The Four Seasons - December, 1963 (Oh, What a Night) https://www.youtube.com/watch?v=V5avtHEFVvs Elementary Algebra Lesson 9: Rate of Work https://www.youtube.com/watch?v=VJLzSts-PeI

Ingredients 3 cups granulated sugar 1 cup light corn syrup 1/4 cup water 1/2 tsp peppermint extract A few drops of red food coloring

Candy Canes

Unit 5 – Algebra in Context Word Wall

Perfect Squares 12 22 32 42 52 …

Solving Quadratic Equations

Solve: x2 = 11x + 12 x – 12 = 0 , x + 1 = 0 +12 +12 –1 –1 x = 12 A Solve: x2 = 11x + 12 Step 1: Let each factor equal 0 x – 12 = 0 , x + 1 = 0 +12 +12 –1 –1 Step 2: Solve each equation x = 12 x = –1

Solve: 3x2 – 27 = 0 3(x + 3)(x – 3) = 0 x + 3 = 0 , x – 3 = 0 –3 –3 B Solve: 3x2 – 27 = 0 3(x + 3)(x – 3) = 0 Step 1: Factor completely Step 2: Let each factor equal 0 x + 3 = 0 , x – 3 = 0 –3 –3 +3 +3 Step 3: Solve each equation x = –3 x = 3

Solve: 2x2 = 3x 2x2 – 3x = 0 x(2x – 3) = 0 x = 0 , 2x – 3 = 0 +3 +3 C Solve: 2x2 = 3x Step 1: Write in standard form. Move 12x to left side of the equation. Change the sign. 2x2 – 3x = 0 x(2x – 3) = 0 Step 2: Factor completely Step 3: Let each factor equal 0 x = 0 , 2x – 3 = 0 +3 +3 Step 4: Solve each equation x = 0 2x = 3 x = 3/2

Solving quadratic equations using Square Root Property a is a positive number

Use square root property H Solve: x2 = 9 Use square root property This means x = –3 and x = 3

Use square root property Solve: x2 = 12 I Use square root property

Use square root property J Solve the equation Use square root property

Use square root property K Solve the equation Divide both sides by 6 Use square root property

Use square root property L Solve the equation 3x2 – 33 = 0 +33 +33 Add 33 to both sides 3x2 = 33 Divide both sides by 3 x2 = 11 Use square root property