Working with Fractions

Writing equivalent fractions

Introducing mixed numbers

Comparing fractions with different denominators

Adding fractions using a fraction wall

Subtracting fractions using a fraction wall

Calculating fractions of an amount

Prerequisite Knowledge

• Compare and order fractions whose denominators are all multiples of the same number
• Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
• Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number
• Add and subtract fractions with the same denominator and denominators that are multiples of the same number
• Use common factors to simplify fractions; use common multiples to express fractions in the same denomination
• Compare and order fractions, including fractions > 1

Key Concepts

• Equivalent fractions are found by multiplying the numerator and denominator by the same number or term. Students often benefit having a visual representation back up the written method.
• To convert between mixed numbers and top heavy fractions students often benefit from drawing diagrams to back up their written methods.
• To simplify a fraction the numerator and denominator are divided by their highest common factor.
• When comparing fractions less able students benefit from using the fraction wall. More able students should use equivalent fractions as the written method.
• Similar to comparing fractions when performing addition and subtraction students can use a fraction wall to visualise the increased or decreased amount.
• The lowest common multiple is used to make the denominators equal when adding and subtracting fractions.

Working mathematically

Develop fluency

• Consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals and fractions.

Reason mathematically

• Extend their understanding of the number system; make connections between number relationships, and their algebraic and graphical representations

Solve problems

• Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems

Subject Content

Number

• Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, ≠, <, >, ≤, ≥
• Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative