Place Value
Term 1 starting in week 1 :: Estimated time: 3 weeks
- Roman Numerals to 1,000
- Numbers to 10,000
- Numbers to 100,000
- Numbers to 1,000,000
- Read and write numbers to 1,000,000
- Powers of 10
- 10/100/1,000/10,000/100,000 more or less
- Partition numbers to 1,000,000
- Number line to 1,000,000
- Compare and order numbers to 100,000
- Compare and order numbers to 1,000,000
- Round to the nearest 10, 100 or 1,000
- Round within 100,000
- Round within 1,000,000
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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.
Counting Quest Try this exercise to master counting up to 100 items with precision and confidence.
Number Grids Investigate the properties of number with these interactive number grids.
Knowing Numbers Read, write, order and compare numbers from one to twenty.
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.
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.
Roman Numerals Jigsaw An online interactive jigsaw puzzle of a grid of Roman numerals.
Counter A dynamic visual aid that counts! Choose the first term, common difference and the speed
Candles on Cakes Drag candles on to the place-value birthday cakes to make the numbers given by clues and puzzles.
Furthermore A self-marking exercise on counting forwards or backwards in tens, hundreds, thousands etc.
Numbasics A daily workout strengthening your ability to do the basic mathematical operations efficiently.
If Then What? Deduce multiplication and division results from a related calculation.
Quick Can you multiply a number by 1001 in your head? This exercise provides practice in this and other similar challenges.
Roman Numerals Quiz This online, self marking quiz tests your ability to convert Roman numerals.
Six Discrimination The six button has dropped off! How could these calculations be done using this calculator?
Partition Clues Partition numbers in different ways according to the clues given. The higher levels are quite hard!
Tools In how many different ways can the numbers be arranged to give the same totals?
Perfect Magic Square Arrange the sixteen numbers on the four by four grid so that groups of four numbers in a pattern add up to the same total.
Click on a topic below for suggested lesson Starters, resources and activities from Transum.
- Mental Methods Though using pencil and paper are as useful as having up-to-date technology skills, there is no substitute for strategic mental methods for working out calculations and solving problems. The activities in this topic are designed to improve pupils' abilities to use their brains. Calculating 'in your head' can be a difficult task. If you cannot remember what you have worked out or simply do not know how to solve a problem then it can be very challenging and frustrating. It is important to learn and practise mental arithmetic and using mathematical patterns, you can dramatically improve the speed and accuracy of your mental mathematics. See also the Arithmetic topic and our Number Skills Inventory.
- 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.
- Problem Solving What good is being a master of calculation if you cannot apply your skills to problem solving? This topic provides lots of examples, activities and situations in which pupils can practise their problem solving skills.
- 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
Addle
Arrange the numbers 1 to 14 in the circles so that the sums are correct.
2nd Lesson
Figuratively Speaking
Write the numbers written as words using digits.
3rd Lesson
Know Your Place
Without a calculator perform some calculations requiring a knowledge of place value.
4th Lesson
Nine Digit Sum
Arrange the digits one to nine to make a correct addition calculation.
5th Lesson
Numbers in words
Write out in words some numbers writen as digits (optional pirate theme)
6th Lesson
Writing Cheques
Complete some imaginary cheques, the amount needs to be written in words.
7th Lesson
Shadow Sums
Make sums from the three digit numbers given.
8th Lesson
Nine Nine Nine
Arrange the numbers 1-9 to make three 3 digit numbers that add up to 999.
9th Lesson
A Thousand and One
Develop a quick way of mentally multiplying any number by 1001.
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.
