Expressions & Equations Vocabulary
Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms, and factors; distinguish between an expression (no equals sign), an equation (equals sign), and an inequality (inequality sign)
Lesson
Set out your lesson
Distinguish expressions, equations and inequalities. Identify terms, coefficients and factors, and explain their different roles.
Before teaching
Use this short check, then start teaching.
Ask what 5x means and what x² means. Expect 5 × x and x × x. Ask whether 5 + 2 = 7 says the two sides have equal value. If the learner cannot read the notation, revisit Algebraic Notation before introducing more labels.
Check readiness directly. Prerequisite availability is not attainment.
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Distinguish expressions, equations and inequalities. Identify terms, coefficients and factors, and explain their different roles.
Distinguish expressions, equations and inequalities. Identify terms, coefficients and factors, and explain their different roles.
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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
Halves, thirds, and sixths
Before you open · source notes
Halves, thirds, and sixths supports expressions & equations vocabulary. 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 “Halves, thirds, and sixths” 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. “Halves, thirds, and sixths.” 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
- Define and distinguish between expression, equation, and inequality
- Identify terms, coefficients, and factors in algebraic expressions
- Use the vocabulary of algebra precisely in mathematical discussions
“Can your child explain the difference between an expression like "3x + 2," an equation like "3x + 2 = 11," and an inequality like "3x + 2 > 11"?”
Curriculum record
- Type
- Language
- Subject
- Mathematics
- Domain
- Algebra
- Age range
- Ages 11–13
Standards