Free connected Grade 6 mathematics collection
Unit Rates and Fair Comparisons
Is this the right resource?
- Audience / fit
- Grade 6 mathematics
- Teaching or planning target
- Help Grade 6 students scale equivalent ratios, find and interpret unit rates, and compare rates fairly. Use models and guided tasks, short checks and focused practice. Includes printable and editable student materials, complete keys and separate teacher guidance.
- Essential prerequisites
- Name both quantities and use labeled equal groups; teach equivalent ratios before per-one meaning, then compare on the same basis.
- Preparation
- Review the starting route, choose one task and its matching guide, and prepare copies; preparation time depends on the branch.
- Use time
- Use the selected resource’s lesson/check estimate; the collection is a choice of routes, not one additional lesson.
- Materials
- The selected student file or adult form, its matching guidance, and the materials named for that branch.
- What to print
- One selected readiness/lesson/check and its complete teacher guide; Start Here supports routing.
Help Grade 6 students scale equivalent ratios, find and interpret unit rates, and compare rates fairly. Use models and guided tasks, short checks and focused practice. Includes printable and editable student materials, complete keys and separate teacher guidance.
Every file is free. No account, email address, payment or learning platform is required.
Where to start
- Use the equivalent-ratio lesson when naming both quantities, building labeled equivalent groups or scaling both quantities needs teaching. Equivalent Ratios
- Find and Interpret “Per One” — When the learner can work with labeled ratios and needs to interpret a requested unit rate.
- Compare Unit Rates on the Same Basis — When per-one meaning is secure and the next need is comparison on the same units and direction, including ties and missing information.
Use each kit’s separate readiness file before showing its model. These are local routing conversations, not placement scores. Teachers can enter at the relevant lesson; this collection is a supplement, not a complete ratios course.
Complete classroom package
ZIP files · teacher preparation only
This archive may combine teaching, later tasks and answers. Choose the individual resource and its stage-specific pages before making student handouts.
Printable PDFs, editable Word files, student tasks and separate teacher guides are included. Start with the teacher’s Start Here guide. Download the unit-rate collection
The ZIP contains classroom files. Individual files are available through the three kit pages above; the whole ZIP is optional.
Shared files
- Collection Start Here and print selections: Printable PDF · Editable Word file · HTML text
- Representation glossary: Printable PDF · Editable Word file · HTML text
- Local teacher decision record: Printable PDF · Editable Word file · HTML text
Respond, then look again
The unit-rate and comparison kits include tasks to continue, clarify, reteach or extend learning. Use the teacher guide and complete keys to choose a task, then save a follow-up check, later revisit or transfer task until students are ready to try it on their own. Keep answer keys with the teacher.
Keep the mathematics connected
These lessons already include models, practice, checks and teacher guidance. Use the same learning goal when preparing cover work, planning access or explaining the learning to families.
- Prepare familiar mathematics practice for a substitute: select work students can start with routines already taught, and leave the required pages and return instructions.
- Plan clear directions and useful representations: keep quantity labels, the meaning of “per one” and the comparison goal visible.
- Invite a short conversation about familiar mathematics: families can listen to an explanation without teaching a new lesson or marking a check.
Share only the selected practice pages. Keep teacher answers and later classroom checks with the teacher. When a task or its answer has already been seen, use it as practice.
About the materials
For Grade 6 mathematics. Students should be able to name both quantities in order, scale both quantities to make equivalent ratios, divide whole numbers and read a simple fraction as division. The equivalent-ratio lesson teaches ratio language and equal-group reasoning.
Interpret per one, preserve direction and units, compare on the same basis, explain ties and missing information, and apply a stated constant rate. No percent, measurement conversion, coordinate graphing, complex fractions or complete proportionality course. See the official Grade 6 ratios and proportional relationships standards for the reference.
Teachers may print, use and adapt these original materials for their teaching. Retain Mentor Teaching attribution and identify local changes. Numerical data and examples are constructed, not classroom observations.
Keep any student notes locally under your school’s procedures. This site does not collect student responses.
Before ratios: groups and equal shares
If learners need to explain group roles, times as much or a fractional measured share, begin with Equal Groups and Equal Shares. Then use the ratio sequence’s own starting task to introduce paired quantities. Each later lesson teaches an additional demand.
Respond when a whole-pack purchase breaks a unit-price shortcut
The whole-pack companion in Compare Unit Rates supplies a worked purchase model, targeted learner practice, a different independent follow-up and later whole-roll transfer with separate teacher keys. Use it when a learner finds the unit price but ignores how many complete packs are needed.
ZIP files · teacher preparation only
This archive may combine teaching, later tasks and answers. Choose the individual resource and its stage-specific pages before making student handouts.
Download the companion with selected first-teaching files separately. The original collection ZIP is unchanged and contains the original three kits; it does not contain this addition. Keep all unused later tasks and answers with the teacher.
Move from a supplied rate to testing a relationship
When paired-ratio and per-one reasoning are secure, the selected Grade 7 Proportional Relationships collection teaches multi-row tests, tables, rules, graphs, starting amounts and model limits. It supplies actual response lessons, different independent checks, transfer and complete keys. This adds a new reasoning target; keep this resource’s own tasks and exposure records for their original purpose.
Editable Word files
ZIP files · teacher preparation only
This archive may combine teaching, later tasks and answers. Choose the individual resource and its stage-specific pages before making student handouts.
Unit-rate teaching guides (ZIP). Whole packs and purchase cost Word files (ZIP). Choose the editable files that match the task you will use. Use the full classroom collection for PDFs, HTML and other materials. The complete classroom collection includes these Word editions. Keep the bundles with the teacher and share only selected student tasks.
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Do not include student names or identifiable work in an issue report. Page revision: 15 October 2026; classroom files retain their own editions.