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Unit 4: Expressions and Equations. Write expressions in equivalent forms to solve problems. A.SSE.3: Algebra – Seeing Structure in Expressions Choose.

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Presentation on theme: "Unit 4: Expressions and Equations. Write expressions in equivalent forms to solve problems. A.SSE.3: Algebra – Seeing Structure in Expressions Choose."— Presentation transcript:

1 Unit 4: Expressions and Equations

2 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.

3 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

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

5 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?

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

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

9 Factor:1)x 2 – 2x – 3

10 Factor:2)x 2 – 6x + 9

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

12 Solve:1)x 2 – 2x – 3 = 0

13 Solve:2)x 2 – 6x = –9

14 1)y = x 2 – 2x – 3

15 y = x 2 – 2x – 3

16 2)f(x) = x 2 – 6x + 9

17 f(x) = x 2 – 6x + 9

18 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 _________.

19 Teach Me How To Factor Quad Solve!!!


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