Expanding Double Brackets
Expand products of two or more binomials, e.g., (x + 3)(x - 2) = x² + x - 6, using the grid method or FOIL; simplify the result by collecting like terms
Lesson
Set out your lesson
Use a four-product grid to expand two linear brackets, then collect like terms.
Before teaching
Use this short check, then start teaching.
First complete Expanding Single Brackets. Ask the learner to say what x² means and to simplify 2x + 3x. Expect x × x and 5x. Remind them that x² and x are different kinds of term. Revisit the prior lesson if signed products or distribution still need support.
Check readiness directly. Prerequisite availability is not attainment.
Share and support
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
To regroup or not to regroup
Before you open · source notes
To regroup or not to regroup supports expanding double brackets. Not every worksheet pack.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to explain one step of “To regroup or not to regroup” in their own words.
Opening this link does not save learning or assess mastery.
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. “To regroup or not to regroup.” 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
- Expand the product of two binomials using a systematic method (grid or FOIL)
- Collect like terms after expansion to simplify the result
- Expand products involving negative terms correctly
“Can your child multiply out two brackets like (x + 3)(x − 2) and collect the terms to get x² + x − 6?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Algebra
- Age range
- Ages 13–14
Standards