| Activity |
Student |
Solution
Key |
Teacher |
Activities
1 to 3 present a sequenced approach to the notion of
equivalence of algebraic expressions.
Activity 1 focuses first on a numerical and then on an
algebraic perspective. |
 |
|
|
| Activity 2
explores the effects of various CAS commands for
determining equivalence of expressions. |
|
|
|
| Activity
3 makes a transition from equivalent expressions to
equations. It
relates the equivalence/non-equivalence of the two
expressions that
form the equation to the solution of the equation. |
|
|
|
| Activity 4
focuses on rationalizing an expression’s denominator. |
|
|
|
| Activity 5
provides an exploration of the sum and difference of
cubes. |
|
|
|
| Activity 6
explores patterns in the factorization of expressions of
the form xn
- 1 for integral values of n,
including the deriving of a general factorization of this
form. |
|
|
|
| Activity 7
deals with the use of factoring to solve equations that
contain expressions with radicals. |
|
|
|
| Activity
8 presents a sequenced approach to systems of linear
equations,
beginning with numerical evaluation and then working
toward giving
meaning to the comparison and substitution methods for
solving systems. |
|
|
|
