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Graph

    6                      2
          5            1

                 1
Formula                    Table
                 3


              7. Context
1. Table → Graph
x   -3   -1    1     3    4
y   -2   2     6     10   12




              Activities:
              1.Determine the axes
              2.Plot the points
              3.Choose graph type;
                connect when not
                discrete
2. Graph → Table
              Activities:
              1.Read off points
              2.Determine dependent
                variable
              3.Make table



x   -3   -1     1    3     4
y   -2   2      6    10    12
3. Formula → Table
                             Activities:
                             1.Determine ‘in’ and ‘out’
                             2.Fill in x-values for the
                               formula to calculate y
                             3.Make table

x        -3         -1         1          3          4
y        -2         2          6          10         12


NOTE: this also holds for, for example, solving equations, as
students can numerically ‘solve’ them with tables.
4. Table → Formula
x   -3    -1   1    3      4
y   -2    2    6    10     12



                   Activities:
5. Formula → Graph


        Activities:




              NOTE: Often, students will first go
              from a formula to a graph, via a table,
              which is OK. In this case, the linearity
              (only needing two points) comes into
              play as well.
6. Graph → Formula
       Activities:




                     NOTE: This also is applicable
                     when finding intersections of
                     two graphs (make equation
                     and solve). Furthermore,
                     recognizing the ‘form’ of
                     functions is handy.
What do the numbers denote?
What are the variables?
What units?
Are the results realistic?




        Context
Graph

    6                      2
          5            1

                 1
Formula                    Table
                 3


              7. Context

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Slides algebra concept_031012

  • 1. Graph 6 2 5 1 1 Formula Table 3 7. Context
  • 2. 1. Table → Graph x -3 -1 1 3 4 y -2 2 6 10 12 Activities: 1.Determine the axes 2.Plot the points 3.Choose graph type; connect when not discrete
  • 3. 2. Graph → Table Activities: 1.Read off points 2.Determine dependent variable 3.Make table x -3 -1 1 3 4 y -2 2 6 10 12
  • 4. 3. Formula → Table Activities: 1.Determine ‘in’ and ‘out’ 2.Fill in x-values for the formula to calculate y 3.Make table x -3 -1 1 3 4 y -2 2 6 10 12 NOTE: this also holds for, for example, solving equations, as students can numerically ‘solve’ them with tables.
  • 5. 4. Table → Formula x -3 -1 1 3 4 y -2 2 6 10 12 Activities:
  • 6. 5. Formula → Graph Activities: NOTE: Often, students will first go from a formula to a graph, via a table, which is OK. In this case, the linearity (only needing two points) comes into play as well.
  • 7. 6. Graph → Formula Activities: NOTE: This also is applicable when finding intersections of two graphs (make equation and solve). Furthermore, recognizing the ‘form’ of functions is handy.
  • 8. What do the numbers denote? What are the variables? What units? Are the results realistic? Context
  • 9. Graph 6 2 5 1 1 Formula Table 3 7. Context