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North East School Division
Unpacking Outcomes
Unpacking the Outcome
Solveproblems that involve systems of linear equations
graphically
algebraically
Outcome (circle the verb and underline the qualifiers)
FP10.10 Solve problems that involve systems of linear equations in two variables, graphically, and algebraically.
KNOW
Vocabulary:
- Linear equation
- Variables
- Graphically, algebraically
- Intersecting point
- Verifying solutions
- Numerical coefficient
- Horizontal / vertical
- Parallel, intersecting lines
How to sketch a graph on x-y axis
(coordinate plane)
- Ordered pairs (x,y)
- Graphing with and without technology
- Manipulate, using algebra, a linear
equation that solves for a variable
UNDERSTAND
1. That a system of linear equations
can be solved by a variety of
methods.
2. That the ordered pair of the
intersecting point is the solution of
the two linear equations.
3. That linear systems are able to be
multiplied or divided by a non-zero
number.
4. That equivalent systems of
equations can be obtain by adding
or subtracting a given set of linear
equations.
5. That two linear equations may have
one solution, infinite solutions, or no
solutions.
BE ABLE TO DO
1) Create and solve a linear system to
model a situation.
2) Verify the solution of a linear system.
3) Develop, explain and apply strategies
for solving systems graphically.
4) Solve linear equation by elimination
method (multiply or divide linear
equations by non-zero number to
produce an equivalent numerical
coefficient, and add or subtract the
linear equations to reduce variables).
5) Solve linear equations by substitution
method (solve for one variable and
substitute that variable into the other
linear equation).
6) Solve linear equations by selecting the
strategy of their choice.
7) Match graphs to linear equations.
ESSENTIAL QUESTIONS
1. How do linear equations relate to a situation?
2. Which strategy works best for you in solving systems of linear equations?
3. Why is one strategy to solve a system of linear equations more suited for a certain situation than another?
4. What does a problem involving a system of linear equations look like?
5. What factors determine the number of solutions for a system of linear equations.