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Order of Operations

Order of Operations – Expression Trails WORKSHEET

Suitable for Year groups: Year 7, Year 8
GCSE Tier: Foundation
Targeting grades: 1-3
Prerequisite knowledge: Basic arithmetic operations. Knowledge of powers.
Learning Objective: Use conventional notation for the priority of operations, including brackets, powers, roots and reciprocals.

Order of Operations – Expression Trails WORKSHEET DESCRIPTION

This engaging worksheet helps students master using the correct order of operations (BIDMAS/BODMAS) through a visual "trail" approach. Students follow connected paths of expressions, where each calculation builds upon the previous result, creating a logical sequence that reinforces the order of operations.

The trail format makes abstract order of operations rules concrete and visual. Starting with simple expressions like "6 + 4," students progress through increasingly complex calculations involving brackets, indices (powers), division, multiplication, addition, and subtraction. The visual trail design helps students see how changing the position of brackets or operations affects results, making BIDMAS rules intuitive rather than memorised. This approach builds confidence and accuracy in handling complex mathematical expressions.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Order of Operations – Expression Trails worksheet

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Frequently Asked Questions

This worksheet is designed for Year 7 and Year 8 students who are developing their understanding of BIDMAS/BODMAS rules. The trail-based approach provides an age-appropriate way for these students to visualise how operations connect and build upon each other. The progressive difficulty helps bridge the gap between basic arithmetic and more complex algebraic thinking.