mdm4u day 1 - mr.neave's website -...

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