Meaningful Distributed Practice Planning

Grade Level / Class: high school

Big Idea(s): graphing linear equations; solving linear systems

Day One Day Two Day Three M eaningful D istributed MDP 2 MDP 3 P ractice 1 Find the point of intersection Solve this linear system: Draw the graph of y = 3x + 7 of these 2 lines: -3x + y = 7 5x + 6y = 9 2x + y = 8 3x – 2y = 12 Questions: Questions: Questions:

Describe relationships Describe your method. Describe your method. between the equation and the What other methods could be What other methods could be graph. used? used? Is there always a point of Do all systems of linear intersection for 2 linear equations have a solution? equations? How can you tell How can you tell from the from the equations? equations? How does this solution relate to the graph of the system? Anticipated Student Anticipated Student Anticipated Student Responses: Responses: Responses:

3 is the slope I graphed and found the point I graphed and found the point 7 is the y- intercept of intersection. of intersection. no exponents, so the graph is I solved by substitution I solved by substitution linear I solved using matrices I solved using matrices I solved for y and looked at the I solved for y and looked at the no relationships described slopes. slopes. I can tell by looking at the I can tell by looking at the patterns of the coefficients. patterns of the coefficients.