Problem Solving

by Steve Mills and Hilary Koll

Published 30 April 2005
Understanding Maths is a series of books designed to reinforce skills and knowledge at Key Stage 2 of the National Curriculum. Each book focuses on a particular maths topic with explanations and teaching points, exercises, answers section and glossary of terms. Problem Solving develops strategies for solving different mathematical problems: reading and deciphering the question, choosing appropriate operations, spotting patterns, systematic recording of information, and deciding on a solution. There are plenty of examples and practical activities - plus some fascinating facts along the way. The Problem Solving book includes: choosing number operations (addition/subtraction/multiplication/division), inverses and missing numbers, shape puzzles, word problems, money/measurement/time problems and remainders.

Understanding Maths is a series of topic-based study books for children in Key Stage 2, providing rigorous practice of key subject areas. Each topic contains a concise summary of the information required by the National Curriculum, making the series ideal for use as preparation for the Key Stage 2 tests. Each book is a stand-alone resource, so children can either work through them in order or focus on individual aspects of the subject. Together, the nine books support the whole of the Key Stage 2 maths curriculum, providing a solid foundation for success in maths. Understanding Maths covers the following topics: addition, fractions, algebra, subtraction, decimals, problem solving, multiplication, percentages, geometry, division, number patterns and statistics. Practice contains numerous questions on each of these topics, to give children the support they need when preparing for the Key Stage 2 tests. Each section has cross-references to the relevant study book in the series, assisting children with their learning.

Practice

by Hilary Koll and Steve Mills

Published December 2007
Understanding Maths is a series of books designed to reinforce skills and knowledge at Key Stage 2 of the National Curriculum. Each book focuses on a particular maths topic with explanations and teaching points, exercises, answers section and glossary of terms. The Practice book provides further reinforcement of topics introduced in books 1 to 8 of the Understanding Maths series, to ensure that learning is really secure. Every page in the Practice book is cross-referenced with the other relevant Understanding book so that children can easily refer to them if they need help. The Practice book includes: adding and subtracting, multiplying and dividing, fractions, decimals and percentages, number patterns and early algebra, problem solving, shape/space/measures and graphs/charts/data.

Understanding Maths is a series of topic-based study books for children in Key Stage 2, providing rigorous practice of key subject areas. Each topic contains a concise summary of the information required by the National Curriculum, making the series ideal for use as preparation for the Key Stage 2 tests. Each book is a stand-alone resource, so children can either work through them in order or focus on individual aspects of the subject. Together, the nine books support the whole of the Key Stage 2 maths curriculum, providing a solid foundation for success in maths. Addition & Subtraction meets the National Curriculum requirements for Key Stage 2 maths, and covers the following areas: patterns in calculations, partitioning, finding small differences, inverses, missing number questions, word problems, decimals and questions with long numbers. This book describes in detail the different ways to add and subtract numbers, using both mental and written methods.
Key features of Understanding Maths include: an 'Explanation' to introduce each topic; activities to consolidate and revise knowledge and skills; thought-provoking facts to foster a love of learning beyond the National Curriculum; regular 'Progress tests' and a 'Final test' to track children's development.

Understanding Maths is a series of books designed to reinforce skills and knowledge at Key Stage 2 of the National Curriculum. Each book focuses on a particular maths topic with explanations and teaching points, exercises, answers section and glossary of terms. Adding and Subtracting describes in detail the different ways to add and subtract numbers, using both mental and written methods. There are plenty of examples and practical activities - plus some fascinating facts to explain how numbers work, which can be used to help make arithmetic easier. The Adding and Subtracting book includes: adding and subtracting multiples, 'double' numbers, partitioning numbers into tens and units and written methods of addition and subtraction (including decimals and money).

Understanding Maths is a series of topic-based study books for children in Key Stage 2, providing rigorous practice of key subject areas. Each topic contains a concise summary of the information required by the National Curriculum, making the series ideal for use as preparation for the Key Stage 2 tests. Each book is a stand-alone resource, so children can either work through them in order or focus on individual aspects of the subject. Together, the nine books support the whole of the Key Stage 2 maths curriculum, providing a solid foundation for success in maths. Number Patterns & Algebra meets the National Curriculum requirements for Key Stage 2 maths, and covers the following areas: factors, multiples, fraction sequences, prime numbers, odd and even numbers, negative numbers, Roman numerals, cube and square numbers, term-to-term rule, unknowns and variables, and simple algebra. This book develops skills in recognising and explaining number patterns and sequences.
Key features of Understanding Maths include: an 'Explanation' to introduce each topic; activities to consolidate and revise knowledge and skills; thought-provoking facts to foster a love of learning beyond the National Curriculum; regular 'Progress tests' and a 'Final test' to track children's development.

Understanding Maths is a series of topic-based study books for children in Key Stage 2, providing rigorous practice of key subject areas. Each topic contains a concise summary of the information required by the National Curriculum, making the series ideal for use as preparation for the Key Stage 2 tests. Each book is a stand-alone resource, so children can either work through them in order or focus on individual aspects of the subject. Together, the nine books support the whole of the Key Stage 2 maths curriculum, providing a solid foundation for success in maths. Decimals & Percentages meets the National Curriculum requirements for Key Stage 2 maths, and covers the following areas: ordering, rounding and comparing decimals, adding and subtracting decimals, finding percentages mentally, and with a calculator, estimation, problem solving, and converting fractions to decimals and percentages. This book develops a strong understanding of decimals and percentages and how they relate to fractions and whole numbers.
Key features of Understanding Maths include: an 'Explanation' to introduce each topic; activities to consolidate and revise knowledge and skills; thought-provoking facts to foster a love of learning beyond the National Curriculum; regular 'Progress tests' and a 'Final test' to track children's development.

Understanding Maths is a series of topic-based study books for children in Key Stage 2, providing rigorous practice of key subject areas. Each topic contains a concise summary of the information required by the National Curriculum, making the series ideal for use as preparation for the Key Stage 2 tests. Each book is a stand-alone resource, so children can either work through them in order or focus on individual aspects of the subject. Together, the nine books support the whole of the Key Stage 2 maths curriculum, providing a solid foundation for success in maths. Multiplication & Division meets the National Curriculum requirements for Key Stage 2 maths, and covers the following areas: column multiplication, long multiplication, long division, partitioning, factors and multiples, doubling and halving, finding remainders, square and cube numbers, word problems, distributive law and inverses. This book uses the relationship between numeracy and real-life problem solving to develop both mental and written methods for calculations.
Key features of Understanding Maths include: an 'Explanation' to introduce each topic; activities to consolidate and revise knowledge and skills; thought-provoking facts to foster a love of learning beyond the National Curriculum; regular 'Progress tests' and a 'Final test' to track children's development.

Understanding Maths is a series of books designed to reinforce skills and knowledge at Key Stage 2 of the National Curriculum. Each book focuses on a particular maths topic with explanations and teaching points, exercises, answers section and glossary of terms. Shape, Space and Measures explores the simple geometry of 2-D and 3-D shapes and coordinates and the use of metric measurements of distance, mass area and time. There are plenty of examples and practical activities - plus some fascinating facts along the way. The Shape, Space and Measures book includes: angles, 2-D and 3-D shapes, coordinates, reflective symmetry, measurement conversions (mass/capacity/time/area/perimeter) and reading scales.

Understanding Maths is a series of books designed to reinforce skills and knowledge at Key Stage 2 of the National Curriculum. Each book focuses on a particular maths topic with explanations and teaching points, exercises, answers section and glossary of terms. Multiplying and Dividing describes and uses the relationship between multiplication and division to develop both mental and written methods for calculations. There are plenty of example and practical activities - plus some fascinating facts to help build a deeper understanding of the subject. The Multiplying and Dividing book includes: times tables, doubling and halving, partitioning a number (into tens and units), factors, written methods of division and multiplying and dividing decimals.

Understanding Maths is a series of topic-based study books for children in Key Stage 2, providing rigorous practice of key subject areas. Each topic contains a concise summary of the information required by the National Curriculum, making the series ideal for use as preparation for the Key Stage 2 tests. Each book is a stand-alone resource, so children can either work through them in order or focus on individual aspects of the subject. Together, the nine books support the whole of the Key Stage 2 maths curriculum, providing a solid foundation for success in maths. Statistics meets the National Curriculum requirements for Key Stage 2 maths, and covers the following areas: bar charts, Venn diagrams, grouped data, averages, co-ordinates, 2-D and 3-D shapes, angles, length, mass, capacity, area and perimeter, timetables, distance charts, scatter graphs, pie charts, converting units, and misleading statistics. This book describes different ways to represent data and explains how to interpret information presented in a range of graphs and charts.
Key features of Understanding Maths include: an 'Explanation' to introduce each topic; activities to consolidate and revise knowledge and skills; thought-provoking facts to foster a love of learning beyond the National Curriculum; regular 'Progress tests' and a 'Final test' to track children's development.

Graphs, Charts and Data

by Steve Mills and Hilary Koll

Published 30 April 2005
Understanding Maths is a series of books designed to reinforce skills and knowledge at Key Stage 2 of the National Curriculum. Each book focuses on a particular maths topic with explanations and teaching points, exercises, answers section and glossary of terms. Graphs, Charts and Data describes different ways to represent data and how to interpret information presented in a range of graphs and charts. It also introduces simple statistical terms and averages. There are plenty of examples and practical activities - plus some fascinating facts along the way. The Graphs, Charts and Data book includes: pictograms, frequency tables and tallying, bar charts/pie charts/line graphs, Venn diagrams, Carroll diagrams, range and average values (mode and median).

Understanding Maths is a series of topic-based study books for children in Key Stage 2, providing rigorous practice of key subject areas. Each topic contains a concise summary of the information required by the National Curriculum, making the series ideal for use as preparation for the Key Stage 2 tests. Each book is a stand-alone resource, so children can either work through them in order or focus on individual aspects of the subject. Together, the nine books support the whole of the Key Stage 2 maths curriculum, providing a solid foundation for success in maths. Fractions meets the National Curriculum requirements for Key Stage 2 maths, and covers the following areas: comparing and ordering fractions, common denominators, simplifying fractions, unit fractions, equivalent fractions, multiplying fractions, adding and subtracting fractions, tenths, hundreds and thousandths, mixed numbers and improper fractions. This book builds an understanding of fractions and how they can be represented and used to solve problems.
Key features of Understanding Maths include: an 'Explanation' to introduce each topic; activities to consolidate and revise knowledge and skills; thought-provoking facts to foster a love of learning beyond the National Curriculum; regular 'Progress tests' and a 'Final test' to track children's development.

Understanding Maths is a series of books designed to reinforce skills and knowledge at Key Stage 2 of the National Curriculum. Each book focuses on a particular maths topic with explanations and teaching points, exercises, answers section and glossary of terms. The Fractions book carefully builds an understanding of fractions and how they can be represented and used to solve problems. There are plenty of examples and practical activities - plus fascinating facts explaining some of the history behind the development of fractions. The Fractions book includes: equivalent fractions, estimating and ordering fractions, fractions of shapes, fractions of numbers, common denominators and improper fractions.

Decimals & Percentages

by Steve Mills and Hilary Koll

Published January 2005
Understanding Maths is a series of books designed to reinforce skills and knowledge at Key Stage 2 of the National Curriculum. Each book focuses on a particular maths topic with explanations and teaching points, exercises, answers section and glossary of terms. Decimals and Percentages develops a sound understanding of what decimals and percentages are, and how they relate to fractions and whole numbers. There are plenty of examples and practical activities to apply the knowledge gained in a variety of situations - plus fascinating facts to support the learning. The Decimals and Percentages book includes: comparing decimals, ordering decimals, rounding decimals, estimating decimals, relating decimals to fractions and adding and subtracting decimals.

Understanding Maths is a series of books designed to reinforce skills and knowledge at Key Stage 2 of the National Curriculum. Each book focuses on a particular maths topic with explanations and teaching points, exercises, answers section and glossary of terms. Number Patterns and Early Algebra explores and develops skills in recognising, explaining and making predictions in simple number patterns and sequences. It also introduces simple algebra to explain some of the patterns found. There are plenty of examples and practical activities to promote confidence in pattern recognition. The Number Patterns and Early Algebra book includes: explaining number sequences, predicting number sequences, counting on and back in different multiples (including decimal numbers), square numbers, factors and prime numbers.