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- Recognise the place value of any number in an integer up to one billion
- Understand and write integers up to one billion in words and figures
- Work out intervals on a number line
- Position integers on a number line
- Round integers to the nearest power of ten
- Compare two numbers using =, ?, <, >, ?, ?
- Order a list of integers
- Find the range of a set of numbers
- Find the median of a set of numbers
- Understand place value for decimals
- Position decimals on a number line
- Compare and order any number up to one billion
- Round a number to I significant figure

For higher-attaining pupils:

- Write 10, 100, 1000 etc. as powers of ten
- Write positive integers in the form A x 10
^{n} - Investigate negative powers of ten
- Write decimals in the form A x 10
^{n}

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Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.

- Place Value Chart This is a visual aid designed to be projected onto a whiteboard for whole class exposition about place value.
- Place Value Do this online exercise to show you understand place value for decimals and integers of any size.
- The Value of Places Test your understanding of place value by comparing the values of digits in different positions within numbers.
- Decimals Line A number line showing tenths and hundredths with draggable arrows. This is a visual aid designed to be projected onto a whiteboard for whole class exposition
- Words in Digits Write the numbers given in words as digits and vice versa.
- Rounding Ten Round the numbers to the nearest whole number or the given power of ten.
- Numbers in Words Find the five lettered mathematical words by matching numbers with their equivalent in words.
- Fraction Order Arrange the fractions and decimals in order from smallest to largest.
- Rounding Video A reminder of how to round numbers to significant figures, decimal places and to the nearest power of ten.
- Rounding DP A self marking exercise requiring students to round numbers to a given number of decimal places.
- Significant Figures A CGP Maths Tutor explains what 'significant figures' are then talks you through some examples in this video tutorial.
- Rounding SF A self marking exercise requiring students to round numbers to a given number of significant figures.
- Rounding Snap If the last card put down equals the previous card to the nearest whole number then all players race to shout SNAP!
- Number Skills Inventory A checklist of basic numeracy techniques that every pupil should know.
- Standard Form Test your understanding of standard form (scientific notation) with this self-marking quiz.
- Standard Form Video Learn how to write and calculate with numbers in standard form - sometimes called scientific notation.
- Standard Order Arrange the numbers given in standard form with the smallest at the top and the largest at the bottom.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

- Approximation Approximating a quantity is often to get a value that is easier to use or understand, at the cost of making it less precise. This approximation is very important in dealing with answers to mathematical problems and making them relevant to the real world. Rounding to a given number of decimal places or significant figures is required of pupils. The error introduced when approximating a value may be further magnified with subsequent calculations. Understanding this error and how it can be minimised is another important aspect of this topic. See also the "Rounding" and "Estimating" Topic pages.
- Decimals Working with decimals, for most pupils, presents little difficulty if the pupils have confidence working with whole numbers. The topic of decimals provides an extension to the place value system with the addition of tenths, hundredths, thousandths etc. For many pen and paper multiplication and division calculations the decimal numbers can be considered as whole numbers then the answers adjusted accordingly. So 2.4 x 2.34 can be considered as 24 x 234 รท 1000. The numbers are multiplied by ten and one hundred respectively then the answer needs to be divided by the ten and one hundred to compensate. Pupils should use their understanding of place value to round decimal numbers. They should also use decimal numbers in the context of measures and money. This topic also contains activities which encourage pupils to investigate and explore the properties of decimal numbers and gain a better understanding of them.
- Indices Where do many fish live? Indices (in the seas!) This topic involves the use of the index, power or exponent. The concept is easily misunderstood and a surprisingly large number of pupils will evaluate 62 as 12 and not 36. After having mastered positive integer indices pupils should move on to negative indices and fractional indices. Exploring this topic in both numeric and algebraic ways will provide understanding and competence in this important concept.
- Number Spotting patterns is an important skill in many areas of life. The world of numbers contains many fascinating patterns and understanding them enables better problem solving strategies. From seeing patterns in the multiples of numbers shaded in a hundred square to spotting the recurring sequences of digits in decimal numbers there is a great deal for pupils to be introduced to. This topic includes even, odd, prime, triangular, perfect, abundant, square and cube numbers. It uses factors and multiples to find solutions to real life problems and encourages number connections to be investigated for pleasure. There are a lot of puzzles, challenges and games too. See also the Mental Methods topic and our Number Skills Inventory.
- Rounding The objective of rounding is often to get a number that is easier to use, at the cost of making it less precise. This approximation is very important in dealing with answers to mathematical problems and making them relevant to the real world. Rounding to a given number of decimal places or significant figures is required of pupils. See also the "Approximating" Starters. Once the principles of rounding have been understood, a fun way to practise the skills is to play "Rounding Snap".

Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.

When written as a word or words what is the smallest positive whole number containing the letter 'a'?

Write out in words some numbers writen as digits (optional pirate theme)

Without a calculator perform some calculations requiring a knowledge of place value.

Complete some imaginary cheques, the amount needs to be written in words.

Make sums from the three digit numbers given.

Beginning with 100 on your calculator, what is the largest and smallest totals you can end up with after travelling through each of the possible routes.

Work out the distance the book worm needs to eat through to get to the back cover of the last book.

A game for two players requiring a calculator and thinking skills.

How old is a person if when her age is divided by certain numbers, the calculator display ending are as shown.

Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.