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Free Grade 6 mathematics teaching kit

Compare Unit Rates on the Same Basis

Current teacher guidance: 2 November 2026. Student tasks retain their stated core editions. Use the current stage choices and matching guide below.

Changes in the current files · 2 November 2026
  • The teacher guide includes annotated fictional sound, partial and error responses, with concrete teaching actions and evidence to seek next.

Prepare the materials

Prepare this lesson or activity

Recommended selection edition 1.0.0. Original source files retain their displayed editions.

Use the matching guide to choose a response to the work you observe. Clarify access and task wording first; one response is not a diagnosis. Keep independent work, later tasks and answers aside until their intended use.

Current teacher guidance: 2 November 2026. Student tasks retain their stated core edition; use the matching current guide linked here. Earlier files are kept separately in the archive.

Audience / fit
Grade 6 math
Teaching or planning target
Choose a defensible comparison by finding rates with the same units and direction, then interpret the result for the stated goal.
Essential prerequisites
For Grade 6 mathematics. Begin here when students can interpret a requested unit rate and its units. Otherwise, start with Find and Interpret “Per One”.
Preparation
Read the Start Here selections; preparation time depends on the selected route.
Use time
Use the teacher guide to plan the selected route
Materials
Paper and pencil. Optional counters for equal groups. No device, purchase, account or email is needed.
What to print
Print the chosen activity. Follow the source or reveal instructions beside it.

Evidence to notice: Look for rates expressed on a common basis, with the compared quantities and units kept clear.

Preview the actual student page
Student page 1: Readiness check only
Actual student PDF page 1 of 1: Readiness check only. This page belongs to the named task; a teaching stage may intentionally show a model. Keep the matching teacher answers and reserved tasks separate.

Start with the selected task

Matching teacher guide and answers — keep separate: Matching teacher guide and answers · 19 pages.

Compare the observed response with the guide’s criteria. Clarify access and wording, then use its conditional directions to choose an activity below. Follow-up and later tasks are not interchangeable test forms.

Teaching stages, response practice and later checks

Starting tasks

Teaching and guided practice

Independent responses

Focused teaching responses

Follow-up checks

Later tasks — reserve for another occasion

Teacher files — separately

Archived page guidance and source files · Write a local teaching plan

Choose a teaching move from the response

Current print and editable package

Library package prepared 2 November 2026. Revised guides are marked with that date; other files retain their stated editions. Keep this package with the teacher. Read START-HERE, choose one stage, and retain teacher keys and checks for later use in their separate folders. Online browser versions are linked from the preparation pages.

Compare Unit Rates on the Same Basis · current ZIP · 0.7 MB

Choose from the response

Choose the next teaching move

Describe what the learner said, wrote or showed. Check access, wording, prerequisites and calculation before interpreting it. A single response is not a diagnosis. Record support and prior exposure; a helped or rehearsed task is practice.

Give readiness before models. The short-check pages contain two independent tasks; show page 1 before page 2 when the guide calls for that order. Keep both follow-up pages for after selected teaching. Apply in a New Setting remains an additional activity.

Start with the supplied materials

Observe, clarify and select one response

Shared basis, goal-matched comparison, ties and missing information are explained.

Teaching move: Ask for a labeled rate and why it applies to the new quantity.

Read the matching teacher directions; keep answers with the teacher.

The response is ambiguous, or a choice lacks comparable labeled rates.

Teaching move: Read neutrally or invite an oral/labeled drawing response. Ask what the 1 names without supplying a calculation or choice.

Read the matching teacher directions; keep answers with the teacher.

After clarification, totals or mixed rate directions still determine the comparison.

Teaching move: Use the equal-group/table task. If per-one meaning is unclear, return to that prerequisite lesson.

Read the matching teacher directions; keep answers with the teacher.

Whole-number comparisons and boundaries are handled.

Teaching move: Try the exact fraction comparison or a common-quantity argument, including what reversing direction changes.

Read the matching teacher directions; keep answers with the teacher.

Look again after teaching

After the supplied teaching and guided practice, give the selected independent task without its answers. Use its explanation to choose a response above.

After selected response teaching and another learning opportunity, use the unused follow-up task.

Return on a later occasion

Reserve these tasks until their intended use. They have different demands; do not treat them as equivalent tests or proof of broad mastery.

Return to preparation and all formats · Complete teacher guide and answers

Archive: Additional formats, earlier editions and teaching guidance

Earlier guidance and source files are retained as historical records. For classroom teaching and printing, use the current stage files and matching guides above. Older guidance, timing and layouts are superseded; some retained browser/Word files have limited writing space or sparse extra pages. Keep historical student files with their historical keys and do not mix editions.

Is this the right resource?

Audience / fit
Grade 6 math
Teaching or planning target
Choose a defensible comparison by finding rates with the same units and direction, then interpret the result for the stated goal.
Essential prerequisites
For Grade 6 mathematics. Begin here when students can interpret a requested unit rate and its units. Otherwise, start with Find and Interpret “Per One”.
Preparation
Read the Start Here selections; preparation time depends on the selected route.
Use time
Use the teacher guide to plan the selected route
Materials
Paper and pencil. Optional counters for equal groups. No device, purchase, account or email is needed.
What to print
Use the stage-specific student choices below and the matching teacher guide. Give independent, new-evidence and later-assessment pages only at their intended stage.

Start teaching

Readiness check only · PDF (1 page)

Model and guided practice · PDF (2 pages)

Independent check · PDF (2 pages)

Read the teacher guide and answers · PDF (16 pages)

Use readiness to check per-one meaning, then teach with the separate lesson and practice. Compare the same units in the same direction. Give the independent check only after practice; totals alone and a missing time cannot establish a fair rate comparison.

Editable Word, browser copies and other files

Print and adapt for your own planning and classroom use; printed copies may be shared within your classroom or school team, provided the source is not sold. Keep attribution and resource-specific notices. For redistribution and third-party materials, read the Terms of Use. Recommend this resource using its page link.

Choose a stage and format

Give only the stage being used. Keep later tasks and all teacher keys with the teacher until needed.

Archive: Formats and all files

Earlier guidance and source files are retained as historical records. For classroom teaching and printing, use the current stage files and matching guides above. Older guidance, timing and layouts are superseded; some retained browser/Word files have limited writing space or sparse extra pages. Keep historical student files with their historical keys and do not mix editions.

Complete reference files may include teaching, independent tasks, later evidence or teacher answers. Keep them with the teacher; use the separate stage selections above for handouts.

Browse free resources · Unit-rate collection and starting route

Compare rates with the same units and direction, explain ties and missing information, and check whether totals could mislead.

All files are free, with no account, email address, payment or subscription.

Teaching target
Choose a defensible comparison by finding rates with the same units and direction, then interpret the result for the stated goal.
Fit and prerequisites
For Grade 6 mathematics. Begin here when students can interpret a requested unit rate and its units. Otherwise, start with Find and Interpret “Per One”.
Materials
Paper and pencil. Optional counters for equal groups. No device, purchase, account or email is needed.
What’s included
Printable student materials and editable files are supplied with separate teacher guidance.

Choose what to give learners

  1. Give Readiness alone before showing the model, glossary or lesson.
  2. Teach the Model and guided lesson, then give only the separate Independent check. The lesson and check use different problems.
  3. Use the teacher guide to choose one supplied continue, clarify, reteach or extend task. Give only that route file.
  4. Reserve the follow-up check, Later revisit and Transfer files until their intended occasion. Previously shown tasks are practice, even when completed independently.

Keep answer keys with the teacher. Note which tasks students have already seen, the tools and support they used, and how they responded. Keep student notes locally. The Start Here guide explains the prerequisites and pages to select across the three kits.

Teacher guide preview for Compare Unit Rates on the Same Basis

Read the independent check as HTML. Answers and next teaching moves are in the separate teacher guide.

Student files

Teacher guide and shared tools

Use the response to choose a next move

Look separately at calculations, unit labels, direction and explanation. Clarify an unclear response before choosing a practice task. After practice, collect students’ responses to a follow-up task, noting any support used.

Scope, sources and reuse

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. These kits address 6.RP.A.2 and selected unit-rate applications from 6.RP.A.3b; they do not assess the whole standard or a complete mathematics course.

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.

Use the editable files to adapt the materials to your learners and local curriculum.

When the lower unit price does not buy the cheapest whole packs

A learner may calculate dollars per item correctly and still choose an infeasible or more expensive purchase. This companion teaches the missing step: find the least number of whole packs that supplies enough, compare total cash paid and qualify the decision for the stated need.

Use it after common-basis unit-price teaching when student work overlooks a pack restriction. The fictional starting response helps distinguish that reasoning from unclear units, an arithmetic slip or an access difficulty. The lesson supplies a teacher model and targeted practice; different follow-up orders test the explanation before a later whole-roll transfer.

  1. Read Start Here and the teacher guide. If entry reasoning is unknown, give Starting task alone.
  2. Choose Lesson and practice after interpreting the response. Use the worked purchase and guided complete-pack counts, then change the quantity needed to challenge an automatic supplier choice.
  3. Keep Follow-up check and Later transfer unused until their intended occasion. Previously shown or helped work is practice. Keep answers with the teacher.

Teacher preparation and answers

Student pages to select

Download the whole-pack companion and selected comparison first teaching. The ZIP includes all companion PDF, native Word and HTML files plus the unchanged comparison lesson and teacher guide. The original unit-rate collection above remains available with its existing checks. Share selected student pages, not the whole ZIP.

Teacher orientation for choosing whole-pack purchase teaching
Teacher preparation preview; later task amounts and answers are kept separate.

For selected Grade 6 learners who can interpret unit price and multiply whole groups. Read-aloud, enlarged text or an agreed oral or drawn response can preserve the target; supplying pack counts or a supplier choice changes what is checked. Record the support used. The transfer adds measured length; no comprehensive grade coverage or equal-difficulty claim is made.

Prices and learner examples are fictional teaching material. Teachers may print and adapt the original companion under the Terms of Use; retain attribution and identify local changes. Word copies may reflow after editing, so check print preview. Classroom effectiveness has not been established. Report a resource issue.

Use familiar practice beyond the lesson

Keep this lesson’s target when preparing familiar practice beyond the lesson. Prepare a substitute handoff with the exact student pages and return instructions. Plan neutral directions and representation supports that preserve the mathematics. Offer a brief family conversation about practice already taught.

Keep teacher keys and later checks with the teacher. Previously shown or helped work is practice; record the support before interpreting a response.

Choose a next move

Editable Word files

Additional files · teacher preparation

Use the separate stage choices above for student handouts. Complete selections may include later tasks or answers.

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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Report a resource issue · Open an issue email

Do not include student names or identifiable work in an issue report. Page revision: 2 November 2026; classroom files retain their own editions.