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/nonequivalence 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 x^{n}
 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. 


