Transcript Polynomials & Factoring Tic-Tack

Polynomials and Factoring
Created by M. LaSpina
April 1, 2016
Mathematicians
Archimedes – one of the greatest mathematicians of all time for his work
in geometry and integral calculus
Sofia Kovalevskaya – contributions to the theory of differential equations
Lady Lovelace – worked with the analytic engine and how it could be
programmed
Rene Descartes – his application of algebra to geometry developed the
study of Cartesian geometry
Albert Einstein - contributed more than any other scientist to the modern
vision of physical reality
Pythagoras - was a Greek philosopher who made important
developments in mathematics, astronomy, and the theory of music
Blaise Pascal – French mathematician who developed the foundation for
the theory of probability
Florence Nightingale – her love of statistics proved invaluable to her
work as a nurse
Euclid - the leading mathematics teacher of the historic period preceding
the Middle Ages in Europe
Game board
1
Archimedes
Sofia Kovalevskaya
Lady Lovelace
Descartes
Einstein
Pythagoras
Pascal
Florence Nightingale
Euclid
RESET
Archimedes’ Question
What is the area of the rectangle?
2
3a b
2 2
4a b
Response
Archimedes’ Response
4 3
12a b
Agree
Disagree
Sofia’s Question
When do you use
positive exponents in
scientific notation?
Response
Sofia’s Response
When the number is
less than 1.
Agree
Disagree
Lady Lovelace’s Question
Is the following expression a
polynomial?
7
y
x  x 2
4
x
3
Response
Lady Lovelace’s Response
It is not a polynomial because
y over x squared is not a
monomial.
Agree
Disagree
Descartes Question
How do you check your
answer when you subtract
two polynomials?
Response
Descartes Response
You multiply your answer
with the polynomial
being subtracted.
Agree
Disagree
Einstein’s Question
Name the property used
to simplify
3x  5 x  2 y  4 z
2
Response
2

Einstein’s Response
The distributive
property.
Agree
Disagree
Pythagoras’ Question
Explain how the square of
a difference and the
square of a sum are
different.
Response
Pythagoras’ Response
The middle terms have
different signs.
Agree
Disagree
Pascal’s Question
If the GCF of two
numbers is 1, must the
numbers be prime?
Response
Pascal’s Response
No, the GCF of 4 and 9 is 1,
but neither number is
prime.
Agree
Disagree
Florence’s Question
Do the numbers 11, 12
and 13 form a
Pythagorean triple?
Response
Florence’s Response
Yes, because 11 + 12 + 13 =
36 and the square root of 36
is the whole number 6.
Agree
Disagree
Euclid’s Question
Describe the relationship
between multiplying
polynomials and factoring
polynomials.
Response
Euclid’s Response
Multiplying and factoring
polynomials are inverse
operations.
Agree
Disagree
You Are Correct
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You Are Not Correct
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