Math Core

Lesson 5.1 · Measurement

Inches, feet and yards

Paper clips and cubes come in different sizes. So people agreed on units that are always the same: inches, feet and yards. A ruler helps you measure with them.

Inches

An inch is a short unit. A paper clip is about 1 inch long. A ruler shows inches with numbers.

To measure, line up one end of the object with the 0 mark. Then read the number at the other end.

0123456

A ruler in inches. The crayon starts at 0 and ends at 4.

The crayon is 4 inches long.

Feet and yards

A foot is 12 inches. A school ruler is 1 foot long.

A yard is 3 feet. A yardstick is 1 yard long. That is about as long as a big step.

Customary units of length

  • 1 foot = 12 inches
  • 1 yard = 3 feet

Use inches for small things, feet for bigger things, and yards for long things.

Worked example: Read the ruler

A key lines up with the 0 mark. Its other end is at the 3 mark. How long is the key?

The key starts at 0 and ends at 3. It is 3 inches long.

Worked example: Pick the unit

Would you measure a soccer field in inches or yards?

A soccer field is very long. Inches are tiny, so you would need a huge number of them. Use yards.

Big units, small units

A desk is 2 feet long. That is the same as 24 inches, because 12 + 12 = 24.

The desk did not change. When the unit is bigger, you need fewer of them.

Worked example: Same length, two units

A rug is 2 yards long. How many feet is that?

Each yard is 3 feet. So 2 yards is 3 + 3 = 6 feet.

Common mistake

Start at 0, not at 1. If you start at 1, your answer will be 1 inch too big.

Practice

Practice 1

A pencil lines up with the 0 mark. Its other end is at the 5 mark. How many inches long is the pencil?

012345678

A ruler in inches

Type a number.

Practice 2

How many inches are in 1 foot?

Type a number.

Practice 3

How many feet are in 1 yard?

Type a number.

Practice 4

Which unit is best for measuring a bug?

Practice 5

A spoon starts at the 2 mark and ends at the 5 mark on a ruler. How many inches long is the spoon?

012345678

The spoon does not start at 0.

Type a number.

Practice 6

Mia measured a table in feet and in inches. Which is true?

Practice 7

A path is 3 yards long. How many feet long is it?

Type a number.