EQUIVALENT FRACTIONS : PROVE EQUIVALENT AMOUNTS (Teaching & Practice Workbook for Ages 10–12)

WHAT YOU RECEIVE — 2-FILE LEARNING PACK

File 1 — Teaching & Practice Workbook size A4

80 pages of teaching, visual models, guided and independent practice, reasoning activities, Mastery Check, and printable support resources.

File 2 — Answer Key with Reasoning, size A4

58 pages of written solutions, reasoning guidance for adults, and a Picture Answer Key with completed workbook pages. 

This workbook may be a good fit for

• Learners around ages 10–12 working on equivalent fractions
• Learners age 9+ with strong fraction foundations
• Homeschool or parent-guided learning
• Independent practice with visual support
• Learners who can perform some fraction procedures but need more support understanding why they work
• Learners who would benefit from explanation, comparison, error analysis, and justification alongside calculation

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This workbook may not be the right starting point for

• A learner who is still learning what a fraction represents
• A learner who is not yet comfortable identifying the whole and equal parts
• A learner looking mainly for a large collection of short computation drills
• A learner who needs individualized diagnostic or remedial instruction

The workbook is designed for educational practice. It is not a diagnostic instrument and does not replace individualized instruction when a learner needs additional support.

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Build the reasoning behind equivalent fractions

The goal of this unit is not simply to produce more equivalent fractions.

It is to help the learner identify what stays the same, understand what changes, choose useful evidence, recognize reasoning that changes the value, and explain why different fraction names can represent the same value.

If your learner already has basic fraction foundations and now needs more support with equivalence, proof, and explanation, Prove Equivalent Amounts offers a structured teaching-and-practice unit focused on those skills.

Additional learning supports

The workbook includes:

• Printable Fraction Strips
• Common-Unit Planner
• Reasonableness Checklist
• Sentence Frame Bank

These resources can be used during the unit or revisited when a learner needs help organizing a model, explanation, or mathematical check.

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Answer Key with Reasoning

A companion Answer Key with Reasoning is available for this workbook.

It is designed to help adults check both the answer and the reasoning behind it.

The key asks adults to look for four things:

the whole → the equal parts → the preserved value → the proof

Solutions include mathematical reasoning, acceptable alternative approaches where appropriate, and guidance for open-ended visual or reasoning tasks. The answer key also contains a Picture Answer Key showing completed versions of many workbook activities.

The sample explanations are models rather than scripts. Learners do not need to use identical wording when their mathematics and reasoning are valid.

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