- computations
- solving equations (limited to square roots and one or two radicals).
[C, CN, ME, PS, R, T]
| (a) |
Develop, generalize, explain, and apply strategies for expressing an entire radical (with numerical or variable radicand) as a mixed radical. |
| (b) |
Develop, generalize, explain, and apply strategies for expressing a mixed radical (with numerical or variable radicand) as an entire radical. |
| (c) |
Order a set of real numbers which includes radical expressions with numerical radicands. |
| (d) |
Develop, generalize, explain, and apply strategies for simplifying radical expressions (with numerical and/or variable radicands). |
| (e) |
Develop, generalize, explain, and apply strategies for rationalizing the denominator of rational expressions with monomial or binomial denominators. |
| (f) |
Describe the relationship between rationalizing a binomial denominator of a rational expression and the product of the factors of a difference of squares expression. |
| (g) |
Verify and explain, using examples, that $(-x)^2=x^2$, $√x^2=|x|$, and $√x^2≠ ∓ x$ |
| (h) |
Solve situational questions that involve radical expressions. |
| (i) |
Develop, explain, and apply strategies for determining the values of a variable for which a given radical expression is defined. |
| (j) |
Develop, explain, and apply strategies for determining non-permissible values (restrictions on values) for the variable in a radical equation. |
| (k) |
Develop, explain, and apply algebraic strategies for determining and verifying the roots of a radical equation. |
| (l) |
Explain why some roots determined in solving a radical equation are extraneous. |
| (m) |
Model and solve situational questions that involve radical equations. |
