- 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. |