I can explain what a quadratic equation looks

I can explain what a quadratic equation looks like on a graph and as an equation! Warm Up

Warm Up

Warm Up

Semester 2 Changes 60% Application Tests 30% Learning Targets - 100% Highly Proficient - 85% Advanced Proficient - 75% Proficient - 0% Not proficient/not assessed 10% Homework - Late homework will be accepted for full credit UNTIL the unit test

Homework vs Grade Tests Learning Homewor Targets k Final Grade 67% 76% 56% C D 66% 79% 43% 65% 71% C D C C 83% 96% 100% 74% 89% 38% A B B C

Algebra I LAST UNIT Chapter 8 Linear Systems Inequalities is ab out. . . Equation Standard Form NEXT UNIT CURRENT UNIT Real Life Which are found in Quadratics Which Have an Which use the Vertex Form That look Like a Which involve That use the Quadratic Formula Where You can Parabola Factoring Find Solutions Zero Product Property UNIT SELF-TEST QUESTIONS How do you factor a quadratic expression completely? How do you know if there are roots to a quadratic equation? How do you find the roots of a quadratic equation? How can you predict what a parabola will look like? How can you find the equation of a parabola? What is special about zero? Make connections Generalizing Extending Applying

INTRODUCING… Quadratics

The shape of the rainbow is based on a quadratic equation.

If you graph this equation it will show the path of a dolphin’s jump

Take a closer look at the path a dolphin follows. The shape of this path is called a Parabola

All Drinking fountains make parabolas

The Parabola can face upward… Vertex Axis of Symmetry

Downward Parabolas y-axis Vertex x-axis The Solutions (x-intercepts)

Vertex x-axis The Solutions (x-intercepts)

Standard form (if we used letters instead of numbers)… a is the Leading Coefficient Tells you if the parabola is up or down y-intercept Example using numbers: 2 + 5 x – 3 y = 2 x The square is what lets you know this a quadratic equation

Vertex form Y value at the vertex Example using numbers: X value at the vertex 2 y = 2(x - 4) - 3

2 X + 7 x + 10 (x + 5)(x + 2)

TELLS ME THE SOLUTIONS (x + 2)(x + 3)

Notes Three Types of Terms # : 4, 5, 1, 0 x: 3 x, -2 x 2 2 2 x : 2 x , -3 x

Worksheet Part A: #1 -4 Part B: #5 -13 Part C: #14 -17 check answers every 2 problems

Bi-Annual Assessment

HOMEWORK page 199 #5 -26 through 5 -32