How could you use two color or coins to model 3/4x1/2?
To model 3/4 x 1/2 using two colored coins, you can assign one coin to represent 3/4 and the other coin to represent 1/2. Here's how you can do it:
1. Choose two different colors for the coins, for example, red and blue.
2. Take two red coins and two blue coins.
3. Assign the red coins to represent 3/4 and the blue coins to represent 1/2.
4. Divide one of the red coins into two equal parts, representing 1/2 of 3/4. This can be done by physically dividing the coin or mentally considering one part as the intended fraction.
5. Now, you have three red coins representing 3/4 and two blue coins representing 1/2.
6. To model the multiplication (3/4 x 1/2), you can arrange the coins in rows or columns, representing a grid.
┌───────┬───────┬───────┐
│ ¾ │ ¾ │ ¾ │
├───────┼───────┼───────┤
│ ½ │ ½ │ │
└───────┴───────┴───────┘
7. Count the number of cells in the grid that are occupied by coins. In this case, there are three cells, each representing 3/4, and two cells, each representing 1/2.
8. Multiply the number of cells: 3 x 2 = 6.
9. Therefore, the model of 3/4 x 1/2 using two colored coins represents the answer 6/4 or simplified to 3/2.