### Exponential ReflectionsStudents determine that the inverse of the exponential function is the natural log function by plotting the inverse of exponential solution points. | | Download8,930 |

### Exponential GrowthStudents will find an approximation for the value of the mathematical constant *e* and to apply it to exponential growth and decay problems. | | Download779 |

### Arithmetic Sequences & SeriesStudents use formulas to find the differences of the consecutive terms, plot a scatter plot of each sequence, and determine that sequences with common differences (called arithmetic sequences) have scatter plots whose points form a straight line. | | Download9,564 |

### Modeling DataStudents graph data modeling exponential and logarithmic growth and find equations representing the data. | | Download8,948 |

### Change Of BaseDiscover the change of base rule for logarithms by examining the ratio of two logarithmic functions with different bases. | | Download9,907 |

### Constructing an EllipseStudents explore two different methods for constructing an ellipse. | | Download9,365 |

### Geometric Sequences & SeriesStudents find common ratios of geometric sequences on a spreadsheet and create scatter plots of the sequences to see how each curve is related to the value of the common ratio and/or the sign of the first term of the sequence. | | Download9,041 |

### Properties of LogarithmsStudents use a combination of algebra and graphing to discover the properties of logarithms.
| | Download9,782 |

### Recursive SequencesStudents use the sequence mode of the graphing calculator to generate recursive sequences and then examine the values. | | Download8,853 |

### Sequence InvestigationStudents use the calculator to create an arithmetic sequence and explore the effect of each variable in the formula of the *n*th term of an arithmetic sequence.
| | Download8,825 |

### Sums of SequencesStudents develop formulas for the sum of arithmetic and geometric sequences and then find the sum of sequences using the formulas developed. | | Download8,167 |

### Domain & RangeStudents explore a variety of mathematical functions and real world applications of functions to understand the concepts of domain and range. | | Download9,959 |