Maths Problem Solving for Higher Achieving Students - Book 1 Cover

Maths Problem Solving for Higher Achieving Students - Book 1

Second Edition - Number

Maths Problem Solving for Higher Achieving Students - Number provides introductory lesson tasks and offers enrichment and extension activities for higher achieving upper primary and lower secondary students to work above and beyond the normal mathematics curriculum and develop their higher-order thinking skills. Each book contains three sections: the first takes a scaffolded approach with three levels of instruction; the second encourages students to think broadly to solve open-ended problems, recognising that any such problem has more than one possible answer; and the third presents general word problems to build on and reinforce the link between literacy and problem solving. Detailed solutions are included.

Ages: 12-14 | Pages: 60 | Code: 51135 | ISBN: 9781776556687

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Picture of Ian Bull

Ian Bull

Ian Bull has taught mathematics from Grade 6 to Year 12 in both state and private schools. He has been head of mathematics at Melbourne High School for a dozen years as well as being director of gifted and talented education there. Ian has a wealth of experience in education ranging from VCE examination marking, writing sections of Naplan as well as recently writing materials for the Australian National Curriculum.

Ian is widely published in the area of mathematics with sales in every state of Australia as well as New Zealand and South Africa.

Ian has spoken regularly at Mathematics and Gifted and Talented conferences on both national and international forums, at Fremantle, Alice Springs and Hobart for the Australian Association of Mathematics Teachers, at Hobart and Fremantle for the Australian Association for the Education of Gifted and Talented and at Sydney and Dubai at the Asian Pacific Conference for Gifted and Talented Education.

Ian is committed to sharing his educational experiences on the broad educational arena and, as such, continues to strive to make a range of educational resources to appeal to educators, written in response to cutting edge educational issues.       

Contents

Introduction4
Section 1: Three levels of instruction – lesson, application and extension5
Teacher notes5
Activity 11: Digits and number puzzles8
Activity 12: Digits in numbers and divisibility12
Activity 13: Mystery numbers16
Activity 14: Numbers and symbols20
Activity 15: Magic squares24
Activity 16: Fencing gardens28
Section 2: Open-ended problem solving32
Teacher notes32
Activity 21: Customers at the café36
Activity 22: Selling mugs37
Activity 23: Going shopping37
Activity 24: Escaping pigeons38
Activity 25: Coins in a bag39
Activity 26: Jellybeans40
Section 3: General word problems41
Teacher notes41
Activity 31: The solar system42
Activity 32: Athletics records44
Activity 33: The longest rivers46
Solutions47