Square rows & columns

Make the rows and columns

Partition a fixed rectangle into the requested rows and columns of squares.

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6 practice questions · Optional read aloud · Thinking pad

Let’s understand the idea.

  1. Cover the whole rectangle with same-size squares. Their edges meet with no gaps or overlaps.
  2. A row runs across and a column runs down. Every complete row has the same number of squares.
  3. Count every square once. Grouping by rows or by columns changes the counting path, not the total.

Something to notice

Observe physical tiling, independent grid drawing and explanations of why row/column counts agree. These guided partitions check the requested rows, columns and total, while keeping the original rectangle fixed. A different partition can be geometrically possible but does not satisfy a request for specified row/column counts. Formal multiplication and area units are not required here. Software checks and mappings do not establish mastery or replace educator/learner review.

Try it. Change it. Explain it.

Open the lesson to use its pictures and controls. In How it works, connect the picture to the idea. In Play & discover, change the quantities and notice what stays the same. In Your turn, answer questions and use the explanation to check your reasoning.

You can ask for help, draw on the thinking pad, or listen to the question and answer options. Progress distinguishes independent work from work completed with help.

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Curriculum connection

Grade 2 · 2.G · US Common Core

2.G.A.2

This lesson is mapped to these standards. A completed activity is practice evidence, not a claim of mastery. Content is checked against the linked official standards and its mathematical models are tested.

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