Unraveling Algebraic Conventions and Terms: Groups of Mysteries

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Dive into the world of algebraic conventions and terms with these intriguing mysteries. Explore ways to simplify and multiply algebraic expressions through visual examples and self-explanation prompts. Test your understanding with interactive questions and solutions that will enhance your algebraic skills.

  • Algebraic Conventions
  • Math Puzzles
  • Visual Learning
  • Problem Solving
  • Education

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Presentation Transcript


  1. Groups of mysteries Explicit teaching

  2. Groups of mysteries (1) Algebraic conventions 5 ? = 5? 1 ? = ? These are ways that we can ? ? = ?? shorten ? ? = ?2 multiplications. ? ? ? ? = ?4 2

  3. Groups of mysteries (2) Multiplying algebraic terms example 1 2 3? = 6? 3

  4. Groups of mysteries (3) Multiplying algebraic terms self-explanation prompts 1 2 3? = 6? Where is the 3? from this question shown in the diagram? How does the diagram show a solution of 6?? 4

  5. Groups of mysteries (4) Your turn question 1 5 2? = 5

  6. Groups of mysteries (5) Your turn solution 1 5 2? = 10? 6

  7. Groups of mysteries (6) Multiplying algebraic terms example 2 5? 3? = 15?2 7

  8. Groups of mysteries (7) Multiplying algebraic terms self-explanation prompts 2 5? 3? = 15?2 Why do the blue squares have a value of ?2? Why are the ?2 tiles in the shape of squares? 8

  9. Groups of mysteries (8) Your turn question 2 2? 4? = 9

  10. Groups of mysteries (9) Your turn solution 2 2? 4? = 8?2 10

  11. Groups of mysteries (10) Multiplying algebraic terms example 3 2? 3? = 6?? 11

  12. Groups of mysteries (11) Multiplying algebraic terms self-explanation prompts 3 2? 3? = 6?? How would you describe the shape of an ?? tile? What is different Why might the tiles about the ? and ? be called ?? and tiles? not ??? 12

  13. Groups of mysteries (12) Your turn question 3 ? 8? = 13

  14. Groups of mysteries (13) Your turn solution 3 ? 8? = 8?? 14

  15. Groups of mysteries (14) Notes to your future self 4? 3 5? 2? 4? 4? 2?? 3? 15

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