Mauricio and Emily explore whether or not their two algebraic expressions from Episode 4 are equivalent. Specifically, they provide justifications for forming the following equation: (y + 4) • (y + 3) = y2 + (4 • 7) + (3 • y) + 12.
Episode Supports
Focus Questions
For use in a classroom, pause the video and ask these questions:
[Pause the video at 0:46] Examine the expressions that Mauricio and Emily wrote (in green) and the new equation that Alexa wrote. What similarities and differences do you notice?
[Pause the video at 4:36] Pick a number for y and use it to check if the equation is true. Afterwards, watch as Emily and Mauricio do the same and compare their process to yours
Supporting Dialogue
[Pause the video at 6:56] Explain to a partner how Emily and Mauricio used a value of y = 2 to show the equation is true. Then discuss how else you might show the equation is true. Can you use the drawing and the idea of area to show both sides of the equation are the same?
