Resources for Teaching Mathematics: 11-14

<br /> >

Introduction \ 1. Amazing Ways: Counting the numbers of routes through a word maze \ 2. Dividing Cakes: Partitioning fractions in different ways \ 3. Draw a Picture:Drawing pictures using mathematical graphs \ 4. Ever-Increasing Circles: Approximating the area of a circle by counting dots \ 5. Factor Trees: Exploring patterns in prime factor trees \ 6. Fiddling Averages: Investigating how averages can be manipulated \ 7. Folding: Finding connections relating to flat folds \ 8. Four Numbers: Generating and solving linear equations \ 9. Four Weights: Making as many values as possible from four numbers \ 10. Four-Star Hotels: Deducing the contents of a grid from the sums of columns and rows \ 11. Fuel: Maximizing the amount of fuel that can be transferred across a desert \ 12. Have a Megaday!: Converting time units and using standard prefixes \ 13. How Far?: Devising a statistical experiment \ 14. Infinity: Exploring a converging sequence \ 15. Investigating Mirrors: Finding out what happens when you reflect more than once \ 16. Journey Through a Word: Using bearings and distance to describe a route \ 17. Ladders: Solving simultaneous equations and drawing straight-line graphs \ 18. Make Twenty-Four: Using priority of operations to construct calculations \ 19. Meeting Up: Finding out how straight lines relate to their equations \ 20. Mystery Messages: Using frequency analysis to crack a substitution code \ 21. Newspaper Pages: Investigating the pagination of newspapers and books \ 22. One Cut: Categorizing the outcomes from one fold and one cut of a square \ 23. Palindromic Numbers: Solving problems relating to palindromic numbers \ 24. Percentage Puzzles: Practising mental percentage calculations \ 25. Pizza Slices: Finding the areas and perimeters of circular sectors \ 26. Rectilinear Shapes: Exploring angles and line segments in rectilinear shapes \ 27. Regular Polygons: Understanding necessary and sufficient conditions in geometry \ 28. Seven Divided by Three: Partitioning integers and finding patterns \ 29. Shape Riddles: Understanding inclusive definitions \ 30.Shapes Within Shapes: Relating numerical sequences to geometrical properties \ 31. Sharing Camels: Using fractions to solve a remainder problem \ 32. Simultaneous Investigation: Finding simultaneous equations with integer solutions \ 33. Sinusoids: Examining the sine and cosine graphs \ 34. Squares and Remainders: Exploring the divisibility properties of square numbers \ 35. Squares and Roots: Finding out how square numbers and surds behave \ 36. Star Polygons: Calculating angles in star polygons and drawing them \ 37. Street Race: Using travel graphs to solve problems \ 38. Symmetrical Possibilities: Finding examples of shapes with specified symmetries \ 39. Take a Breath: Estimating and calculating using large numbers \ 40. The Playground Problem: Solving a practical minimization problem \ 41.The Tailor's Rule of Thumb: Testing statistical hypotheses relating to body proportions \ 42. The Totient Function: Investigating patterns in reducible fractions \ 43. Three Consecutive Numbers: Using algebra to prove relationships \ 44. Transforming Graphs: Carrying out transformations on straight-line graphs \ 45. Transport Problems: Solving complicated problems in the best possible way \ 46. Trapped Squares: Exploring patterns relating to straight-line graphs \ 47. Travel Arrangements: Making and interpreting travel graphs \ 48. Triangle Angles: Using simple trigonometry to solve not-so-simple triangles \ 49. Vanishing Lines: Explaining an optical illusion using gradient \ 50. Water: Calculating volumes and lengths and finding connections \ Other Resources \ Index