Year 5 Maths

Year 5 Maths includes a curriculum that focuses more on complex thinking and hence involves the use of a few topics that are linked and mixed with each other. It covers the topics of larger numbers and their place values, Roman numerals up to 1000, addition and subtraction of larger numbers, factors, and many more. A few of the new topics that have been introduced here are percentages, squares and cubes of numbers, and so on.

Year 5 Maths Curriculum

Year 5 Maths curriculum aims at developing more complex thinking. The following list shows the complete curriculum for Year 5 Maths which helps in understanding what a student should know at the end.

Number - Number and Place Value

• Understand and compare numbers up to 1,000,000 and determine the value of each digit.
• Count forward and backward in powers of 10 for a given number up to 1,000,000.
• Interpret negative numbers, count forwards and backward with positive and negative whole numbers, including zero.
• Rounding of numbers up to 1,000,000 to the nearest 10, 100, 1000, 10,000 and 100,000.
• Solve number of problems as well as practical problems that involve all of the above.
• Read Roman numerals to 1000 (M) and recognise years expressed in Roman numerals.

Number - Addition and Subtraction

• Add and subtract whole numbers with more than 4 digits, using the written methods of columnar addition and subtraction.
• Add and subtract numbers mentally with large numbers.
• Use rounding to check answers of calculations and determine the levels of accuracy in the context of a problem.
• Solve addition and subtraction problems, and decide the operation that needs to be used with reason.

Number - Multiplication and Division

• Identification of factors and multiples, which includes finding the factor pairs of a number, and the common factors of any two given numbers.
• Understand the terms like prime numbers, prime factors and (non-prime) composite numbers.
• Understand why a number is a prime number, for numbers up to 100. Identify the prime numbers up to 19.
• Multiply numbers up to 4 digits by one or two-digit numbers using a formal written method, including long multiplication for two-digit numbers.
• Multiply and divide numbers mentally.
• Divide numbers up to 4 digits by 1 digit numbers using short division and find the remainder appropriately.
• Multiply and divide whole numbers and the ones that involve decimals by 10,100 and 1000.
• Recognise the notation for squared (²) and cubed (³) and use square numbers and cube numbers
• Solve problems involving multiplication and division including using the knowledge of factors and multiples, squares and cubes.
• Solve problems involving addition, subtraction, multiplication and division, and a combination of these, understanding the meaning of the equals sign.
• Solve problems that involve multiplication and division and problems involving simple rates.

Number - Fractions (including decimals and percentages)

• Compare and order (arrange) fractions whose denominators are all multiples of the same number.
• Identify equivalent fractions that are represented visually.
• Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements that are more than 1 (> 1) as a mixed number, for example, 3/6 + 4/6 = 7/6 = \(1\dfrac{1}{6}\)
• Multiply proper fractions and mixed numbers by whole numbers, supported by figures and diagrams.
• Read and write decimal numbers in the form of fractions, for example, 0.34 = 34/100
• Round decimals up to two decimal places to the nearest whole number and round up to one decimal place.
• Compare and understand numbers up to three decimal places.
• Solve problems that include numbers up to three decimal places.
• Recognise the symbol of percent (%) and understand that the word 'percent' relates to ‘number of parts per hundred’. Express percentages as a fraction with a denominator of 100, and also as a decimal.
• Solve problems that need the understanding of percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and the fractions with a denominator of a multiple of 10 or 25.

Measurement

• Conversion of different units of metric measures, for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre.
• Understand and use approximate equivalences between metric units and common imperial units like, inches, pounds and pints.
• Measure and find the perimeter of composite rectilinear shapes in centimetres and metres.
• Calculate and compare the area of rectangles, squares, using standard units, square centimetres (cm²) and square metres (m²) and calculate the area of irregular shapes.
• Estimate volume, for example, using 1 cm³ blocks to build cuboids, cubes and capacity, for example, using water.
• Solve problems that involve conversion between units of time.
• Use all four operations to solve problems involving measure, for example, length, mass, volume, and money, using decimal notation, including scaling.

Geometry - Properties of Shapes

• Identify 3-D shapes like cubes and cuboids, from their 2-Dimensional representations.
• Understand that angles are measured in degrees: estimate and compare acute angles, obtuse angles and reflex angles.
• Draw the given angles, and measure them in degrees (°)
• Identify angles at a point, at one whole turn (total 360°, angles at a point on a straight line and half a turn (180°), other multiples of 90°
• Use the properties of rectangles to derive the related facts and find the missing lengths and angles.
• Understand the difference between regular polygons and irregular polygons based on the sides and angles.

Geometry - Position and Direction

• Identify, explain and represent the position of a shape following a reflection, using the appropriate language, and understand that the shape has not changed.

Statistics

• Solve problems based on the comparison, sum, and difference using information presented in a line graph.
• Complete, understand and interpret information and data given in tables, including timetables.

Year 5 Maths Tips and Tricks

Here is a list of a few tips that can help students perform well in year 5 Maths.

• Teachers and parents need to encourage the students regularly to ensure that they remain confident of themselves.
• Encourage them to understand the problems first and then lend a helping hand.
• By the end of year 5, the students should memorise the multiplication tables up to 12.
• Consistent practice on the part of the students is always helpful in accuracy and fluency.