Free Grade 6 mathematics teaching kit

Find and Interpret “Per One”

Is this the right resource?

Audience / fit: Grade 6 math
Teaching or planning target: Find a requested unit rate and explain which quantity is measured per one of the other quantity.
Essential prerequisites: For Grade 6 mathematics. Start with the equivalent-ratio lesson if students need help naming quantities in order, making equivalent groups or dividing whole numbers.
Preparation: Review the teacher decision table and select readiness, lesson or check pages; preparation time depends on the route.
Use time: Teach, check and respond in separate selected steps; use time depends on prior learning and the response task.
Materials: Paper and pencil. Optional counters for equal groups. No device, purchase, account or email is needed.
What to print: Use the primary PDF choice below and its matching adult guide. Print only the phase/task being used; keep complete keys and later checks with the teacher.

Prepare → teach → check → respond

Use the teacher guide’s complete keys and alternatives. Save different follow-up and later tasks until their intended use.

Editable and browser copies; every response route

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.

Formats and all files

Browse free resources · Unit-rate collection and starting route

Find a requested unit rate, label both quantities and explain what “per one” means. Use separate checks and supplied response tasks.

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

Choose what to give learners

Give Readiness alone before showing the model, glossary or lesson.
Teach the Model and guided lesson, then give only the separate Independent check. The lesson and check use different problems.
Use the teacher guide to choose one supplied continue, clarify, reteach or extend task. Give only that route file.
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.

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

Student files

Readiness — give before the lesson: Printable PDF · Editable Word file · HTML text
Model and guided lesson: Printable PDF · Editable Word file · HTML text
Independent check — separate from the lesson: Printable PDF · Editable Word file · HTML text
Use a unit rate to find a new total: Printable PDF · Editable Word file · HTML text
Explain what “per one” means: Printable PDF · Editable Word file · HTML text
Find a unit rate with equal groups: Printable PDF · Editable Word file · HTML text
Compare rates in both directions: Printable PDF · Editable Word file · HTML text
Follow-up check — use after practice: Printable PDF · Editable Word file · HTML text
Later practice — use at another learning opportunity: Printable PDF · Editable Word file · HTML text
Transfer task: Printable PDF · Editable Word file · HTML text

Teacher guide and shared tools

Teacher guide, complete keys and response routes: Printable PDF · Editable Word file · HTML text

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

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.

Previous classroom editions

Find and Interpret Per One — teacher: Read in browser (previous edition) · Editable Word (previous edition) · PDF (previous edition)

Find and Interpret Per One — student lesson: Read in browser (previous edition) · Editable Word (previous edition) · PDF (previous edition)

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

Equivalent Ratios — First teaching for labeled ratio order and equivalent groups.
Compare Unit Rates on the Same Basis — Move to fair comparisons when per-one meaning and units are secure.
Collection starting route — Choose the entry point and obtain the complete offline classroom package.
Substitute Handoff and Independent-Work Pack — Prepare familiar ratio or rate practice with complete student pages, established routines and a return route.
Clear Directions and Language-Support Pack — Plan neutral directions and representations while keeping quantity labels, rate direction and explanation visible.
Practical Family-Communication Templates — Invite a short conversation about familiar mathematics; keep later classroom checks and teacher keys at school.

When quantity meanings need first teaching

Explain Equal Groups, Comparisons and Shares — Before fractional per-one amounts, use the equal-shares model to explain division as a fraction of a fixed measured unit; retain the separate ratio and rate-direction teaching.

Discuss unit-rate reasoning with a mentor

Use the complete unit-rate mentoring rehearsal when the professional goal is interpreting a learner’s response and deciding what to teach next. Its fictional equal-sharing case connects the rate’s unit to a neutral probe, conditional teaching and a fresh check. The mathematics lessons and learner downloads on this page remain the route for further per-one teaching.

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

Choose the editable files for this resource and keep teacher guidance separate.