Extension Maths
for Higher Achieving Students
Book 1 junior secondary student book
Book 1 junior secondary teacher's resource book
Book 2 middle secondary student book
Book 2 junior secondary teacher's resource book
by Ian Bull
Extension Maths for high achieving students is for maths students who need and enjoy the challenge of working with material which encourages the application of higher order thinking.
The problems and exercises in these books encourage students
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·to think creatively
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· to be flexible in the use of new ideas and approaches
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· to be fluent in the creation of an array of ideas
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· to elaborate on similar ideas
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· to be original in thinking of new approaches or new ways of seeing problems.
The problems and tasks are based on the topic and concept areas studied in the upper middle curriculum with points of departure to allow challenge, application and extension of ideas. Solving the problems requires each student to seek information beyond the classroom, modifying their thinking and being prepared to use and think of new approaches in unfamiliar situations. Each student book includes answers to each question. Fully worked solutions are provided in the teacher’s book for each level.
The tasks can be used as an addition to the teaching program where more able students can be directed to pursue challenges which require the application of a range of problem solving techniques centred on the topic being studied.
There are two broad types of task:
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· topic-based: number, linear algebra and graphing, quadratic algebra and graphing, indices and logarithms, measurement, trigonometry, geometry, probability and statistics.
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· general-nature: a collection of challenging questions which require the application of a range of approaches and skills in a non-routine manner.
The Teacher’s Resource Book for each level includes the worksheets, answers and fully worked solutions, hints to help students work through difficult parts of questions as well as suggestions for broadening the teaching program.
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Contents:
NOTE:
Teacher’s Book contents for Junior and Middle Secondary Level cover all topics in the student book, with worked solutions and additional teaching hints for each section
Extension Maths (Junior Secondary) for Higher Achieving Students
Student Book
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Introduction Using the resource Chapter 1 Number Cross-number Puzzle (1) - (4) Arithmetic Challenge Fractions Directed Number (1) & (2) Ration (1)& (2)
Percentages (1) & (2)
Prime Numbers Factors Multiples and Factors Numbers and Algebra Numbers and Indices (1) & (2) Numbers and Square Roots Number Patterns (1) & (2) Solutions
Chapter 2 General Algebra
Basic Algebra: Add and
Subtract
Algebraic
Processes
Pythagorean Triples Numbers and Algebra Solutions Chapter 3 Linear Algebra Equations (1)-(3) Worded Problems Equations and Inequations Solutions
Chapter 4 Linear Graphing Equations of Straight Lines Midpoint between Two Points Gradient of Lines
Perpendicular Lines
Points on Lines Solutions
Chapter 5 Geometry Angles (1) & (2) Circle Geometry Shapes and Geometry Angles (3) Solutions
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Chapter 6 Indices Index Rules and Algebra
Indices and Number
Solutions Chapter 7 Measurement
Perimeter - Straight Sides
Volume
Volume and Surface Area Solutions Chapter 8 Statistics Averages Statistical Measures Using Diagrams Solutions Chapter 9 Probability Games Probability with Order Using Diagrams Unfair Dice Venn Diagrams Probability and Statistics Solutions
Chapter 10 Problem Solving Logic (1)-(3) Number (1)-(7) Speed
Distance and Travel
Algebra Shapes (1)& (2) Space Measurement (1) & (2) Solutions
Index
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Contents:
Extension Maths (Middle Secondary) for Higher Achieving Students
Student Book
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Introduction Using the resource
Chapter 1 Number Cross-number Puzzle (1) - (4) Arithmetic Challenge Fractions Directed Number (1) & (2) Ration (1)& (2)
Percentages (1) & (2)
Prime Numbers Factors Multiples and Factors Numbers and Algebra Numbers and Indices (1) & (2) Numbers and Square Roots Number Patterns (1) & (2) Solutions
Chapter 2 General Algebra
Basic Algebra: Add and
Subtract
Algebraic
Processes
Pythagorean Triples Numbers and Algebra Solutions Chapter 3 Linear Algebra Equations (1)-(3) Worded Problems Equations and Inequations Solutions
Chapter 4 Linear Graphing Equations of Straight Lines Midpoint between Two Points Gradient of Lines
Perpendicular Lines
Points on Lines Solutions
Chapter 5 Geometry Angles (1) & (2) Circle Geometry Shapes and Geometry Angles (3) Solutions
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Chapter 6 Indices Index Rules and Algebra
Indices and Number
Solutions
Chapter 7 Measurement
Perimeter - Straight Sides
Volume
Volume and Surface Area Solutions
Chapter 8 Statistics Averages Statistical Measures Using Diagrams Solutions Chapter 9 Probability Games Probability with Order Using Diagrams Unfair Dice Venn Diagrams Probability and Statistics Solutions
Chapter 10 Problem Solving Logic (1)-(3) Number (1)-(7) Speed
Distance and Travel
Algebra Shapes (1)& (2) Space Measurement (1) & (2) Solutions
Index
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