Students may not know how to get the slope-intercept equation of a line from a slope and point, or from 2 points... but I'll bet they HAVE bought an ice cream cone before!
Tie the math to students' natural intuition through this problem-based investigation. Rather than teach algebraic steps 'in a vacuum' and then force word problems upon them, why not START with an engaging problem that every student has an entry point into, then generalize their intuitive steps to arrive at the classic algebraic method.
-Student Handout with problems posed (colorful, Slope & Point, 2 Points problems)
-Smart Notebook file to steer the lesson, with student participation built in.-Summarized Teacher answer key to use as you teach. (shown in the preview)
-pdf and word format (images)
U.S., Common Core
-> Grade 8, Functions (8.F.B.4)
-> High School Algebra, Creating Equations (HSA.CED.A.2)
Canada, Ontario Curriculum
->Gr.9 Academic MPM1D, Analytic Geometry (equation of a line from slope and a point, or two points, connecting rate of change across different representations, describing the meaning of slope and y-intercept arising from a realistic situation.)
->Gr.10 Applied MFM2P, Modelling Linear Relations (determine the equation of a line, given the slope and a point on the line, or two points on the line)