Chapter: 7
Highlight
One
Topic: Systems of Equations and Inequalities
Date Section
Taught of Book
Mastered
Need Practice/Help
7.1 & 7.2
Mastered
Need Practice/Help
7.1
Learning Target
I can use substitution and elimination to solve systems of linear
equations in two variables. I know I should write my answer as a
2x  y  6
coordinate. Example problem: 
 x  y  0
I can use substitution to solve systems of nonlinear equations in two
variables. I know I should write my answer as a coordinate. Example
 y  x 3  3x 2  1
problem: 
2
 y  x  3x  1
Mastered
Need Practice/Help
7.1 & 7.2
Mastered
Need Practice/Help
7.1 & 7.2
Mastered
Need Practice/Help
7.1 & 7.2
Mastered
Need Practice/Help
7.3
Mastered
Need Practice/Help
7.3
Mastered
Need Practice/Help
7.3
Mastered
Need Practice/Help
7.3
Mastered
Need Practice/Help
7.4
Mastered
Need Practice/Help
7.4
Mastered
Need Practice/Help
7.5
Mastered
Need Practice/Help
7.5
Mastered
Need Practice/Help
7.6
Mastered
Need Practice/Help
7.6
I know how to graph systems (like the two above) on a graphing
calculator. I know how to find the solution to the system using the calc
intersect buttons.
I can take a word problem and write/set-up a system of linear
equations to model the scenario. I can use substitution or elimination
to solve the system and find the solution to the real life problem.
I know how many solutions a system has: no solutions, one solution,
two solutions, infinitely many solutions, etc.
I can use elimination to solve a system of linear equations with three
variables.
I know how to write my coordinate answer for a system that has
infinitely many solutions (using a).
I know how to set up a system of equations for vertical motion
problems. I know how to use elimination to solve the system and write
the position equation with my results.
I can take a word problem and write/set-up a system of linear
equations (with three or more variables) to model the scenario. I can
use elimination to solve the system and find the solution to the real life
problem.
When I am doing partial fraction decomposition, I can recognize when
there are distinct linear factors, repeated linear factors, and repeated
quadratic factors. I know how to find the partial decomposition of
rational expressions with any type of factors.
When I am doing partial fraction decomposition, I know I must use long
division first when the rational expression is improper.
I can sketch the graphs of inequalities in two variables (including lines,
parabolas, circles, etc.). I know when to use solid or dashed lines. I
know where to shade based on the greater or less than signs.
I can use systems of inequalities in two variables to model and solve
real life problems.
I can solve linear programming problems. I know how to graph
constraints and shade to find the feasible region. I know how to find
the coordinates for the vertices – I know that some of these will be
obvious from the graph, but others will require me to use substitution
or elimination. I know how to plug the vertices into my objective
function to find the maximum and/or minimum value.
I can solve linear programming word problems. I can do everything in
the learning target above as well as write the constraint inequalities
and objective function. Page 560 #43