Coach: look at the exit check results and the paper practice. Go back over every item a student missed: read it together, have the student explain their thinking, then show the correct thinking. Use the reteach routine below for anyone who missed two or more. Students who got everything right take the stretch task.

🔄 Reteach it (missed two or more)

Use a factor table: list factor pairs of c (with signs) in one column and their sums in another. Circle the pair whose sum is b. Check by expanding (FOIL or a box).

Always look for a GCF first.

c = 12, b = 7. Pair?
Answer: 3 and 4: (x + 3)(x + 4).
c = −6, b = 1. Pair?
Answer: 3 and −2: (x + 3)(x − 2).
x² − 16
Answer: (x − 4)(x + 4).

🚀 Stretch it (got everything right)

Factor 2x² + 7x + 3.
Answer: (2x + 1)(x + 3).
Explain why x² + 4 cannot be factored over the integers but x² − 4 can.
Answer: x² − 4 is a difference of squares; x² + 4 is a sum, and no two integers multiply to 4 and add to 0.