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Resources for Teaching Mathematics: 11-14

Autor Colin Foster
en Limba Engleză Paperback – 24 noi 2011
This resource contains 50 ready-to-use mathematics lesson plans suitable for the whole department to use with learners aged 11-14. Each plan consists of a teacher's sheet which breaks down the lesson into time-allocated sections from starter through to homework, together with a photocopiable (or downloadable) student task sheet to give out. There is also a companion website with extra material to support the lesson plans in the book, giving teachers the time and confidence to try new activities in the classroom with minimal preparation.

The lesson tasks are open-ended and encourage deep mathematical thinking, allowing learners to explore different topics creatively through solving problems in their own way. This is an essential resource for any busy teacher of mathematics.
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Specificații

ISBN-13: 9781441142276
ISBN-10: 1441142274
Pagini: 224
Ilustrații: black & white illustrations
Dimensiuni: 211 x 292 x 13 mm
Greutate: 0.57 kg
Ediția:New.
Editura: BLOOMSBURY ACADEMIC
Locul publicării:London, United Kingdom

Cuprins

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

Recenzii

'The problems in this book would enrich the mathematical learning of any class; they are clear and challenging whilst being easily differentiable. Colin Foster has produced a resource that will extend the mathematical learning of any student, helping them to engage with mathematics, instead of just doing mathematics.' James Robinson, Teacher of Mathematics, Ripley St Thomas School, UK
'Colin Foster has once again provided a rich treasure-trove of lesson ideas that will undoubtedly serve to excite the imagination of all learners. Each lesson holds the potential to be explored for a week (if not more!). An exciting resource that I look forward to continuing to use with all of my classes.' Christopher Martin, Teacher of Mathematics, Haverstock School, UK
'Resources for Teaching Mathematics 11-14 is by far and away the most comprehensive collection of high quality mathematical activities that I have ever seen. The tasks cover such a wide range of different activities which are both accessible and interesting to reluctant mathematicians and will challenge and fascinate the most able. There are so many different ways of exploring each idea which are clearly explained in the very detailed plans that it makes it easy for every mathematics teacher to give their students a positive experience of exploring mathematics. Colin has written the book that every maths teacher should have.' Catherine Scarlett, Teacher of Mathematics, Driffield School, UK
This Book follows in the series of Resources for Teaching - the previous edition covering the ages of 14 to 16... It uses the same successful format as the previous book... covering a huge variety of areas. Each lesson is designed to make pupils think about mathematics in a stimulating and at times, unusual way. They can be tried individually or in groups and most pupils should be able to make a reasonable start on each task. Each task is flexible and the teacher can adapt or modify to suit a particular class.' N.G. Macleod, Mathematics in School, UK