Fill a Rectangle With Squares
Written by Adi Ackerman, Head Teacher
"Fill a Rectangle With Squares" is written for 2nd Grade (Ages 7-8), and it covers Common Core 2.G.A.2. If your little one is a year younger but already steady on geometry, the page still works. You may just need to read the instructions out loud. And if they are older and composing rectangles from squares never quite stuck, this is a short review rather than busywork.


2nd grade math worksheet: draw lines between tick marks to split 6 rectangles into rows and columns, then count the squares. Answer key included. Part of our composing rectangles from squares geometry collection. Aligned to Common Core standards.
How do I use this worksheet?
Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Let students work through it independently after a quick group example, checking in with a partner if they get stuck, encouraging them to talk through their thinking: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These composing rectangles from squares worksheets work well as daily practice, homework, or a focused review activity.
What students will practice
- Students will read the rows and columns named over 6 rectangles.
- Students will draw straight lines from tick mark to tick mark to make equal squares.
- Students will count the squares in each rectangle and write the number.
Curriculum Links
Common Core State Standards
Geometry · 2nd Grade
Standard: Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.
View all 2.G.A.2 worksheets →Find this in the curriculum
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FAQ
How do I use this composing rectangles from squares worksheet?
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Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Let students work through it independently after a quick group example, checking in with a partner if they get stuck, encouraging them to talk through their thinking: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These composing rectangles from squares worksheets work well as daily practice, homework, or a focused review activity.
What does this worksheet teach?
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Draw lines between tick marks to split 6 rectangles into rows and columns, then count the squares. A row goes across. A column goes up and down. The directions on the page read: Read the rows and columns over each rectangle. Then, draw straight lines from tick mark to tick mark to make the squares. Then, count the squares and write the number. An answer key is included.
Can I use this composing rectangles from squares worksheet for homeschool or classroom?
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Yes, both. We made it for 2nd Grade geometry, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with composing rectangles from squares. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
How does composing rectangles from squares introduce area?
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By tiling squares inside a rectangle without gaps or overlaps, students intuitively see that area is the number of same-size units that fill a shape.
What CCSS standard does this activity support?
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It supports CCSS 2.G.A.2, which asks students to partition rectangles into rows and columns of same-size squares and count to find the total.
Can students use physical manipulatives alongside these worksheets?
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Yes - using square tiles or grid paper first and then recording on the worksheet reinforces the concept with a concrete-to-representational progression.
What geometry concepts are covered in second grade?
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Second graders recognize and draw shapes with specified attributes (number of sides, angles), identify triangles, quadrilaterals, pentagons, hexagons, and cubes (CCSS 2.G.A.1). They also partition rectangles into rows and columns of same-size squares (2.G.A.2) and partition circles and rectangles into equal shares (halves, thirds, fourths) using appropriate fraction vocabulary (2.G.A.3).
How do you teach second graders to identify 2D shapes?
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Focus on defining attributes (a triangle always has 3 sides and 3 angles) vs. non-defining attributes (color, size). Show examples of shapes in many orientations to prevent students from only recognizing a triangle pointing upward. Worksheets that ask students to count sides and angles, then classify the shape, build attribute-based reasoning rather than visual memorization.
How do second graders connect geometry to fractions?
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CCSS 2.G.A.3 asks students to partition circles and rectangles into halves, thirds, and fourths, a direct bridge to third-grade fraction work. Partitioning a rectangle into equal parts develops the understanding that fractions name equal shares, not just any parts. Worksheets that ask students to shade a fraction of a shape and write the fraction name connect geometry and number concepts explicitly.
What are faces, edges and vertices?
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A face is a flat surface of a solid, an edge is where 2 faces meet and a vertex is a corner where edges meet. A cube has 6 faces, 12 edges and 8 vertices, and a square pyramid has 5 faces, 8 edges and 5 vertices. The faces, edges and vertices pages count them in a table and compare solids by their faces.
Do these 2nd grade geometry worksheets have answer keys?
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Yes. All 30 sheets have an answer key. Drawing pages, such as the cube on dot paper, show sample drawings.
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