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Maths 5 • Syllabus

Maths 5
Learning Objectives
Numbers

• Read and write numbers up to 1 000 000 in numerals or number or 100, e.g. 7246 + 499.
words. • Calculate small di ferences between near multiples of 1000 up to
• Count forwards and backwards in steps of a whole number, often 10 000.
extending into negative numbers. • Calculate small di ferences between decimals, e.g. 5.3 – 4.8.
• Recognise the place value of each digit in ive- and six-digit numbers. • Use brackets to show the order of operations.
• Partition any number up to 1 000 000 into hundred thousands, • Begin to perform calculations in number sentences involving
ten thousands, thousands, hundreds, tens and units. brackets.
• Read and write decimals with one or two decimal places. • Begin to explore the laws of multiplication and apply to simple
• Identify the tenths and hundredths digits in decimals with one or number sentences.
two decimal places and use decimal notation. • Find the doubles of three-digit multiples of 10, e.g. 780 and write
• Find the nearest whole number for any decimal with one or two the corresponding halves.
decimal places. • Find the doubles of four-digit multiples of 100, e.g. double 4800
• Compare one- or two-place decimals and arrange them in and write the corresponding halves.
ascending or descending order. • Double two-digit numbers and ind the corresponding halves.
• Place decimals on a number line marked in whole units, tenths or • Double one- and two-place decimals by doubling the
hundredths. corresponding whole numbers.
• Perform multiplications and divisions of any whole number up to • Halve one- and two-place decimals by halving the corresponding
10 000 by 10 or 100 and describe the process. whole numbers.
• Identify multiples of 5, 10, 25, 50 and 100 up to 1000. • Add or subtract by counting forwards or backwards in ones, tens,
• Identify odd and even numbers up to 1000. hundreds and thousands.
• State and use divisibility rules to answer whether or not a number • Add two two-digit or three-digit numbers, making short notes to
is a multiple of 2, 5, 10 and 100. support working where necessary.
• Round any whole number up to 10 000 to the nearest ten, hundred • Subtract two two-digit or three-digit numbers, making short notes
or thousand. to support working where necessary.
• Compare numbers up to 1 000 000 using the < and > signs and • Add two one-place decimals, making short notes to support
arrange them in ascending or descending order. working where necessary.
• Begin to compare and order positive and negative numbers by • Subtract two one-place decimals, making short notes to support
placing them on a number line or a temperature scale. working where necessary.
• Calculate the new temperature after an increase or decrease. • Use a written method to add at least three two- or three-digit
• Identify and continue number sequences involving both positive numbers.
and negative numbers. • Find the sum of or the di ference between two three- and/or four-
• State general rules that apply to sums, di ferences and multiples of digit numbers.
odd and even numbers. • Add or subtract decimals with the same number of decimal places.
• Understand how decimals and fractions can be equivalent for • Add or subtract amounts of money expressed in the form of
halves, tenths and hundredths and use this knowledge to put decimals with the same number of decimal places.
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fractions in order, e.g. is less than 0.8 and greater than 20%. • Multiply a two-digit multiple of 10 by a single-digit number.
2
• Compare and order fractions using knowledge of equivalent • Multiply a three-digit multiple of 100 by a single-digit number.
fractions where necessary. • Perform multiplications by 19 or 21 by multiplying by 20 and
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1 2
• Identify equivalent fractions for one half ( , and ), one third ( 3 1 adjusting the answer.
2 4
8
1
2
2
and ) and one ifth ( and ). • Multiply by 100 and then divide by 4 to multiply by 25.
10
5
6
• Convert an improper fraction into a mixed number by dividing the • Multiply using factors (e.g. to multiply by 8, irst multiply by 4 and
numerator by the denominator. then double).
• Arrange mixed numbers in order of size and place them on a • Perform multiplications of three-digit and single-digit numbers.
number line between two consecutive whole numbers. • Perform multiplications of two two-digit numbers.
• Relate calculating fractions of a quantity to division. • Perform multiplications of one-place decimals by single-digit numbers.
• Calculate simple fractions of a quantity. • Divide a two- or three-digit number by a single-digit number with
• Perceive percentage as the number of equal parts in a hundred. or without a remainder (answers up to 30).
• Calculate simple percentages of a quantity. • Become familiar with writing remainders as a fraction of the divisor
• Write halves, tenths and hundreds in percentage form. when performing divisions between a two- and a single-digit number.
• Memorise pairs of one-place decimals that add up to 1, e.g. 0.7 + 0.3. • Perform a division by applying either grouping (based on known
• Find pairs of decimals that add up to 1 or 10. multiplication facts) or sharing (halve or quarter).
• Recall the times tables of all numbers up to 10 and write the • Determine whether to round the result of a division up or down to
corresponding division facts. give a reasonable answer to a problem.
• Identify multiples of 6, 7, 8 and 9 up to the 10th multiple. • Estimate and express proportions of small quantities as fractions.
• Memorise squares of all numbers up to 10 • Perceive fractions of quantities as parts of a whole.
• Write the factors of a two-digit number. • Solve ratio word problems in various contexts, e.g. mixing paint,
• Perform additions and subtractions involving near multiples of 10 recipes, etc.
Geometry
• Recognise and describe the attributes of di ferent types of • Sort triangles into equilateral, isosceles or scalene.
triangles (equilateral, isosceles, scalene) referring to their sides • Identify the attribute of re lective symmetry in regular polygons.
and angles. • Identify the attribute of rotational symmetry in regular polygons.
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