# Year 3 Maths

**Year 3 Maths** focuses on the accuracy of the topics studied in the previous years. It covers the same topics as studied in year 2 with the introduction of more abstract fractions. Therefore, with consistent practice, year 3 Maths can be done so that it forms a firm foundation for the upcoming topics related to these.

## Year 3 Maths Curriculum

Year 3 Maths curriculum is prepared in a way that the students become proficient with whole numbers and the basic operations of maths, and with the concept of place value. The following list shows the complete curriculum for Year 3 Maths which helps in understanding what all a child needs to know at this level.

**Number - Number and Place Value**

- Counting from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number.
- Recognition of the place value of each digit in a three-digit number. (100s, 10s, 1s)
- Represent and identify numbers using different representations.
- Comparison and order numbers up to 1000.
- Know how to read and express numbers up to 1000 in numerals and in words.

**Number - Addition and Subtraction**

- Add and subtract numbers mentally, that includes 3-digit numbers.
- Add and subtract numbers up to three digits, using columnar addition and subtraction.
- Calculation and use of inverse operations to check answers.
- Solve problems, including missing number problems, using number facts, place value, and complex addition and subtraction.

**Number - Multiplication and Division**

- Recall and use multiplication and division facts for the multiplication tables of 3, 4 and 8.
- Write mathematical statements for multiplication and division using the multiplication tables, including two-digit numbers times one-digit numbers.
- Solve problems including missing number problems, multiplication and division, including positive integer scaling problems and correspondence problems in which 'n' objects are connected to 'm' objects.

**Number - Fractions**

- Recognise and express unit fractions and non-unit fractions with small denominators.
- Recognise unit fractions and non-unit fractions.
- Represent equivalent fractions with small denominators.
- Add and subtract fractions with the same denominator within one whole, for example, 5/7 + 1/7 = 6/7
- Compare and order unit fractions, and fractions with the same denominators.
- Solve problems that involve all the above topics.

**Measurement**

- Measure, add, subtract and compare lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)
- Measure the perimeter of 2D shapes.
- Add and subtract amounts of money, using £ and p.
- Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and from 12-hour and 24-hour clocks.
- Read the time to the nearest minute and compare time in terms of seconds, minutes and hours. Use the appropriate time vocabulary like o'clock, a.m./p.m., morning, afternoon, noon and midnight.
- Understand the number of seconds in one minute and the number of days in each month, year and leap year.
- Compare the time durations, for example, find out the time taken by events or tasks.

**Geometry - Properties of Shapes**

- Draw 2D shapes and make 3D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them.
- Recognise angles that describe the property of a shape or a turn.
- Identify right angles, understand that two right angles make one half-turn, three right angles make three-quarters of a turn and four right angles form a complete turn. Identify the angles if they are greater than or less than a right angle.
- Identify horizontal and vertical lines and pairs of perpendicular lines and parallel lines.

**Statistics**

- Interpret and express data with the use of bar charts, tables, and pictograms.
- Solve questions, like, ‘How many more?’ and ‘How many fewer?’ with the use of the information shown in tables, scaled bar charts and pictograms.

## Year 3 Maths Objectives

The objective of year 3 Maths is to develop various real-life skills in students. 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.

**Number - Number and Place Value**

- Understand the use of multiples of 2, 3, 4, 5, 8, 10, 50 and 100.
- Using larger numbers to at least 1000, applying columns related to place value.
- Understanding concepts like, 125 = 100 + 20 and 5, 125 = 120 + 5.
- Count in ones, tens and hundreds, to become fluent in the order and place value of numbers to 1000.

**Number - Addition and Subtraction**

This covers addition and subtraction questions and mental calculations with two-digit numbers in which the answers do not exceed 100. Understanding the use of place value using columnar addition and subtraction with large numbers up to three digits.

**Number - Multiplication and Division**

- Usage of mental maths and understanding the commutative property and associative property of multiplication. For example, 3 × 6 × 2 = 6 × 3 × 2 = 18 × 2 = 36.
- Multiplication and division facts. For example, 4 × 2 = 8, 8 ÷ 4 = 2 and 4 = 8 ÷ 2.
- Derivation of related facts. For example, 50 × 2 = 100, 100 ÷ 2 = 50 and 50 = 100 ÷ 2

**Number - Fractions**

- Understanding unit and non-unit fractions as numbers on the number line and concluding the relation between them like equivalence.
- Addition and subtraction of fractions with the same denominator using complex problems.

**Measurement**

- Measurement using the appropriate tools and units, comparing and using mixed units, for example, 2 kg and 300g and understanding simple equivalents of mixed units, for example, 4m = 400cm.
- Recognising the value of coins, adding and subtracting amounts, with mixed units, and giving change using manageable amounts.
- Use the analogue and digital 12-hour clocks and record their times.

**Geometry - Properties of Shapes**

Knowledge of the properties of shapes so that the students are able to describe the properties of 2-D shapes and 3-D shapes using the correct language, including lengths of lines, acute angles and obtuse angles.

**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 3 Maths Tips and Tricks

Here is a list of a few tips that can help students perform well in year 3 Maths.

- One of the important methods to teach year 3 Maths is that the teachers need to ensure that the students are consistent in practicing the subject because knowing a concept and the accuracy of the topic is different. Therefore, there is no tip for knowing the topic unless it is practised well.
- The multiplication tables need to be memorised because this helps in precision and fluency along with speed.
- Then, the most efficient method is to assess the students by asking verbal questions at the end of the lesson and then regular written tests so that the weaker areas of the child can be explored.

## FAQs on Year 3 Maths

### How to Teach Year 3 Maths?

In Year 3 maths, the students should be fluent in multiplication tables up to 8. One of the important methods to teach year 3 Maths is that the teachers should ensure that the students are consistent in practicing the subject. Another method that is always effective is that the students can be assessed by verbal questions and regular written tests so that the weaker areas of the child can be explored and can be worked upon.

### What Fractions do Year 3 Maths Children need to Know?

In year 3 Maths, the students need to be made familiar with the addition and subtraction of fractions with the same denominator within one whole, for example, 3/5 + 1/5 = 4/5. Apart from this, they need to understand unit and non-unit fractions as numbers on the number line and equivalent fractions like 2/3 and 4/6.

### What Times Table Should Year 3 Know?

A student studying year 3 Math should be able to count in multiples of 3, 4, and 8. This means they should be be knowing the times tables of up to 8. Apart from this, they should be able to multiply and divide two-digit numbers. For example, 15 × 3 = 45.

### What Topics do Children Learn in year 3 Maths?

The lessons and topics that are learnt by the students in year 3 Maths are given as follows:

- 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 3 Maths.

### How to Teach Word Problems for Year 3 Maths?

In order to solve word problems in year 3 Maths, the following points need to be kept in mind and can be taught to students:

- Read the problem loudly to yourself.
- Draw a picture or figure to understand and identify what the problem is about by looking for the relevant keywords like 'sum', 'difference', 'product', and so on.
- Write the quantity that you need to find out.
- Write the quantities that are given.
- Solve and check your answer.

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