Fractions with Visual Models | Equal Parts, Numerator & Denominator, Comparing & Fair Shares | Math Unit | Grades 4–5

Fractions with Visual Models is a complete math unit on equal parts, numerator and denominator, comparing fractions, and fair sharing for grades 4–5: a 27-page student book and a 14-page teacher guide.

Students begin with a pizza cut into four equal pieces and learn why the parts must be equal. They shade 2/3 and 3/5 in rectangles and explain what each number means, then compare 1/2, 1/4, and 3/4 on strips of the same length. They look for fractions in daily life, such as half an hour being 30 minutes, and plan how three children can share two identical loaves equally. Throughout, they draw and explain rather than only calculate.

What's Included

• 27-page student book with a how-to-use page, five learning paths, a project, a learning check, a glossary, and a reflection page
• Each path in four steps: Understand (explanation and worked example), Observe (an illustration to examine), Practice (Task A), Transfer (Task B)
• Five Task A practice tasks with help cards and five Task B transfer tasks that ask students to explain a new situation with reasons
• My project (2 pages): students explain one path to another student with a heading, two examples, and a question of their own
• Learning check with one explain-and-give-an-example prompt per path, plus a "Words and ideas" glossary for students' own explanations
• My reflection page with a five-point self-assessment and a next-step question
• 14-page teacher guide: overview, learning progression, five answer-guidance pages with sample answers for Task A, five method pages (5-, 20-, and 10-minute lesson phases), project and learning-check criteria, sources
• Print-ready PDF (A4; prints on US Letter with fit-to-page)

Learning Paths

1. Wholes and Equal Parts — Why fractional parts must be equal
2. Numerator and Denominator — Shade and explain 3/4, 2/3, 3/5
3. Compare Fractions — Same denominators, equal-sized wholes, strips
4. Fractions in Daily Life — Halves and quarters in sharing, measuring, time
5. Share Fairly — Equal amounts in different shapes

Students Will Learn To

• explain a fraction as equal parts of a whole and say what the numerator and denominator count
• compare fractions with the same denominator and with different denominators using visual models
• decide what the whole is and share it fairly in everyday situations

Perfect For

• Grades 4–5 math fraction units, as the main text or as a visual-model supplement
• Teachers whose students can compute with fractions but struggle to explain what a fraction means
• UK and Australian classrooms: KS2 maths fractions (Years 4–5) or Years 4–5 Australian Curriculum fractions
• Small groups, math centers, intervention time, and sub plans, one path at a time
• Homeschool families who want drawing-based fraction work with an answer guide

Why Teachers Choose This Unit

• A complete sequence in one book: explanation, worked example, observation, practice, transfer, project, check, and reflection
• Written sample answers and feedback guidance for every path, including how to handle the open transfer task
• Two task levels in each path (A practice, B transfer), with support (sentence starters, word cards, shared image description) and extension (borderline case, counterexample, compare two solutions)
• Illustrations are used as discussion prompts; the definitions and worked examples are in the text, and students draw their own models
• About 5–8 lessons, and each path can be taught as a separate module

Also part of the Explorer Bundle: four complete units for $49.90.

Created with AI assistance: ChatGPT (OpenAI) and Claude (Anthropic). Illustrations were generated with OpenAI ImageGen as discussion prompts; they are not photographs or scale diagrams. Edited for classroom use before publication.

Frequently Asked Questions

Which grade does this fit?

It is written for grades 4–5 and sits closest to the Common Core fractions standards (for example 3.NF.A.1 and 4.NF.A.2) and to Years 4–5 in the UK. No official endorsement is claimed.

How long does it take?

Plan about 5–8 lessons. Each path has a 5-minute opening, a 20-minute explore phase, and a 10-minute consolidation. Paths can be taught separately.

Does it include fraction manipulatives or computation practice?

No. Students draw and shade their own circles, rectangles, and strips of equal length, so paper, pencils, and a ruler are enough. The focus is on meaning and comparison, not on a large set of drill problems.

How is it delivered?

As an instant digital download after checkout. Nothing is shipped.