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Topics in Fractions:

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Finding Unit Fractions of Quantities

3F–2: Find unit fractions of quantities using known division facts.
For example, 1/5 of 15 = 3. This strengthens the link between division and fractions, enhancing stu...
Fractions
Year 3

Decimal and Fraction Equivalents

5F–3: Recall decimal fraction equivalents for 1/2, 1/4, 1/5 and 1/10, and for multiples of these proper fractions.
Links fractions and decimals, vital for transitionin...
Fractions
11+
Year 5

Multiplying and Dividing Fractions

7F–2: Multiply and divide proper fractions, improper fractions, and mixed numbers, simplifying results where appropriate.
Builds confidence in working with fractional ...
Fractions
11+
Year 7

Reasoning with Different Denominators

6F–3: Compare fractions with different denominators, including fractions greater than 1, using reasoning, and choose between reasoning and common denomination as a compar...
Fractions
Year 6
11+

Comparing Fractions with Common Denominators

6F–2: Express fractions in a common denomination and use this to compare fractions that are similar in value.
Facilitates a deeper comprehension of fraction equivalenc...
Fractions
Year 6
11+

Adding and Subtracting Fractions

3F–4: Add and subtract fractions with the same denominator, within 1.
Develops skills for combining and separating parts, essential for advanced mathematical concepts.
Fractions
Year 3

Understanding Equivalent Fractions

5F–2: Find equivalent fractions and understand that they have the same value and the same position in the linear number system.
Crucial for comparing fractions and sim...
Fractions
11+
Year 5

Simplifying Fractions

6F–1: Recognise when fractions can be simplified, and use common factors to simplify fractions.
Strengthens understanding of fractions, making calculations more effici...
Fractions
Year 6
11+

Understanding Mixed Numbers

4F–1: Reason about the location of mixed numbers in the linear number system.
Enhances understanding of fractions and mixed numbers, crucial for accurate computation a...
Fractions
Year 4

Direct Proportion and Scaling Quantities

7F–6: Solve problems involving direct proportion, including scaling quantities up or down using multiplicative relationships.
Develops understanding of proportional re...
Fractions
11+
Year 7

Percentage Increase and Decrease

7F–3: Calculate percentage increases and decreases, including in financial and real-world contexts, and interpret the results accurately.
Strengthens proportional reas...
Fractions
11+
Year 7

Adding and Subtracting Complex Fractions

7F–1: Add and subtract fractions with different denominators, including mixed numbers and improper fractions, by finding common denominators and simplifying where possibl...
Fractions
11+
Year 7

Simplifying Ratios

7F–4: Recognise when ratios can be simplified, and use common factors to simplify ratios.
Enhances understanding of proportional relationships and efficiency in proble...
Fractions
Number & Place Value
11+
Year 7

Converting Ratios and Fractions

7F–5: Convert between ratios and fractions, and use these forms interchangeably to compare quantities and solve problems, recognising the multiplicative relationships bet...
Fractions
11+
Year 7

Finding Non-unit Fractions of Quantities

5F–1: Find non-unit fractions of quantities.
Enables students to apply fraction knowledge to find parts of quantities, essential for real-world applications and advanc...
Fractions
11+
Year 5

Writing and Interpreting Fractions

3F–1: Interpret and write proper fractions to represent 1 or several parts of a whole that is divided into equal parts.
This foundational skill in fractions aids in un...
Fractions
Year 3

Fraction Placement on a Number Line

3F–3: Reason about the location of any fraction within 1 in the linear number system.
Improves understanding of the meaning of a fraction and how different fractions a...
Fractions
Year 3

Adding and Subtracting Fractions with Bridging

4F–3: Add and subtract improper and mixed fractions with the same denominator, including bridging whole numbers.
Develops advanced fraction skills, preparing students ...
Fractions
Year 4

Converting Mixed and Improper Fractions

4F–2: Convert mixed numbers to improper fractions and vice versa.
Strengthens flexibility in working with fractions, supporting more advanced mathematical operations.
Fractions
Year 4