The central problem of this unit concerns a decision a city must make about land use. This problem can be expressed using a system of linear equations and inequalities. To solve this complex problem students will practice linear programming and solving systems of equations in more than 2 variables. Along the way students learn graphing equations in 3 variables, solve linear equations in 3 variables and study the possible intersection of planes in space. Students are also introduced to Matrix operations and the use of matrices to solve multi variable systems of equations. Ultimately using the graphing calculator to manipulate matrices will lead to a solution to the unit problem.
Unit 1 Orchard Hideout
you ever stared into an orchard as you passed it on the road? From one
perspective, you see that the trees are planted in straight rows. But as you
move to a different spot, all you see is a mass of trees.
main characters of this unit, Madie and Clyde, have planted an orchard. They
want to know how long it will take before they can no longer see from the
center of the orchard to the outside world.
begin this unit with a look at their overall problem, and then you’ll examine
some simpler cases.