Mind Your Maths Cover

Mind Your Maths

Activities to build and enhance students' mental skills with arithmetic

While recognising that students need a calculator for certain topics such as trigonometry, the activities in this book deepen students' insight into just how much arithmetic they can do successfully without one. They also set timeframes for completion so that students work on their speed as an essential component of effective mental arithmetic. Topics cover integers, fractions, decimals and percentages, emphasising the practice of operations such as powers of numbers and finding the square root and cube roots of fractions and decimals.

Ages: 12-13 | Pages: 72 | Code: 51108 | ISBN: 9781776556137

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Picture of Vaneeta Manners

Vaneeta Manners

Vaneeta Manners has over 12 years’ experience in secondary mathematics education. During her career to date, she has taught in Australia, the United States of America, the United Kingdom and Switzerland, and her work has included teaching the international baccalaureate syllabus. She is passionate about making mathematics accessible to all students, particularly those who struggle with the subject. Vaneeta enjoys developing classroom resources and activities that engage, motivate and challenge students. She currently works in New South Wales, Australia as an assistant head of mathematics.

Contents

Introduction4
Getting started5
Take 5: The language of mathematics5
Value of n6
Powers and roots7
Take 5: Powers of7
Square number trail8
Square and cube number trail9
Where it belongs10
Square and cube root mania11
Index laws insanity12
Index laws sort13
Order of operations with indices14
A number raised to the power of zero15
Number sort 16 Irrational number trail17
Rational number trail18
Integers19
Integer trails19
Take 5: Integers20
Equivalent pairs pathway: Integers21
Blast-off operations with negative integers22
Mental maths sets: Integers (A–B)23
Take 10: Integers25
Number properties sort26
Decimals27
Take 10: Decimals27
Decimal clues28
Decimal nibbles29
Order of operations with decimals30
Equivalent pathway: Fractions and decimals31
Mental maths sets: Decimals (A–B)32
Take 10: Decimals34
Fractions35
Take 5: Fractions35
Take 10: Reducing and comparing fractions36
Take 10: Comparing fractions37
Take 10: Fractions of units of measurement38
Quantity fractions39
Take 10: Multiplying and representing fractions40
Take 10: Square roots and powers of fractions41
Take 5: Fractions and the unitary method42
Take 10: Fractions – word problems43
Take 10: Fractions – all the operations44
Percentages45
Percentage nibbles45
Ordering decimals, fractions and percentages46
Challenge yourself with percentages47
Finding a percentage of a quantity48
Take 10: Percentages – all the operations49
Blast-off quantities of percentages50
Mental maths sets: Percentages51
Take 5: Percentages and the unitary method (A–B)52
Power sessions54
Mental maths power sessions (A–D)54
Mental maths power session – matching pairs58
Here's the answer – what's the question?59
Selected answers60