Mathematics · Grade 1

Active learning ideas

Introduction to Fractions: Halves

Active, hands-on learning helps Grade 1 students see and feel fractions in a way that paper-and-pencil tasks cannot. Folding paper, breaking sticks, and dividing shapes turn abstract ideas into concrete experiences that build lasting understanding of equal parts.

• Ontario Curriculum Expectations
• 1.G.A.3

• 20–35 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Experiential Learning
• 30 min · Pairs

Folding Station: Paper Halves

Provide square papers, crayons, and mirrors. Students fold paper in half, color one side, unfold to check symmetry, then use mirrors to verify equal parts. Partners compare and discuss adjustments. Rotate materials every 10 minutes.

Explain what it means for something to be divided into 'halves'.

Facilitation Tip

During the Folding Station, circulate with a ruler to model measuring fold lines and ensure students align edges precisely.

What to look for

Give each student a paper circle. Ask them to fold it into two equal halves and draw a line on the fold. Then, ask them to write one sentence explaining why their two parts are called halves.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 02

• Experiential Learning
• 25 min · Pairs

Sharing Circle: Object Division

Give pairs items like pretzels or playdough. Students break or divide into two equal parts, using string or rulers to measure. They trade with another pair to check equality and explain their method.

Construct a way to share a cookie equally between two friends.

Facilitation Tip

In the Sharing Circle, give each student a small manipulative like a block to hold while dividing to prevent vague hand gestures.

What to look for

Show students two pictures: one of a shape divided into two equal halves and another of a shape divided into two unequal parts. Ask: 'Which shape is divided into halves? How do you know? What makes the other shape different?'

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 03

• Experiential Learning
• 35 min · Small Groups

Shape Hunt: Classroom Halves

Students hunt classroom items divisible into halves, like books or clocks. In small groups, they draw or photograph halves, label with 'half of' and justify equality. Share findings whole class.

Justify why both parts must be exactly the same size to be called halves.

Facilitation Tip

For the Shape Hunt, provide sticky notes so students can label and compare halves found around the room.

What to look for

Provide students with various small objects (e.g., blocks, crayons). Ask them to select one object and demonstrate how they would divide it into two equal halves. Observe if they can create two parts of the same size.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 04

• Experiential Learning
• 20 min · Pairs

Cookie Split Game: Board Halves

Draw cookie shapes on paper boards. Pairs roll dice to claim space, partitioning shapes into halves with scissors. First to fill board with equal halves wins; discuss strategies.

Explain what it means for something to be divided into 'halves'.

Facilitation Tip

In the Cookie Split Game, use transparent counters to let students physically move 'cookie pieces' to check equal shares.

What to look for

Give each student a paper circle. Ask them to fold it into two equal halves and draw a line on the fold. Then, ask them to write one sentence explaining why their two parts are called halves.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

A few notes on teaching this unit

Teach halves by starting with whole objects students can touch and see, not abstract drawings. Use language like 'two same-sized parts' instead of 'split in half' to avoid implying only one way to divide. Research shows young learners need repeated, varied experiences with partitioning before moving to symbols. Avoid rushing to written fractions; let the concept grow from real objects and social discussion.

By the end of these activities, students will explain why halves must be equal, identify halves in everyday objects, and use language like 'half,' 'equal,' and 'same size' with confidence. Success is visible when students justify their answers and correct peers’ uneven divisions.

---

Watch Out for These Misconceptions

• During Folding Station, watch for students who fold a paper circle unevenly and call both sides halves.

  Give students a small mirror to check their fold line; if the reflection shows two matching arcs, the halves are equal. Ask them to explain why unequal folds do not make halves.

• During Shape Hunt, watch for students who only identify halves in rectangles and miss halves in circles or other shapes.

  Have students cut out their circle findings and fold them to prove halves, reinforcing that any shape can be divided equally with the right technique.

• During Cookie Split Game, watch for students who believe half must be the smaller piece when dividing a small whole.

  Ask them to compare halves of a large paper cookie and a small one, prompting them to notice that both halves are the same size relative to their whole, even if the wholes differ.

---

Methods used in this brief

• Experiential Learning