Two-Step Equations
Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity
Lesson
Set out your lesson
“Two-Step Equations means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Balance or equation cards with a box for the unknown
- Pencil
Extra for the adult
Worked example. □ + 3 = 10 → □ = 7 because 7 + 3 = 10.
Optional challenge. For Two-Step Equations, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Two-Step Equations, not mastery.
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Teaching approaches
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1 approach
Two-Step Equations means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Balance or equation cards with a box for the unknown; Pencil. Adult solves one simple unknown (□ + 3 = 10) and checks by substituting. Child solves three unknowns and checks each by putting the number back in. Done: three checked solutions. Stop after the fresh check; keep optional challenge for another day.
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Practice this concept
Start practiceTwo-Step Equations practice
Practice key ideas from Two-Step Equations.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
The Stamp Collection
Before you open · source notes
Start with 120 stamps, give away half, then use three more. This concrete two-step problem needs familiarity with half as division by two. It is not every operation combination.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk what half of the collection means before the second step. Do not read the solution diagram aloud as the learner's work.
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 2026-11-10 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. “The Stamp Collection.” 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
- Solve a two-step problem that combines addition/subtraction with multiplication/division
- Write an equation using a letter for the unknown (e.g. 3 × n + 5 = 26)
- Assess the reasonableness of the answer using estimation and mental computation
“Can your child write an equation like 'n + 25 = 60' to represent a word problem, and then solve it to find what n equals?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Addition & Subtraction
- Age range
- Ages 8–13
Standards