Bellwork Solve the equation Using square root:

Solving quadratic function by completing a square Section 3.3

What You Will Learn Solve quadratic equations using square roots. Solve quadratic equations by completing the square. Write quadratic functions in vertex form.

Let’s work with algebra tiles 𝑥 2 tile x tile 1 tile

Use algebra tiles to multiply (x + 2)(x + 3) You Try: multiply (x + 2)(x + 5)

Use algebra tiles to complete the square for the expression 𝑥 2 + 6x.

Use algebra tiles to complete the square for the expression 𝑥 2 + 4x+ ? What is the length of each side of the square? What is the area of the bigger square?

𝐻𝑜𝑤 𝑎𝑏𝑜𝑢𝑡 𝑥 2 + 6x + c What is the length of each side of the square? What is the area of the bigger square?

Work with your partner and fill up the table using you Algebra tiles.

In a perfect square, there is a relationship between the coefficient of the middle term and the constant term.

Can you come up with a pattern to find the value of C? Solve problem # 5 -7 in practice number 3.3 A side

Core concept

Solving Quadratic Equations by Completing the Square Solve the following equation by completing the square: Step 1: Keep quadratic term, and linear term to left side of the equation and move the constant term to the right side of the equation

Solving Quadratic Equations by Completing the Square Step 2: Find the term that completes the square on the left side of the equation. Add that term to both sides.

Solving Quadratic Equations by Completing the Square Step 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation.

Solving Quadratic Equations by Completing the Square Step 4: Take the square root of each side

Solving Quadratic Equations by Completing the Square Step 5: Set up the two possibilities and solve

You Try Practice packet 3.3 A side Problem # 9 - 12

You Try