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Illustrative Mathematics

Identifying Graphs of Functions

For Teachers 8th - 12th Standards
Match the graph with its function in an exercise that focuses on variations of the graph of y = e^x. Learners are given four graphs on the same set of axes and four functions, all involving e^x. The task is to match each...
Assessment
Illustrative Mathematics

Modeling London's Population

For Students 9th - 12th Standards
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
Worksheet
Curated OER

Graphing Functions

For Students 9th - 12th
In this graphing functions worksheet, students write functions in logarithmic and exponential forms.  They evaluate logarithms and determine the inverse of a function.  Students graph functions.  This six-page worksheet...
Worksheet
Curated OER

Population Models and Qualitative Analysis, Part 2

For Students Higher Ed
In this population model instructional activity, students explore models of population growth using the Gompertz growth model and the exponential growth model. They sketch a graph of the slope function and determine possible solutions...
Lesson Plan
Curated OER

Population: Logistically Speaking

For Teachers Higher Ed
For this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...