Use representations to describe and compare two fractions

Maths

Use representations to describe and compare fractions

Use representations to describe and compare two fractions in a continuous context

Use the language of equivalent fractions correctly

Explain the relationship between numerators and denominators in equivalent fractions

Use the relationship between the numerator and denominator in equivalent fractions to solve problems

Explain the relationship between numerators and denominators across equivalent fractions

Explain the relationship within families of equivalent fractions

Use the relationship between the numerator and denominator to simplify fractions

Use understanding of equivalent fractions to solve problems

Explain and represent how to divide 1 into different numbers of equal parts

Identify and describe patterns in the number system

Use knowledge of common equivalents to compare fractions and decimals

Recall common fraction-decimal equivalents

Solve problems using fraction-decimal equivalents

In this unit pupils will use representations to describe and compare two fractions. They will  explain the relationship within families of equivalent fractions and use their knowledge of common equivalents to compare fractions with decimals. In the future unit pupils will explain how to write a fraction in its simplest form when solving addition and subtraction problems. 

In the prior unit pupils will find unit and non-unit fractions of whole numbers and explore parts and wholes. In this unit pupils will use representations to describe and compare two fractions. They will  explain the relationship within families of equivalent fractions and use their knowledge of common equivalents to compare fractions with decimals.

In this unit pupils will use representations to describe and compare two fractions. They will explain the relationship within families of equivalent fractions and use their knowledge of common equivalents to compare fractions with decimals.

Comparing fractions using equivalence and decimals

Equal parts can be combined to make a whole.

The numerator is the top number in a fraction and shows how many equal parts we have.

The denominator is the bottom number in a fraction and shows how many equal parts the whole has been divided into.

Continuous means that every position on the line or scale has a value.

Equal means that something has exactly the same amount or value.

Equivalent fractions are fractions which have the same value, even though they may look different.

The proportion of a number, shape or group of objects is a part of the whole.

The numerator is the top number in a fraction and shows how many parts we have.

Scaling is when a quantity is made ___ times the size.

Scaling is when a quantity is made a number of times the size. To scale up is to multiply by a factor. To scale down is to multiply by a fraction or to divide.

When you are comparing the factors of two numbers, a common factor is one shared by both numbers.

When a fraction is in its simplest form, the numerator and denominator only share a common factor of one.

To simplify a fraction is to identify the highest common factor shared by the numerator and denominator and to scale down both by that factor.

To scale up or down is to multiply or divide by a given number or factor.

Equivalent fractions are fractions which have the same value, even though they may look different. They describe the same part or proportion of the whole

When we divide, we split an object, number or quantity into equal parts.

Each equal part has the same value as the others in the whole.

Numbers are equivalent if they have exactly the same value.

When we divide, we split an object, number or quantity into equal parts. Each equal part will have the same value as the others in the whole.

When one whole is divided into 10 equal parts, each part is one tenth. This can be expressed as a fraction or as a decimal.

When one whole is divided into 100 equal parts, each part is one hundredth. This can be expressed as a fraction or as a decimal.

Comparing fractions using equivalence and decimals

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