**Title:** Analyze the Data

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use rational functions to investigate the feeding behavior of Northwestern Crows. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. By analyzing a data set, students investigate and create a model for the relationship between the height of the drop and the number of drops.
**Standard(s): **

[MA2015] PRE (9-12) 18: c. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. [F-IF7d]

**Subject:**Mathematics,Science

**Title:**Analyze the Data

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use rational functions to investigate the feeding behavior of Northwestern Crows. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. By analyzing a data set, students investigate and create a model for the relationship between the height of the drop and the number of drops.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Work to a Conclusion

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use rational functions to investigate the feeding behavior of Northwestern Crows. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students develop a model for finding out between what heights the amount of work is the smallest. Students then use an interactive applet (or their own graphing calculator) to explore the rational functions related to this investigation and to find the height corresponding to the minimum work.
**Standard(s): **

[MA2015] PRE (9-12) 18: c. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. [F-IF7d]

**Subject:**Mathematics,Science

**Title:**Work to a Conclusion

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use rational functions to investigate the feeding behavior of Northwestern Crows. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students develop a model for finding out between what heights the amount of work is the smallest. Students then use an interactive applet (or their own graphing calculator) to explore the rational functions related to this investigation and to find the height corresponding to the minimum work.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Light It Up! Activity Sheet

**Description:**
This reproducible activity sheet, from an Illuminations lesson, describes the game '' Light It Up,'' the object of which is to slide a laser pointer so that when the beam is reflected off a mirror, it hits a target that is 1 m off the ground. This activity sheet provides background information about the game along with activities that enhance understanding of rational functions, which is needed in order to correctly position the laser pointer.
**Standard(s): **

[MA2015] PRE (9-12) 18: c. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. [F-IF7d]

**Subject:**Mathematics

**Title:**Light It Up! Activity Sheet

**Description:**This reproducible activity sheet, from an Illuminations lesson, describes the game '' Light It Up,'' the object of which is to slide a laser pointer so that when the beam is reflected off a mirror, it hits a target that is 1 m off the ground. This activity sheet provides background information about the game along with activities that enhance understanding of rational functions, which is needed in order to correctly position the laser pointer.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Whelk-Come to Mathematics

**Description:**
In this four-lesson unit, from Illuminations, students make a conjecture, conduct an experiment, analyze data and work to a conclusion using rational functions to investigate the behavior of Northwestern Crows. Sea gulls and crows feed on various types of mollusks by lifting them into the air and dropping them onto a rock to break open their shells. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students investigate the relationship between the height of the drop and the number of drops.
**Standard(s): **

[MA2015] AM1 (9-12) 12: Calculate the limit of a sequence, of a function, and of an infinite series. (Alabama)

**Subject:**Mathematics,Science

**Title:**Whelk-Come to Mathematics

**Description:**In this four-lesson unit, from Illuminations, students make a conjecture, conduct an experiment, analyze data and work to a conclusion using rational functions to investigate the behavior of Northwestern Crows. Sea gulls and crows feed on various types of mollusks by lifting them into the air and dropping them onto a rock to break open their shells. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students investigate the relationship between the height of the drop and the number of drops.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Northwestern Crows

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use rational functions to investigate the feeding behavior of Northwestern Crows. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students investigate the relationship between the height of the drop and the number of drops by viewing a video clip; then, they plan a classroom experiment to model the dropping of whelks in order to collect and analyze data.
**Standard(s): **

[MA2015] PRE (9-12) 50: (+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. [S-MD1]

**Subject:**Mathematics,Science

**Title:**Northwestern Crows

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use rational functions to investigate the feeding behavior of Northwestern Crows. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students investigate the relationship between the height of the drop and the number of drops by viewing a video clip; then, they plan a classroom experiment to model the dropping of whelks in order to collect and analyze data.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Conduct an Experiment

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use rational functions to investigate the feeding behavior of Northwestern Crows. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students investigate whether the crows minimize their work by dropping whelks as they do. The amount of work depends upon the height of the drop and the number of times the crow has to fly to this height. To answer the question, students explore the relationship between the height of the drop and the number of drops needed.
**Standard(s): **

[MA2015] AM1 (9-12) 12: Calculate the limit of a sequence, of a function, and of an infinite series. (Alabama)

**Subject:**Mathematics,Science

**Title:**Conduct an Experiment

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use rational functions to investigate the feeding behavior of Northwestern Crows. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students investigate whether the crows minimize their work by dropping whelks as they do. The amount of work depends upon the height of the drop and the number of times the crow has to fly to this height. To answer the question, students explore the relationship between the height of the drop and the number of drops needed.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12