Writing Algebraic Equations

MathematicsAlgebraAges 10–11

Express missing number problems algebraically using letters for unknowns; translate word problems into equations

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Teaching Table

Set out your lesson

Use a letter for an unknown, write a matching equation, solve it with inverse operations and check it in the original situation.

Activity

Ask for an expression for three equal groups of 4 with 2 more added. Expect 3 × 4 + 2. Ask what number added to 6 makes 10. Expect 4. If needed, use an empty box for the unknown before replacing the box with a letter.

Policy

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.

Only one unknown and positive whole-number solutions are used. Equations with unknowns on both sides, fractions or brackets need later teaching.

Record the actual response and assistance. These tasks do not establish mastery.

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Entire curriculum

1590 concepts · 8 subjects

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Teaching approaches

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Use a letter for an unknown, write a matching equation, solve it with inverse operations and check it in the original situation.

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Learning resources

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Check understanding

Write 'I think of a number, double it, and add 5 to get 17' as 2n + 5 = 17
Solve a one-step equation such as 3x = 24 and explain the reasoning
Express a word problem as an algebraic equation and find the unknown value

“If your child reads "I think of a number, double it, and add 5 to get 17," can they write that as an equation using a letter for the unknown and solve it?”

Curriculum record

Type: Representational
Subject: Mathematics
Domain: Algebra
Age range: Ages 10–11