Strategies: Additional Instruction and Practice
The following activities are suggestions for working with students who need additional instruction and practice. We hope that the activities spark ideas and conversations among teachers about useful classroom strategies that can supplement existing curriculum.

Activity 1

Ask students to find tables and graphs for which they can
determine a variable expression or pattern. They can find these tables and
graphs in newspapers or magazines. Have them share their findings.

Activity 2

Have students use computers and graphing calculators to explore
the characteristics of square root, cubic, absolute value or basic trigonometric
functions. For instance, have students explore the square root functions by
graphing
on
a computer or graphing calculator. Have them explore answers to such questions
as: What is the general shape of this type of equation? How does the graph
change when a number is added to or subtracted from x (
)?
How does the graph change when a number is added to or subtracted from the
square root of x (
)?
How is the graph affected by positive and negative coefficients? What is the
domain of this function? If students explore several families of functions,
they can compare their answers to these questions across functions. For instance,
does multiplying by a negative coefficient affect all types of functions the
same way?
