All the Ways to Make ... 222
After children learn Build the Numbers! dhey are ready for this activity, which is more complex. Children find all the ways to make 222 using place-value blocks or all the ways to make $2.22 using coins. The number 222 (or 333, 444, etc.) is a good number to use because the same numeral is in each place value—children must have a real understanding of the difference be¬tween two units, two tens, and two hundreds.
Alter the-children construct the number with blocks, the next step is to write equations or phrases illustrating all the possible ways to make or describe 222. This list can be added to throughout the year, emphasizing unique and cre¬ative solutions. Some possible solutions include "half of 444," "111 + 111," "a palindrome," and "more days than we are in school." One class came up with more than 100 different ways to describe 222!
In My Bag!
The teacher or second-grade child places some place-value blocks in a bag and tells the class how many. Children work as partners to figure out which place-value blocks are in the bag. To do so, they ask questions about the blocks' total value that can be answered yes or no. This game can also be played with coins.
For example, Mr. Emilio told his class that he had five coins in his bag. He asked the class to guess what the coins were. Mary Ann asked, "Is your bag more than a dollar?" Mr. Emilio responded, "No!" Willy whispered to his part¬ner, "Well, they can't be all quarters!" Cameron asked, "Is it less than 50 cents?" Mr. Emilio said ves. Questions continued and children discovered with little trouble that Mr. Emilio had five nickels in his bag.
While the children in Oils example aeemed to solve the puzzle easily, chil¬dren often find the game very difficult when first learned. Over time, the teacher should observe that children refine their reasoning strategies by asking questions and listening closelv to the answers.
Scavenger Hunt
At home, children hunt for numbers larger than 100. They record them bv copying them and drawing a picture of where they found them, cutting them out (it possible) and pasting them on note paper, or photographing them. When the children bring the numbers to class, the}' can be classified bv size (tor example, numbers greater than 100 but less than 200, or num¬bers greater than 1,000) or by their use. The discovery of special types of numbers, such as zip codes and phone numbers, leads to discussions of number meaning and the fact that some numbers are used only as locators.
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