# Array and Area Models

Read the PDF document above and then have a look at some of the interactive models and examples that follow.

This section contains activities and tools that lead from the array model to the area model.

### Interactive Array Models

### Multiplying positive and negative indices with double sided counter arrays

This representation models integers as opposites and multiplication as grouping. See integers for more details of opposites.

### Interactive Area Models

The area model can lead to a better conceptual understanding of the grid method.

Area model multiplying integers - Desmos

The model below represents the area model for multiplication and uses the same colours as Dienes Blocks and Algebra Tiles. This helps students make the connections between number and algebra.

The area model can also be used for fractions. Change the horizonal and vertical dividers using m and n. Drag the orange and green sliders to shade the fractions. Shade the product using the purple slider.

### Interactive Algebraic Area Model

Change a, b, c and x using the sliders above