SETS - EQUAL and EQUIVALENT

FOCUS QUESTION:

What are the special symbols and language I use when I work with sets?

SPECIFIC OBJ.

Associate the members of a set with the properties of that set.

(Distinguish between equivalent and equal sets).

CONTENT SUMMARY

＝       Equal

≠        Not Equal

↔️       Is Equivalent

↮        Not Equivalent

ENGAGE 

Students, I want you to think about two words: EQUAL and EQUIVALENT. What is the meaning of the two words? They are both used to describe sets.

Ok I want you to use your dictionaries to help you.

Let's use the definition from the internet now. Can we read together?

                                 

equivalent

/ɪˈkwɪv(ə)l(ə)nt/

See definitions in:

all

mathematics

chemistry

adjective

adjective: equivalent

1. equal in value, amount, function, meaning, etc.

   "one unit is equivalent to one glass of wine"

   h

   Similar:

   equal

   identical

   similar

   parallel

   analogous

   comparable

   corresponding

   correspondent

   interchangeable

   like

   commensurate with

   the same as

   synonymous with

   much the same as

   amounting

   tantamount

   approximate

   near

   close

   of a kind

   of a piece

   coequal

   h

   Opposite:

   different

   dissimilar

   • having the same or a similar effect as.

     "some regulations are equivalent to censorship"
   • Mathematics

     belonging to the same equivalence class.

noun

noun: equivalent; plural noun: equivalents; noun: equivalent weight; plural noun: equivalent weights

1. 1.

   a person or thing that is equal to or corresponds with another in value, amount, function, meaning, etc.

   "the French equivalent of the Bank of England"

   h

   Similar:

   counterpart

   parallel

   alternative

   match

   complement

equal

/ˈiːkw(ə)l/

adjective

adjective: equal

1. 1.

   being the same in quantity, size, degree, or value.

   "add equal amounts of water and flour"

   h

   Similar:

   identical

   uniform

   alike

   like

   the same

   one and the same

Now would you say the two words mean the same?

Lets relate these words to sets. Give me your understanding of the two terms.

EXPLORE

Now I want you to examine the video clip below.

Look at this video clip. 

Let's do some re-cap now. Read the notes below.

EXPLAIN

Now you should be able to differentiate between EQUAL SETS and EQUIVALENT SETS.

Can you now provide examples of each type?

Write the symbols that represent the following.

 equal -----

 not equal _____

 equivalent ______

 not equivalent ____

EXTEND/ELABORATE

You can watch this video clip to glean more information.

EVALUATION

Task # 1

Indicate if the sets below are equal or equivalent.

1. Set A { vowels}

    Set B {a, e, i, o, u}

2. Set R { factors of 8}

    Set M { 1, 2, 4,}

3. Set C {Prime factors of 10}

    Set W {2, 5}

4. Set F { r, p, j, q}

    Set U {5, 9, 7}

5. Set O {odd numbers less than 10}

    Set L  {first 5 counting numbers}

Task #2

Write 3 examples of equivalent sets and 3 examples of equal sets below.