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High School — Mathematics
Patterns, Relations and Algebra


Core Resources

    Patterns, Functions, and Algebra


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      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?

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