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Summer Challenge 2013
CONTENTS

Activity 1 : Building Pyramids
This activity starts off by looking at basic number patterns such as arithmetic sequences of counting numbers and then moves into investigation of more complex patterns such as triangular numbers and pyramid numbers.
This activity is available for everyone to try out before you commit to the whole challenge!

Activity 2 : Beguiling Tiling
This activity involves investigating different combinations and arrangements of tiles in a systematic way. Students will need to think for themselves and come to conclusions by testing things out, making predictions and thinking logically.

Activity 3 : Schedules
This activity gives students a chance to think about time management. It will provide an introduction to the ideas of critical path analysis and scheduling, with the emphasis on students coming to conclusions for themselves and making informed decisions.

Activity 4 : Hieroglyph Grids
The hieroglyph grids provide an introduction (or revisiting) of simultaneous equations in a very visual way, giving students the opportunity to explore techniques for themselves without any offputting algebraic notation.

Activity 5 : Pyramid Patterns
Using the sides of a pyramid as a visual framework, this activity encourages students to explore the many patterns concealed within Pascal's Triangle.

Activity 6 : Nile Crossing
This activity combines logical thinking and dealing with time to try and get various sets of animals and objects across the Nile in the shortest time possible.

Activity 7 : Market Day
In this activity, students will make decisions that will maximise profits on market day, based on different choices for manufacturing goods using the time and resources available. Students will come out of this activity with a basis upon which to start thinking about inequalities and linear programming problems.

Activity 8 : More Pyramids
This activity delves further into the patterns within Pascal's Triangle, following on from the foundations set in activity 5.

Activity 9 : Town Planning
Here, students will investigate various issues that go into setting up a new town, with an emphasis on the maths involved in juggling resources, space and time. The interactive activity will have students set up a simulated town to test their understanding.

Activity 10 : Pattern Pharaoh
This activity brings together various strands that have already been investigated in earlier activities, and looks at a kind of 3-dimensional Pascal's triangle displayed in the form of a pyramid.



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