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- Grade Range
- 5th - 8th
- Rating
Students identify, distinguish between, explain, and extend simple arithmetic and geometric series. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They write out the series of areas to discover a pattern. Assuming the pattern were indefinite, students find the sum. Full Review »
- Grade Range
- 10th - 12th
- Rating
Students use definitions of arithmetic and geometric sequence to create their own sequences. They graph the numbers in the sequence vs. the number of the term of the sequence, describe the difference in the two graphs, and relate it to linear and exponential graphs. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students engage in a lesson about the concept of sequencing. They use a variety of resources for help with the concept that includes sample problems. Students invent formuals to be used while attempting to solve arithmetic sequences. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students investigate a sequence of numbers and a series using the operation of arithmetic. They practice solving problems that have arithmetic sequences and patterns are identified. Students read an article from the internet with a website given in the lesson. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students examine different sequences of numbers in order to make cognitive connections with geometric sequences. They identify arithmetic and geometric sequences and then read articles from the Math Forum at Drexel University. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students investigate the concept of infinite geometric series and demonstrate how to use them to solve a problem. They also find the sum of a geometric series for practice and identify a sequence. Students also read an internet article to complete research. Full Review »
- Grade Range
- 10th
- Rating
Students compare and contrast an arithmetic series and a geometric series through the construction of arithmetic and geometric means. They observe the computation method and receive step by step instruction of the geometric mean. Students may compose their own series and give it a visual representation. Full Review »
- Grade Range
- 10th - 12th
- Rating
Students practice how to find the sum of the first n terms of the related series. Students use formulas to find the differences of consecutive terms. They create a scatter plot of each sequence and discover that sequences with common differences have scatter plots that form form a straight line. Full Review »
- Grade Range
- 10th - 12th
- Rating
Students practice using a spreadsheet to write an explicit formula that displays the first n terms of a sequence and how to find the sum of the first n terms of a related series. Students worksheets are included with this lesson. Full Review »
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