
    8. 17:07 Miscellaneous exercises
    9. 17:08 Problems involving two right triangles
    10. Fun Spot 17:08 What small rivers flow into the Nile?
    11. Maths terms 17 Trigonometry
    12. Diagnostic Test 17 Trigonometry
    13. Chapter 17 Revision assignment
    14. Chapter 17 Working mathematically
  18. Chapter 18
    Answers: Chapter 1
  19. Chapter 19
    Answers: Chapter 2
  20. Chapter 20
    Answers: Chapter 3
  21. Chapter 21
    Answers: Chapter 4
  22. Chapter 22
    Answers: Chapter 5
  23. Chapter 23
    Answers: Chapter 6
  24. Chapter 24
    Answers: Chapter 7
  25. Chapter 25
    Answers: Chapter 8
  26. Chapter 26
    Answers: Chapter 9
  27. Chapter 27
    Answers: Chapter 10
  28. Chapter 28
    Answers: Chapter 11
  29. Chapter 29
    Answers: Chapter 12
  30. Chapter 30
    Answers: Chapter 13
  31. Chapter 31
    Answers: Chapter 14
  32. Chapter 32
    Answers: Chapter 15
  33. Chapter 33
    Answers: Chapter 16
  34. Chapter 34
    Answers: Chapter 17
  35. Chapter 35
    Answers to ID Cards