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MathematicsAlgebraAges 10–11

Equations with Two Unknowns

Find pairs of numbers that satisfy an equation with two unknowns (e.g. find pairs (a, b) where a + b = 10 or 2a + b = 15)

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List ordered pairs that satisfy a two-variable equation and justify that a bounded list is complete.

List ordered pairs that satisfy a two-variable equation and justify that a bounded list is complete.

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Check understanding

  • List all whole-number pairs (a, b) where a + b = 12 with a, b > 0
  • Find three pairs that satisfy 2x + y = 20
  • Explain systematically how to generate all integer solutions to a two-variable equation within a given range
“Can your child find different pairs of numbers that both satisfy a rule — for example, all the pairs of whole numbers that add up to 10?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Algebra
Age range
Ages 10–11