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I've "mathed" enough today

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Interactive and individual math review

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If you're having math problems I feel bad little one, I got 99 problems including this one.

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If you're having math problems I feel bad little one, I got 99 problems including this one.

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See what I did there. It's a review.

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How much attention have you been paying to your Math 7 vocabulary?

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Fun with Probabilities

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When you gather data from observations during an experiment, you will be calculating an empirical (or experimental) probability.

The empirical (or experimental) probability of an event is an "estimate" that an event will occur based upon how often the event occurred after collecting data from an experiment in a large number of trials. This type of probability is based upon direct observations. Each observation in an experiment is called a trial.

Example: A survey was conducted to determine students' favorite brands of sneakers.

Each student chose only one brand from the list of brands A, B, C, D, or E.
What is the probability that a student's favorite sneaker was brand D?

Answer: There were 12 + 15 + 24 + 26 + 13 = 90 "trials" in this experiment (each student's response was a trial).

26 out of the 90 students chose brand D.
The probability is :

With theoretical probability, you do not actually conduct an experiment. Instead, you use what you know about the situation to determine the probability of an event occurring. You may use your reasoning skills or an existing formula to arrive at your answer.

The theoretical probability of an event occurring is an "expected" probability based upon knowledge of the situation. It is the number of favorable outcomes to the number of possible outcomes.

Example:
Find the probability of rolling a 6 on a fair die.

Answer: No experiment is needed. There are 6 possible outcomes when rolling a die: 1, 2, 3, 4, 5, and 6.
The only favorable outcome is rolling a 6.

The probability is :

Under the best circumstances, we would expect to roll one 6 out of every 6 rolls.

Comparing Empirical (Experimental) and Theoretical Probabilities

In an experiment, two dice are rolled 50 times and the sum of the faces are recorded in a chart, as shown at the right.
1) What is the empirical probability of rolling an 8?
2) What is the theoretical probability of rolling an 8?
3) How do the empirical and theoretical probabilities compare?

4,6,4,8,10,8,6,11,9,2
3,6,12,5,6,8,4,8,7,11
5,2,8,3,9,4,10,3,5,3
7,8,3,11,6,4,8,3,6,4
11,9,7,8,5,9,3,6,7,4,

Solution:
1) Empirical (experimental) probability is the probability observed in the chart above. The 8 was rolled 8 times out of 50 rolls. The empirical probability = 8/50 = 16%. theoretical probability = 5/36 ≈ 13.9%.
2) Theoretical probability is based upon what is expected when rolling two dice, as seen in the "sum" table at the right. The theoretical probability of rolling an 8 is 5 times out of 36 rolls. The
3) The experiment rolled more 8's than would be expected theoretically. Theoretically, you would expect to roll an 8 approximately 6.9 times.
5/36 = x/50 and x ≈ 6.9 times

Empirical (experimental) probability approaches theoretical probability
when the number of trials is extremely large.

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Terms of Use".

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Empirical vs Theoretical Probability - MathBitsNotebook(Geo - CCSS Math)

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When you gather data from observations during an experiment, you will be calculating an empirical (or experimental) probability. The empirical (or experimental) probability of an event is an "estimate" that an event will occur based upon how often the event occurred after collecting data from an experiment in a large number of trials.

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i love billie eilish also have a great weekend yall!

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i love billie eilish also have a great weekend yall!

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Tia :)

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i am going to do two baseball games its my 2nd game back

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i loveee Ne-yo and
my padlet is working :)

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I have a dance competition this saturday Its going to be Lit and Pj howard is the host

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Clark fun never ends.

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I'm going to Ciana's dance competition this weekend!

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Hey, Block 5! I'm here and my Padlet works!!!!!

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I love Adam Levine!
Also, my Padlet is working now!

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Padlet works on my computer now!

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My Padlet is working now!!!

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Nobody:
Ms.diggs: nahh try again

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J.H

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ms diggs is cool cuz she nice and funny u to ms.clark even tho u not a teacher u are one to me

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Jaeden.H

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For Ms Clark And Ms Diggs
I happy that you my teacher I enjoy each lesson you teach To dream and work and to reach Ms Digg is like a cute little puppy and Ms Clark is a fluffy cat..😃 I not like homework I like to chill and relax and eat snacks and I know Ms Diggs love snacks

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My favorite teacher Mrs.diggs because math is my favorite subject and she is nice and fun

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My fav teacher is Ms. McEachin because reading is my favorite subject and i feel like reading is more understandable

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I used to hate math but Miss.Diggs made me love doing math, She makes it so much easier to do and understand.#CoolestTeacherEVER #FavoriteTeacher

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i really like ms diggs she is really nice she the best teacher i love her and ms clark she is cool i like her to but i think ms diggs is better then her but sorry ms clark

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All Because they are helpful and they Are encouraging especially  when they are teaching

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My favorite teacher was my 4th grade teacher, Mr. Denny. He worked at my school when I lived in Lemoore, California. He was funny. He also, had fun things for the students: he had pi-day on March 14th every year for fourth and fifth graders and gave everyone who could resite 10 digits of pi a slice of pie and the person who could resite the most digits got an extra item, gave fourth and fifth grade students coding lessons, he traveled around the world so he had a lot to show us and in his favorite place, Ireland, he learned a sport called Hurling and when he brought back Hurling gear and let us play. He was also nice, he let 3rd grade students join in on his events if they wanted and he gave us Christmas presents. He was also funny, he cracked jokes all of the time and when someone fell asleep in class he snuck up behind them and scared them. He overall was a great teacher. I can have great teachers, but they will never top him. I actually have my own Hurley, Hurling stick, because I thought it was fun.

-Johnathon

Hurling

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OMG

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One of my favorite teachers of all time was my first orchestra teacher, Mr. Starkey. He looked like Jim Henson and talked like Bob Ross. He patiently taught us how to hold our instruments, read music, learn technique, skill and patience. I have been reading music and have developed an appreciation for all types because of his teaching.

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With that said, I had some pretty stellar science teachers who worked hard to make a class I did not enjoy, a lot more bearable. My college OCeanography professor was this really cool ex-NAvy SEAL who came into class only with a cup of coffee and his keys, sat down and then taught me everything about the ocean. He was amazing! Everything I remember about the ocean I learned from him.

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One of my favorite teachers that I will never forget is my fourth grade teacher, Mr. O'Connel (O'conel? I can't remember). The reason why I liked him so much is because he spoke to the students and made me want to learn He was a good teacher.

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Ms.Diggs is my favorite teacher because she is funny and she help me.and there is her  favorite animal

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this is the new home for my name

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My favorite teacher would have to be... Ms. Diggs because I have always been bad at math and when I needed help my teachers would say "figure it out first" but when I needed help Ms. Diggs helped me so now I went from a low grade to a higher grade and actually one of my goals were to be better at math and Ms. Diggs helped me reach that goal.

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My favorite teachers are Ms.Thompson because she helped me with my math quizzes,Ms.Diggs because she loves to talk with us during lessons,Mr.Romero,because he love spanish like me!.

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you told me to put my name here, so I did.

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Ms.Person was my favorite teacher because she would give me things when I got the answer right

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Mrs. Claudia Griffin was my chorus teacher for my junior and senior year of high school. Before joing her choir, I didn't think I could really sing and hated for people to hear me. We performed all over the place, such as the mall, the Scope, Nashville, TN, Atlanta, GA... I majored in music partially because she gave me the confidence to perform.

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Ms.Diggs is the best teacher because she lets us play fun games sometimes and when do the work she finds a way to make it FUN.

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My favorite 2nd grade teacher was Mrs. Laker because she was close to my oldest sister and came to a lot of family reunions and stuff like that

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My favorite teacher is Ms. Diggs because she is nice and always explain everything easily that way i can understand.

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my third grade teacher mrs.brown, i was a bad kid in 5th grade and she helped me grow to change and control my emotions and i thank her fot that <3

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Not a requirement, but this is a helpful printable workbook for extra practice.

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Not a requirement, but this is a helpful printable workbook for extra practice.

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My favorite teacher was My teacher ms winston she was fun at times but serious when it came to work

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Hey my two favorite teachers are Miss parker from 3rd grade and miss Diggs from 7th grade they are my two favorite teachers because they are a very cool teachers and they give the most confidence out of all of my teachers

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Whats up

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ms.rawson i dont know how to spell her name but she always helps me and this is my 1 or 2 grade teacher i was her teacher pet she gives me stuff i miss her .

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My favorite teacher is Ms.Diggs cause she lets us have some days with no classwork and we can chill

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My favorite teacher is Ms.Diggs cause she lets us have some days with no classwork and we can chill

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kennedey

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My favorite teachers are miss.Diggs and my 6th grade teacher miss.Winston,You guys are my favorite because you guys are kind you work with us how long we needed you guys like playing games you never mean never yelling and give us extra credit,when we have a bad grade sometimes you guys bring them up so it will not be a very failing grade i thankful for that and appreciate you.

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My dad is one of the best teachers I ever had. He was a history teacher and my Sunday School teacher. He taught me how to ask good, analytical questions, research and wonder. He taught me to love history, even at its worst, and become an agent of change. He was a hard grader, a skilled debater and one of the funniest and most artistic people I've ever known. If I am a good teacher, it is beacuse he was a great one.