Growth Patterns in Tile Figures

The video tutorial by the Math Magician explores growth patterns in figures by analyzing how tiles are added from one figure to the next. It guides viewers through sketching figures, creating a growth table, and developing an equation to model the growth pattern. The equation allows for predicting the number of tiles in any figure, such as the 100th or 1000th figure, without drawing each one.

What is the main objective of the video tutorial?

• To learn about subtraction patterns in figures.

• To develop an equation for growth patterns in figures.

• To understand division in mathematical figures.

• To explore multiplication tables.

What should you observe when looking at the figures?

• The color of the tiles.

• The shape of the tiles.

• The number of tiles being removed.

• The number of new tiles being added.

How many tiles are added from figure to figure?

• Three tiles.

• Four tiles.

• Two tiles.

• Five tiles.

What is the growth pattern identified in the figures?

• Adding one tile on the right.

• Adding two tiles on the left.

• Adding three tiles: one on the left and two on the right.

• Adding four tiles: two on each side.

What does the 'x' represent in the table created?

• The shape of the tiles.

• The color of the tiles.

• The figure number.

• The number of tiles.

What is the correct equation to represent the growth pattern?

• y = x + 3

• y = 3x - 4

• y = 3x + 4

• y = 4x + 3

How many tiles will the 100th figure have according to the equation?

• 304 tiles

• 400 tiles

• 300 tiles

• 404 tiles