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# Year 4 Maths

**Year 4 Maths** emphasises more on the depth and accuracy of the topics studied in the previous grade. It includes almost the same topics as studied in year 3 with a slight addition of larger numbers, bigger place values, along with decimal fractions, and so on. Hence, consistent practice of the topics helps in a better understanding and accuracy in the subject.

## Year 4 Maths Curriculum

Year 4 Maths curriculum aims at developing mathematical reasoning in students so they can analyse the topics well. For example, understanding shapes and their properties, and confidently describing the relationships between them. This curriculum is prepared to help the students become proficient with the subject. The following list shows the complete curriculum for Year 4 Maths which helps in understanding what all a child needs to know at this level.

**Number - Number and Place Value**

- Multiples of 6, 7, 9, 25 and 1000 and counting in these multiples.
- Calculating 1000 more than a number and 1000 less than a given number.
- Count backward through 0 and include negative numbers.
- Identify the place value of every digit in a 4-digit number. (1000s, 10s, 1s)
- Order and compare numbers more than 1000.
- Rounding numbers to the nearest 10 (ten), 100 (hundred) or 1000 (thousand).
- Solve number problems and practical problems using these ideas with larger numbers.
- Reading and understanding Roman numerals up to 100 (I to C)

**Number - Addition and Subtraction**

- Addition and subtraction of numbers up to 4 digits using the methods of columnar addition and subtraction wherever needed.
- Using inverse operations to check answers after a given calculation.
- Solve addition and subtraction two-step problems knowing which operations and methods to use with reason.

**Number - Multiplication and Division**

- Revise multiplication and division facts for multiplication tables up to 12 × 12.
- Using place value, known and derived facts to multiply and divide mentally, that includes multiplying by 0 and 1; dividing by 1; multiplying three numbers together.
- Recognise and use factor pairs and the commutative property in mental calculations.
- Multiplication of two-digit numbers and three-digit numbers by a one-digit number using the proper written layout.
- Solve problems that include multiplication, addition, including using the distributive law to multiply two-digit numbers by one digit, integer scaling problems and correspondence problems such as n objects are connected to m objects.

**Number - Fractions (including decimals)**

- Recognise families of common equivalent fractions and show these using diagrams.
- Count up and down in hundredths; recognise that hundredths come up when dividing an object by one hundred and dividing tenths by ten.
- Solve problems that involve fractions to divide quantities, including non-unit fractions where the answer is a whole number.
- Adding and subtracting a given set of fractions with the same denominator.
- Recognise and write decimal equivalents of a number of tenths or hundredths.
- Recognise and write decimal equivalents to fractions like 1/4, 1/2, 3/4.
- Observe the effect of dividing a one-digit number or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths.
- Rounding of decimal numbers with one decimal place to the nearest whole number.
- Compare decimal numbers with the same number of decimal places.
- Solve simple measure and money problems that involve fractions and decimals up to two decimal places.

**Measurement**

- Convert the different units of measure, for example, kilometre to metre; hour to minute.
- Find the perimeter of a figure in centimetres and metres.
- Find out the area of rectilinear shapes with the help of counting squares.
- Calculate and compare measures like money in pounds and pence.
- Convert time between the analogue clock and the digital 12-hour clocks and 24-hour clocks.
- Solve problems that involve conversion from hours to minutes; minutes to seconds; years to months; weeks to days.

**Geometry - Properties of Shapes**

- Classify and compare geometric shapes, like quadrilaterals and triangles, on the basis of their properties and sizes.
- Identify acute angles and obtuse angles and compare and order angles up to two right angles by size.
- Identify lines of symmetry in 2-D shapes shown in different orientations.
- Complete a symmetric figure according to a specific line of symmetry.

**Geometry - Position and Direction**

- Describe positions as coordinates on a 2-D grid in the first quadrant.
- Describe movements between positions like left/right and up/down.
- Draw the sides to complete a given polygon and know how to plot specified points.

**Statistics**

- Understand and represent continuous and discrete data using appropriate graphical methods, including time graphs and bar charts.
- Solve problems related to the comparison, sum and difference using information presented in the bar charts, pictograms, tables and other graphs.

## Year 4 Maths Objectives

The objective of year 4 Maths is to develop the ability of the students such that they are able to solve a range of problems, whether it is simple fractions or decimal place value. At this level, the curriculum aims at instilling the following concepts. This means that the students should know how to work with the following concepts at the end of year 4.

**Number - Number and Place Value**

- Using different representations, including measures to become fluent in the order and place value of numbers above 1000, including counting in tens and hundreds.
- Connect estimation and rounding numbers.

**Number - Addition and Subtraction**

- This covers the knowledge of mental methods and columnar addition and subtraction with large numbers.

**Number - Multiplication and Division**

- Use mental methods for three-digit numbers to derive facts, for example, 400 ÷ 2 = 200 can be derived from 2 × 2 = 4.
- Use the equality of expressions, for example, use the distributive law, 34 × 2 = (30 × 2) + (4 × 2) and the associative law (5 × 6) × 3 = 5 × (6 × 3).
- Combine the knowledge of number facts and rules of arithmetic to solve calculations, for example, 2 × 3 × 5 = 6 × 5 = 30.

**Number - Fractions**

- Use factors and multiples to recognise equivalent fractions and simplify wherever necessary.
- Understand the number system and the decimal place value system.

**Measurement**

- Understand the place value and decimal notation to record metric measures, including money.
- Use multiplication to convert larger units to smaller units. For example, Perimeter can be expressed algebraically as 2(a + b) where a and b are the dimensions of the same unit.

**Geometry - Properties of Shapes**

- Classify shapes using geometrical properties, classify different triangles, for example, isosceles, equilateral, scalene; and quadrilaterals, for example, parallelogram, rhombus, trapezium.
- Order and arrange angles using a protractor and compare lengths and angles to decide whether a polygon is regular or irregular.
- Draw symmetric patterns so that the different orientations of lines of symmetry are understood.

**Geometry - Position and Direction**

- Draw one pair of axes in a quadrant with equal scales.
- Use pairs of coordinates, for example (2, 4), using coordinate plotting ICT tools.

**Statistics**

- Use of simple scales, for example, 3, 6, 11 units per cm, in pictograms and bar charts with accuracy.
- Interpretation of data presented in different contexts.

## Year 4 Maths Tips and Tricks

Here is a list of a few tips that can help students perform well in year 4 Maths.

- Teachers need to assess the students regularly to ensure accuracy in mathematical reasoning.
- Usage measuring instruments.
- By the end of year 4, the students should memorise the multiplication tables up to 12.
- One of the most effective methods to teach year 4 Maths is to ensure consistent practice by students. This not only builds confidence but also helps in the fluency of the subject.

## FAQs on Year 4 Maths

### What is Taught in Year 4 Maths?

The following topics are covered in year 4 Maths:

- Number and Place Value
- Addition and Subtraction
- Multiplication and Division
- Fractions
- Measurement
- Geometry
- Statistics

A detailed list of these topics is given above on this page that can be referred to see what topics are covered under year 4 Maths.

### What Times Table Should Year 4 Know?

A student studying year 4 Math should be knowing the multiplication tables up to 12. Apart from this, they should be able to multiply and divide two-digit numbers. For example, 16 × 3 = 48.

### How to Teach Year 4 Maths?

There are simple ways in which year 4 Maths can be taught to students.

- The teachers should ensure that the students consistently practice the questions of the lessons that are taught.
- They need to be assessed on a regular basis to provide help to the child when needed.
- By the end of year 4, the students should memorise the multiplication tables up to 12.

### How do I Teach Mental Maths in Year 4?

Mental Maths can be taught in year 4 using the following tips:

- Plan a game of Maths between yourself and the child.
- Write a couple of maths word problems or statements on the board, beginning with addition and subtraction.
- Try and set a timer of say, 30 seconds and allow the child to work on the given problems.
- Each time that the child gets a correct answer, give them 1 point, and each time they are incorrect you get a point.
- Initially give them time and then focus on their accuracy.

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