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2 Which square has the biggest number on it that cannot be landed on? Winning Lines Jemma and Roberto are playing a game on a 4 by 4 square grid.
A further OCR support publication, Practice Questions for GCSE Mathematics is ideal for this activity and can be accessed on any of the GCSE Mathematics specifications pages.
1.2 OCR s AO3 Problem Solving Guide OCR s AO3 Problem Solving Guide explains the difference between AO2 and AO3 in the new GCSE Mathematics specifications.
The winner is the first player to complete a line of four crosses.
In this game, winning lines are horizontal, vertical or diagonal.
The game is played on a square board, with squares numbered from one to one hundred.
GO The dice Pawel and Becky use only has the numbers 4 and 7 on it.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.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.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.What length should the rope be so that the pony just has the area of grass it needs? Opposite Corners The numbers 1 and 16 are one pair of opposites in this 4 by 4 grid. Bella says there are 8 squares but Juan says there are 11. 2 Investigate the number of squares in rectangles of width 2 cm. 4 Extend your investigation, making clear the rules and methods you use. A 10 by 10 grid is numbered from 1 to The grid has a letter T placed on it, as shown on the diagram.3 Shamina keeps a horse in a field that has a big barn in the middle of it. The horse is tied to the outside of the barn, halfway along one of the long sides. He is building a display of soup tins by stacking them. The numbers 4 and 13 are the other pair of opposites = = 16 and = 36. This T has a horizontal bar of length 3 and a vertical bar of length 2.The QCA notes that Ofsted investigations in 2008 found that in good or outstanding teaching of mathematics, Non-routine problems, open-ended tasks and investigations are used often by all pupils to develop the broader mathematical skills of problem solving, reasoning and generalising. This booklet of investigations is intended to provide tasks that can be used in some of the ways described in Engaging mathematics for all learners and they particularly encourage the development of skills with using ICT, maximising and minimising, and changing variables one at a time.Another suggested activity type in the QCA publication is exploring examination or textbook questions.