Mrs. Stohl's Class Learns Linear Equations
and their Slopes and Y-intercepts
Wow, try saying that 3 times really fast ! These wonderful mathematics students have found that knowing mathematics can be personally satisfying and empowering and that the underpinnings of everyday life are increasingly mathematical and technological. They question how the beauty and symmetry of linear equations can be represented using the standard equation form of y = mx + b.
The students are able to use standard form and construct a color-coordinated grid that highlights the symmetrical “X” created by equal positive and negative slopes. First, they select a domain with an eye for easy multiplication, chart their ordered pairs, and plot the points as well as construct and label their lines. Next, they choose various colors to illustrate the similarities and differences in their lines. y = 2x and y = -2x create the desired results on the coordinate grid. The students conclude through a class inquiry session that, “A positive and negative slope of the same number creates a balanced “X.” The slope of the line becomes steeper when the number representing the slope “m” becomes greater.”
They wonder if the patterns that are created in the domain represent similar patterns reflected in the values for y? They predict that the patterns they see in the domain and the values for “y” can allow them to complete the ordered-pair charts without the trouble of further calculation!
As they prepare for their Final Oral Project Presentation on linear equations, they will consult their rubrics and hope to earn Prover (A) status.
As they prepare for their Final Oral Project Presentation on linear equations, they will consult their rubrics and hope to earn Prover (A) status.
