Place Value
Term 1 starting in week 1 :: Estimated time: 2 weeks
- Numbers to 1,000,000
- Numbers to 10,000,000
- Read and write numbers to 10,000,000
- Powers of 10
- Number line to 10,000,000
- Compare and order any integers
- Round any integers
- Negative numbers
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Activities for pupils
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.
Snappy Sorting Sort the numbers in to the correct order as fast as you can.
Knowing Numbers Read, write, order and compare numbers from one to twenty.
Number Line Banner A printable banner (multiple A4 sheets) of a colourful number line for the classroom wall.
Place Value Revise the concept of place value for whole numbers and decimals. This video is to help you do the online, self-marking exercise.
Place Value Chart This is a visual aid designed to be projected onto a whiteboard for whole class exposition about place value.
Place Value Enjoy this exercise to show you understand place value for decimals and numbers of any size.
The Value of Places Test your understanding of place value by comparing the values of digits in different positions within numbers.
Number Line This number line visual aid is designed to be projected onto a whiteboard for whole class exposition.
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.
Temperatures Test your understanding of negative numbers with this self marking quiz about temperatures.
Candles on Cakes Drag candles on to the place-value birthday cakes to make the numbers given by clues and puzzles.
Rounding Video A reminder of how to round numbers to significant figures, decimal places and to the nearest power of ten.
Know Your Place Without a calculator perform some calculations requiring a knowledge of place value.
Negative Numbers Use negative numbers in basic arithmetic and algebraic calculations and word problems.
Negative Numbers Video Revise how to add, subtract, multiply and divide negative numbers.
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!
Negative Magic Four partially completed magic squares containing negative numbers. Fill in the missing numbers.
One Minute Maths A challenge to mentally add numbers together without making the classic place value mistakes.
Boxed In Numbers The classic dots and boxes game with the addition of some positive and negative numbers which determine your score.
If Then What? Deduce multiplication and division results from a related calculation.
Powten Practise multiplying and dividing by powers of ten without using a calculator.
Quick Can you multiply a number by 1001 in your head? This exercise provides practice in this and other similar challenges.
Bidmaze Find your way through the maze encountering mathematical operations in the correct order to achieve the given total.
Click on a topic below for suggested lesson Starters, resources and activities from Transum.
- 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.
- Negative Numbers A negative number is a real number that is less than zero. Such numbers are often used to represent the amount of a loss or absence. For example, a debt that is owed may be thought of as a negative asset, or a decrease in some quantity may be thought of as a negative increase. Negative numbers are also used to describe values on a scale that goes below zero, such as the Celsius and Fahrenheit scales for temperature. Here are some activities designed to strengthen a pupil's understanding of negative numbers.
- 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.
- Place Value Positional notation or place-value notation is a method of representing or encoding numbers. Positional notation is distinguished from other notations (such as Roman numerals) for its use of the same symbol for the different orders of magnitude (for example, the "ones place", "tens place", "hundreds place"). This greatly simplified arithmetic and led to the quick spread of the notation across the world.
- 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".
Lesson Starters
Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.
1st Lesson
Know Your Place
Without a calculator perform some calculations requiring a knowledge of place value.
2nd Lesson
Absolutely Everyone
A choice of questions about the current world population which is constantly changing.
3rd Lesson
Cunning Code
Decode the message by doing the calculations given for each letter.
4th Lesson
Figuratively Speaking
Write the numbers written as words using digits.
5th Lesson
Numbers in words
Write out in words some numbers writen as digits (optional pirate theme)
6th Lesson
Negative Vibes
Practise techniques for answering questions involving negative numbers.
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.
