- equivalent forms of expressions
- operations on expressions
- solving equations that can be simplified to linear or quadratic equations.
[C, CN, ME, R]
| (a) |
Develop, verify, explain, and apply strategies for determining equivalent rational expressions. |
| (b) |
Compare the determining of equivalent rational expressions to determining equivalent rational numbers. |
| (c) |
Verify, with explanation, whether or not a given value is permissible for a given rational expression. |
| (d) |
Develop, explain, and apply strategies for determining the non-permissible values of a rational expression. |
| (e) |
Develop, explain, and apply strategies for simplifying rational expressions. |
| (f) |
Explain why the non-permissible values of a simplified rational expression must be stated as those of the original rational expression. |
| (g) |
Apply understanding of rational expressions to locate and correct errors in the simplification of a rational expression. |
| (h) |
Develop, verify, explain, and apply strategies for adding, subtracting, multiplying, and dividing rational expressions, including the determination of non-permissible values. |
| (i) |
Compare the performing of operations on rational expressions to performing the same operations on rational numbers. |
| (j) |
Develop, explain, and apply strategies for simplifying rational expressions that involve two or more operations on the rational expressions. |
| (k) |
Develop, explain, and apply algebraic strategies for determining the solution, including non-permissible values, of equations involving rational expressions. |
| (l) |
Explain why a value obtained in solving a rational equation may not be a solution of the equation. |
| (m) |
Model and solve situational questions involving rational expressions. |
