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Focus Plan: Function Conjunction PowerPoint Presentation Focus Activity and Instruction
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They say… A picture is worth a thousand words Is it? Which means more?
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USA Today reports: A heavy battle took place between the U.S. Army's 7th Cavalry Regiment and Iraqi forces on March 25, 2003 near the village of Al Faysaliyah, Iraq. A number of civilians, including children, were injured. Or this…
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Retrieved from: http://www.usatoday.com/news/world/iraq/2003-07-06- photo-boy_x.htm
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This? April 16, 2007 A gunman kills 32 people in a dorm and a classroom building at Virginia Tech in Blacksburg, Va. The suspect then dies by gunshot himself.
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Or This? Retrieved from http://www.time.com/time/photoessays
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In Math, as in life Pictures often mean more than words
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The following slides will give you information about the number of high school dropouts there were in the U.S. between 1995 and 2001
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TABLE
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Bar Graph
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Which representation of the data was easier to interpret? The Table? Or the Graph?
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Classroom Instruction TAKS Objective 2: The student will demonstrate an understanding of the properties and attributes of functions. TEK A. 1 (D) Represent relationships among quantities using concrete models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities
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Graph: A picture which represents a relationship (usually functional) For most people, a graph or diagram is easier to comprehend than a chart with words & numbers
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In math We must be able to represent relationships in many ways
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Today we will study – representing math relationships Meaning… Can you take a functional relationship and represent it with a: tablemodelgraph diagramequationinequality descriptionmapping
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Lets Practice With some TAKS questions
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The function f(x) = {(1, 2), (2, 4), (3, 6), (4, 8)} Can be represented in several other ways. Which is NOT a correct representation of the function f(x)? H x is a natural number less than 5 and y is twice x J y = 2x and the domain is {1, 2, 3, 4} 9 th Grade 9 TAKS
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Which Inequality best describes the graph below? A y > -¾ x + 5 B y < -4/3 x + 5 C y < - ¾ x + 5 D y > -4/3 x + 5 Grade 9 TAKS
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Which inequality best describes the graph shown below? F y ≥ -2x G y ≥ -x – 2 H y ≥ -2x – 2 J y ≥ x – 2 Grade 10 TAKS
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Which mapping best represents the function y = 2x 2 + 1 when the replacement set for x is {-1, 0, 3}? Grade 10 TAKS
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Which data set is best described by the function y = -2x 2 + 5x? Grade 10 TAKS
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Which quadratic equation best represents the parabola shown below? A y = x 2 + x + 5 B y = x 2 + 5 C y = -x 2 + 5 D y = -x 2 + x + 5 Exit Level TAKS
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Represent the following LIST of ordered pairs as a Table: {(-1, -4), (0, -1), (3, 8), (5, 14), …} xy -4 0 38 514 ……
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Represent the following LIST of ordered pairs as a Mapping: {(-1, -4), (0, -1), (3, 8), (5, 14)}
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Represent the following LIST of ordered pairs as a Verbal Description: {(-1, -4), (0, -1), (3, 8), (5, 14)…} The y-values for a set of points are 1 less than 3 times the corresponding x-values
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Represent the following LIST of ordered pairs as an Equation: {(-1, -4), (0, -1), (3, 8), (5, 14)…} y = 3x - 1
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Represent the following LIST of ordered pairs in Functional Notation: {(-1, -4), (0, -1), (3, 8), (5, 14)…} f(x) = 3x - 1
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Represent the following LIST of ordered pairs as a graph: {(-1, -4), (0, -1), (3, 8), (5, 14)…}
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You must know how -- To represent functions in many ways and To determine whether two different representations of a function are equivalent
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