Algebra Tiles and Graphs

y=mx variable m and x

y=mx

y = x + c

y=mx+c

y=x2

y=x2 – 4

y = x2 +2x +1

y = x2 + x -6 (x+3)(x-2)

y=ax a variable

y=mx variable m and x

Move the slider across the axis to change the value of x. The green x bars will change position and size with the slider. y = mx is also plotted on the axis with points on each integer value.

The x bar is red for negative values of x.

Students should be familiar with integers, base blocks and algebra tiles.

y=mx

This representation shows x as a bar for -3<x<3. This highlights the gradient.

Change the gradient using the slider.

Students should be familiar with integers, base blocks and algebra tiles.

y = x + c

https://www.desmos.com/calculator/d4rwihysec

This version of the graph introduces c as a constant term. Changing x allows students to see the difference between a variable and a constant.

y=mx+c

Change the gradient and y intercept using the sliders.

This representation allows you to compare the bars, line and table of values.

Students should be familiar with integers, base blocks and algebra tiles.