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Expression Tiles Lab

Variables become objects

Change x-tiles and unit tiles to see coefficients and constants as objects.

What this game shows · Expression as Tiles

Variables become physical when you can drag them. The expression tile lab uses long x-tiles for variables and small unit tiles for constants — so 3x + 5 is literally three rectangles plus five squares.

x-tile
a rectangle that stands for one unknown.
Unit tile
a small square that stands for the number 1.
Like terms
tiles of the same shape — only those can be combined.

Aligned with CCSS 6.EE.A.2 (write, read, and evaluate expressions with letters).

Expression tiles

Coefficients count variable tiles; constants count unit tiles.

3x + 5
xxx
11111
x tiles
3
unit tiles
5
FAQ

Expression tiles, visualized.

01 What does the coefficient mean? Coefficient = count

The number of x-tiles. 3x is three x-tiles laid side by side. The coefficient is just the count.

02 Why can't you combine 3x and 5? Unlike shapes

Because they are different shapes. 3 rectangles and 5 squares can't merge into one shape — that's why "unlike terms" stay separate.

03 How does this connect to solving equations? Pre-balance

When you isolate x, you remove unit tiles from both sides until only x-tiles remain on one side. The Equation Balance Lab game shows that follow-up.

04 Which grade is this game for? Grade 6

Grade 6, aligned with CCSS 6.EE.A.2. Direct ramp to writing and simplifying expressions in Grades 7–8.

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