The four operations — addition, subtraction, multiplication, and division — form the foundation of mathematical fluency. In IB PYP, students learn these operations through concrete materials, visual models, and contexts that make the maths meaningful.
Students progress from counting on / counting back → using number lines → place value strategies → standard algorithms. Mental strategies: making tens, doubles, compensation (e.g., 48 + 27 = 50 + 25 = 75). Understanding the relationship between addition and subtraction (inverse operations) is emphasised.
Multiplication is introduced as repeated addition and array models, then extended to area models and the standard algorithm. Division is understood as equal sharing and grouping. Key concepts: fact families, commutativity (3 × 4 = 4 × 3), and the relationship between multiplication and division.
PYP emphasises applying operations in real-life contexts. Students identify which operation to use, estimate answers, solve the problem, and check for reasonableness. Bar models and part-whole diagrams are common visual strategies.
In the IB PYP approach, conceptual understanding comes first — students should understand why 6 × 7 = 42 (using arrays, skip counting, repeated addition) before memorising. Most IB schools aim for fluency with multiplication facts (up to 12 × 12) by ages 9–10, while continuing to build deeper understanding through problem solving.
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