Number and Place Value for Year 6 (age 10-11)
A child who achieves what is expected by the end of Year 6 will have an excellent knowledge of number. Negative numbers will be used in a variety of situations, including co-ordinates. Decimal fractions are extended to thousands and children will be expected to round decimals with up to three decimal places. Terms such as simplifying fractions, cancelling common factors, percentages and ratio will all be used with confidence.
Very large numbers
Reading, writing and ordering numbers up to millions.
Reading and writing very large numbers: harder than it seems!
Reading and writing large numbers with the aid of a place value grid.
More work on very large numbers using place value grids.
Know the value of digits in a number up to ten million.
Finding the value of digits using really large numbers.
Reading and writing very large numbers: millions.
Use knowledge of place value to add tens of thousands mentally.
Use knowledge of place value to add hundreds of thousands.
Place value and decimals
Working with decimals, including thousandths.
Finding the value of digits including tenths, hundredths and thousandths.
Using place value charts to help understanding of dividing decimals by 10 and 100.
Estimating and rounding
Estimating numbers and rounding large numbers.
Place value charts and rounding.
Estimating tiles, flowers and stones.
Estimating bricks, leaves and flowers.
Mini investigations involving amounts of time, large numbers and, not forgetting, blades of grass!
Estimating on a 0 to 10000 number line and making approximate answers to calculations.
Practice rounding 7-digit numbers to the nearest 10,000
Rounding 7-digit numbers to the nearest million.
Rounding very large numbers to the nearest ten thousand and rounding populations to the nearest million.
Take a look at just how large some cities are and round to the nearest million or hundred thousand.
Working with negative numbers including counting on and back through zero.
Tricky addition and subtraction of negative numbers.
Co-ordinates with negative numbers, including temperature and tide levels.
Co-ordinates in four quadrants are an excellent way to demonstrate knowledge of negative numbers.
Estimating and then measuring to the nearest millimetre requires a great deal of accuracy.
Order of operations
Understanding the order of operations, including the use of brackets.
It is very important that when faced with a series of calculations in a line that they are calculated in the correct order. Believe it or not this may not be the order that they come!
Remember, in a number sentence where there are several operations we need to stick to some rules.
Rule: multiply or divide before adding or subtracting.
Rule: calculate both sets of brackets first.