Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data better, hints to a much deeper exploration of growth models for those students with a strong desire to explore further. As learners work through the exercise they will find expression for the modeling function P is relatively simple.

Additional Tags

math

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Pros

• Very detailed description of the solutions
• Helpful teacher commentary

Cons

• The function is named Q(t) on the graph but is referred to everywhere else as P(t).

Common Core

HSF-IF.B.4