Running head: MATH ACTIVITY 0MATH ACTIVITYName of StudentInstitution Affiliation
MATH ACTIVITY 2Module 4[Relation and Functions]Title: Teaching functions with Dynagraphs to students.TaskThe fundamental concepts in mathematics are the functions.it is a repeated exploration that students encounter on their daily basis when dealing with mathematics.In the grades that was developed earlier students were given list of outputs and inputs as functions in activities in the classroom.Guess my rule was one the activity that was given to students in this grades[ CITATION JMC10 \l 1033 ]. Construction of a single rule was to be done by the students that aids in the transformation of the value to inputs that corresponds to the values at the output as shown below.In the activities that subsequently used by the students,a consideration that was made such that a function as machine where the input for a given output is provided as shown in the figure below.In middle grades functions like plotting of the pairs on coordinate planes and evaluation is done on specific x values as shown in the figure below.
MATH ACTIVITY 3With the two representations above, there is no proper layout on the nature of the function dynamically.but instead this representation has given the static and discrete nature of the output and the input.DynagraphsThe figure below shows the representation of the dynagraphs that can be used in stead of the representation that previously mentioned.The values of the input of the unknown function are represented by the point at the bottom line. For a given input,the corresponding values of the output representation is done by the upper point. When dragging is done to the bottom point,conjecture are made by the students with regards to the input-output relationship[ CITATION Joh08 \l 1033 ] . For example, with the graph above the following relationships were obtained.
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