mdm4u day 1 - mr.neave's website -...
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MDM4U Day 1 - Welcome Back !!! - Seating Plan - First Day Handouts -What you need to bring every day -Expectations – The 6 P’s - Textbook handout - Why take Data Management - Lesson #1
Technology in Math Class y Website
◦ mrneave.weebly.com y Remind101
◦ Text @mrneave to (581) 222-0634 y Twitter
◦ @mrneavemath
Supplies you Need Every Day y Students need to bring the following
items to every class! ◦ Pencil / Pen ◦ Scientific Calculator (not your phone !!) ◦ Paper ◦ Binder ◦ Textbook ◦ Ruler
Expectations – The 6 P’s y Be Prepared! (supplies / HW) y Be Productive ! (do your work) y Be Positive ! y Be Polite ! y Be Prompt ! ( on time every day) y Be Proactive ! ( Get Help, ask
questions)
Expectations – (continued) y See the student handbook y No cell phones (interfere with learning,
prevent you from succeeding) y Water only – no food or drinks y Washroom – see the student
handbook (only during seatwork)
Calculator y Scientific with factorials, permutations,
and combinations y Mrs. Robinson found some on sale at
TBS for around $4.00 y Factorials n! - exclamation mark y Permutations nPr y Combinations nCr
Why take Data Management y 4U math credit (business admin.,
nursing) y My psychology professor says she will
grade on a bell curve. What the **** does that mean !
xAND
Why take Data Management y Hannah Fashionista has 22 pairs of
shoes, 17 pairs of pants, 7 sweaters, and 14 blouses. How many outfits are possible.
y How many outfits are possible if Hannah refuses to wear the green sweater with the brown corduroys
Factorials
Key Ideas x Many counting and probability calculations involve
the product of a series of consecutive numbers such as the following:
7 x 6 x 5 x 4 x 3 x 2 x 1
x Factorial notation is a shorter way of writing the multiplication of consecutive natural numbers.
Definition x For any natural number, n,
n! = n x (n – 1) x (n – 2) x (n – 3) x ... x 3 x 2 x 1
y This expression is read as “n factorial”.
y Examples:
6 x 5 x 4 x 3 x 2 x 1 = 6! 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Calculator y If you have a scientific calculator it
will calculate factorials, but how high will it go?
y Try 69!, now 70! What do you notice?
y Therefore, we need a way of simplifying factorials in order to evaluate them.
Examples y Evaluate
a) b)
6!4!
120!117!
Examples c) d)
182!180!
3!4!
Examples e) f) g)
� �� �
1 !1 !
nn��
10!4!12!
� �� �2 !2 1 !nn �
Express as a factorial a) b) c)
40 39 38 37u u u
100 99 98 9730 29 28x x xx x
14 13 12!u u
Homework y Pg. 239 #1,2,7