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.4 Graphene
This task provides a real-world context for examining the power of exponential growth and decay. Students 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 Carbon 14 Dating in Practice Ii
This problem introduces Carbon 14 dating which is used by scientists to date certain organic material. This version is based on the ratio of Carbon 14 to Carbon 12, which decreases at a constant exponential rate after an organism dies....
Illustrative Mathematics
Illustrative Mathematics: F Le Newton's Law of Cooling
For this problem, students use an exponential equation to investigate the cooling of a cup of coffee and how long it would take for it to cool down to different temperatures. Aligns with F-LE.B.5 and F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: F Le Snail Invasion
In this task, students investigate the power of exponential growth in this real-world example of an invasive species that was introduced to Florida in 1966, a giant snail. Aligns with F-LE.A.2 and F-LE.A.4.
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 Algae Blooms
This problem examines the growth of algal blooms in Chesapeake Bay. Students build an exponential function modeling algae concentration based on the information provided, and gain an appreciation for the exponential growth exhibited...
Illustrative Mathematics
Illustrative Mathematics: N q.a.3 and F le.a.4: Accuracy of Carbon 14 Dating Ii
This task is a refinement of "Carbon 14 dating" which focuses on accuracy. Aligns with N-Q.A.3 and F-LE.A.4.
Khan Academy
Khan Academy: Algebra Ii: Evaluate Logarithms: Change of Base Rule
Evaluate any logarithm in a calculator with the use of the change of base formula. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra Ii: Solve Exponential Equations Using Logarithms
Solve exponential equations that have 2 or other numbers at the base of the exponential term. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra Ii: Exponential Model Word Problems
Solve word problems about exponential situations. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Solve Exponential Equations Using Logarithms: Base 10 and Base E
Solve exponential equations that have 10 or e at the base of the exponential term. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.