Page 16 - IPMaths_leaflet

Maths 6 • Syllabus
M at h s 6 • S y lla bus

Maths 6
Learning Objectives
Numbers

• Count forwards and backwards in steps of a fraction, decimal or • Estimate and approximate large numbers reasonably.
whole number, often extending into negative numbers. • Memorise fact families for any whole number up to 20.
• Recognise the place value of each digit in whole numbers up to • Memorise pairs of one-place decimals that add up to 1, e.g. 0.7 + 0.3.
1 000 000. • Find pairs of one-place decimals that add up to 10, e.g. 3.2 + 6.8, and
• Recognise the place value of each digit in decimals with one or two pairs of two-place decimals that add up to 1, e.g. 0.53 + 0.47.
decimal places. • Use multiplication facts and knowledge of place value to mentally
• Express measurements using decimals with one, two or three perform multiplications and divisions with decimals.
decimal places. • Explore inding common multiples of two or more numbers, e.g. 3
• Find the nearest tenth or whole number for any decimal with two and 5.
decimal places. • Explore inding factors of two-digit numbers.
• Compare one- or two-place decimals to numbers with the same or a • Perform additions and subtractions involving near multiples of 1,
di ferent number of decimal places and arrange them in ascending e.g. 7.8 + 2.3; 4.6 – 1.9.
or descending order. • Perform additions and subtractions involving near multiples of 10,
• Perform multiplications and divisions of any whole number up to 100 or 1000, e.g. 2945 + 5997; 6764 – 499.
10 000 by 10, 100 or 1000 and describe the process. • Perform additions and subtractions involving a near dollar amount,
• Perform multiplications and divisions of decimals by 10 or 100 e.g. $5.85 + $2.99.
(resulting in one- or two-place decimals) and describe the process. • Comprehend and apply the commutative, associative and
• Identify multiples of 5, 10, 25, 50 and 100 up to 1000. distributive laws of multiplication with or without using
• Identify odd and even numbers up to 1000. conventional mathematical terms.
• State and use divisibility rules to answer whether or not a number is • Double two-digit numbers, including whole numbers or decimals
a multiple of 2, 4, 5, 10, 25 and 100. with up to two decimal places, e.g. 56, 5.6, 0.56 using mental
• Round any whole number to the nearest ten, hundred or thousand. strategies and write the corresponding halves.
• Estimate and show the position of a four-digit number on a blank • Add or subtract two-digit whole numbers using knowledge of place
0 - 10 000 number line. value and number pairs.
• Use the <, > and = signs to denote inequality or equality. • Add or subtract three-digit multiples of 10 using knowledge of place
• Compare and order positive numbers up to 1 000 000 and value and number pairs, e.g. 140 + 360.
negative integers within a reasonable range. • Add or subtract pairs of decimals using knowledge of place value or
• Calculate the di ference between a positive and a negative integer pairs of decimals that add up to 1, e.g. 0.27 + 0.73.
or two negative integers in di ferent contexts, e.g. temperature, or • Find the sum of two- and three-digit whole numbers with the same
by visualising numbers on a number line. or a di ferent number of digits.
• Identify and continue number sequences involving positive and • Add or subtract decimals with the same or a di ferent number of
negative numbers, fractions and decimals. decimal places.
• State general rules that apply to sums, di ferences and multiples of • Add or subtract amounts of money expressed in the form of
odd and even numbers. decimals with the same or a di ferent number of decimal places.
• Identify prime numbers up to 20 and explore prime numbers up to • Multiply two multiples of 10 or a multiple of 10 by a multiple of 100,
100. e.g. 60 × 50, 300 × 80.
• Explore the history and the development of our number system • Perform multiplications involving near multiples of 10 using
through research on speci ic topics. multiples of 10 and adjusting the answer, e.g. 39 × 6.
• Compare and order fractions using knowledge of equivalent • Calculate the product of two numbers by halving one number and
fractions where necessary. doubling the other, e.g. 25 × 12 = 50 × 6.
• Understand the equivalent relationship between the decimal and • Derive new multiplication facts from already known ones, e.g. the
the fraction form of a number. 16× table from 10× and 6× tables.
• Become familiar with changing vulgar fractions to decimal fractions • Perform multiplications of numbers with up to four digits (whole
by dividing the numerator by the denominator. numbers or decimals in the context of money) and single-digit
• Simplify fractions representing one half, one quarter, three numbers.
quarters, a number of ifths or tenths. • Perform multiplications of two- or three-digit numbers (whole
• Identify equivalent fractions representing a number of halves, numbers or decimals in the context of money) and single-digit
tenths or hundredths. numbers.
• Arrange mixed numbers in order of size and place them on a • Divide a two-digit number by a single-digit number with or without
number line between two consecutive whole numbers. a remainder.
• Convert an improper fraction into a mixed number by dividing the • Divide a three-digit number by a single-digit number with or
numerator by the denominator. without a remainder.
• Relate calculating fractions of a quantity to division. • Divide a three-digit number by a two-digit number without a
• Calculate fractions of a quantity, e.g. tenths and hundredths. remainder including divisions in the context of money.
1 1 1
• Convert , , , 1 , 1 into percentages. • Express the answer to a division where the divisor is 2, 4, 5, 10 or
2 3 4 10 100
• Perceive percentage as the number of equal parts in a hundred. 100 as a mixed number or decimal.
• Calculate simple percentages of whole numbers. • Use ratio and proportion to investigate the relationship between
• Show simple percentages in shapes. di ferent quantities.

Geometry

• Recognise and describe di ferent types of polygons and check rhombus, trapezium and other quadrilaterals.
whether a shape is a polygon or not. • Explore 3D shapes referring to their attributes, e.g. faces, edges,
• Recognise and sort quadrilaterals by their attributes (parallel sides vertices
or not, number of equal sides/angles). • Identify regular polyhedra and describe their attributes.
• Recognise and describe the attributes of the parallelogram, • Identify and make 2D drawings or nets of 3D shapes.
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