MATH IN THE FIELD · PASTURE CHALLENGE
How many cows fit the pasture?
Give each cow enough pasture. Change the acreage requirement, compare the space, and build an inequality.
STAGE 1 OF 3
One-step inequalities
Explore, then complete two short checks to open the next stage. Stage changes start a fresh example; investigation notes stay until reload. These practice checks do not certify mastery.
Teacher stage controls
Open any stage for demonstration, support, or a returning student. These local controls are not password protected.
Choose your classroom scenario
The acreage examples come from your teacher's lessons about Oklahoma variation. They are simplified assumptions for this activity, not a stocking recommendation. In this first model, each cow has the same requirement.
Reserve land for a pond, buildings, or a protected area. Reserved acres are part of the total pasture and unavailable for grazing. Enter 0 for a one-step inequality.
The acres-per-cow choice is the normal-forage requirement. This simplified drought model holds each cow's forage need constant and reduces forage uniformly on every grazing acre. It does not remove physical land or predict actual drought effects.
Choose any whole-number requirement from 1–60 acres per cow, then apply the scenario. Try 120 acres at 7 acres per cow to compare the algebraic boundary with a whole-cow limit.
Your pasture · 120 acres
Each small square = 1 acre. Numbered cows mark allocated acreage. Pale squares are still available.
The acreage footprint represents pasture required by a cow, not its body size. This area model ignores field shape and land differences within the pasture.
Interpret the solution
What is the greatest whole number of cows this pasture can support under the stated assumption?
After exploring, keep the pasture fixed and compare 2, 40, and 60 acres per cow. Why does the herd limit change? What changes in the inequality?
Ready for the next stage?
Try a separate example without the worked solution. Explain what the whole-cow answer means.
Investigate: make a drought plan
Keep total area, reserved land, and the normal acreage requirement fixed. Before applying a drought change, predict the new herd limit. Compare at least two conditions, test your prediction, then justify a decision.
| Area / reserved | Normal acres/cow | Forage loss | Your prediction | Actual maximum |
|---|
Extension: determine the greatest forage loss that still supports a chosen herd. Explain how you know, and describe what additional information a real rancher would need. Teachers review the reasoning; this activity does not automatically assign a proficiency score.
Classroom activity · No accounts or saved scores. Your lesson progress, trial records, and writing stay in this page session and reset when you reload or close it.