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High School — Mathematics
Number, Number Sense and Operations


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    Number, Number Sense and Operations


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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

      When learning about proportions, it is helpful for students to use concrete models. Have students compare a photograph with an enlargement. After determining the ratio of the original to the enlargement, have students determine the lengths of objects in the enlargement based on the length of the same object in the original.

      Activity 2

      In order to increase students' understanding of irrational numbers, have them create right triangles with integer lengths for the legs. Then have them find the length of the hypotenuse by the Pythagorean theorem and use technology to approximate the square root. Finally, have them measure the hypotenuse to see if their estimates were reasonable.

      Activity 3

      Have students search the Internet to find numbers that would require the use of scientific notation. If the number isn't in scientific notation, have students express it in scientific notation. If it already is in scientific notation, have students convert it to expanded form.

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