Blackdog Media
Classic Reader: Green Tea by Joseph Sheridan Le Fanu
This is the full text of the novel Green Tea by Joseph Sheridan Le Fanu, an Irish writer of Gothic tales, mystery novels, and horror fiction. A drink opens the inner eye of the protagonist. What follows is a mind-boggling tale of...
Illustrative Mathematics
Illustrative Mathematics: F Le Boiling Water
Students are shown two tables of data showing the approximate boiling point of water at different elevations. Both data sets can be modeled by linear functions but with different slopes. When the tables are combined, however, students...
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Kiss
The purpose of this task is to use technology to study the behavior of some exponential and logarithmic graphs and to manipulate some explicit logarithmic and exponential expressions. Aligns with HSF-LE.A.4, F-BF.B.5, and F-IF.C.7.e.
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Determine an Exponential Function?
In this task, young scholars investigate whether exponential functions will always be determined by two points. It complements the task "Do two points always determine a linear function?" Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le.4 Graphene
This task provides a real-world context for examining the power of exponential growth and decay. Learners experiment, at the macro level, using scotch tape to pull a chip of graphite apart into two pieces. They are asked to find about...
Illustrative Mathematics
Illustrative Mathematics: F Le a Valuable Quarter
The context of this task is that a quarter was put into a bank account in 1901 and students are asked to calculate its value in 2013 at two different interest rates. Those amounts are compared to the appreciation rate of a rare and...
Illustrative Mathematics
Illustrative Mathematics: F Le in the Billions and Exponential Modeling
For this task, students examine world population data from 1804 to 2012 and investigate whether an exponential function is appropriate for modeling the relationship between the world population and the year. Aligns with F-LE.A.1.c.
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating, Variation 2
In this task on exponential decay, students calculate what the amount of Carbon 14 left in a preserved plant will be as time passes and when one microgram will be all that is left. Aligns with F-LE.A.1.c.
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating in Practice I
In this task, students learn about exponential decay by examining the amount of Carbon-14 left in a preserved plant with the passage of time after the plant has died. This provides a simple introduction to Carbon-14 dating but the actual...
Illustrative Mathematics
Illustrative Mathematics: F Le Us Population 1790 1860
In this task, students are shown a table of U.S. population data between 1790 and 1860 and are asked to explore whether exponential functions would be appropriate to model relationships within the data. The purpose of the task is to help...
Illustrative Mathematics
Illustrative Mathematics: F Le Equal Differences Over Equal Intervals 1
In this task, students prove that linear functions grow by equal differences over equal intervals, and notice that in this case, the equal differences have the same value as the slope. Aligns with F-LE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: F Le Sandia Aerial Tram
For this task, students examine data on the elevation and the minutes into a ride for a tram that is traveling up a mountain and write an equation for the function that models the relationship between the two variables. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: F Le Taxi!
In this task, students explore the linear relationship between distance traveled and taxi fare cost. Aligns with A-REI.D.10 and F-LE.B.5.
Illustrative Mathematics
Illustrative Mathematics: F Le in the Billions and Linear Modeling
In this task, students are shown a table of world population data and asked to explore whether linear functions would be appropriate to model relationships within the data. Aligns with F-LE.A.1.b.
Illustrative Mathematics
Illustrative Mathematics: F Le Bacteria Populations
This task provides a real-world context for interpreting and solving exponential equations. Students are asked to examine the equations representing the growth of three colonies of the bacterium that causes pneumonia, each colony being...
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating
The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating. Aligns with F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth Ii
In this task, students compare exponential and linear functions and find that exponential functions with a base larger than one eventually exceed in value any given linear (or polynomial) function if the value of the input is...
Illustrative Mathematics
Illustrative Mathematics: F Le a Saturating Exponential
For this problem, students use an exponential equation to investigate the warming up of a cold beverage on a summer day and analyze a graph to estimate temperatures. Aligns with F-LE.B.5 and F-BF.B.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Polynomial Growth
In this problem, students compare the growth of exponential functions versus polynomial functions and find that an exponential function takes larger values than a cubic polynomial function provided the input is sufficiently large. Aligns...
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth I
In this task, young scholars analyze two methods of payment to discover how an exponentially increasing quantity eventually surpasses a linearly increasing quantity. Aligns with F-LE.A.3.
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Always Determine a Linear Function?
For this task, students explore linear functions and whether they can always be determined by two points on the coordinate grid. It focuses on producing an explicit function f(x) in the case where the line is not vertical. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: F Le Equal Factors Over Equal Intervals
For this task, students investigate the changes that take place in the values of a function to determine that exponential functions grow by equal factors over equal intervals. Aligns with F-LE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: F Le Equal Differences Over Equal Intervals 2
For this task, learners investigate the changes that take place in the values of a function to determine that linear functions grow by equal differences over equal intervals. Aligns with F-LE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: F Le Linear Functions
In this problem, students are presented with the equations of two linear functions and their intersecting graphs. They are asked to label the graphs and compute values for several points on the graphs. Aligns with F-LE.A.1.b.
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