1 How many different horizontal winning lines can be made on the 4 by 4 grid?
2 How many different winning lines can be made in total on the 4 by 4 grid? Winning Lines 2 Jemma and Roberto are playing a game on a 7 by 7 square grid.
We hope you find these tasks interesting, useful and rewarding.
2 The investigations Dodgy Dice Pawel and Becky have invented a game.
The winner is the first player to complete a line of four crosses.
In this game, winning lines are horizontal, vertical or diagonal.It also gives advice about question techniques that can be used to help learners develop thinking skills and a deeper understanding.The guide also provides ten annotated tasks and investigations that can be used as activities to help develop learners abilities with regards to problem solving and strategy.Depending on your own experience in using open-ended and richer tasks, we would recommend you read and use the activities in the AO3 Problem Solving Guide first before you use the tasks in this booklet.1.3 OCR & The School Mathematics Project Support for Problem Solving A further set of tasks has been carefully developed and trialled by The School Mathematics Project in partnership with OCR.Becky notices that there are some other squares that are never landed on.1 What is the next square after square 3 that cannot be landed on?It includes strategies for devising and using rich activities as well as advice for finding contexts which are mathematically rich.There is also a wide range of examples and case studies, as well as a comprehensive list of resources.This is not from the perspective simply of following the method intended, rather to ask open questions such as How many ways can you find to solve?The idea is to change the emphasis of the question to finding as many methods as possible and to appreciate the interconnectedness of concepts.