Expand the sense of magnitudes of different number types to include integers, rational numbers, and roots. Students play Locate the Point . A number line with end points -5 and 5 is suspended in the classroom, using a long string with tabs to indicate the positions of the integers between the two end numbers. Students are given cards with different types of numbers on them. They take turns and attach their card on the appropriate spot on the number line.
Classmates decide whether the position is correct.
If more than one expression is used for the same number, the cards with those numbers are attached by tape. Pairs of students play Hi-Lo with decimals as a way to emphasize the density of the rational numbers. One student thinks of a number between 0 and 10 with up to 4 decimal places. The other student tries to guess the number, receiving feedback after each guess as to whether the guess was too high or too low. Written records of the guesses and the feedback are kept.