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Mathematics for selected Grades 5–6

Explain Equal Groups, Comparisons and Shares

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.
  • The guide has an explicit launch sequence for the supplied prerequisite and teaching activities.

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
Grades 5–6 mathematics
Teaching or planning target
Help students explain equal-group roles, distinguish times as much from more than, and show an equal share as a fraction of a measured unit. Includes visual models, guided practice, short checks and focused next tasks.
Essential prerequisites
Count and name supplied whole-number amounts. Access short directions and communicate a labeled drawing, equation or explanation. Use a supplied meter or liter as a fixed whole; lessons introduce equal partitions.
Preparation
Read Start Here; choose the starting task and teaching stage; preparation time depends on the selected route.
Use time
Three 20–30-minute lessons Planning estimate; adjust for your class.
Materials
Selected student pages, paper and pencil or an established response method, and the separate teacher guide.
What to print
Print the chosen activity. Follow the source or reveal instructions beside it.

Evidence to notice: Look for named quantities and an explained relationship or operation, rather than an unexplained answer.

Preview the actual student page
Student page 1: Starting point
Actual student PDF page 1 of 1: Starting point. 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 · 20 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

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.

Read calculation separately from the represented relationship; a fact slip is different from an incorrect model. Use the corresponding follow-up page after teaching. Later Revisit and Apply in a New Setting change presentations and amounts; they are not equivalent tests.

Start with the supplied materials

Observe, clarify and select one response

The answer finds a different unknown or omits the unit.

Teaching move: Name the Quantity You Are Finding; clarify wording and access first.

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

Unequal groups, additive thinking or a changing whole alters the relationship.

Teaching move: Use the relevant Rebuild Groups and Equal Shares page.

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

Models are sound but inverse relationships need consolidation.

Teaching move: Connect Groups and Comparisons.

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

Quantity roles and the measured whole can be explained independently here.

Teaching move: Explain What Changes and What Stays Fixed.

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.

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Audience / fit
Grades 5–6 mathematics
Teaching or planning target
Help students explain equal-group roles, distinguish times as much from more than, and show an equal share as a fraction of a measured unit. Includes visual models, guided practice, short checks and focused next tasks.
Essential prerequisites
Count and name supplied whole-number amounts. Access short directions and communicate a labeled drawing, equation or explanation. Use a supplied meter or liter as a fixed whole; lessons introduce equal partitions.
Preparation
Read Start Here; choose the starting task and teaching stage; preparation time depends on the selected route.
Use time
Three 20–30-minute lessons Planning estimate; adjust for your class.
Materials
Selected student pages, paper and pencil or an established response method, and the separate teacher guide.
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.

Start teaching

Starting-point check: groups and shares · PDF (1 pages)

Read the starting and print guide · PDF (2 pages)

Complete teacher guide, answers and alternatives · PDF (16 pages)

Print only the student pages you plan to use. Keep teacher answers and later checks with the teacher until their intended use.

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.

Browse free resources · Start with groups and equal shares

Help students explain equal-group roles, distinguish times as much from more than, and show an equal share as a fraction of a measured unit. Includes visual models, guided practice, short checks and focused next tasks.

For selected Grades 5–6 learners, including older learners who need these quantity meanings. Choose by students’ responses and access needs. Every file is free; no account or payment is required.

Find the starting point

Use the one-page starting task to see how students name group roles, compare lengths and describe an equal measured share. Check wording and access before choosing the teaching stage.

Teach the quantity meanings

Begin with a total, a number of equal groups and a group size. Compare times as long with centimeters longer using the same baseline. Then use equal parts of a meter to explain why a whole-number division can give a fractional share. Three lessons of about 20–30 minutes are planning estimates; select and adjust the pages for your learners.

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.

Student materials

Models are followed by guided practice. Give the separate check after teaching, choose focused continue, clarify, reteach or extend work, and save the different later tasks until their intended use. Share only the selected student file.

Teacher guidance and answers

Optional familiar practice at home

Access and next teaching

Allow neutral read-aloud, enlarged diagrams or an appropriate spoken, typed or written explanation. Keep the learner’s group, comparison and equal-part decisions visible. Record support and read the mathematical relationship separately from a computation slip.

Classroom use

All situations and mathematical diagrams are original constructed teaching materials. You may copy and adapt them for planning and classroom use under the Terms of Use. Keep teacher answers separate from student copies. Report a resource issue.

Editable Word files

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

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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.