Objectives Upon completion of this lesson, students will: have practiced plotting functions on the Cartesian coordinate plane be able to read a graph, answering questions about the situation described by the graph be able to look at a graph and decide if it makes sense Standards The activities and discussions in this lesson address the following Standards: Number sense, number operations and number relationships Patterns, relationships and functions Student Prerequisites Arithmetic : Students must be able to: perform integer and fractional arithmetic plot points on the Cartesian coordinate system read the coordiates of a point from a graph Algebraic : Students must be able to: evaluate algebraic expressions in order to plot points Technological Students must be able to: perform basic mouse manipulations such as point, click and drag use a browser such as Netscape for experimenting with the activities use a graphing utility to plot simple algebraic expressions Teacher Preparation Students will need: Access to a browser Copies of supplemental materials for the activities: Impossible Graphs Worksheet Lesson Outline These activities together give a brief lesson that can be completed in as little as 30 minutes class-time, depending on how many teams need to share their ideas.
(fractional arithmetic plot points on the Cartesian coordinate system; read; the coordiates of a point) Context(fractional arithmetic plot points on the Cartesian coordinate system read,List([535, 608))):(students; will have practiced; plotting functions on the Cartesian) Context(students will have practiced fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608))):(students; will have practiced plotting; functions; L:on the Cartesian) Context(students will have practiced fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608))):(students; will have practiced to decide; if it makes sense Standards The activities and discussions in this lesson address the following Standards: Number sense, number operations and number relationships Patterns, relationships and functions Student Prerequisites Arithmetic : Students must be able to: perform integer and fractional arithmetic plot points on the Cartesian) Context(students will have practiced to decide fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608))):(it; makes; sense) Context(students will have practiced to decide it makes fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608))):(Students; must be; able to: perform integer and fractional arithmetic plot points on the Cartesian) Context(students will have practiced fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608))):(students; will have practiced coordinate; plane) Context(students will have practiced coordinate fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608))):(students; will have practiced coordinate plane to read; a graph) Context(students will have practiced fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608))):(answering questions about the situation; be; able to look at a graph and decide if it makes sense Standards The activities and discussions in this lesson address the following Standards: Number sense, number operations and number relationships Patterns, relationships and functions Student Prerequisites Arithmetic : Students must be able to: perform integer and fractional arithmetic plot points on the Cartesian) Context(fractional arithmetic plot points on the Cartesian coordinate system read,List([535, 608))):(Students; must be; able to: evaluate algebraic expressions in order) (a brief lesson; can be completed in; T:as little as 30 minutes class-time) (the situation; described; by the graph) (Lesson Outline These activities; together give; a brief lesson that can be completed in as little as 30 minutes class-time, depending on how many teams need to share their ideas) (Students; to perform; integer and fractional arithmetic plot points; L:on the Cartesian) (simple algebraic expressions; will need; Teacher Preparation Students) (Technological Students; must be; able to: perform basic mouse manipulations such as point) (Students; to evaluate; algebraic expressions; in order) (how many teams; need; to share their ideas) Context(how many teams need,List([1250, 1269))):(how many teams; need to share; their ideas) (Technological Students; to perform; basic mouse manipulations such as point)
fractional arithmetic plot points on the Cartesian coordinate system read,List([535, 608)) students will have practiced fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608)) students will have practiced fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608)) students will have practiced to decide fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608)) students will have practiced to decide it makes fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608)) students will have practiced fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608)) students will have practiced coordinate fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608)) students will have practiced fractional arithmetic plot points on the Cartesian coordinate system read,List([43, 608)) fractional arithmetic plot points on the Cartesian coordinate system read,List([535, 608)) how many teams need,List([1250, 1269))
fractional arithmetic plot points on the Cartesian coordinate system students students students it Students students students answering questions about the situation Students a brief lesson the situation Lesson Outline These activities Students simple algebraic expressions Technological Students Students how many teams how many teams Technological Students
read will have practiced will have practiced plotting will have practiced to decide makes must be will have practiced coordinate will have practiced coordinate plane to read be must be can be completed in described together give to perform will need must be to evaluate need need to share to perform
the coordiates of a point
plotting functions on the Cartesian
functions L:on the Cartesian
if it makes sense Standards The activities and discussions in this lesson address the following Standards: Number sense, number operations and number relationships Patterns, relationships and functions Student Prerequisites Arithmetic : Students must be able to: perform integer and fractional arithmetic plot points on the Cartesian
sense
able to: perform integer and fractional arithmetic plot points on the Cartesian
plane
a graph
able to look at a graph and decide if it makes sense Standards The activities and discussions in this lesson address the following Standards: Number sense, number operations and number relationships Patterns, relationships and functions Student Prerequisites Arithmetic : Students must be able to: perform integer and fractional arithmetic plot points on the Cartesian
able to: evaluate algebraic expressions in order
T:as little as 30 minutes class-time
by the graph
a brief lesson that can be completed in as little as 30 minutes class-time, depending on how many teams need to share their ideas
integer and fractional arithmetic plot points L:on the Cartesian
Teacher Preparation Students
able to: perform basic mouse manipulations such as point
algebraic expressions in order
to share their ideas
their ideas
basic mouse manipulations such as point