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MathematicsAlgebraAges 12–13

Factorising Expressions

Factorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x + 9 = 3(2x + 3)

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Find the greatest common factor of the terms, write a factor times a bracket, and check by expansion.

Find the greatest common factor of the terms, write a factor times a bracket, and check by expansion.

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Illustrative Mathematics · Practice link — not the full lesson

Snow Day

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Before you open · source notes

Snow Day supports factorising expressions. Not every worksheet pack.

Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.

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Ask the learner to explain one step of “Snow Day” in their own words.

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Source, access and review notes

Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.

Illustrative Mathematics. “Snow Day.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.

CC BY-NC-SA 4.0 — link only

Check understanding

  • Identify the highest common factor of all terms in an expression
  • Write the factorised form as a product of the HCF and a bracket
  • Check factorisation by expanding the brackets back out
“Can your child look at an expression like "6x + 9" and rewrite it with the common factor taken out — as "3(2x + 3)"?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Algebra
Age range
Ages 12–13

Standards

ccss-math:7.EE.1uk-nc-2013:KS3.Maths.Alg.4c