DongKyu's Math Blog

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from DongKyu and Charles K.

i forgot how to put the address

link http://www.sketchcast.com/view/pFo52RS

“Rotation” means turning around a center
The distance from the center to any point on the shape stays the same.
Every point makes a circle around the center.
Observe.
there is a point in the middle of the rotation.
anti-clockwise and clockwise
we have to know where the point is.
how many times it takes to cover its own size and shape.
identify shapes
how rotation works

Reflection is also called flip.
Reflections are in mirrors, glass, lake and other places.
The size does not change when the image is reflected.
Every point is the same distance from the central line
It faces the other way after it’s been reflected.
The symmetry line is in the middle.
X-Axis
If the mirror line is the x-axis, just change each (x,y) into (x,-y)
Y-Axis
If the mirror line is the y-axis, just change each (x,y) into (-x,y)
The label says the same but has a ‘ at the end for example;
Observe.
The symmetry line must be in the middle unless it is not symmetrical
Understand
The distance between the point of the real shape and the reflected shape must be the same.
If the mirror line is the x-axis, just change each (x,y) into (x,-y)
If the mirror line is the y-axis, just change each (x,y) into (-x,y)
If the mirror line is y=x, just change (x,y) to (y,x)
If the mirror line is y=-x, just change (x,y) to (-y,-x)

Transformations from Math is Fun
The three main transformations are:
Rotation or turn,
Reflection or flip,
Translation and slide
After any of those transformations (turn, flip or slide), the shape still has the same size, area, angles and line lengths.

Translation
Translation is moving shapes.
Every point of the shape must move:
• the same distance
• In the same direction.
If we want to say that the shape gets moved 30 Units in the “X” direction, and 40 Units in the “Y” direction, we can write:
(x,y)→(x+30,y+40)
MathsNet
Observe
The main point from the questions was theat after a translation the image is always congruent to the preimage.
Understand
A. If y0ou add to the x-coordinate the image moves to the right.
B. B if you add a negative value or subtract from the x-coordinate the image moves to the left.
C. C. if you add to the y-coordinate the image moves up.
D. And if you add a negative value or subtract from the y-coordinate the image moves down.

The name of lesson 5-1 is “Models for Addition.” The many applications of addition come from two basic models: putting-together and slide. We will be learning about “The Putting-Together Model for Addition,” “Adding Measures of Adjacent Angles,” “The Slide Model for Addition” and “The Commutative Property of Addition.”
In lesson 5-2, we will be learning the rules for adding positive and negative numbers. We will learn how to add positive numbers and negative numbers and we will also be learning how to add positive numbers by positive and negative numbers by negative numbers. We will learn a lot on addition.
After doing the 5-2, we move on to 5-3 and we will be learning about the models for subtraction. We will be learning a lot of ways to set subtraction models and the different kinds of subtraction.
On lesson 5-4, we are learning to connect addition and subtraction. We did a lot of this in 3rd grade and I guess it will be a good review. We will learn the differences and the similarities of addition and subtraction.
“Solving x+a=b” is the title of lesson 5-5 and I guess it has something to do with algebra. We will learn how to solve equations and strategies on algebra.
In lesson 5-7, we have to understand algebra. (I think.) The title is “Understanding x+y=k.” It is basically similar to lesson 5-5 but maybe more advanced.

The Girls A team made 28% of the 25 shots they took in the game. How many shots did they make? How many points did they score? (this is fictional)

fraction way

decimal way.

The test shows that I understand how to order positive and negative numbers in order. The test also shows that I can graph on lines on different intervals. It also shows that I can compare positive, negative decimals, fractions and mixed numbers. It shows that I know how to use exponents and how to find the prime factorization of a number. The test also shows that I can find equivalent fractions of a fraction and add/subtract mixed numbers.

                Something that I need to work on is rather checking again after I’m done with the test, simplifying or reading the question but I think the problem was that I wasn’t careful and I was rushing through the test. I should slow down.