Unit Rates and Fair Comparisons

Library package prepared 2 November 2026. Revised guides are marked with that date; unchanged teacher and student/core editions retain their file labels. Use the matching current guide supplied beside each task.

Keep this package with the teacher. Choose one stage at a time. Distribute only its student files and required sources. Teacher keys and reserved independent/follow-up/later tasks have separate folders. A teaching model may intentionally contain an answer; keep checks for later use aside during teaching.

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Equivalent Ratios: Scale Both Quantities

Generate or reject a candidate equivalent ratio by explaining how both labeled quantities change together.

Prerequisites: Count and name the two quantities in a ratio, preserve their order, and use equal groups or multiplication/division with whole numbers. The student lesson includes a short introduction to 'for every' and colon notation. Fraction and decimal work also requires interpreting one half and multiplying a decimal by one half or three halves.

Prepare: Ordinary paper and pencil; counters are optional. Check readiness before selecting whole-count or fractional-length work. Timing: Published planning estimates: preparation 4–6 minutes; full lesson 40–55; focused follow-up 8–12; independent check 4–6. Revisit later after another learning opportunity.

Open the current preparation, browser versions and response decisions

Default starting selection: Model and guided practice. Read the matching teacher guide first. Select the response route from the observed work, then use its separate check at the named occasion.

1. teacher guide — teacher.
   • teacher guide — editable Word
   • teacher guide — PDF
2. Readiness — student.
   • Readiness — editable Word
   • Readiness — PDF
3. Model and guided practice — student.
   • Model and guided practice — editable Word
   • Model and guided practice — PDF
4. Independent check — reserve until after teaching — student.
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   • Independent check — reserve until after teaching — PDF
5. Response pack — choose one of the two response lessons — student.
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   • Response pack — choose one of the two response lessons — PDF
6. Later reassessment — save for later — student.
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   • Later reassessment — save for later — PDF
7. Optional extension — student.
   • Optional extension — editable Word
   • Optional extension — PDF

Find and Interpret “Per One”

Find a requested unit rate and explain which quantity is measured per one of the other quantity.

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.

Prepare: Review the teacher decision table and select readiness, lesson or check pages; preparation time depends on the route. Timing: Teach, check and respond in separate selected steps; use time depends on prior learning and the response task.

Open the current preparation, browser versions and response decisions

Default starting selection: Readiness. Read the matching teacher guide first. Select the response route from the observed work, then use its separate check at the named occasion.

1. Readiness — student.
   • Readiness — editable Word
   • Readiness — PDF
2. Model and guided practice — student.
   • Model and guided practice — editable Word
   • Model and guided practice — PDF
3. Independent check — student.
   • Independent check — editable Word
   • Independent check — PDF
4. Continue — student.
   • Continue — editable Word
   • Continue — PDF
5. Clarify — student.
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   • Clarify — PDF
6. Reteach — student.
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   • Reteach — PDF
7. Extend — student.
   • Extend — editable Word
   • Extend — PDF
8. Follow up check — student.
   • Follow up check — editable Word
   • Follow up check — PDF
9. Later revisit — student.
   • Later revisit — editable Word
   • Later revisit — PDF
10. Transfer — student.
    • Transfer — editable Word
    • Transfer — PDF
11. Matching teacher guide and answers — teacher.
    • Matching teacher guide and answers — editable Word
    • Matching teacher guide and answers — PDF

Compare Unit Rates on the Same Basis

Choose a defensible comparison by finding rates with the same units and direction, then interpret the result for the stated goal.

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”.

Prepare: Read the Start Here selections; preparation time depends on the selected route. Timing: Use the teacher guide to plan the selected route

Open the current preparation, browser versions and response decisions

Default starting selection: Readiness check only. Read the matching teacher guide first. Select the response route from the observed work, then use its separate check at the named occasion.

1. Readiness check only — student.
   • Readiness check only — editable Word
   • Readiness check only — PDF
2. Model and guided practice — student.
   • Model and guided practice — editable Word
   • Model and guided practice — PDF
3. Independent check — student.
   • Independent check — editable Word
   • Independent check — PDF
4. Continue — student.
   • Continue — editable Word
   • Continue — PDF
5. Clarify — student.
   • Clarify — editable Word
   • Clarify — PDF
6. Rebuild the idea — student.
   • Rebuild the idea — editable Word
   • Rebuild the idea — PDF
7. Extension — student.
   • Extension — editable Word
   • Extension — PDF
8. Follow up check — student.
   • Follow up check — editable Word
   • Follow up check — PDF
9. Later revisit — student.
   • Later revisit — editable Word
   • Later revisit — PDF
10. Apply in a new setting — student.
    • Apply in a new setting — editable Word
    • Apply in a new setting — PDF
11. Matching teacher guide and answers — teacher.
    • Matching teacher guide and answers — editable Word
    • Matching teacher guide and answers — PDF

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