Algebra: Quadratic Factoring

Skill focus: Quadratic Factoring

For the parent

Today's skill is quadratic factoring. Have your student articulate the problem in plain English first. Then write the math. Encourage checking work by substituting the answer back into the original. Math is a language — fluency comes from practice with feedback.

What you'll need

pencil
paper
scratch paper

Warm-up

Solve: 2x + 5 = 15. Now write your own equation whose answer is x = 7. Trade and solve.

Guided practice

1
Factor: x² - 4x + 4
Parent tip: Walk through this step-by-step with your child. Say each step out loud.
2
Factor: x² - 3x + 2
Parent tip: Walk through this step-by-step with your child. Say each step out loud.

Your turn

1
Factor: x² - 5x + 4
2
Factor: x² - 4x + 3
3
Factor: x² - 8x + 12
4
Factor: x² - 6x + 9
5
Factor: x² - 9x + 20
6
Factor: x² - 10x + 24
7
Factor: x² - 7x + 6
8
Factor: x² - 3x + 2
9
Factor: x² - 7x + 12
10
Factor: x² - 9x + 20

★ Challenge

Make up your own problem like the ones above and solve it. Trade with a family member.

Reflection

Which problem made you think the hardest today? Why?

For the parent

Answer key

guided #1(x − 2)(x − 2)

guided #2(x − 1)(x − 2)

independent #1(x − 1)(x − 4)

independent #2(x − 1)(x − 3)

independent #3(x − 6)(x − 2)

independent #4(x − 3)(x − 3)

independent #5(x − 4)(x − 5)

independent #6(x − 4)(x − 6)

independent #7(x − 1)(x − 6)

independent #8(x − 1)(x − 2)

independent #9(x − 3)(x − 4)

independent #10(x − 5)(x − 4)

Bright Hearth · printable for home learning