venn diagram

Venn diagrams are often pictured by different shapes, but the most common shapes are circles and rectangles.

 

                        Set A {2,4,6,8,10,12}

                        Set B {3,6,9,12,15,18}

    (PIC)           A intersect B {6,12,18}

                        A union B {2,3,4,6,8,10,12,14,15,16,18}

 

An empty set looks like { }

 

The intersection of 2 sets A and B is the set of all elements that are in both A and B.

    -you can also write it like (A n B)

 

The union of 2 sets of all elements that are in A or in B or in both A and B.

    -you can also write it like ( A U B)

 

Example

 

(S n B) { SBS,SBT,SBH}

(S U B) {SYS, SYH, SYT, SBT, SBS, SBH, LBT, LBS, LBH}

 

 

Lets say the set of small blue pieces (grey shaded area). The remaining pieces (red shaded area).

 

These 2 subsets (grey area and red area) are called complements of each other because together they make up the whole set.

 

Example:

For any given set U if Z subsets A and B are disjoined and thier union is U. Then A and B are complements of each other.

    -you can write this as (B’=A)

 

So I hope I helped you learn more about Venn Diagrams!

numbers

So, lets talk about numbers. There are Rational numbers, Integers, Whole numbers, Natural numbers, and irrational numbers.

Rational Numbers- A real number that can be written as a quotient of two integers.

    Example: 1.5 is a rational number because 1.5=3/2 (can be written as a fraction)

    More examples of Rational numbers are 3/4, .75, -5, and 4

Integers- A number with no fractional part.

    Includes the counting numbers (1,2,3,4,…); Zero(0), and the negative of the counting numbers(-1,-2,-3,-4,…)

Whole Numbers- A no fractional or decimal part, and no negatives.

    Some examples 5, 49, 980, 8, and 9.

Natural numbers- The whole numbers from 1 upwards: 1,2,3 and so on, or from 0 upward in some mathematics fields: 0,1,2,3

    ** NO NEGATIVE NUMBERS!

Irrational Numbers- A number that cannot be written as a simple fraction / The decimal goes on forever without repeating

    Example: It is an Irrational number

cookie math

This activity is to help kids learn multiplication and division. Here’s what you do, lets say the question is 6×5=? First, you tell them to lay out 6 cookies

After that tell them to put 5 “chocolate chips” in every cookie

Once done tell them to count up all the chips in every cookie. When they are done counting ask them how many chips are three all together. Their answer should be 30. So this is for multiplication, but now I’ll show you some division: Lets say the question is 10 / 5=? Tell the kids to lay down 5 cookies. Then tell them to take 10 chips and set them to the side

Then tell them to put one chip in each cookie until they are all gone.

Next, ask them how many chips are in just one of the cookies.

And there you have it, Cookie Math! It is a hands on activity that I believe really helps kids understand multiplication and division.

Intergers

An easy way to teach kids intergers is a time line so they can see it. Lets say that proble is -5+9=

pic

You would start at zero then move five places to the left

(draw an arrow to help see)

then from that -5 you would move 9 places to the right

pic

the number they land on is the final answer and that would be 4… -5+9=4

I personly think that be able to see it helps out alot.

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