What fraction concepts do first graders learn?

First graders learn to partition circles and rectangles into two equal shares (halves) and four equal shares (fourths or quarters), and describe the shares using the words halves, fourths, and quarters (CCSS 1.G.A.3). They should understand that equal shares of identical wholes need not have the same shape. For example, a rectangle can be split into two equal halves either horizontally or vertically, and both are correct. The emphasis is on understanding equal parts rather than fraction notation like 1/2 or 1/4. Worksheets that ask students to draw lines dividing shapes into equal parts, color half or one quarter of a shape, and identify whether a shape shows equal or unequal parts build this foundational understanding.

How do you teach halves and fourths to first graders?

Start with real objects: fold a piece of paper in half and show two equal parts. Cut a sandwich into four equal pieces and name them quarters. Let children physically partition materials before moving to worksheets. Use both circles and rectangles so students see that different shapes can be divided into equal parts. Ask students to compare: "If we each get half, do we get the same amount?" Worksheets that show shapes divided into parts and ask "Are these equal shares?" build critical thinking. Progress to worksheets where children draw the dividing lines themselves. Always emphasize the word "equal" because children often think any two parts constitute halves, even when the parts are different sizes.

Why do first graders learn about fractions before they learn fraction notation?

Fraction notation (1/2, 3/4) is abstract and can be confusing without a strong conceptual foundation. First graders build that foundation by physically partitioning shapes and using everyday language: half, quarter, fourth. This hands-on experience helps children understand what fractions mean before they encounter the symbolic representation in third grade. Research shows that students who skip the conceptual stage and jump to fraction notation often develop misconceptions, like believing 1/4 is greater than 1/2 because 4 is greater than 2. Worksheets that focus on equal partitioning, coloring fractional parts, and comparing shares give first graders the concrete experience that makes later fraction arithmetic meaningful and accessible.

1st Grade · Math · 1.OA.B.4, 1.G.A.3

Fractions Lesson Plan for 1st Grade

A ready-to-teach fractions lesson for 1st Grade, built around equal parts, halves, fourths, partitioning shapes into equal shares. Print the plan, print the practice pages, and you are set.

Approximately 45 minutes

Learning objective

Identify whether a shape is divided into equal or unequal parts
Recognize equal-sized sections in circles, squares, and rectangles
Explain why parts must be equal to represent a fraction

Materials

Dividing Shapes into Equal Parts - Sushi
Coloring parts of a group to match a fraction - Raccoon
Coloring shapes to make fractions - Bee
Identifying equal parts
Writing fractions
Dividing shapes into equal parts
Pencils, and whiteboard space for the modeled examples

Lesson steps

1. Warm up together (5 min)
Start concrete: fold a strip of paper, share something unequally, and ask whether it was fair. fractions lands far better after a fairness argument than after a definition.
2. Model it (I do) (10 min)
Draw fractions before you write it. Show the same quantity as a picture and as notation side by side, and name which one students should reach for when stuck.
3. Practice together (we do) (10 min)
Work three more problems as a class. Ask a different student to supply each step rather than the whole answer. If a step stalls, drop back to concrete objects or a drawing before moving on.
4. Independent practice (you do) (15 min)
Hand out "Dividing Shapes into Equal Parts - Sushi". Students work independently while you circulate. Note who is fluent, who is counting on fingers, and who has not started, because that grouping drives tomorrow's small group.
5. Close the loop (5 min)
Pull the class back. Ask one student to explain a problem they got right and one to name something that is still confusing. End on the confusion, not the success, so students learn that naming a gap is normal.

Check for understanding

Collect the practice pages and sort them into three piles: fluent, developing, and not yet. Any student in the third pile needs fractions retaught in a small group before the class moves on.

Differentiation

Extra support. Students who stall: pull them into a small group and rebuild fractions with concrete materials or a simpler text before asking for the written work again. Do not send the page home as homework, it will just rehearse the misunderstanding.

Extension. Students who finish early: ask them to write their own fractions problem for a partner to solve, then check the partner's work. Creating a problem is harder than solving one and it surfaces whether they really understand fractions.

Skills covered in this lesson

Identifying equal parts · Dividing shapes into equal parts · Parts of a whole · Fractions in words · Coloring shapes to make fractions · Writing fractions · Fractions of a group or set · Write the fraction from the story · Fractions · Fractions of a set · Proper fractions

Practice pages for this lesson

6 items, 6 printable pages that match the independent-practice step.

Questions teachers ask about teaching fractions

What fraction concepts do first graders learn?: First graders learn to partition circles and rectangles into two equal shares (halves) and four equal shares (fourths or quarters), and describe the shares using the words halves, fourths, and quarters (CCSS 1.G.A.3). They should understand that equal shares of identical wholes need not have the same shape. For example, a rectangle can be split into two equal halves either horizontally or vertically, and both are correct. The emphasis is on understanding equal parts rather than fraction notation like 1/2 or 1/4. Worksheets that ask students to draw lines dividing shapes into equal parts, color half or one quarter of a shape, and identify whether a shape shows equal or unequal parts build this foundational understanding.
How do you teach halves and fourths to first graders?: Start with real objects: fold a piece of paper in half and show two equal parts. Cut a sandwich into four equal pieces and name them quarters. Let children physically partition materials before moving to worksheets. Use both circles and rectangles so students see that different shapes can be divided into equal parts. Ask students to compare: "If we each get half, do we get the same amount?" Worksheets that show shapes divided into parts and ask "Are these equal shares?" build critical thinking. Progress to worksheets where children draw the dividing lines themselves. Always emphasize the word "equal" because children often think any two parts constitute halves, even when the parts are different sizes.
Why do first graders learn about fractions before they learn fraction notation?: Fraction notation (1/2, 3/4) is abstract and can be confusing without a strong conceptual foundation. First graders build that foundation by physically partitioning shapes and using everyday language: half, quarter, fourth. This hands-on experience helps children understand what fractions mean before they encounter the symbolic representation in third grade. Research shows that students who skip the conceptual stage and jump to fraction notation often develop misconceptions, like believing 1/4 is greater than 1/2 because 4 is greater than 2. Worksheets that focus on equal partitioning, coloring fractional parts, and comparing shares give first graders the concrete experience that makes later fraction arithmetic meaningful and accessible.

More math lesson plans for 1st Grade

Looking for printables rather than a plan? Browse all fractions worksheets for 1st Grade.