Mathematics Algebra Procedural 10–11 yrs

Equations with Two Unknowns

含两个未知数的方程

Description

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)

Mastery Evidence
  • 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
Assessment Prompt

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?