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Maths 4 • Syllabus

Maths 4
Learning Objectives
Numbers

• Read and write numbers up to 10 000 in numerals or number words. • Identify mixed numbers and place them on a number line.
• Count forwards and backwards in ones, tens, hundreds and • Begin to arrange mixed numbers in order of size.
thousands starting from any four-digit number. • Relate calculating fractions of a quantity to division.
• Recognise the place value of each digit in three- and four-digit • Show fractions (halves, thirds, quarters, ifths, eighths and tenths)
numbers. of shapes.
• Partition any number up to 10 000 into thousands, hundreds, tens • Calculate fractions (halves, thirds, quarters, ifths, eighths and
and units. tenths) of numbers.
• Recognise the place value for tenths and hundredths. • Find pairs of two-digit numbers that have a sum of 100, e.g.
• Express amounts of money in decimal form. 56 + 44 = 100.
• Convert amounts of money from dollars to cents. • Find pairs of multiples of 50 that have a sum of 1000, e.g.
• Convert measurements, e.g. lengths, from one form to another. 650 + 350 = 1000.
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• Round an amount of money to the nearest dollar. • Find pairs of fractions that have a sum of 1, e.g. + = 1.
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5
• Order measurements (e.g. lengths, amounts of money, etc.), • Recall the multiplication tables for numbers 2, 3, 4, 5, 6, 9 and 10
expressed in decimal form, from the greatest to the smallest and and write the corresponding division facts.
vice versa. • Fill in the multiplication tables for numbers 7 and 8 and write the
• Comprehend decimal notation in measurement context (e.g. corresponding division facts.
money, length, mass, capacity). • Identify multiples of 2, 3, 4, 5 and 10, up to the 10th multiple.
• Add and subtract multiples of 10, 100, 1000 to/from any number • Calculate the sum of three or four single-digit numbers, using
up to 10 000. number pairs for 10 or 20.
• Perform multiplications and divisions of any whole number up to • Calculate the sum of three multiples of 10 less than 100.
1000 by 10 (whole number results only). • Add a near multiple of 10 or 100 to a three-digit number, e.g.
• Perform multiplications of whole numbers by 100 and write the 564 + 298.
corresponding division facts (whole number results only). • Subtract a near multiple of 10 or 100 from a three-digit number,
• Identify multiples of 5, 10, 50 and 100 up to 1000. e.g. 564 – 298.
• Round any whole number up to 10 000 to the nearest ten or • Calculate the sum of two two-digit numbers, applying an
hundred. appropriate strategy.
• Find the nearest thousand to any four-digit number by placing it on • Subtract two two-digit numbers, applying an appropriate strategy.
a number line. • Calculate small di ferences between near multiples of 100 up to
• Precisely place any number up to 1000 on a number line with 1000, e.g. 505 – 498.
unnumbered divisions or a number line with divisions that are • Subtract a single-digit from a three-digit number crossing the
multiples of 10 or 100. hundreds boundary, e.g. 803 – 7.
• Estimate and show the position of a three- or four-digit number on • Multiply two single-digit numbers.
blank 0 1000 or 0 10 000 number lines. • Apply the commutative property of multiplication to easily
• Compare numbers up to 10 000 using the < and > signs and calculate a product.
arrange them in ascending or descending order. • Understand the role of brackets to indicate the order of operations
• Find a number between two three- or four-digit numbers. in a calculation.
• Explore examples of negative numbers in di ferent contexts, e.g. • Recognise the underlying rule when multiplying or dividing a
temperature, lift, etc. three-digit number by 10.
• Identify and continue number sequences by counting on or back • Find the doubles of whole numbers up to 50, using mental
in steps of the same size. strategies and write the corresponding halves.
• Extend number sequences below zero to include negative • Find the doubles of multiples of 10 up to 500 and doubles of
numbers. multiples of 100 up to 5000, using mental strategies and write the
• Identify odd and even numbers. corresponding halves.
• State general rules that apply to the sums and di ferences of odd • Add two three-digit numbers.
and even numbers. • Add a two-digit to a three-digit number.
• Recognise and use fraction notation to represent parts of one • Calculate the di ference between a two- and a three-digit number.
whole. • Calculate the di ference between two three-digit numbers.
• Compare fractions with the same denominator (halves, thirds, • Calculate doubles of two-digit numbers.
quarters, ifths, eighths, tenths) and put them in order from the • Calculate halves of even two-digit numbers.
greatest to the smallest and vice versa. • Multiply a two-digit multiple of 10 by a single-digit number.
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5
• Identify equivalent fractions representing one half ( , and 10 ), • Perform multiplications of two-digit and single-digit numbers.
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1
2
2
1
one quarter ( and ) and one ifth ( and 10 ).
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• Compare and order fractions using knowledge of equivalent • Divide a two-digit number by a single-digit number (answers up to 20).
fractions where necessary. • Determine whether to round up or down the result of a division to
• Recognise the equivalent relationship between one-place decimals give a reasonable answer to a problem.
and decimal fractions with a denominator of ten. • Perceive that multiplication and division are inverse operations.
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• Recognise the equivalence between 0.5, and 10 . • Perceive ratio as ‘part to part’ comparison.
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• Identify the equivalent vulgar fraction form of halves, quarters, • Perceive proportion as ‘part to whole’ comparison.
tenths and hundredths given the corresponding decimal fraction • Comprehend and apply simple ideas of ratio and proportion in
and vice versa. context.
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