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)
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Teaching Table
Set out your lesson
Distinguish expressions, equations and inequalities. Identify terms, coefficients and factors, and explain their different roles.
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.
Use the supplied sheets in order: Show, Guided, then Try. Start with the readiness check. This chain may need several short sessions. Do not set a speed target. Read the active sheet on screen and use plain paper or a keyboard. No printer, cutting, purchase or internet is needed. The adult may read the exact prompt, but must record any hints, scribing or calculation help. Oral reasoning is allowed; it does not show independent reading or handwriting. Pause or split the lesson if needed. Keep the adult guide and keys private. Share the Show model during teaching. Before Try, put Show, Guided work and notes aside. Leave the fresh Try givens available. Give no answer or target method during the first attempt. If help is needed, give it and mark the attempt supported. Discuss the keys after the attempt; do not invent a learner result. These are paper or oral mathematics tasks. No personal data, public sharing, purchase, real-world measurement or experiment is required.
Record the actual response and assistance. These tasks do not establish mastery.
Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view. Retain an earlier model only when the current step supplies it as context.
Teaching limits and safe use
These are finite task opportunities, not proof of mastery. Record what was attempted and what support was used.
Inequalities are classified, not solved. Factors are the two displayed parts of a product, not a request for every possible factorisation.
Record the actual response and assistance. These tasks do not establish mastery.
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Teaching approaches
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1 approach
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.
Family records and proof options
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Learning resources
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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 11–12
Standards