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Mathematics Class 8

We Distribute, Yet Things Multiply

Open a bracket, multiply out two brackets, and find the missing middle term.

11 lessons · ~79 min total

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Lessons in this topic

  1. 0 Start here A roadmap: open a bracket, add a letter, meet two brackets, and find the missing middle. · 4 min You are here
  2. 1 The cut that moves nothing A block cut into two parts still holds every chair, so the parts add back to the whole. · 5 min
  3. 2 The number outside meets every term inside A multiplier in front of a bracket must reach every term inside it. · 7 min
  4. 3 The same move with a letter inside A letter inside a bracket changes nothing about the move, so the bracket still opens. · 8 min
  5. 4 A minus that reaches every term A take-away sign inside a bracket comes out attached to its own term. · 7 min
  6. 5 Two brackets, and every pairing between them Two brackets multiplied together give four products, not two. · 9 min
  7. 6 Joining only the pieces of one kind Only terms whose letter parts match exactly may be gathered into one. · 7 min
  8. 7 The middle piece that goes missing Squaring a sum makes four rectangles, and two of them are easy to drop. · 9 min
  9. 8 Splitting a number on purpose Cut a factor at a round number, and a hard product becomes two easy ones. · 8 min
  10. 9 The big picture Eight ideas, tied back together. · 6 min
  11. 10 Track quiz A cheat-sheet table and eight questions, one per idea. · 9 min