MAED 314A – Arithmetic Sequence Microteaching

Bridge:

3, 7, 11, 15, 19, 23, 27…..

Does anyone know what is the 100th or 1000th term of this sequence?

If you don’t know, don’t worry about it. After this lesson, you all will be able to find the 100th and 1000th terms of this sequence. Actually…you can find any term you want to!

There are different types of sequences: geometric, arithmetic and other sequences. In our lesson, we will focus on arithmetic sequence.

Definition: An arithmetic sequence is a sequence where each term is formed from the preceding term by adding a constant (positive or negative)

Learning Objectives:

-Students will be able to calculate and predict terms in an arithmetic sequence where the first term and common difference are known

-Students will be able to calculate and predict terms in an arithmetic sequence where only one of the first term or common difference is known

-Students will be able to write an expression to represent general terms for an arithmetic sequence and be able to apply these expressions to solve problems

Teaching Objectives:

-To teach the students to predict and calculate the terms and common difference in an arithmetic sequence

-To engage students in classroom discussions of arithmetic sequence

-To guide students to formulate an expression for calculating the terms and common difference in an arithmetic sequence

Pre-test:

These questions will be asked during the bridge phase:

-Does anyone know much about arithmetic sequence?

Can anyone predict the 100th or 1000th term in the sequence?

Participation:

-Students will be encouraged to participate in class discussions and/or answer questions posed by the teacher

Post—test:

-Students will be asked to solve a challenge problem which will test them on the material just covered

Summary:

In this lesson, we taught students to write an expression for arithmetic sequence. After this lesson, students will be able to find the common difference and any term in an arithmetic sequence. However, there is more to that. Next class, we will focus on the case of calculating and predicting terms in an arithmetic sequence where both the first term and common difference are unknown. In the class after, we will introduce arithmetic series, which is the sum of a sequence. And in the near future, we will also introduce other types of sequence, such as geometric sequences.

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