Lesson 29 Straight line graphs

Lesson plan

Piagetian Level    
3 B
Mature
Formal
Extension to simultaneous equations, one a quadratic

Description of lines in terms of intercept and slope e.g. 3 + 2x = y

Analysis in terms of slope = change in y value + change in x value
Pupils relate relative positions to a 4-quadrant coordinate model Producing equations for all shooting lines
3A
Early
Formal
Pupils get most of the relative positions right in their own drawings

Finding the slope of shooting the lines from y = 3 by trial and improvement
Description in terms of different sloped and different distances above x-axis
2B*
Concrete
Generalisation
Representing the problem in graphical terms
2B
Mature
concrete
Middle
concrete
Episode 1
Re-inventing the coordinate system
Episode 2
Patterns in slanting lines
Episode 3
Paths of moving objects

License

Thinking Mathematics Lessons Copyright © by Michael Shayer and Mundher Adhami. All Rights Reserved.

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