Students use both red and white counters. But they should put them on the same board until they start learning about negative numbers. Preferably, students work in pairs. Each student has one board and 6 counters, and each student is told which color to use. There is no limit for stacking counters on one square, so six tokens on the square 6 represents the number 36. The teacher should decide the range of numbers that are being studied, but it should be at least one through 20. 1. Names of Numbers Students need to learn to use correct names for the numbers they represent on the board. Seven Thirteen 2. First Arithmetic Activity Students are asked to add several small numbers, each number represented by just one counter, in the order in which they are given. All students using white counters are adding 2 + 3 + 1 + 1 + 2. And students using red counters add 1 + 2 + 3 + 3 + 2. After they finish, they compare the red and white numbers to answer two questions: Are the numbers equal? And if not, which number is bigger? and: What is their difference?
Regrouping
So, 2 + 3 + 1 + 1 + 2 = 9.
Regrouping
So, 1 + 2 + 3 + 3 + 2 = 11. The numbers are not equal because 9 ≠ 11. 11 > 9. The difference is 11 - 9 = 2. 3. Second Arithmetic Activity Students are adding lists of one-digit numbers as in activity one. This activity needs to be repeated (with different lists) until all students achieve a desired degree of proficiency. Add 7 + 5
Regrouping
So, 7 + 5 = 12. Add 3 + 4 + 5
Regrouping
So, 3 + 4 + 5 = 12. Therefore, 7 + 5 = 3 + 4 + 5 = 12 which shows that changing the order of numbers does not alter their sum. Number Board index |