Unit 4: Expressions and Equations

Write expressions in equivalent forms to solve problems. A.SSE.3: Algebra – Seeing Structure in Expressions Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. a) Factor a quadratic expression to reveal the zeros of the function it defines.

Ability to connect the factors, zeros, and x- intercepts of a graph Ability to use the Zero- Product Property to solve quadratic equations Ability to recognize that quadratics that are perfect squares produce graphs which are tangent to the x- axis at the vertex

Find the numbers represented by the symbols that satisfy the given conditions: * = -3 + = -2

Rules: Green side is positive, yellow side is negative. The big square is x 2, the stick is x, the little square is 1. A pair of the same shape but different colors will cancel each other out. Each team will receive a pack with these materials. I will write an expression on the board and I want you to form a rectangle using all the pieces representing the expression. You can only add sticks, and they should be in pairs. Q: What property should this pair of sticks have and why?

What expression does this rectangle represent? x 2 + 2x – 15

Find the numbers represented by the symbols that satisfy the given conditions: * = -3 + = -2

Factor:1)x 2 – 2x – 3

Factor:2)x 2 – 6x + 9

Zero Factor Law: If a*b = 0, then either a = 0 or b = 0. Solve:(x + 3)(x – 5) = 0

Solve:1)x 2 – 2x – 3 = 0

Solve:2)x 2 – 6x = –9

1)y = x 2 – 2x – 3

y = x 2 – 2x – 3

2)f(x) = x 2 – 6x + 9

f(x) = x 2 – 6x + 9

Fill in the blanks: 1)The solutions to a quadratic equation are the ___________ of the corresponding quadratic function. 2)The lowest (or highest) point in a parabola is called a _________.

Teach Me How To Factor Quad Solve!!!