Hints

There are two versions available for the Sears Tower activity:

• The first version grouped the available numbers within each paragraph. This activity is suitable as a basic number sense activity.

Activity Instructions (Version 2a - Logical Analysis)

1. Distribute copies of Version 2 of the Sears Tower activity to all students.

2. Have students work independently for 30 minutes filling in the blanks with the numbers. Invite students to skip around and fill in numbers they are more sure about and later return to blanks they are less sure about.

3. Describe how some numbers are very unique; these numbers can be filled in and quickly eliminated from the possible list of numbers. Explain that some statements represent equivalencies and they should look for two numbers that meet the equivalency statement. Suggest to the students that they may want to expand the numbers that are represented with scientific notation.

4. Group students in groups of three to compare and discuss their answers. Ask them to verify their answers by showing equivalency statements, where appropriate.

5. When most groups have finished, ask some groups to report their results and procedures for verifying their answers.

• The second version does not specify the numbers by paragraph; students must select a number for each blank from the entire list of numbers. The second version is suitable as a logic analysis activity for which students use inference and deduction to identify the one correct solution.
• The second version could also be used as a scavenger hunt activity for which students can search various Web sites (see Internet resources section) to find appropriate numerical measurements.

Reminder!

This version increases the difficulty of the activity and more time needs to be allotted if using this version. Tip: Students with a good basic understanding of number sense will enjoy and be challenged by this version greatly.

Activity Instructions (Version 2b - Web Scavenger Hunt)

1. Group students (preferably in pairs) and prepare for working on computers with Internet Web access.

2. Distribute copies of Version 2 of the Sears Tower activity to each pair.

3. Instruct the students to use the Related Web Sites to find the numerical facts represented in each of the statements, and then fill in the blanks with the appropriate numbers listed in the column on the right.

4. Ask students to verify their answers by showing equivalency statements, where appropriate.

5. When most groups have finished, ask some groups to report their results.
 Extensions & Variations: Another extension of the activity would be to have students categorize how the numbers in the Sears Tower activity are used. After completing the Sears Tower activity, this extension also assesses students’ understanding of the concepts. Moreover, the students take ownership of the ideas as they sort them out in their mind. Examples of categories they might generate are: years and dates, numbers of an item, rates of speed, etc. Discuss with them how their categories relate to counts, measures, ratios, and equivalencies. There will certainly be overlaps. A longer extension is to have students select a theme and create their own version of the Sears Tower activity with their theme. This could be an additional component of their poster presentation.

Internet Resources: