Schedule first lesson

Free simulation · MYP 4–5

Arithmetic Series Rectangles

Turn an arithmetic sequence into blocks, build a rectangle, and find a rule for the sum.

By Shannon Mellon · Last updated 3 November 2026

How to use it

  1. Type the first four terms of an arithmetic sequence to make the blocks.
  2. Drag the blocks (or tap a block, then tap where it goes) to build a rectangle.
  3. Record the rectangle’s length, width and area in the table.
  4. Look for a rule for the sum, then test it with an odd number of terms.

Students type the first terms of an arithmetic sequence and each term becomes a block of unit squares. They fit the blocks together into a rectangle without breaking any, record its length, width and area, and use their results to build a rule for the sum. Then they test their rule with an odd number of terms.

Who it’s for

MYP years 4–5 (ages 14–16), especially extended mathematics. Also a visual way into sequences and series at the start of the DP.

Branch of mathematics: numerical and abstract reasoning. Topics: sequences and series, arithmetic sequences, arithmetic series, patterns.

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