Unpacked Content
Knowledge
Students know:
- Algebraic rules for manipulating rational equations.
- Conditions under which a solution is considered extraneous.
Skills
Students are able to:
- Accurately rearrange rational equations to produce a set of values to test against the conditions of the original situation and equation, and determine whether or not the value is a solution.
- Explain with mathematical reasoning from the context (when appropriate) why a particular solution is or is not extraneous.
Understanding
Students understand that:
- Values which arise from solving equations may not satisfy the original equation.
- Values which arise from solving the equations may not exist due to considerations in the context.
Vocabulary
- Rational equations
- Extraneous solutions
