These examples apply the research recommendations to real content. They are original lesson ideas, not individually tested programs.
Grade 7 math · 40 minutesWhich ticket table is proportional?
Content: Table A shows 2, 4, 6 tickets costing $6, $12, $18. Table B shows 2, 4, 6 tickets costing $8, $14, $20. Students decide which table is proportional and justify with unit rates. (A is $3 per ticket throughout; B is $4, $3.50, then about $3.33.)
Language: Compare rates and justify with two values.
- Launch 5: Display both tables; notice and mark numbers.
- Model 7: Find the cost per ticket in A; teach per, constant, proportional in context.
- Partner 10: Each student explains one table, partner asks for evidence.
- Apply 13: Decide independently and write a two-sentence proof.
- Close 5: Revise one explanation using a second row.
“In table ___, ___ tickets cost ___. The unit rate is ___. It is/is not proportional because ___.”
Science · 40 minutesWhat does the investigation show?
Content: Students compare two plants grown with different light directions. Use actual class photos or a reliable set of observations; distinguish what is visible from a possible explanation.
Language: Describe an observation, then explain a claim using evidence.
- Launch 5: Show both images with the question visible.
- Model 7: Label one observation; teach observe, evidence, direction.
- Partner 10: Partners sort observations from explanations and defend a choice.
- Apply 13: Draw, label, and write a claim with two observations.
- Close 5: Revise an unsupported claim to cite visible evidence.
“I observed ___ in plant ___. This supports ___ because ___.”
Project or print this data · Grade 7 mathComplete classroom example: ticket prices
Student question: Which table represents a proportional relationship? Find the cost per ticket in at least two rows of each table. Explain how those rates support your answer.
Teacher moves and student talk
Model: “In A, 2 tickets cost $6, so one ticket costs $3. I divided the cost by the number of tickets.” Point to that row, then have students calculate a different row themselves. Explain unit rate as the cost for one ticket and constant as staying the same.
Partner prompt: “Find two unit rates in your assigned table. Are they the same? Show the rows you used.” Partner B asks, “Which numbers support your claim?” Switch so both students explain. Independent check: Each student writes which table is proportional and cites two rates; collect the response before discussing the answer.
What a response can sound like
Developing: “A is proportional because the numbers go up.” Feedback: “You chose a table. Calculate the cost for one ticket in two rows and tell me whether it stays the same.” Revised: “A is proportional because $6 ÷ 2 and $12 ÷ 4 are both $3 per ticket. In B, $8 ÷ 2 is $4, but $14 ÷ 4 is $3.50, so its unit rate changes.”
Choose and fade support
More access: Highlight one row, let students annotate the table or rehearse in a familiar language, and offer “___ dollars ÷ ___ tickets = ___ dollars per ticket.” Less support: Offer only “The unit rate ___ because ___.” Independent extension: Explain why adding $6 for every two tickets in B does not make B proportional. Check each student’s own explanation before changing the support.
Answer check: A has a constant $3 per ticket. B has rates of $4, $3.50, and $3.33… per ticket. B increases by $6 for every two additional tickets, but its unit rate is not constant.