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Mathematics

Number patterns

Educator section

Memorandum

8.

c) (i) 465

(ii) 1 508

b).

Leaner section

Content

Activity: number patterns (gauss calculations) [lo 2.2]

8. did you know?

Karl Friedrich Gauss (1777 - 1855) was 9 years old when his educator asked him to add all the numbers from 1 to 100. He did this in record time and the method he used is now known as the "Gauss method".

a) How would YOU solve this problem? ___________________________________

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b) Let us look at how Gauss calculated the sum!

  • The sum total of each pair, e.g. 1 + 100 or 3 + 98, is 101. There are 50 pairs in total. The sum is therefore 50 × 101 = 5 050. Easy, isn't it?

c) Use Gauss' method to calculate:

i) the sum of the numbers from 1 to 30

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ii) the sum of the numbers from 5 to 55

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Assessment

Learning Outcome 2: The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.

Assessment Standard 2.2: We know this when the learner describes, explains and justifies observed relationships or rules in own words.

Questions & Answers

If humans have evolved biologically [like their skulls,jaws etc],so how can we apply animal psychology to humans? They must have evolved their minds...even one exception is enough to contradict....
abid Reply
yes
Petros
do you have suggestions for learning Darwin's theory of evolution....beginner+interactive
abid
what's the fugue state
jody Reply
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Skylar
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Hailey
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Manav
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Same here. Not satisfactory user interface here.
Swati
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Melandi
Dissociative fugue, formerly fugue state or psychogenic fugue, is a dissociative disorder and a rare psychiatric disorder characterized by reversible amnesia for personal identity, including the memories, personality, and other identifying characteristics of individuality. Thestate can last days,
Skylar
months or longer
Skylar
skyler can you please elaborate it ?
ecstasy
what is memory
Khushbu Reply
what is the meaning of memory
Khushbu
what is the meaning of memory?
Khushbu
what is the meaning of memory?
Khushbu
cognitive process whereby we remember past experiences
Annie
to aid in survival
Eleni
Storing information about people, places, and experiences. Both good and bad, in order to recall and make decisions.
andrew
Memory is the process by which we encode ,store, and retrieve information from the environment through different sense organs.
aijaz
the encryption-decryption mechanism of our psychophysical experiences
juan
can anyone suggest me good coaching in Indore MP India for m.a entrance of du psychology
SAMKIT Reply
How can one diagnose a patient with a mental disorder such as schizophrenia?
Kutwal Reply
Making the Diagnosis. To get an official diagnosi of schizophrenia, your loved one has to show at least two of the following symptom most of the time for a month, and some mental disturbance over six months: Delusions (false beliefs that the person won't give up, even when they get proof that they'r
Khajiit
they're not ture)
Khajiit
Can sombody write me here about Pinoccio in psychodynamic perspective?
Amina Reply
what is the nature and nurture perspective of personality?
Khan Reply
are there significant differences between methamphetamine and it's long term effects on male cognitive behavioral and function versus female?
Shiloh Reply
effects will be the same( male & female)
Smith
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baby
no. it's much worse on females. almost s complete polar switch
cody
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Khushbu
please is there any difference between abnormal behaviour and normal behaviour?
Ayodele Reply
hm
sheere
yes abnormal behavior is "not normal ", actions in society's eyes. an example of abnormal behavior (I remember from a textbook) ; a man who runs around frantically in a grocery store licking strangers'(women's) shoes because when he was a baby his mom would tickle his feet/give them special attentio
Peter
yes there is a difference between abnormal and normal behaviour... This is simply because abnormal behaviour is deviating from the normal behaviour of the society while normal behaviour is obeying the moral standards in the society.
Emmanuel
how about disorders? like, always having a tantrums and irrational most of the time?
Jheannalyn
a behavior becomes pathological when 1. there is a before and after : you can see a real change of behavior/cognition or 2. behavior is pathological when it makes yourself or others suffer
Perle
what is difference between disease and disorder
Shahab
disease demand medicin but disorder demands care plus medicin
Zeeshan
I think the concept of normal and abnormal behavior in general is not much of psychological concept but more of sociological concept. A behavior or act in itself is not normal or abnormal. How society perceives that specific behavior, that's what decides what's normal.
Juveriya
For instance, gay marriage is considered normal where homosexuality is legalized. Where it isn't legalized, its abnormal.
Juveriya
So there cannot be an absolute answer for your question
Juveriya
well abnormality is pretty much considered in popular society which is something of a correlation of psycholigical perspective reflected through activity... something abstract... or non trending or precedented. or maybe something disturbing or atypical for people in their respective birth cohorts.
Geoffrey
please what are the schools of thought in psychology
Jennifer
if I told a girl that I will marry her how will she takes it when am to rate it in percentages
dauda
structuralism,functionalism,gestaltalism etc
aijaz
what about Diathesis stress model ?
aijaz
What is the difference between motivation and goal?
vishal Reply
goal is what you want to accomplish. motivation is what drives you to achieve it
Tay
motivation is ambitious and a goal is a ambition
Alivia
But Motivation is just stay there for only short time
Manish
goal is our destination and motivation is a vehicle to reach goal
pradeep
motivation is the One person improved in self development another person advices......... goal is achievement at one of the life.....
thangaraj
motivation is for our personality development thing but goal is our whole personality.
Zeeshan
but its should be more remember without motivation no life no goal .
Zeeshan
it's like this
Tay
if my goal is to get my degree. then me wanting a better job is my motivation. ultimately family
Tay
Motivation is the vehicle we use to reach our goal.
Zachary
Please wat r the schools of psychology
Jennifer
i want the outline of it,its methodology
Jennifer
hi guys can someone help me how can I over or stress ?
Folet
Jennifer I need to take my own advice however stress relief is something that is done through catharsis which in my estimation is defined as a physical or mental activity used as therapy... that can include, yoga, meditation, sex, physical activity like a sport or martial art practice or sometimes .
Geoffrey
the schools of psych I have no clue about
Geoffrey
If you want to be something ,that we can say you have goal.But you will never be that without enough effort,if you getting accurate rewards from your surrounding as accepting you than before when you are trying to be something.that we can say motivation.it may be in the form of acceptance and suport
Hot
motiVation is the part of goal . but it has a backbone value for goal .with out motivation wo can not Think about our aim of life, our goals .
Zeeshan
how do you get motivation? I'm such a lax person
Alexsus
can anyone help me we have a school in a third world country the kids are unable to learn, how can we help them motivate?
Cesaire
make it a game , if it's a 3rd world country then personal hygiene supplies would be a good prize to win
Maria
Maria can you explain that a little more
Cesaire
make them a set goal of so many pages to read or assigments to accomplish and go buy soap, toothpaste and toothbrush or even Candy and put it in front of the class so everyone can see the prizes and it will motivate them to finish first to get an award
Maria
ok
Cesaire
ok Maria
Cesaire
Motivation - reason or reasons for acting or behaving in a particular way. Goal - The object of a person's ambition or effort; an aim or desired result.
andrew
what is mutation?
Amaya Reply
What is mindfulness
rahul
mindfulness means to be aware of the present
Agnieszka
meaning that you are totally focussing on the present...and living in the moment
Agnieszka
also present variables
Carl
hello guys
Folet
can someone help with few answers ?
Folet
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Folet Reply
The theory of evolution and its natural selection is a given trait by respond it is also classical conditioning it is a given trait that makes humans more unique than any other species of animals plants or an the theory o the Big Bang is a spontaneous person and has expanded ev we do not know that m
Ryan Reply
hi
Cesaire
hi
yugandhar
behaviors are most successful in treating what?
Cody Reply
mental health disorders
Joyce
Please guys am about to begin my project, I'd love suggestions on topics I can possibly take up.
Anigwe Reply
What are your guide lines
Sarah
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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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