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Identify Unit Fractions from Partitioned Shapes

Students will identify a unit fraction (1/b) as the quantity representing 1 part of a whole that has been partitioned into b equal parts. They will connect the visual representation of one shaded part to its fraction notation and understand that the denominator tells how many equal parts the whole is divided into.

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Identify Unit Fractions from Partitioned Shapes

Grade 3 · Understanding Unit Fractions · question 1 of 3

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12 rungs. A star at the top.

Write the shaded part as a fraction.

Look at the equal parts.

Your answer:

How it is taught

0:00 of 3:06

A unit fraction is one equal piece of a whole.

Fewer pieces means each piece is larger.

Read it: One part, then the shaded parts

A rectangle is cut into 6 equal parts. Each part is 1/6. 2 parts are shaded, so 2/6 is shaded.

  1. Count all the equal parts, shaded or not: 6.
  2. Name one part: 1/6.
  3. Count the shaded parts: 2, so 2/6.

The bottom number counts every equal part of the whole.

The top number counts the parts you are naming.

2 parts of 1/6 make 2/6.

The bottom number counts all the equal parts. The top number counts the shaded ones.

Counting only the parts that are not shaded, and writing 2/4.

Count every part, shaded or not. There are 6, so the bottom number is 6.

A pizza is cut into 3 equal parts. What fraction of the pizza is one part? — 1/3. 3 equal parts, so one part is 1/3 of the whole.

1/4 — one equal part out of four

Today we'll learn about unit fractions. Imagine a chocolate bar shared fairly between four friends.

We split the whole bar into four equal parts — one piece for each friend.

Let's count them together: one, two, three, four equal parts.

Now color in just one part — that's your piece of the bar.

How many equal parts is the whole bar split into?

Four! We write four on the bottom. The bottom number is called the denominator.

What is a unit fraction?A chocolate bar for 4 friends1234How many equal parts in all?How many parts are shaded?4denominator1numeratorone-fourthTop is 1 → unit fractionUNIT FRACTION141 of 4 equal parts
Grade 3 · One shaded part of an equally-divided whole

And how many of those parts did we shade?

Just one. We write one on top. The top number is called the numerator.

We read this fraction as one-fourth — one out of four equal parts.

When the top number is exactly one, we call it a unit fraction. It names one single equal part.

So one-fourth is a unit fraction: one equal part out of four. Nice work!

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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