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. 

 

                                                     Zipped Folder of Resource FilesCh 1 Files Zip                      TI Nspire File   TI Nspire Files Preview and Download    


 

Chapter 1 Sequnces and Series Outline

1. Seq and Series Review

Ch 1 Concept Review (new)

Powerpoint Lesson Plans    

 

Digital Resources to Support Visualization and Differentiate Instruction  

Description or Discussion

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  PowerPoint Lesson  1.1A Arithmetic Sequences  

 PowerPoint Lesson 1.1B Arithmetic Sequences

Smart Notebook File   1.1A The Golden Spiral 

Formative Assessment

Smart Notebook File   Sorting Sequences

Formative Assessment

TI Nspire File Arithmetic Sequences Review.tns

 The Seven Mathematical Processes

[C, R, T, V]

TI Nspire FileInvestigating the Graph of an Arithmetic Sequence

Mathematica File  Arithmetic Sequences

 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.

PowerPoint Lesson 1.2 Arithmetic Series

Mathematica File  Arithmetic Series.cdf

gif video File  arithser.gif

 The Arithmetic series cdf file worked nicely to review at the end of the lesson.

PowerPoint Lesson1.3A Geometric Sequences

PowerPoint Lesson1.3B Geometric Sequences

 The Seven Mathematical Processes

[C, R, T, V]

TI Nspire File 1.3A Graph of a Geometric Sequence

 Formative Assessment

TI Nspire File 1.3B Geometric Sequences Review

mp4 Video File  

GSP File   Bounce Ball.gsp

 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.

PowerPoint Lesson1.4 Geometric Series

 The Seven Mathematical Processes

[C,CN,V]

Mathematica File Fractal Curves.cdf

GSP File Ball Bounce Discrete

 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.

PowerPoint Lesson1.5 Infinite Geometric Series

 The Seven Mathematical Processes

[C,R,T,V]

TI Nspire File 1.5 The Effect of r on the Sum

 The Seven Mathematical Processes

[C,R,T,V]

TI Nspire File Sum of Infinite Geometric Series

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.

 

 

Last modified: Friday, 22 March 2013, 6:17 PM