1. Sequences and Series
Lesson Plans and Interactive Resources for 1.Arithmetic Sequences and Series
The McGraw-Hill Ryerson PreCalculus 11 Text is used as the Main Resource.
Assignments in the Powerpoint Lesson Plans refer to pages and questions in the PreCalculus text.
Ch 1 Files Zip 
TI Nspire Files Preview and Download
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Chapter 1 Sequnces and Series Outline Ch 1 Concept Review (new) |
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Powerpoint Lesson Plans
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Digital Resources to Support Visualization and Differentiate Instruction |
Description or Discussion .................................................................................. |
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Formative Assessment Formative Assessment
The Seven Mathematical Processes [C, R, T, V] |
In the Sorting Sequences activity, it is important for students to create their own rule for sorting the sequences. The intention is to focus on any rule for sorting and have students describe the rule. Many students in my class sorted according to the arithmetic sequence rule without knowing the formal definition. It is important to discuss other sorting rules and them move toward the concept of arithmetic sequences. The intention of the activites is to introduce students to different ways of learning and hopefully to engage students and have some fun. |
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 1.2 Arithmetic Series |
The Arithmetic series cdf file worked nicely to review at the end of the lesson. |
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The Seven Mathematical Processes [C, R, T, V]
Formative Assessment
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The TI Nspire files give a nice visual for comparing arithmetic and geometric sequences. Students were able to explain the differences in shape of the graphs and compared discrete and continuous. |
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| 1.4 Geometric Series |
The Seven Mathematical Processes [C,CN,V] |
During this lesson we practiced problem solving techniques. For the problem on page 1.4.6 of the ppt lesson,students were randomly placed in groups and without further instruction need to solve the problem. They had not been given any other instruction. Students were successful until they simplified to the exponential equation. Students had to create a strategy to solve the exponential equation (-2)9 = (-2)n. At first the students resisted and wanted me to give them a method. Eventually they realized they could use their calculator to determine n = 9. Quess and check is an acceptable method as outlined by Alberta Education in this case. |
| 1.5 Infinite Geometric Series |
The Seven Mathematical Processes [C,R,T,V]
The Seven Mathematical Processes [C,R,T,V] |
The TI Nspire files worked very well with giving students a visual representation of diverging and converging series. Students were able to make the connection that if a geometric sequence grew to infinity there would not be a sum. The graphs of geometric sequences when r was negative also gave a very nice visual representation. |
