Quilt Club Patches: Measuring with Unit Squares

One square patch with 1-unit sides covers 1 square unit.

Cutting patches

A unit square is a square with sides that are 1 unit long. It covers 1 square unit of area.

Grandpa Leo cuts a square quilt patch. Each side is 1 foot long. How much area does the patch cover?

A. 1 footB. 4 square feetC. 1 square footD. 1 square inch

Jun sews a tiny quilt for a doll. The whole grid is the doll quilt. Each small square is a patch with 1-centimeter sides. One patch is shaded.

The shaded patch covers square centimeter.
The whole doll quilt covers square centimeters.

Is each patch a unit square? Sort the patches.

Rosa cuts a unit square patch with 1-inch sides. Choose the 2 sentences that are true.

A. The patch covers 4 square inches because it has 4 sides.B. Each side of the patch is 1 inch long.C. The patch covers 1 inch of area.D. The patch covers 1 square inch of area.

Sewing quilt blocks

Each small square on the grid is one patch. Each patch is a unit square with 1-inch sides, so it covers 1 square inch. Use the quilt blocks below.

Block A is just one patch. How much area does Block A cover?

Block A covers square inch.

Count the patches in each block. Match each block to its area.

How many patches are in Block E? How much area does Block E cover?

Block E has patches.
Block E covers square inches.

Which block covers 2 more square inches than Block C?

A. Block BB. Block FC. Block DD. Block E

Quilt puzzles

Use what you know about unit squares to solve each puzzle.

Ms. Ito covers a pillow with unit square patches that have 1-inch sides. She sews 4 rows with 5 patches in each row. There are no gaps or overlaps. What is the area of the pillow?

A. 9 square inchesB. 20 inchesC. 18 inchesD. 20 square inches

10.

The quilt club makes a giant floor quilt for the gym. Each small square on the grid is a unit square with 1-foot sides. The shaded part is the floor quilt.How much area does the floor quilt cover?

The floor quilt covers square feet.

11.

Diego has 12 patches. Each patch is a unit square with 1-inch sides. He sews all 12 patches into one rectangle with no gaps or overlaps. Which could be Diego's rectangle?

A. 3 patches long and 5 patches wideB. 4 patches long and 4 patches wideC. 6 patches long and 2 patches wideD. 5 patches long and 2 patches wide

12.

Nadia says that any square patch is a unit square. Is she right? Explain your thinking.