This is Part 2 of 3
(2 hour training session)
(1) Approximate the square root using the Classical
Approach of Mathematics
(2) Solve real world problems using Pythagorean’s
Theorem and a calculator
(3) Discuss the pros and cons about students using
calculators in the middle school classroom.
(Use references)
(4) Formulate your philosophy about using
calculators in the middle school classroom.
Please take the
Pedagogy Pretest
Pedagogy Pretest for Block 14.docx
Restating the Next Generation
Sunshine State Standards
Subject Area: Mathematics
Grade Level:
Supporting
Idea/
Big Ideas:
Benchmark:
MA. 8 .A. 6. 2
MA. 8. A. 6. 2
Make reasonable approximations of square
roots and mathematical expressions that
include square roots, and use them to
estimate solutions to problems and to
compare mathematical expressions involving
real number s and radical expressions.
Approximate the Square Root
using the Classical Approach
of Mathematics
Click on the black area to play movie.
Approximate 85
to at least 2
decimal places.
85  9.21954
Approximate 21
To at least 2
decimal places.
21  4.582576
http://math.about.com/od/pythagorean/ss/pythag_2.htm
a² + b² = c²
(90)² + (90)² = c²
8100 + 8100 = c²
c ≈ 127.28 feet
http://math.about.com/od/pythagorean/ss/pythag_2.htm
How far east
of Santa Fe
is Austin?
a² + b² = c²
(400)² + b² = (700)²
160,000 + b² = 490,000
b² = 330,000
b ≈ 574.46 miles
With a partner and a calculator, try this
activity which was found online at
http://www.ms.uky.edu/algebracubed/lessons/PythagoreanTheorem.pdf
Block 14 City to City Adaption.pdf
Think about how you might use this
activity in your classroom.
What does the Literature Say?
Imagine you are a part of the mathematics
department at “Teach Write Middle School.”
As a group, you must decide to what
degree you will be using technology in your
classroom for both budgetary and
academic reasons.
The principal needs an answer to this
question by tomorrow noon.
1) less than 5% of the time
2) about 50% of the time, or
3) more that 95% of the time.
http://www.stroke.org.uk/images/hi_res/1576_question-mark.jpg
To decide quickly (in the next 45 minutes),
your department chairperson has decided that
you should split up into two groups; The Pro
Group and The Con Group so that you can
review and consider the literature. The
department chairperson has already found
seven articles on-line to be read and
reviewed.
Half the faculty in the Pro Group and the Con
Group will be writers and the other half will be
speakers.
Pro Group
Con Group
Writer 1 and Speaker 1
Writer 2 and Speaker 2
Writer 3 and Speaker 3
Writer 4 and Speaker 4
and so on
Writer 1 and Speaker 1
Writer 2 and Speaker 2
Writer 3 and Speaker 3
Writer 4 and Speaker 4
and so on
After reading one article, Writer 1 will develop a 30 second defense for
Speaker 1 to read. Writer 2 will develop a 30 second defense for Speaker
2 to read and so on.
Dear Colleagues ~
My partner and I have chosen to vote to use technology
Choose one
less than 5% of the time
about 50% of the time
More than 95% of the time
We base our decision on both experience and what the literature
says.
For example, (State what literature says)________________________
_______________________________________________________________
We hope that you have the same position as we do.
Teach Write Middle School
Ballot
Teacher’s Name ___________________________
Date _______________
I believe that we should be using technology at this middle school
____Less than 5% of the time
____About 50% of the time
____Over 95% of the time
Comments:______________________________________________________
_______________________________________________________________
(1) Approximate the square root using the Classical
Approach of Mathematics
(2) Solve real world problems using Pythagorean’s
Theorem and a calculator
(3) Discuss the pros and cons about students using
calculators in the middle school classroom.
(Use references)
(4) Formulate your philosophy about using
calculators in the middle school classroom.