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Understanding Equations: Always, Sometimes, or Never True?

This project activity engages students in critical thinking about equations and identities, specifically examining the equation (x + 2)(y + 2) = xy + 4. In groups, students will take turns placing a card in a categorized column while justifying their reasoning. If the equation is deemed sometimes true, they will find values for which it holds or fails. For always or never true categorizations, students must provide solid explanations. After consensus, they will glue the card to a poster, documenting their reasoning alongside.

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Understanding Equations: Always, Sometimes, or Never True?

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Presentation Transcript

  1. Sorting Equations and Identities Projector Resources

  2. Always, Sometimes, or Never True? (x + 2)(y + 2) = xy + 4

  3. Always, Sometimes, or Never True? • In your groups, take turns to place a card in a column and justify your answer to your partner. • If you think the equation is sometimes true, you will need to find values of x for which it is true and values of x for which it is not true. • If you think the equation is always true or never true, you will need to explain how we can be sure that this is the case. • Another member of the group should then either explain that reasoning again in his or her own words, or challenge the reasons you gave. • When the entire group agrees, glue the card onto your poster. Write the reason for your choice of category next to the card.

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