Rhombuses, Rectangles and Squares

3rd Grade MathGeometry4 pages

About this worksheet

A geometry workshop for 3rd grade joining the two Common Core geometry standards on one sheet. Students name a rectangle, rhombus, and square from drawn shapes and check attribute boxes for equal sides and right angles, explain why every square is both a rectangle and a rhombus, and draw a quadrilateral that fits none of those labels. The second half turns to equal areas: naming unit fractions for a circle in 4 slices, a rectangle in 3 stripes, and a square split by a diagonal, then partitioning a blank rectangle into 4 and a hexagon into 6.

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$Rhombuses, Rectangles and Squares: Geometry - page 1$

$Rhombuses, Rectangles and Squares: Geometry - page 2$

$Rhombuses, Rectangles and Squares: Geometry - page 3$

$Rhombuses, Rectangles and Squares: Geometry - page 4$

Curriculum objectives covered

3.G.1

“Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.”

The attribute checkboxes for shapes A to C, the why-is-a-square-both question, and the draw-your-own quadrilateral in question 3.

3.G.2

“Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.”

All of Part 2, from naming 1/4, 1/3, and 1/2 for the given shapes to the hexagon partition whose six center-to-vertex triangles each equal 1/6.

What's inside this worksheet

Part 1: Exploring Quadrilaterals

Shapes A, B, and C (rectangle, rhombus, square) each carry a name line and two checkboxes, 4 equal sides and 4 right angles. Question 2 asks in writing why a square earns both checks, and question 3 asks for a drawn counterexample such as a trapezoid.

Part 2: Partitioning Shapes & Unit Fractions

Three partitioned shapes (a circle in 4 dotted slices, a rectangle in 3 stripes, a square halved by a diagonal) need their unit fractions named. Students then draw their own lines to cut a blank rectangle into 4 equal parts and a hexagon into 6.

How teachers use it

Combined lesson

Teach both halves in one session: attributes before lunch, partitioning after. The sheet's own order works because the square-diagonal picture in Part 2 reuses Part 1 shapes.

Justification focus

Collect question 2 answers and read a few aloud anonymously. The key's version, right angles make it a rectangle and equal sides make it a rhombus, sets the bar for precision.

Hexagon stretch

Question 5B is the hardest draw on the page. Suggest starting from the center point only after students have tried; the key expects six triangles fanned from it.

More 3rd Grade Math worksheets

Multiplication and Division Fractions Place Value Measurement and Data

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