Comparing Simple Fractions

Year Level

Year 2 (Australian Curriculum v9)

Duration

60 minutes

Class Size

25 students

Unit Context

This lesson is Lesson 5 of 6 in the unit "Fun with Fractions." Students will develop their understanding of simple fractions by comparing halves and quarters using visual fraction strips. The focus is on promoting conceptual understanding through hands-on activities and developing reasoning to justify which fraction is larger.

Australian Curriculum Links

Mathematics — Number and Algebra

Content Descriptor:

Recognise and interpret common uses of fractions such as halves, quarters and eighths to describe parts of a whole (Year 2)
AC9M2N03 (implied within fraction work for Year 2)
Focus on understanding fractions as equal parts of a whole and comparing simple fractions to identify larger or smaller parts.

Elaboration:

Using physical fraction strips or diagrams to compare halves and quarters visually.
Explaining reasoning for why one fraction is larger than another by counting parts or observing the size of the parts.

Though specific fraction content codes at Year 2 are not in the snippets above, Year 2 mathematics commonly expects fraction recognition, representation and comparisons through the use of visual and physical materials as consistent with the Australian Curriculum Foundation to Year 2 sequence (supported by AC9M1N06, AC9M1N02 for early number partitioning and equal sharing foundation).

Learning Objectives

By the end of the lesson, students will:

Recognise and identify halves and quarters as parts of a whole.
Use fraction strips to visually compare halves and quarters.
Determine which fraction is larger between halves and quarters.
Explain their reasoning to justify which fraction is larger, using visual evidence.
Develop critical thinking skills by discussing different strategies for comparing simple fractions.

Lesson Structure

Preparation

Prepare sets of fraction strips for each student or pair (include whole, halves, quarters).
Whiteboard or chart paper for visual demonstration and recording student reasoning.
Worksheets with visual fraction representations for independent or group activities.

Lesson Outline

Time	Activity	Description	Resources
0-10 min	Engage - Review Prior Knowledge	Begin with a class discussion reviewing what students know about halves and quarters. Use real-life examples (pizza, chocolate bar) to contextualise. Briefly demonstrate halves and quarters using a large fraction strip or pie chart on the board.	Large fraction strips, images of pizzas/chocolate
10-25 min	Explore - Hands-On Comparing	Distribute fraction strips. Students work in pairs to place a half strip next to quarter strips and compare. Ask guiding questions to prompt them to observe size differences. Encourage students to physically see which is larger and share observations verbally.	Fraction strips (per student/pair)
25-35 min	Explain - Class Discussion	Gather students to share their comparisons. Write student ideas on the board explaining why halves are larger than quarters. Emphasise that the size of the pieces and the number of pieces make a difference to the fraction size. Use language like “one half is bigger because you only cut the whole into 2 pieces, while one quarter is smaller because it’s cut into 4 pieces.”	Board/chart paper
35-50 min	Elaborate - Reasoning and Extension Activity	Provide simple worksheets with images of halves and quarters. Students circle which fraction is larger and write or dictate a sentence explaining their choice. For example, “This is bigger because...” Rotate support to assist sentence formation for those who need it.	Worksheets with fraction images
50-60 min	Evaluate - Reflection and Sharing	Conclude with volunteers sharing their answers and reasoning. Teacher assesses understanding by listening for correct use of fraction language and visual comparison strategies. Provide positive feedback and clarify any misconceptions.	Class discussion

Differentiation

Support: Provide additional one-on-one support using physical fraction strips and scaffolding language (e.g., comparing size by holding strips side by side).
Challenge: Encourage students who grasp the concept quickly to think about other fractions (such as thirds or eighths) or to partition shapes into halves and quarters themselves.

Assessment

Observe students during the hands-on activity and class discussion, noting their ability to correctly identify and compare halves and quarters.
Review student worksheets for accuracy in selecting the larger fraction and for ability to explain their reasoning.
Use verbal questioning to assess critical thinking and reasoning skills.

Resources Needed

Fraction strips (whole, halves, quarters) – physical or printable versions.
Visual aids (printed shapes like circles, rectangles partitioned into halves and quarters).
Whiteboard/chart for recording ideas.
Worksheets with images of halves and quarters for comparison.
Pencils, coloured markers.

Teacher Notes

Emphasise the visual and experiential learning since Year 2 students benefit most from concrete materials.
Use everyday examples to make fractions relatable.
Encourage full sentences during explanations to support language development.
Link this lesson to prior lessons on recognizing fractions and prepare students for the next lesson which may involve ordering fractions or simple fraction addition.

This lesson plan ties closely with the Australian Curriculum focus on number and simple fraction understanding in Year 2, promoting hands-on, visual comparison and reasoning aligned with curriculum expectations for early fraction comprehension and communication.

Teaching Instructions