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Understanding Fractions and Decimals: A Year-By-Year Guide

This comprehensive guide explores the foundational concepts of fractions and decimals for Year 1 to Year 3 students. Starting with basic parts of a whole, like halves, quarters, and eighths, it emphasizes the importance of prior knowledge in division and partitioning. The description of unit fractions and their relationships to shapes and materials helps students develop a solid understanding of fraction representations. Reinforcement of multiplication and division facts is integrated to ensure students have the necessary skills for mastering these concepts.

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Understanding Fractions and Decimals: A Year-By-Year Guide

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  1. Fractions and Decimals Prep: There are parts in a whole • Year 1: One-half is one of two equal parts of a whole • Year 2: halves, quarters and eighths of shapes. A fourth (half of a half, quarter) as any one of four equal parts of a whole and an eighth (half of a fourth) as any one of eight equal parts of a whole • Number and Place Value: In order for students to grasp an understanding of these concepts, they would need prior knowledge of dividing by 2, 4 and 8 • Partitioning: Students need to understand the partitioning concept to successfully understand different unit fractions • Year 3: Unit fractions 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole and symbols, diagrams, materials and words in relation to unit fractions to tenths • Number and Place Value: Students will first recall their multiplication facts of two, three, five and ten and related division facts

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