CLASSIFICATION AND WAYS OF NAMING A SET || GRADE 7 MATHEMATICS Q1

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🟢 GRADE 7: CLASSIFICATION AND WAYS OF NAMING A SET

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References:
*Nivera, G. C. (2013), Grade 7 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
*Oronce, O. A.(2012). e-math Grade 7 Mathematics. Rex Book Store, Inc. Manila, Philippines
*Math TIME, Activity Sourcebook. Educational Resources Corporation. Quezon City, Philippines
*Mathematics 7 Learner’s Module, SDO - Manila
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CLASSIFICATION AND WAYS OF NAMING A SET: Notes

★ UNLOCKING WORD DIFFICULTY ★
↳ Integers: Numbers from negative infinity to positive infinity
↳ Whole Numbers: Starts from 0 to positive infinity
↳ Counting/Natural Numbers: Starts from 1 to positive infinity
↳ Even Numbers: Like Multiples of 2 and Skip Counting by 2
↳ Odd Numbers: Numbers starting from 1, 3, 7, 9...
↳ Prime Numbers: Numbers that only have 1 and theirself as their multiplier. Ex. 2, 3, 5, 7, 11...
↳ Composite Numbers: Numbers that not only have 1 and theirself as their multiplier (basically have more than one multiplier) Ex. 4, 6, 8, 9, 10...

➷ Note: 1 cannot be a PRIME number nor a COMPOSITE number because it is a SPECIAL number

↳ Perfect Squares: Products of numbers multiplied by itself. Ex 1, 4, 9, 16, 25...
↳ Multiples: Like Skip Counting
↳ Factors: Numbers that can be divided without a remainder

★ FINITE AND INFINITE SETS ★
↳ Finite Set: If the number of elements in a given set is a whole number, then it is a finite set. Can be counted.
↳ Ex. A = {letters in the English alphabet}
A = { a, b, c, ..., x, y, z}
Set A is a FINITE SET

↳ Infinite Set: If the number of elements in a given set is _not_ a whole number, then it is an infinite set. Cannot be counted.
↳ Ex. B = {counting numbers}
B = { 1, 2, 3, 4, 5, ...}
Set B is an INFINITE SET

➷ Note: "..." is an ellipsis and is used when the elements are too much to list. THIS CANNOT ONLY BE USED IN INFINITE SETS.

★ EQUAL AND EQUIVALENT SETS ★

↳ Equal Set: Two sets are EQUAL only if they _contain exactly the same elements_ .
↳ Set has the same elements and number of elements or cardinality.

↳ Equivalent Set: Two sets are EQUIVALENT only if there is a _one-to-one correspondence between the sets_ .
↳ Set has the same number of elements or cardinality.

➷ Note: If two sets are EQUIVALENT, they _cannot_ be EQUAL. But if two sets are EQUAL, they _can_ be EQUIVALENT.

★ WAYS OF DEFINING A SET★

↳ Roster Method: Listing the elements. If the set does not have a large number of elements.
↳ Ex. A = {red, orange, yellow, green, blue, indigo, violet}

↳ Set-builder Notation: Describing the elements. If there are too many elements in a set.
↳ Ex. A = {x | x is a color of the rainbow}
Read as: Set A is the set of all x such that x is a color of the rainbow

Thank you po mam ^ 0 ^

[lysithal]

Studying for entrance exam for a school hope I pass.

Great teaching!
I passed!!!!

[janyaun]

I eagerly listen.. As a mom I need to learn more before I don't really care and I just understand basic math now lol so funny.. I need to learn and so I can help and teach my kids.

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Thank you! So much helpful for us moms and we know how to teach our kids.

[homein]

Among all the teachers i have this one so easy to understand effortless thank you

[jyroncharmee]

Thank you for all of your videos. You're really a great teacher.

[eurewinarimado]

Thank you very much po. Mag te-take po ako ng secondary education at malaking tulong po 'tong mga video na kagaya nito.

[marjorietrinidad]

Napakagaling nyo po mag explain
Ang galing nyo po*!
Thank you po marami po ako natutuhan
Da best po kayo💜

[Mamart]

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Thank you po miss wow math day 2 of watching your great teaching

[albertov.delfino]

wow maam magandang pakingan ang explanation niya.

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Ma'am thank you po naka perfect ako sa pre test namin

[marjorietrinidad]

Napakagalin nyo po tlaga^
The best tlaga "WOW MATH"

[mhytreasure]

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[leovellejasmine]

Thank youuu po nasa module po namin to😌

[marietesliongson]

mam ang ganda po ng pgkakaexplain ng lesson. Sna mashare nyo po s akin ppt pra maituro ko din s mga students ko.

[ardygravador-ntdh]

bukas na pasok ko😭😭 ngayon lang nag advance study kaka roblox:)