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Math · Foundational

Algebra Basics

Algebra is arithmetic with the numbers left blank. Learn the order of operations, write expressions with letters, collect like terms with algebra tiles, expand brackets with area pictures, turn matchstick patterns into formulas, and use algebra to explain why number tricks always work.

8 lessons~50 min0/8 complete
1

The Language of Algebra

Rules for reading and writing expressions.

  1. Order of OperationsWhich sum comes first?
  2. Letters for NumbersVariables and expressions
2

Simplifying

Collecting, expanding and factoring.

  1. Like TermsCollecting with algebra tiles
  2. The Distributive LawExpanding and factoring
  3. Two BracketsArea models and special products
3

Algebra at Work

Patterns, proofs and checks.

  1. Patterns to FormulasMatchsticks and dot triangles
  2. Why the Tricks WorkAlgebra as proof
  3. Is It Always True?Identities and counterexamples