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Algebra — Expressions and Equations

5 min readGrade 6 · Algebra & Patterning

Algebra is generalized arithmetic — instead of 3 + 5, we write 3 + x and ask what x must be. Expressions and equations let students describe relationships compactly. Solving x + 7 = 15 by 'undoing' the addition introduces the idea of inverse operations as an algebraic tool.

What students explore

Algebra is generalized arithmetic — instead of 3 + 5, we write 3 + x and ask what x must be. Expressions and equations let students describe relationships compactly. Solving x + 7 = 15 by 'undoing' the addition introduces the idea of inverse operations as an algebraic tool.

Key ideas

Write and evaluate algebraic expressions. Identify a variable as a symbol for an unknown quantity. Solve one-step equations using inverse operations. Represent a problem situation with an equation and solve it.

Putting it together

Apply these ideas through hands-on activities, guided practice, and real-world problems.

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