# Year 6 Maths

**Year 6 Maths** includes a curriculum that is based on combining many topics together. It covers the topics of larger numbers, their multiples, factors, decimals, percentages, geometry, and so on. Apart from these, there are two new topics that are introduced this year, algebra and ratio and proportion. These topics form the base of the topics for higher grades.

## Year 6 Maths Curriculum

Year 6 Maths curriculum aims at preparing the students to strengthen their roots and concepts at this level and start complex thinking. The following list shows the complete curriculum for Year 6 Maths which helps in understanding what a student of year 6 should know at the end of year 6.

**Number - Number and Place Value**

- Compare, order, and know numbers up to 10,000,000 and the place value of every digit.
- Rounding of numbers up to the required position.
- Use of negative numbers.
- Solve number problems and practical problems related to the topics given above.

**Number - Addition, Subtraction, Multiplication and Division**

- Multiply 4-digit numbers with 2-digit numbers using the written method of long multiplication.
- Divide numbers up to 4 digits by 2-digit numbers using the written method of long division, and find the appropriate remainders which can be fractions, whole numbers, or numbers that can be rounded off.
- Solve problems that involve mental calculations with mixed operations and large numbers.
- Identify prime numbers, common multiples and common factors.
- Use the order of operations for calculations that involve all the four operations of addition, subtraction, multiplication and division.
- Solve problems related to the four operations addition, subtraction, multiplication and division and understand the reason behind it.
- Estimate the answers of the calculations and problems.

**Number - Fractions (including decimals and percentages)**

- Use common factors to reduce fractions and use common multiples to express fractions that are in the same denomination.
- Arrange fractions and compare them including fractions that are more than 1, that is, mixed fractions.
- Add and subtract different kinds of fractions such as unlike fractions, mixed numbers, and use the concept of equivalent fractions.
- Multiply proper fractions and write the answer in its lowest form. For example, 1/3 × 1/2 = 1/6
- Divide proper fractions by whole numbers. For example, 1/4 ÷ 6 = 1/24
- Relate a fraction with division and find the equivalent decimal fraction for it. For example, 3/4 can be written as 0.75
- Identify the accurate value of every digit in the given number up to three decimal places. Give answers up to three decimal places after multiplying and dividing numbers by 10, 100 and 1000
- Multiply 1-digit numbers up to two decimal places by whole numbers.
- Use the division method in which the answer comes up to two decimal places.
- Understand the relation between simple equivalent fractions, decimals and percentages.

**Ratio and Proportion**

- Solve problems in which the missing values can be calculated that involve the relative sizes of two quantities by using integer multiplication and division facts.
- Solve problems related to the calculation of percentages. For example, calculations like 5% of 450. Use of percentages for comparing quantities.
- Solve problems related to similar shapes in which the scale factor is known or can be calculated.
- Solve problems that include unequal sharing and grouping.

**Algebra**

- Use of simple and basic formulae.
- Create and explain linear number sequences.
- Express problems based on missing numbers algebraically.
- Calculate pairs of numbers that satisfy an equation with two unknown quantities.
- List the possibilities of combinations of two variables.

**Measurement**

- Solve problems that include the conversion of units of measure, using decimals up to three decimal places wherever needed.
- Convert standard units such as measurements of length, mass, volume and time. The conversion should be from a smaller unit of measure to a larger unit, and vice versa,
- Conversion between miles and kilometres.
- Understand that shapes with the same areas can have different perimeter and vice versa.
- Use formulae for area and volume of shapes.
- Calculate the area of triangles and parallelograms.
- Calculate and compare the volume of cubes and cuboids using standard units, like cubic centimetres (cm
^{3}), cubic metres (m^{3}), mm^{3}, km^{3}

**Geometry - Properties of Shapes**

- Draw 2-D shapes with the use of the given dimensions and angles.
- Identify and build simple 3-D shapes, including their nets.
- Classify and compare geometric shapes based on their properties. Calculate the unknown angles in triangles, quadrilaterals, and regular polygons.
- Draw and name the different parts of circles, like radius, diameter and circumference. Understand that the diameter of a circle is twice the radius.
- Identify the angles and find the missing angles when they are located on a straight line, or are vertically opposite.

**Geometry - Position and Direction**

- Describe the positions on the full coordinate grid for all the four quadrants.
- Draw and illustrate simple shapes on the coordinate plane to reflect them in the axes.

**Statistics**

- Understand and draw pie charts and line graphs and use them to solve problems.
- Calculate the mean and interpret it as an average.

## Year 6 Maths Tips and Tricks

Here is a list of a few tips that can help students perform well in year 6 Maths. While the teachers and parents need to keep certain things in mind, at this level, even the students can make an effort to learn the subject using a few tips given below.

- Students should regularly practice questions and solved examples based on each lesson that is taught.
- Teachers and parents need to always encourage the students so that they remain confident of the work that they are doing.
- Students should try to solve the questions on their own and then ask for help.
- By the end of year 6, the students should memorise the multiplication tables up to 12.

## FAQs on Year 6 Maths

### What Topics do you Learn in Year 6 Maths?

The following topics are covered in the year 6 Maths curriculum:

- Number and Place Value
- Addition and Subtraction
- Multiplication and Division
- Ratio and Proportion
- Algebra
- Fractions (including decimals and percentages)
- Measurement
- Geometry (Properties of Shapes and Position and Direction)
- 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 6 Maths.

### is Algebra there in the Year 6 Maths Curriculum?

Yes, Algebra is a new topic that is introduced in year 6 Maths. It includes the use of simple and basic formulae, expressing problems based on missing numbers, finding numbers that satisfy an equation and so on.

### How to Teach Algebra in Year 6 Maths?

Algebra can be taught in year 6 Maths using the following methods:

- Let the students identify what is missing and what needs to be calculated and form an equation accordingly.
- Verify the answer by placing the calculated value in the equation that was formed.
- Make the students understand that Algebra involves symbols that represent variables and they can be easily solved using the basic arithmetic rules.

### What are the Objectives of teaching Mental Maths in year 6?

The objective of teaching mental Maths to Year 6 students is that they should be able to manage the calculation of their day-to-day needs on their own. For example, they should be able to tell the time in the clock, carry out basic transactions at shops, measure quantities and most importantly solve their day-to-day problems related to sharing and sorting**.**

### What Times Tables Should Year 6 Know?

In year 6 Maths, a student should know the multiplication tables up to 12. This will not only help them multiply 4-digit numbers with 2-digit numbers with ease, but will also help them solve larger problems of division and manage their daily calculations easily.

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