# IGCSE Higher Fractions and Decimals

Scheme of work: IGCSE Higher: Year 10: Term 1: Fractions and Decimals

#### Prerequisite Knowledge

• Equivalent Fractions, Decimals, and Percentages: Understanding how to convert between fractions, decimals, and percentages, and recognising equivalent values in different forms.
• Long Multiplication and Division: Ability to perform long multiplication and long division with whole numbers and decimals.
• Basic Fraction Operations: Familiarity with adding, subtracting, multiplying, and dividing fractions, particularly those with common denominators.
• Working with Common Denominators: Knowledge of how to find a common denominator for fractions and perform arithmetic operations with fractions that share the same denominator.

#### Success Criteria

• Use Common Denominators: Demonstrate the ability to add and subtract fractions and mixed numbers using common denominators accurately.
• Multiply and Divide Fractions: Successfully multiply and divide fractions and mixed numbers, ensuring correct simplification of results.
• Convert Recurring Decimals: Accurately convert recurring decimals into their corresponding fractional forms.

#### Key Concepts

• Use Common Denominators: Find the least common multiple (LCM) of denominators to add and subtract fractions accurately.
• Multiply and Divide Fractions: Convert mixed numbers to improper fractions before multiplying or dividing, then simplify the result.
• Convert Recurring Decimals: Use algebra to represent and shift the decimal point, then isolate the repeating sequence and simplify the resulting fraction.

#### Common Misconceptions

• Use Common Denominators: Believing that only the numerators need to be added or subtracted without adjusting for common denominators.
• Multiply and Divide Fractions: Multiplying or dividing fractions without converting mixed numbers to improper fractions first.
• Incorrectly multiplying or dividing by the reciprocal when dividing fractions.
• Convert Recurring Decimals: Misidentifying the repeating sequence in a recurring decimal.
• Incorrectly setting up or solving the algebraic equation to convert the decimal to a fraction.

### Mr Mathematics Blog

#### Estimating Solutions by Rounding to a Significant Figure

Explore key concepts, FAQs, and applications of estimating solutions for Key Stage 3, GCSE and IGCSE mathematics.

#### Understanding Equivalent Fractions

Explore key concepts, FAQs, and applications of equivalent fractions in Key Stage 3 mathematics.

#### Transforming Graphs Using Function Notation

Guide for teaching how to transform graphs using function notation for A-Level mathematics.