Quadratic Inequalities. “Belong” Game Students number off 1-4. Look at the group of 4 things. Evaluate items to decide if your number “belongs”. Write.

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Presentation transcript:

Quadratic Inequalities

“Belong” Game Students number off 1-4. Look at the group of 4 things. Evaluate items to decide if your number “belongs”. Write Yes or No because _____________ to justify your choice (independently). Discuss with small group. Share with whole class.

Does it belong? Group A

Thoughts ? Not blue Not start with letter “b” Living vs. Non-living

Does it belong? Group B

Thoughts ? Equation Linear, not Quadratic Had a Greatest Common Factor

Does it belong? Group C

Thoughts ?

Inequalities SymbolWordsLineCircle > greater than Dashed Open < less than Dashed Open > greater than or equal Solid Closed < less than or equalSolidClosed

Solving Inequalities Notes Step #1: Find Vertex Step #2: Find which way parabola opens Step #3: Find y-intercept (and symmetrical point) Step #4: Sketch the parabola (solid or dashed?) Step #5: Shade above or below the parabola. at “A” at “C”

~Try It~ Step #1: Find Vertex Step #2: Find Direction Step #3: Find y-intercept Step #4: Sketch Step #5: Shade Opens Down Y-intercept = 3 Symmetrical? Greater=Above

~Try It~ Step #1: Find Vertex Step #2: Find Direction Step #3: Find y-intercept Step #4: Sketch Step #5: Shade Opens Up Y-intercept = 8 Symmetrical? Greater=Above

~Try It~ Step #1: Find Vertex Step #2: Find Direction Step #3: Find y-intercept Step #4: Sketch Step #5: Shade Opens UP Y-intercept = -8 Symmetrical? Less = Above

~Try It~ Step #1: Find Vertex Step #2: Find Direction Step #3: Find y-intercept Step #4: Sketch Step #5: Shade Opens UP Y-intercept = 6 Symmetrical? Greater = Above