Partitioning Shapes

Grade Level

Grade: 1 (Ages 6-7)
Class size: 16 students
Lesson duration: 60 minutes

Curriculum Alignment

British Columbia Curriculum – Mathematics, Grade 1
Big Idea: Understanding numbers and quantities includes recognising and representing fractions as equal parts of a whole.
Curricular Competencies:

Reasoning and analysing: Use mathematical language to describe equal parts of shapes.
Communicating and representing: Represent partitioned shapes using drawing and hands-on materials.
Connecting and reflecting: Describe how and why shapes can be partitioned into halves and fourths.

Content:

Partitioning simple shapes (circles, squares, rectangles) into two or four equal parts (halves, fourths).
Understanding ‘equal parts’ means parts that are the same size and shape.

Learning Objectives ("I can" statements)

I can partition shapes into equal halves.
I can partition shapes into equal fourths.
I can explain what makes parts equal when partitioning.
I can create a fraction book by cutting and folding shapes.

Success Criteria

I know I am successful when:

I correctly divide shapes into two equal halves using templates.
I correctly divide shapes into four equal parts.
I use scissors safely and accurately to cut out the shapes.
I can explain to a peer or teacher why the parts I’ve made are equal.
I complete my fraction book that shows halves and fourths neatly.

Materials Needed

Shape templates (circle, square, rectangle) pre-printed on sturdy paper
Safety scissors
Glue sticks
Blank mini booklets or folded paper for fraction book
Visual diagrams showing partitioning (large poster or digital display)
Whiteboard and markers
Dyslexia-friendly labels (bold fonts, high contrast colours) for instructions
Rulers (optional, for advanced learners)

Lesson Breakdown

1. Introduction (10 minutes)

Begin at the carpet or main teaching area with a large shape poster.
Activate prior learning: Recap halves through a quick mini-lesson. “What does it mean to split something in half?”
Demonstrate partitioning a circle and a square into halves and fourths on the board using different colours.
Use clear, dyslexia-friendly visual aids and verbal explanation ("Equal parts are the same size and shape").
Check for understanding through asking students to show “half” using their fingers.

2. Guided Mini-Lesson (15 minutes)

Hand out shape templates to students at their desks or centres.
Model step-by-step: fold/cut each shape into halves using template fold lines, then into fourths.
Students follow along cutting and folding with guidance.
Circulate to support fine motor skills and reinforce correct partitioning language.
Use “I can” language: “I can fold the square to make two equal parts.”
Differentiation: Provide pre-folded templates or shape stickers for students who need additional fine motor support.

3. Independent/Small Group Work (20 minutes)

Students work in independent centres:
- Cutting and assembling their fraction books with halves and fourths shapes inside.
- Peers can share and discuss which parts are equal and why.
Dyslexia-friendly task support: Instructions available in both oral, visual, and simple text formats.
For advanced learners: Provide optional rulers to measure halves and fourths and compare. They may create shapes partitioned into eighths or label with fraction numerals.
Differentiation: For students who need extension, ask them to colour each part a different colour and explain verbally the difference between halves and fourths.

4. Sharing and Reflection (10 minutes)

Gather the class for show and tell.
Invite students to explain their fraction book to a partner or teacher using the “I can” statements.
Highlight good examples of equal partitioning, praising accuracy and explanation.
Discuss where it was easy or hard to make equal parts, encouraging math reasoning.
Extend learning: Ask students what other shapes they might partition and how (introducing irregular shapes informally).

5. Closing (5 minutes)

Summarise the lesson with a verbal and visual recap of halves and fourths.
Use a thumbs-up/thumbs-down quick poll: “I can partition shapes into halves and fourths.”
Preview next lesson focus briefly (review and applying partitioning to real-world objects).

Assessment

Formative: Observe student ability to fold/cut shapes into equal halves and fourths accurately.
Use self-assessment prompt: Students point to their fraction book and say “I can…” statement aloud.
Collect fraction books as evidence of achievement.
Note which students need extra support or challenge for next steps.

Differentiation Strategies

For students with fine motor challenges: Use pre-cut shapes, larger templates, or scissors with handles designed for children with low dexterity.
For English language learners or students with dyslexia: Use clear visuals, hands-on materials, and oral instructions; keep text minimal and in dyslexia-friendly fonts (e.g., OpenDyslexic).
For advanced learners: Challenge to partition shapes into more parts, explore fraction names (½, ¼), or explore measurement with rulers.

Extension Activities

Create fraction shape puzzles where students piece together parts to form wholes.
Investigate real-world objects (fruit slices, paper folding) and photograph or draw how these can be partitioned equally.
Introduce the concept of “unequal parts” and explore why they do not make fractions.

Teacher Reflection Prompts

How successfully did students understand the meaning of equal parts?
Which strategies helped all learners engage effectively?
How did the fraction book support retention and understanding?
What adaptations could support students who struggled?
What will be my focus for the final lesson in this unit?

Notes for Teachers

Maintain positive language focusing on “I can” and “we can” to grow student confidence.
Reinforce safety with scissors throughout the lesson.
Use multisensory approaches (visual, tactile, oral) to support diverse learning needs.
Celebrate all attempts to partition shapes even if imperfect at first.

This detailed and carefully scaffolded plan ensures alignment with the British Columbia Curriculum and supports a kindergarten/grade 1 classroom context with an emphasis on hands-on, differentiated, and inclusive learning experiences.

Teaching Instructions