Quadrilaterals and Equal Shares Homework

3rd Grade MathGeometry4 pages

About this worksheet

A homework sheet joining quadrilateral classification with equal shares for 3rd grade. Students complete the rule that every quadrilateral has 4 straight sides and 4 angles, match four clue sentences to a word bank of rectangle, square, rhombus, and trapezoid, and draw their own off-category shape. The equal-shares half names unit fractions for a square in 4, a rectangle in 2, and a rectangle in 3, then ends with Maya and 3 friends cutting a square sheet cake into fair 1/4 shares.

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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 Part 1 rule line, the four word-bank riddles, and the drawn quadrilateral that must avoid all three named subcategories.

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.

Part 2 from start to finish, ending with the sheet cake cut into 4 equal parts of 1/4 each for Maya and her 3 friends.

What's inside this worksheet

Part 1: Classifying Quadrilaterals

After a fill-in rule line, four riddle clues get matched to the word bank: 4 right angles and 4 equal sides points to square, equal sides with no right angles required points to rhombus, and exactly one pair of parallel sides points to trapezoid. A drawing box and explanation line follow.

Part 2: Equal Shares & Unit Fractions

Three pictured shapes need unit fractions (1/4, 1/2, 1/3), students draw lines to cut a rectangle into 4 parts and a square into 2, and the cake problem asks three chained questions: how many sharers, how many cuts' worth of parts, and what fraction each friend gets.

How teachers use it

Homework after day one

Send it home the evening after your first quadrilaterals lesson. The two reminder callouts restate the definitions, so parents have the reference the dinner-table argument needs.

Riddle warm-up reuse

Read the four Part 1 clues aloud the next morning as a re-entry quiz before collecting the sheets. Clue d, exactly one pair of parallel sides, catches the most students.

Common-error watch

On the cake problem, watch for the answer 3. Students who count only the invited friends forget Maya, and the sheet's first bullet asks for total sharers on purpose.

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