Maths Problem Solving for High Achieving Students - Book 2 Cover

Maths Problem Solving for High Achieving Students - Book 2

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: 13-14 | Pages: 67 | Code: 51136 | ISBN: 9781776556694

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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: Spending money8
Activity 12: Sharing and describing items12
Activity 13: Bucket measures17
Activity 14: Balancing weights21
Activity 15: Consecutive numbers25
Activity 16: Missing digits29
Section 2: Open-ended problem solving33
Teacher notes33
Activity 21: A broken calculator36
Activity 22: The graduation party37
Activity 23: Cake-making38
Activity 24: Pascal’s triangle39
Activity 25: House numbers40
Activity 26: Living in a high rise41
Section 3: General word problems42
Teacher notes42
Activity 31: Mt Everest43
Activity 32: Large animals45
Activity 33: The human skeleton47
Solutions48