Teach factors, multiples, powers and roots step by step with this Year 7 KS3 maths workbook. Includes clear explanations, 29 worked examples, practice and full teacher answers.

The sequence starts with basic number relationships and builds towards independent problem solving. Visual models, factor trees and prime-factor Venn diagrams help pupils understand why each method works.

Topics covered:

• Factors, factor pairs, multiples and divisibility tests.
• Prime numbers, composite numbers and prime factorisation.
• Highest common factor (HCF) and lowest common multiple (LCM), including contextual problems.
• Squares, cubes, powers and index notation.
• Negative signs, brackets and order of operations.
• Square roots, cube roots, decimal roots and locating roots between consecutive whole numbers.
• Clearly marked optional extension on index laws, zero and negative powers, and higher roots.

Teaching and practice:

• Diagnostic questions to identify starting points.
• LEARN explanations and worked examples with numbered steps.
• Immediate tasks, guided practice and independent practice.
• Common-error correction and mathematical reasoning.
• Two 20-mark final checks and delayed retrieval.
• Dotted answer spaces for calculations, explanations and diagrams.

Files included:

• 43-page student workbook PDF.
• 14-page teacher guide PDF with full answers, marking guidance and teaching notes.
• Editable Word versions of both documents.

57 pages in total, including covers. Word text, tables and calculations are editable; diagrams are movable vector images.

Suitable for classroom teaching, intervention, tutoring, homework and revision. Teachers can select the core sections or add extension tasks according to pupils’ prior understanding.

Module 3 in the Lumivora Step-by-Step KS3 Maths series.