This problem introduces the method used by scientists to date certain organic …
This problem introduces the method used by scientists to date certain organic material. It is based not on the amount of the Carbon 14 isotope remaining in the sample but rather on the ratio of Carbon 14 to Carbon 12. This ratio decreases, hypothetically, at a constant exponential rate as soon as the organic material has ceased to absorb Carbon 14, that is, as soon as it dies. This problem is intended for instructional purposes only. It provides an interesting and important example of mathematical modeling with an exponential function.
This exploratory task requires the student to use a property of exponential …
This exploratory task requires the student to use a property of exponential functions in order to estimate how much Carbon 14 remains in a preserved plant after different amounts of time.
Lead the new generation of curious explorers! Create a well-rounded education with …
Lead the new generation of curious explorers!
Create a well-rounded education with free lessons, activities, games and more! From social studies to world languages to SEL, Carmen Sandiego inspires curiosity in every subject.
Lead students through over 100 classroom activities inspired by the new Netflix series.
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In this task, students can see that if the price level increases …
In this task, students can see that if the price level increases and peopleŐs incomes do not increase, they arenŐt able to purchase as many goods and services; in other words, their purchasing power decreases.
This task presents a real-world problem requiring the students to write linear …
This task presents a real-world problem requiring the students to write linear equations to model different cell phone plans. Looking at the graphs of the lines in the context of the cell phone plans allows the students to connect the meaning of the intersection points of two lines with the simultaneous solution of two linear equations.
This simple task assesses whether students can interpret function notation. The four …
This simple task assesses whether students can interpret function notation. The four parts of the task provide a logical progression of exercises for advancing understanding of function notation and how to interpret it in terms of a given context.
An interactive applet and associated web page that the definition of the …
An interactive applet and associated web page that the definition of the center of a regular polygon. The applet presents a regular polygon, where the user can drag any vertex to resize it, and change the number of sides. The center point is shown to always be the point equidistant from every vertex. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
The purpose of this task is to use geometric and algebraic reasoning …
The purpose of this task is to use geometric and algebraic reasoning to model a real-life scenario. In particular, students are in several places (implicitly or explicitly) to reason as to when making approximations is reasonable and when to round, when to use equalities vs. inequalities, and the choice of units to work with (e.g., mm vs. cm).
An interactive applet and associated web page that define and illustrate the …
An interactive applet and associated web page that define and illustrate the central angle of a polygon. The applet shows the angle and users can experiment by changing the number of sides and resizing the polygon. The web page has a description and a formula for the central angle given the number of sides. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
An interactive applet and associated web page that demonstrate the central angle …
An interactive applet and associated web page that demonstrate the central angle of a circle - the angle subtended at the center by two points ion the circle. The applet presents a circle with two points on it that can be dragged. The central angle is shown changing as you drag. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
This video talka about what is easily one of the most fundamental …
This video talka about what is easily one of the most fundamental and profound concepts in statistics and maybe in all of mathematics. And that's the central limit theorem.
This short video and interactive assessment activity is designed to teach fourth …
This short video and interactive assessment activity is designed to teach fourth graders about challenge problems - four operations with single units (metric capacities) - word problems.
Students are introduced to the "Walk the Line" challenge question. They write …
Students are introduced to the "Walk the Line" challenge question. They write journal responses to the question and brainstorm what information they need to answer the question. Ideas are shared with the class (or in pairs and then to the class, if class size is large). Then students read an interview with an engineer to gain a professional perspective on linear data sets and best-fit lines. Students brainstorm for additional ideas and add them to the list. With the teacher's guidance, students organize the ideas into logical categories of needed knowledge.
Demonstrate an understanding of irrational numbers in both radical (including mixed radical) …
Demonstrate an understanding of irrational numbers in both radical (including mixed radical) and exponent forms through: representing: identifying: simplifying: ordering: relating to rational numbers: applying exponent laws.
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