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Numbers and The Number System

Read and write whole numbers in figures and words, and know what each digit represents.(For decimals, see page 29.) (p.3) Place value chart and arrow cards/ pointer cards used for partitioning numbers PrimaryResources
'NumberBoard'
Multiply and divide any positive integer up to 10000 by 10 or 100 and understand the effect (e.g. 9900 ÷ 10, 737 ÷ 10, 2060 ÷ 100). (p.7)        
Use the vocabulary of comparing and ordering numbers, including symbols such as <, >, , , =. Give one or more numbers lying between two given numbers.
Order a set of integers less than 1 million. (p.9)
       
Use the vocabulary of estimation and approximation.
Make and justify estimates of large numbers, and estimate simple proportions such as one third, seven tenths.
Round any integer up to 10000 to the nearest 10, 100 or 1000.(For rounding decimals, see page 31.) (p.11,13)
       
Order a given set of positive and negative integers (e.g. on a number line, on a temperature scale).
Calculate a temperature rise or fall across 0°C. (p.15)
Fun ordering of negative numbers. Extended by children finding the difference between 2 numbers Primary Resources'Order the Negative Numbers'
Interactive Thermometer. Change scale. Show difference in temperature and change in temperature. Great discussion potential Standards/numeracy
'Thermometer
'

Recognise and extend number sequences formed by counting from any number in steps of constant size, extending beyond zero when counting back. For example:
count on in steps of 25 to 1000, and then back;
count on or back in steps of 0.1, 0.2, 0.3... (p.17)
Use to generate desired number. Use negative increment for counting back Primary Resources
'Counting Stick'
Counter. Use for chanting, counting on or back.Use negative increment for backwards chant Ambleside
'Super Sequencer'
Use to generate sequences, children predict continuation of sequence Turquoise Box
'Counter'
Make general statements about odd or even numbers, including the outcome of sums and differences. (p.19) Hundred square and/or empty 100 square with 'splats' as highlights. Useful for highlighting numbers Primary Games'Splat Square'
Recognise multiples of 6, 7, 8, 9, up to the 10th multiple.Know and apply tests of divisibility by 2, 4, 5, 10 or 100. (p.19)
Use as a physical counting stick. Very easy to cover / uncover numbers / multiples Primary Resources
'Counting Stick'
Practice at identifying multiplication facts in rather fun way. Children individually or on whiteboard during mental and oral starter Primary Resources
Moon Maths
Activity allowing practice of recognition of chosen multiples. Short starter or short individual practice. Grid Club
'Alien Tables'
Know squares of numbers to at least 10 × 10. (p.21)
Interactive multiplication square, colour squares/blank squares out Primary Resources'Number Square'
Multiplication square you can 'scribble' on Ambleside'Scribble TablesSquare'
Find all the pairs of factors of any number up to 100. (p.21)
       

Use fraction notation, including mixed numbers, and the vocabulary numerator and denominator.
Change an improper fraction to a mixed number (e.g. change 13/10 to 13/10).
Recognise when two simple fractions are equivalent, including relating hundredths to tenths (e.g. 70/100 = 7/10). (p.23)
        
Order a set of fractions such as 2, 23/4, 13/4, 21/2, 11/2, and position them on a number line. (p.23) Fraction version of 'Play Your Cards Right'! Primary Games: 'Hi/Lo Fractions'
Relate fractions to division, and use division to find simple fractions, including tenths and hundredths, of numbers and quantities (e.g. 3/4 of 12, 1/10 of 50, 1/100 of £3). (p.25)         
Solve simple problems using ideas of ratio and proportion ('one for every...' and 'one in every...'). (p.27)         
Use decimal notation for tenths and hundredths. Know what each digit represents in a number with up to two decimal places.Order a set of numbers or measurements with the same number of decimal places. (p.29)        
Round a number with one or two decimal places to the nearest integer. (p.31)            
Relate fractions to their decimal representations: that is, recognise the equivalence between the decimal and fraction forms of one half, one quarter, three quarters and tenths and hundredths (e.g. 7/10 = 0.7, 27/100 = 0.27). (p.31)        
Begin to understand percentage as the number of parts in every 100, and find simple percentages of small whole-number quantities (e.g. 25% of £8).Express one half, one quarter, three quarters, and tenths and hundredths, as percentages (e.g. know that 3/4 = 75%). (p.33)                


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This page was last updated on Thursday, 23 December, 2004