Alan McSeveny, Rob Conway, Steve Wilkes

Signpost Maths 10

  1. Chapter 1 Review of Grade 9
    1. 1:01 Basic number skills
    2. 1:02 Algebraic expressions
    3. 1:03 Probability
    4. 1:04 Geometry
    5. 1:05 Indices
    6. 1:06 Measurement
    7. 1:07 Equations and inequations
    8. 1:08 Consumer arithmetic
    9. 1:09 Coordinate geometry
    10. 1:10 Statistics
    11. 1:11 Formulae and problem-solving
    12. 1:12 Graphs of physical phenomena
    13. Chapter 1 Working mathematically
  2. Chapter 2 Congruent Triangles
    1. 2:01 Congruent triangles
    2. 2:02 Applying the congruency tests
    3. Fun Spot 2:02 What do you call a man with a shovel?
    4. 2:03 Using congruent triangles to find sides and angles
    5. 2:04 Deducing properties of the special triangles
    6. 2:05 Deducing properties of the special quadrilaterals
    7. Maths terms 2
    8. Diagnostic Test 2 Congruent Triangles
    9. Chapter 2 Revision assignment
    10. Chapter 2 Working mathematically
  3. Chapter 3 Probability
    1. 3:01 Probability review
    2. Investigation 3:01 Chance experiments
    3. Fun Spot 3:01 What is the difference between a songwriter and a co…
    4. 3:02 Organising outcomes of compound events
    5. Reading maths 3:02 Dice football
    6. 3:03 Dependent and independent events
    7. Investigation 3:03 Will it be a boy or a girl?
    8. 3:04 Probability using tree and dot diagrams
    9. Reading maths 3:04 Probabilities given as odds
    10. 3:05 Probability using tables and Venn diagrams
    11. Investigation 3:05 Games of chance
    12. 3:06 Simulation experiments
    13. Fun Spot 3:06 Random numbers and calculator cricket
    14. Investigation 3:06 Two-stage probability experiments
    15. Challenge 3:06 Computer dice
    16. Maths terms 3
    17. Diagnostic Test 3 Probability
    18. Chapter 3 Revision assignment
    19. Chapter 3 Working mathematically
  4. Chapter 4 Simultaneous Equations
    1. Investigation 4:01A Solving problems by 'guess and check'
    2. 4:01 The Graphical Method of Solution
    3. Investigation 4:01B Solving Simultaneous equations using a graphic…
    4. Fun Spot 4:01 What did the book say to the librarian?
    5. 4:02 The Algebraic Method of Solution
    6. 4:03 Using Simultaneous Equations to Solve Problems
    7. Reading maths 4:03 Breakfast time
    8. Maths terms 4
    9. Diagnostic Test 4 Simultaneous Equations
    10. Chapter 4 Revision Assignment
    11. Chapter 4 Working Mathematically
  5. Chapter 5 Coordinate Geometry
    1. 5:01 The distance beween two points
    2. 5:02 The distance formula
    3. Challenge 5:02 Formula challenge
    4. 5:03 The midpoint of an interval
    5. 5:04 The gradient of a line
    6. Investigation 5:04 Gradients and building
    7. 5:05 The gradient formula
    8. 5:06 The gradient-intercept form of a straight line y = mx + b
    9. Investigation 5:06 What does y = mx + b tell us?
    10. Fun Spot 5:06 Why did the banana go out with a fig?
    11. 5:07 Equation of a straight line, given point and gradient
    12. 5:08 Equation of a straight line, given two points
    13. 5:09 Writing the equation of a straight line in general form
    14. 5:10 Parallel lines
    15. 5:11 Perpendicular lines
    16. 5:12 Using coordinate geometry
    17. 5:13 Graphing inequalities on the number plane
    18. Maths terms 5
    19. Diagnostic Test 5 Coordinate Geometry
    20. Chapter 5 Revision assignment
    21. Chapter 5 Working mathematically
  6. Chapter 6 Surface Area and Volume
    1. 6:01 Review of surface area
    2. 6:02 Surface area of a pyramid
    3. 6:03 Surface area of a cone
    4. Investigation 6:03 The surface area of a cone
    5. 6:04 Surface area of a sphere
    6. Investigation 6:04 The surface area of a sphere
    7. 6:05 Volume of prisms and cylinders: a review
    8. Investigation 6:05 Tank sizes
    9. 6:06 Volume of composite prisms
    10. 6:07 Volume of a pyramid
    11. Investigation 6:07 The volume of a pyramid
    12. Fun Spot 6:07 How did the raisins win the war against the nuts?
    13. 6:08 Volume of a cone
    14. 6:09 Volume of a sphere
    15. Investigation 6:09 Calculating volume by displacement of water
    16. 6:10 Volume of composite solids
    17. 6:11 Practical problems involving volume
    18. Maths terms 6
    19. Diagnostic Test 6 Surface Area and Volume
    20. Chapter 6 Revision assignment
    21. Chapter 6 Working mathematically
  7. Chapter 7 Statistics
    1. 7:01 Review of statistics
    2. 7:02 Measures of spread: inter-quartile range
    3. Fun Spot 7:02 Why did the robber flee from the music store?
    4. 7:03 Box-and-whisker plots
    5. 7:04 Measures of spread: standard deviation
    6. 7:05 Comparing sets of data
    7. Maths terms 7
    8. Diagnostic Test 7 Statistics
    9. Chapter 7 Revision Assignment
    10. Chapter 7 Working mathematically
  8. Chapter 8 Similar Triangles
    1. 8.01 Review of similarity
    2. 8:02 Similar triangles
    3. 8:02A Matching angles
    4. 8:02B Ratios of matching sides
    5. Fun Spot 8:02 Drawing enlargements
    6. 8:03 Using the scale factor to find unknown sides
    7. Fun Spot 8:03 What happened to the mushroom that was double parked…
    8. 8:04 Problem-solving with similar triangles
    9. 8:05 Sides and areas of similar figures
    10. 8:06 Similar solids
    11. Investigation 8:06 King Kong - could he have lived?
    12. Maths terms 8
    13. Diagnostic test 8 Similar Triangles
    14. Chapter 8 Revision assignment
    15. Chapter 8 Working mathematically
  9. Chapter 9 Further Algebra
    1. 9:01 Binomial products
    2. 9:02 Special products
    3. Investigation 9:02 The square of a binomial
    4. 9:03 Miscellaneous examples
    5. Investigation 9:03 Using the difference of two squares
    6. Fun Spot 9:03 What did the caterpillar say when it saw the butterf…
    7. 9:04 Factorising using common factors
    8. 9:05 Factorising by grouping in pairs
    9. 9:06 Factorising using the difference of two squares
    10. 9:07 Factorising quadratic trinomials
    11. 9:08 Factorising further quadratic trinomials
    12. Challenge 9:08 Another factorising method for harder trinomials
    13. 9:09 Factorising: miscellaneous types
    14. 9:10 Simplifying algebraic fractions: multiplication and division
    15. 9:11 Addition and subtraction of algebraic fractions
    16. Maths terms 9
    17. Diagnostic Test 9 Further Algebra
    18. Chapter 9 Revision assignment
    19. Chapter 9 Working mathematically
  10. Chapter 10 Further Equations
    1. 10:01 Quadratic equations: solution using factors
    2. 10:02 Solution by completing the square
    3. 10:03 The quadratic formula
    4. Investigation 10:03 How many solutions?
    5. 10:04 Choosing the best method
    6. Fun Spot 10:04 What is an Italian referee?
    7. 10:05 Problems involving quadratic equations
    8. 10:06 Simultaneous equations involving a quadratic equation
    9. Fun Spot 10:06 Did you known that 2 = 1?
    10. 10:07 Solving literal equations (1)
    11. 10:08 Solving literal equations (2)
    12. Maths terms 10
    13. Diagnostic Test 10 Further Equations
    14. Chapter 10 Revision assignment
    15. Chapter 10 Working mathematically
  11. Chapter 11 Further Number
    1. 11:01 The real number system
    2. Investigation 11:01 π
    3. 11:02 Surds
    4. Reading maths 11:02 Proof that √2 is irrational
    5. 11:03 Addition and subtraction of surds
    6. 11:04 Multiplication and division of surds
    7. 11:05 Binomial products
    8. 11:06 Rationalising the denominator
    9. Fun Spot 11:06 What nationality is this man?
    10. Investigation 11:06 f-stops and √2
    11. 11:07 Fractional indices
    12. Challenge 11:07 Reasoning with fractional indices
    13. Maths terms 11
    14. Diagnostic Test 11 Further Number
    15. Chapter 11 Revision assignment
    16. Chapter 11e Working mathematically
  12. Chapter 12 Further Deductive Geometry
    1. 12:01 Deductive reasoning in numerical exercises
    2. 12:01A Exercises using parallel lines
    3. 12:01B Exercises using triangles
    4. 12:01C Exercises using quadrilaterals
    5. 12:02 Deductive reasoning in non-numericalexercises
    6. Fun Spot 12:02 What happened to Rabi when he jumped off the cliff?…
    7. 12:03 Congruent triangle proofs
    8. 12:04 Deductive geometry and triangles
    9. 12:05 Deductive geometry and quadrilaterals
    10. Investigation 12:05 Theorems and their converses
    11. 12:06 Pythagoras’ theorem and its converse
    12. Investigation 12:06 Proving Pythagoras’ theorem
    13. 12:07 Similar triangle proofs
    14. Maths terms 12
    15. Diagnostic Test 12 Further Deductive Geometry
    16. Chapter 12 Revision assignment
    17. Chapter 12 Working mathematically
  13. Chapter 13 Curve Sketching
    1. 13:01 Straight line graphs: a review
    2. 13:02 The parabola
    3. 13:03 Graphs of parabolas
    4. Investigation 13:032 Equations of the form of y = (x – p)² + q
    5. 13:04 Parabolas of the form y = ax² + bx + c
    6. Challenge 13:04 Using a graphics calculator
    7. 13:05 The hyperbola
    8. 13:06 Sketching equations of the form y = ax³
    9. 13:07 Sketching equations of the form y = ax³ + d
    10. 13:08 Curves of the form y = axᴺ and y = axᴺ + d
    11. 13:09 Curves of the form y = axᴺ and a(x-r)ᴺ
    12. 13:10 Curves of the form y = a(x - r)(x - s)(x - t)
    13. 13:11 Exponential graphs: y = ax²
    14. Fun Spot 13:11 The tower of Hanoi
    15. 13:12 Circles and their equations
    16. 13:13 The intersection of graphs
    17. Investigation 13:13 A parabola and a circle
    18. 13:14 Miscellaneous Graphs
    19. Maths terms 13
    20. Diagnostic Test 13 Curve Sketching
    21. Chapter 13 Revision assignment
    22. Chapter 13 Working mathematically
  14. Chapter 14 Further Trigonometry
    1. 14:01 Trigonometric relationships
    2. Investigation 14:01 Exact values for the trig. ratios 30°, 60° a…
    3. 14:02 Trigonometric ratios of obtuse angles
    4. 14:03 Trigonometric relationships between acute and obtuse angles
    5. Fun Spot 14:03 Why are camels terrible dancers?
    6. 14:04 The sine rule
    7. 14:05 The sine rule: the ambiguous case
    8. 14:06 The cosine rule
    9. 14:07 Area of a triangle
    10. 14:08 Miscellaneous problems
    11. 14:09 Problems involving more than one triangle
    12. Maths terms 14
    13. Diagnostic Test 14 Further Trigonometry
    14. Chapter 14 Revision assignment
    15. Chapter 14 Working mathematically
  15. Answers - Chapter 1
  16. Answers - Chapter 2
  17. Answers - Chapter 3
  18. Answers - Chapter 4
  19. Answers - Chapter 5
  20. Answers - Chapter 6
  21. Answers - Chapter 7
  22. Answers - Chapter 8
  23. Answers - Chapter 9
  24. Answers - Chapter 10
  25. Answers - Chapter 11
  26. Answers - Chapter 12
  27. Answers - Chapter 13
  28. Answers - Chapter 14
  29. Answers to ID Cards

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