Focus Plan: Function Conjunction

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Focus Plan Function Conjunction

• PowerPoint Presentation
• Focus Activity and Instruction

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They sayA 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/worl
d/iraq/2003-07-06-photo-boy_x.htm
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This?

• April 16, 2007A 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/photoessa
ys
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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
• table model graph
• diagram equation inequality
• description mapping

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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,
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9th Grade 9 TAKS
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Which Inequality best describes the graph below?
A y gt -¾ x 5 B y lt -4/3 x 5 C y lt - ¾
x 5 D y gt -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
2x2 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 -2x2 5x?
Grade 10 TAKS
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Which quadratic equation best represents the
parabola shown below?
A y x2 x 5 B y x2 5 C y -x2
5 D y -x2 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),
x y
-1 -4
0 -1
3 8
5 14

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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