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A Learning Journey

A Learning Journey. “Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost and discover more than they thought possible.” W.S.Anglin. Ken-Ken STARTER.

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A Learning Journey

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  1. A Learning Journey “Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost and discover more than they thought possible.” W.S.Anglin

  2. Ken-Ken STARTER If you don’t know what to do with this then watch here…..

  3. http://www.kenken.com/

  4. Introducing problem solving in Mathematics Pinpoint key ideas when introducing problem solving to students Understand the different ways problem solving can be implemented in Maths Take away ready to use resources

  5. Staircases Investigation Cubes are used to grow a staircase. Investigate the number of cubes needed to create staircase of height H. ? Height 1 Height 2 Height 3 Height 4 Height H Whilst discussing and solving the problem in your groups, make a LIST of the strategies which you used to solve the problem.

  6. X 2 - 1 Going down, the pattern is Height Number of Cubes × Add 2 • How many cubes are needed to reach a height of: • a) 10 b) 19 c) 100 • Find a general rule linking the number of cubes to the height. • Write the rule in algebra. Can you explain why the rule works. 199 cubes 19 cubes 37 cubes H Number of cubes

  7. 2 cubes are needed to each new height except for height 1 when one of the 2 cubes are missing giving the formula c = 2h – 1. Height 1 Height 2 Height 3

  8. Investigate the number of cubes needed to grow a staircase for each of the following staircase designs. Design 1. Design 2. Design 3.

  9. Problem of the week Get your students enthusiastic about problem solving outside of the classroom. Set up a strategy how you will manage the weekly problem and advertise this to your students. Get your questions for free and with very little work! http://cemc.uwaterloo.ca/resources/potw.php

  10. Websites you may find useful... Starter of the day NGfL Kenken Problem of the week

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