Revised lesson plan 1
Paramvir Singh
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LESSON
PLAN 1
Sum
of the arithmetic Series
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Mathematics
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EDCP 342A
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Date : February 4, 2017
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Room 1213
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Topic/learning
objectives:
After completing this lesson students will
know the history of sum of the arithmetic series and their inventors. They will
also know about the origin of the formulas which we often use in sequences and series.
Resources: Textbook Pre -Calculus 11,
HOOK
Could
you find the sum of the first 10 natural numbers, without using calculator?
How
about 20?
·
The students will actively try to find the sum of first 10 natural
numbers and will match the answer with others.
·
Then they will find the sum of next ten numbers to get the sum of
first 20 natural numbers
·
What would happen if add 100 numbers or n numbers?
Lesson
content/activities:
·
Teacher will
tell the story of Gauss that how quickly Gauss found the sum when his teacher
challenged the whole class. He was just ten years old then, when he responded
with the correct answer.
·
Whole class will
listen the interesting story of Gauss carefully.
·
Teacher will
explain the strategy on the white board by writing in ascending and
descending order as Gauss used to find the sum of first 100 natural number.
Teacher will divide the whole class
into six small groups and will ask them to use their devices to research
about the sum of the arithmetic series and mathematicians behind it. Teacher will assign them six different
topics like facts about the life of Gauss, contribution in sequence and
series, contribution in other fields, sum formula and how it works, other
mathematicians who contributed in Arithmetic Series.
·
Students will
search on internet and come with interesting facts and data about
mathematicians.
·
Whenever
students are working in groups, the teacher will move around the small groups
and will observe their interactions.
·
After collecting
information, then each group will give brief presentation for 3 minutes of
their findings and sources
·
The teacher will
invite all students to solve four mathematical problems on the board based on
Gauss’s formula: n(n+1) ÷2.
·
Students will
individually work on some real-world problems which can be evaluated by using
Gauss’s formula.
·
The teacher will
briefly summarize the sum of arithmetic series and will show them a video
clip related with the topic.
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Time
10 minutes
5
Minutes
20 Minutes
18
12
10
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Homework/assessment
They
will solve some questions of Arithmetic series at home. Teacher will give them
some questions to find the sum with the ascending and descending order, as
Gauss did at the age 10. That will be asked in the class test.
Learning outcomes
All pupils
will listen carefully and participate actively and they will get some knowledge
of the history of arithmetic series and their inventors.
Most pupils
should understand the arithmetic interpretations of formulas
Some pupils
may try to know more about the history of further topics and would share with
their classmates.
Comments/evaluation
Teacher
will ask general questions about the life of Gauss and his contributions. It
will help him to know about the understanding of topic discussed in the class
This is looking much better, Paramvir. You have planned for students to have a much more active learning role in the class, and have integrated the math history component into the lesson.
ReplyDeleteI suggest that, rather than spending 20 minutes looking up 'facts' about Gauss on their phones, the students might experiment with Gauss' approach to summing an arithmetic series, and even simplifying/ deriving the compact formula n(n+1)/2 (WITHOUT using the internet to look it up!) They could experiment with the sums of different arithmetic series of their own choosing, including series that don't start at 1, series with d not equal to 1, etc. That would get them more deeply involved with the mathematics itself, rather than with a few 'factoids' that they might soon forget.
Perhaps 5 minutes to look up Gauss' life online would be enough for starters?