1. “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

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

9. 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.

11. Going down, the pattern is HeightNumber of Cubes 11 23 35 47 59 HeightNumber of Cubes × How many cubes are needed to reach a height of: a) 10 b) 19c) 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. Add 2 19 cubes 199 cubes 37 cubes - 1X 2 H Number of cubes

12. Height 1 Height 2 Height 3 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.

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

14. 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

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