Using 12 sticks describe how the teacher would demonstrate to learners that 1/4 of 12 is 3?

The teacher would start by laying out all 12 sticks in a row to represent the whole. Then, the teacher would group the sticks into 4 equal parts, each containing 3 sticks. The teacher would then explain to the learners that each group represents 1/4 of the whole, and since there are 3 sticks in each group, 1/4 of 12 is equal to 3.

Step 1: Create Equal Groups

- Arrange the 12 sticks into 4 equal groups.

Step 2: Label the Groups

- Label each group "1/4" to represent one-fourth of the total sticks.

Step 3: Count the Sticks in One Group

- Count the number of sticks in one of the "1/4" groups.

Step 4: Repeat for Other Groups

- Confirm that the number of sticks in all four "1/4" groups is the same.

Step 5: Show Equivalence

- Explain that since each "1/4" group has the same number of sticks, they are all equivalent.

Step 6: Count the Sticks in Equivalent Groups

- Count the sticks in any three of the "1/4" groups.

Step 7: Conclusion

- Show that the total number of sticks counted in three "1/4" groups is 9, which is the same as 1/4 of the total number of sticks (9/12 = 3/4).

Therefore, the teacher demonstrates that 1/4 of 12 is 3 because the equivalent groups of sticks show that one-fourth of the total is the same as three sticks.