Exploring Fraction Parts

Overview

Grade: 3
Duration: 40 minutes
Class Size: 20 students
Unit: Understanding Fractions Together (Lesson 2 of 6)
Curriculum Reference: British Columbia Mathematics Curriculum, Grade 3, Number Sense and Numeration – Develop understanding of fractions as parts of a whole and parts of a set (Big Ideas & Curricular Competencies).

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Learning Objectives

By the end of this lesson, students will:

• Identify fractions as equal parts of a whole or a set using concrete materials.
• Create and represent fractions by dividing shapes and sets into equal parts.
• Use mathematical language to describe fractions, focussing on equal sharing and parts of a whole.

Curricular Competencies (BC):

• Reasoning and analyzing: Use concrete materials to explore fractional parts and justify thinking about equal parts.
• Communicating and representing: Represent fractions with objects and pictures and explain reasoning verbally and in writing.
• Connecting and reflecting: Relate fractional parts to real-life contexts and personal experiences.

Content (Big Ideas):

• Fractions describe equal parts of a whole or parts of a set.
• Understanding that equal shares create fractions that represent equal parts.

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Materials Needed

• Fraction circles or fraction bars (manipulatives)
• Paper shapes (circles, rectangles) printed on cardstock for cutting/dividing
• Counters or coloured beads
• Whiteboards and dry-erase markers
• Student journals or notebooks
• Fraction vocabulary cards (half, third, quarter, equal parts)

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Lesson Breakdown

1. Introduction & Warm-up (5 minutes)

Activity: Quick Think-Pair-Share

• Ask: “If I cut a pizza into two equal slices, what fraction of the pizza is one slice?”
• Have students discuss with a partner and then share responses.
• Show a whole pizza shape and split it into 2 equal parts, label each part as ½.

Teacher notes:
Emphasize the word “equal.” Highlight how sharing into equal parts is key to fractions.

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2. Guided Exploration (15 minutes)

Activity: Hands-On Fraction Construction

• Give each student a paper shape (circle) and scissors.
• Demonstrate cutting the shape into equal parts: first halves, then thirds, then quarters.
• Students create their own fraction parts by folding and cutting.
• Provide fraction circles/bars for tactile reinforcement.

Support:

• Encourage students to count parts and check that parts are equal in size.
• Model language: “This circle is cut into four equal parts, so each part is one quarter.”

Group Prompt:

• “Can you show me halves with your shape? Thirds? Quarters?”
• Share and compare their different fraction shapes in small groups (4-5 students).

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3. Applied Set Division Activity (10 minutes)

Activity: Divide a group of counters into fractions

• Give students 12 coloured counters or beads.
• Ask: “If you share 12 counters equally into 3 groups, what fraction does each group represent?”
• Guide students to place 4 counters in each group, identifying each group as 1/3 of the whole set.

Extension:

• Challenge them to find halves, quarters, and other fractions by dividing the counters differently.

Reflective Question:

• “Why is it important that each group has the same number of counters?” (equal parts)

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4. Consolidation & Sharing (7 minutes)

Activity: Partner Explanation

• In pairs, students explain to each other what fraction they made and how they know the parts are equal.
• Rotate and invite a few volunteers to share their fraction and reasoning with the class verbally.

Teacher Prompt:

• Encourage use of fraction vocabulary (“equal parts,” “one half,” “one quarter,” etc.).
• Correct misconceptions gently, e.g., if parts aren’t equal sizes.

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5. Assessment & Reflection (3 minutes)

• Quick exit card: On a sticky note or small paper, students draw a shape and divide it into equal parts, labelling one part as a fraction (e.g., 1/3).
• Collect to assess individual understanding of equal parts and fraction labelling.

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Differentiation

• Support: Provide pre-divided shapes for students who need assistance cutting accurately. Use larger manipulatives.
• Extension: Encourage advanced learners to create fraction sums, e.g., ¼ + ¼ = ½, using manipulatives.

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Cross-Curricular Connections

• Language Arts: Use speaking, listening, and vocabulary skills during partner discussions and explanations.
• Visual Arts: Incorporate paper folding and cutting techniques.

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Reflection for Teachers

• Observe student ability to identify equal parts and connect fractions to real objects.
• Note any students who struggle with the concept of equality in parts for further support in upcoming lessons.
• Gather insights from exit cards to plan differentiated future activities in the unit.

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This lesson embraces BC’s hands-on, inquiry-based learning style and supports students’ conceptual understanding through concrete materials while promoting mathematical language and peer collaboration.