final week :)

so we are down to the last week in this class. i have had some easy days and not so easy days. but if you just keep pushing you will make it . i have met a lot of new people and mrs. cotton was really easy to get a long with, also i really like her teaching style. thought out this class we covered a lot of thing here are just some of the things we covered in class

-long division

– factor trees

– deductive reasoning

– veen digrams

– and many more

we also did blogs in this class gateways and learning projects. my first learning project was bingo with the numeration system. the next learning project i did was a memory  game with decimals. so over all i really enjoyed this call and the people in it

have a good summer every one

black and red tiles

so let me start of say that the black tiles are positives and reds are negative. one black tile and one red tile represent 0.

so lets say that we have 10 titles in all but there are 7 red tiles and 3 black tiles .

so you would match the 3 black tiles with 3 red tiles  and then end up making .

so how many tiles are left -4 tiles

shapes

we have been talking a lot about shapes this week.so I was just going to fill you guys in with some of the shapes and with how many sides they have

3 sides – Triangle
4 sides – quadrilateral
5 sindes – Pentagon
6 sides – Hexagon
7 sides – Heptagon
8 sides – Octagon
9 sides – nonagon
10 sides – decagon

formula

Areas
Rectangle:  A = l ×  w
Parallelogram: A = b×h
Triangle:  A = ½ bh
Trapezoid:  A = ½ (b + u)h
Circle: A =  πr(squared)

Volume

Prism:  V = Bh, B = area of base
Cylinder:  V = Bh, B = area of base
Pyramid:  V = 1/3 Bh, B = area of base
Cone:  V = 1/3 Bh, B = area of base
Sphere: V = 4/3

angles

so we have been learning about angles in are math class this week . there are 7 different kids of angles

we have a right angle. a right angle has a angle measure of 90 degrees

there is and acute angle . a acute angle is less then 90 degrees but greater then o degrees

the obtuse angle is greater then 90 degrees but less then 180 degrees

and a straight angle has a measure of 180 degrees

there is also reflex angle  more then 180 and less then 360

there is two more and they are supplementary and complementary

If their sum is 180 then it is supplementary

if the sum of two angles is 90 degrees complementary

Divisibility tests

we use the notation a/b to say A divides B. 2/10 that would tell us that 2 divides 10

the number 2,347 is made of four digits:2 3 4 7. the sum if the digits is 2+3+4+7=16

Divisibility by two: if the last digit is even, the original number is divisible by two

    example 632 it end in a even number

    example that does not work 655 does not end in a even number

Divisibility by three: if the sum of the digits is divisible by 3, then the original number is divisible by three.

    example 123 

    example that does not work 122

Divisibility by four: if last two digits from a number that is divisible by four, then the original number is dividable by four

     example 5124

     example that does not work 5123

Divisibility by five: If the last digit is either 0 or 5, then the original number  is divisible by five

      example 3000

      example that does not work 3001

Divisibility by six: if the number is divisible by 2 and 3, then it is divisible by six

     example 114

     example that does not work 123

Divisibility by seven: just do division 

Divisibility by eight: if the last digit three digits from a number that is dividable by eight, then the original number is dividable by eight.

    example 4056

    example that does not work 4057

Divisibility by nine: if the sum of the digits is dividable by 9, then the original number is divisible bye nine.

   example 639

   example that does not work 638

Divisibility by ten: if the last digit is 0, then the original number is dividable by ten 

   example 100

   example that does not work 101

Divisibility by eleven: find the sum of the odd numbered digits (odd sum) and the sum of the even number digits (even sum). take the difference between odd sum and even sum. if this difference is divisible by 11, then the original number is divisible by eleven.

Divisibility by twelve: if the number is dividable by 3 and 4, then it is divisible by twelve.

  example 5124

  example that does not work 5061

 

Fractions

The tearm fraction is used to refer both to a number written in a form a/b. there is two parts of a fraction there is the top which it is called the numerator, and the bottom is the denominator. we will be talking about 3 different concepts about fractions they are part- to- whole, fraction-quotient,ration.

we will be talking first about part to whole concept,and that is the use of a fraction to denote part being considered. A fraction looks like this A/B. the bottom indeicated the number ofequal parts in a whole. the top number indicateds the number of parts being considerd.

pic

Next is faction – quotient concept is a nother ise of fractions arise from the divison of one number by another.

pic

Last on is ratio concepts this is another us of a fractions, but in this case fraction are used to compare one amount to another

exmaple we could say a boys height is one of his mother heights

with the ration concept of fractions can be illustrated with rods by comparing to lengths

 

that means that the little rod it takes 3 of them for just one big rod

kindergraten sequences

We start at a young age learning about sequences. But we just break it down a little more for them. Today I will be talking about patterns and numbers

Example: I put together a board with some numbers under a colored sheet of paper

 pic

I told them that we were going to learn about patterns. I took the first two sheets off then I asked if anyone knew what would be under the next sheet.

pic

Now it’s time for a harder one

 pic

Then I showed them the first three and I told them it was a little hard.

So lets pull every other now to see if it helps you. Guess what comes next!

 

 pic

Then do every one with what is left. And they thought it was 2 and they were correct!

 

 pic

So what do you think would be next? ….2!

nope……

 

 pic

Its 3!

This is a really good way to show sequences to young children.

numeration system

No one knows their names, or their symbols, first use of numbers. Written symbols for numbers are called numerals, and most likely made before number words.

A logically organized collection of numerals is called a numeration system. Early numeration systems appeared to have originated from tallying. In most of these systems 1, 2 , and 3 were shown by |, ||, and |||. By 3400 B.C.Ethe Egyptians had an improved system of numeration for numbers up to and exceeding 1 million. The first few number symbols are influenced of the simple tally strokes.

|    ||    |||    ||||    |||||    ||||||

1   2    3    4      5      6

There are 4 different numeration systems; Egyptian, Mayan, Babylonians, and Roman Numeral.

Egyptian is a base 10

Egyptian- Egyptian system is an example of an additive numeration system because each power of the base is repeated as many times as needed. In the Egyptian system b-10 the powers of the base are 1, 10 , 10, 10^2, 10^3….. it is written left to right.

Mayans is a base 20

Mayan- Mayans used a modified base 20 numeration system that included a symbol for zero. They wrote their numeral vertically with one numeral above the other, with the powers of the base increasing from the bottom up.

Babylonian is a base 60

Babylonian- The Babylonians made a base sixty numeration system. Their basic symbols for 1 through 59, but to write numbers more than 59 they used their basic symbols 1-59 and the concpet of place value. Place value is a power of the base. Their place value were 1, 60 ,60^2, 60^3

Roman Numeration is a base 10

Roman Numerals- The Roman Numerals can be found on the face of a clock. Just like Egyptian numerals, the Roman Numerals use a base 10. The Romans wrote their own numerals, so that the numbers they represented were increasing order from left to right.

I    V    X      L      C       D         M

1    5    10    50    100    500    1000

 46=XLVI

2342=MMCCCXXXXII

deductive reasoning

Deductive Reasoning is the process of forming conclusions from one or more given statement.

Every conditional statement if p, then q has three related conditional statements that can be obtained by negating and/or interchanging the if part and the then part. The new statements each have special names that show there relationship to the original statement.

    Statement: if p then q

    Converse: if a then p

    Inverse: if not p then not q

    Contrapostive: if not q then not p

    Statement: if a person lives in Maine, the the person lives in the United States

    Converse: if a person lives in the United States, then the person lives in Maine

    Inverse: if a person does not live in Maine, then the person does not live in the United States

    Contrapositive: if the person does not live in the United States, then the person does not live in Maine

A good way to show this visually is:

           This is just an intro to Deductive Reasoning.