The chapters in this book have been arranged to match the Cambridge Secondary 1 Mathematics Curriculum Framework for stage 7 as follows: l Number l Algebra l Geometry l Measure l Handling data l Calculation and mental strategies l Problem solving. It has been written by two experienced teachers who have lived or worked in schools in many countries, and worked with teachers from other countries, including England, Spain, Germany, France, Turkey, South Africa, Malaysia and the USA.
Students and teachers in these countries come from a variety of cultures and speak many different languages as well as English. Sometimes cultural and language differences make understanding difficult.
However, mathematics is largely free from these problems. Even a maths book written in Japanese will include algebra equations with x and y.
We should also all be very aware that much of the mathematics you will learn in these books was first discovered, and then built upon, by mathematicians from all over the world, including China, India, Arabia, Greece and Western countries.
Most early mathematics was simply game play and problem solving. Later this maths was applied to building, engineering and sciences of all kinds. Mathematicians study maths because they enjoy it.
We hope that you will enjoy the work you do, and the maths you learn in this series of books. Sometimes the ideas will not be easy to understand at first. That should be part of the fun. Ask for help if you need it, but try hard first. Write down what you are thinking so that others can understand what you have done and help to correct your mistakes.
Most students think that maths is about answers, and so it is, but it is also a way to exercise our brains, whether we find the solution or not. Some questions throughout this book are starred H. This means that these questions go slightly beyond the content of the curriculum at this level and will be an enjoyable challenge for those of you who try them. Ric Pimentel and Terry Wall.
VV Interpret decimal notation and place value; multiply and divide whole numbers and decimals by 10, or VV Order decimals, including measurements, changing these to the same units. VV Round whole numbers to the nearest 10, or and decimals, including measurements, to the nearest whole number or one decimal place. VV Use the order of operations, including brackets, to work out simple calculations. The position of a digit in our number system determines its value. For example, Looking at the table we can see that: the 6 is worth the 2 is worth the 8 is worth 80 the 7 is worth 7 3 the 3 is worth 0.
Multiplying and dividing by 10, and Multiplying a number by 10, or results in the digits moving one, two or three places to the left respectively. Rounding A large school has students. This figure can be rounded approximated in several ways by showing its position on a number line. If is rounded to the nearest thousand, then it is written as , because is closer to than it is to If is rounded to the nearest hundred, then it is written as , because is closer to than it is to If is rounded to the nearest ten, then it is written as , because is closer to than it is to If a number is half way, then it is rounded up.
For example, rounded to the nearest ten would be even though it is half way between and All of these estimates were acceptable. However, they are to different degrees of accuracy. Write down the degree of accuracy for each one.
Decimal places Another way of rounding a number is to write it to a given number of decimal places. This refers to the number of digits written after the decimal point.
To round to a whole number or to a certain number of decimal places, look at the next digit after the one in question. If that digit is 5 or more, round up. If it is 4 or less, round down. Estimating answers to calculations Even though calculators are a quick and easy way of solving arithmetical problems, an estimate can be a useful check. Place value Indian Brahmi numerals C. Indian Gwalior numerals C. Write 7. Draw a number line to help you.
To the nearest ten, 18 is 20 and 71 is To the nearest hundred, is To the nearest ten, 28 is Hodder Education. Published on Aug 14, Go explore.
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