Grade 10 class would be split into two groups. Each group would then select a linear function and determine 3 ordered pairs that satisfy their function.
Those ordered pairs would be handed off to Math 31 students who would then use Method of Least Squares and partial differential equations to develop a system of linear equations in two variables for each set of points they received.
These systems of linear equations would then be sent back to the Grade 10 class to the opposing group. The solution to each system would reveal the parameters from the original function of the rival gang. Members would then “guess” the original equation of the other group.
The same “contest” would occur between Grade 11’s and Math 31. This time, however, quadratic functions would be the subject and 4 ordered pairs produced for each group. The systems of equations received back from Math 31 would be quadratic in nature, containing three variables.
Thanks for reading; comments appreciated.
samuelson mathxp 