Question

draw a model to represent the following problem. 10 ÷ 2

Explanation:

Step1: Understand the division meaning

$10 \div 2$ can mean dividing 10 objects into 2 equal groups or finding how many groups of 2 are in 10. We'll use the "equal - grouping" model.

Step2: Represent 10 objects

We can use circles (or any shape) to represent the 10 objects. Draw 10 small circles: $\circ\circ\circ\circ\circ\circ\circ\circ\circ\circ$

Step3: Divide into 2 groups

Now, divide these 10 circles into 2 equal groups.
Group 1: $\circ\circ\circ\circ\circ$
Group 2: $\circ\circ\circ\circ\circ$
We can also use a rectangular model. Draw a rectangle and divide it into 2 equal parts, and show that the total number of units in the rectangle is 10. If we let the length of each part be $x$, then $2x = 10$, and $x = 5$. So the rectangle can be divided into two smaller rectangles each with a length corresponding to 5 units (where the total length of the big rectangle is 10 units and the width is the same for both small rectangles).

Answer:

One way to model $10\div2$ is by drawing 10 objects (e.g., circles) and dividing them into 2 equal groups of 5. Another way is using a rectangular model divided into 2 equal parts with a total of 10 units, showing each part has 5 units. (A visual representation could be 10 circles split into two groups of 5: $\circ\circ\circ\circ\circ$ and $\circ\circ\circ\circ\circ$)