**Curriculum**

**Curriculum**

#### ★ Quadratics

Factoring

Null Factor Rule

0=ab, then a=0 or b=0

Graphing

x-intercepts, y=0

y-intercept, x=0

negative in front, U is up-side-down

Axis of Symmetry: x = -b/2a

Plug in x value to find y value, then point is the vertex

Different Forms of Quadratics

Standard Form: ax² + bx + c = 0

Factored Form: y = a (x – p) (x – q), where the x-intercepts are (p,0) and (q,0)

Vertex Form: y = a ( x − h )² + k, where (h,k) is the vertex

Word Problems

Maximum height = y value of the vertex

How much time = x value

x-axis is always the *independent* variable (usually time)

y-axis (height, for example) is always *dependent* on x

“How long until the ball hits the ground?” Height (y)=0, then solve for x (Time)

#### ★ Coordinate Geometry

Distance between two points (make a right triangle and use Pythagorean Theorem)

Midpoint between two points

Equations of lines

Determining if the point is on a line: plug it in, and will be a true statement

Slope/Gradient (rise/run)

Parallel Slope (same)

Perpendicular Slope (opposite reciprocal)

Triangles: Scalene (no sides the same), Isosceles (2 sides the same), Equilateral (3 sides the same)

Average rate of change is the same as calculating the slope