Grade 8 Mathematics Padlet by

Formula

2008000228 — 2023-06-06 03:22:29 UTC

a2+b2=c2

2023-06-06 03:23:04 UTC

Finding the hypotenuse or leg of a right triangle
- shwe yi

2023-06-06 03:24:53 UTC

sum of the area of the triangle.
on the legs (a and b) equals the area of the square on the hypotenuse (c).
- cindy

Peter

psthar271_1 — 2023-06-06 03:25:53 UTC

Interpreting expressions that represent quantities.
Terms, Factors, Coefficients.

Nick

2023-06-06 03:26:18 UTC

The 4 transformations include rotation, translation, reflection and Dilation.

Stephen

2023-06-06 03:26:34 UTC

Rotation

a shape is turned clockwise or counterclockwise around a given point

Reflection

a shape is flipped to create a mirror or congruent image

Translation

takes each point in a figure and slides it the same distance in the same direction

Dilation

changes the size of a shape to become either larger or smaller

Candy

2023-06-06 03:27:23 UTC

1. rotation
2. reflection
3. dilation
4. translation.

The 4 types or transformation:

nlko27_2 — 2023-06-06 03:27:42 UTC

Translation - How much up or down does a shape move?
Rotation - How much does a shape rotate?
Reflection - Does a shape flip vertically or horizontally?
Dilation - By how much did a shape change in size?

Equations

2023-06-06 03:28:03 UTC

Linear Function Equation: y = mx + b
Quadratic Function Equation: y = ax^2
Exponential Function Equation: y = a(b)^x

Jeff

2023-06-06 03:28:32 UTC

- cindy

Candy

2023-06-06 03:29:15 UTC

https://www.youtube.com/watch?v=GqHWdTLL8Qw

Nick

2023-06-06 03:29:48 UTC

Transformations in the plane can change the size, shape or position of a figure to create a new image.

Rotation

nlko27_2 — 2023-06-06 03:30:00 UTC

Example equations

2008000228 — 2023-06-06 03:30:21 UTC

SaiSai

2023-06-06 03:30:33 UTC

How to identify a function?

2023-06-06 03:30:47 UTC

If it's a graph check to see if it passes the vertical line test.

If it's a table see if any x values repeat.

If it's an equation see if it follows the formats in "Equations"

Jeff

Example graphs

stmoe1 — 2023-06-06 03:30:55 UTC

Nick

2023-06-06 03:31:08 UTC

For Rotation:

90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)

Peter

psthar271_1 — 2023-06-06 03:31:14 UTC

Divide a by 4-
a/4

Color Coding:

2023-06-06 03:31:55 UTC

Blue = Vocabulary
Green = Notes
Purple = Examples
Black = Tips/Fun Facts

Jiae

2023-06-06 03:33:07 UTC

Moe

2023-06-06 03:33:22 UTC

An example of an expression

Cindy

2008000228 — 2023-06-06 03:33:23 UTC

Example problems; Finding out whether it is a right triangle off of the measurements for a, b, and c.

2023-06-06 03:33:25 UTC

- shwe yi

Nick

2023-06-06 03:33:54 UTC

For Dilation:
If the scale factor were to be between 0 to 1, the image shrinks.
If the scale factor were to be more than 1, then the image would stretch.
If it’s exactly 1, the image’s original size stays the same.

Jiae

2023-06-06 03:34:14 UTC

Candy

2023-06-06 03:34:28 UTC

Dilation is a transformation, which is used to resize the object. Dilation is to make the object/shape smaller or bigger.

Peter

psthar271_1 — 2023-06-06 03:34:46 UTC

Yes

SaiSai

2023-06-06 03:34:57 UTC

Vocabs

Variable - a letter or a symbol used to represent a value that can change.

Numeric expressions - contains only constants and operations.

Algebraic expressions - contain variables, constants, and operations.

Constant - a value that does not change.

Finding the missing side of a right triangle

2023-06-06 03:35:15 UTC

P.S

2023-06-06 03:35:17 UTC

the different transformations consists of first transition, when the shape moves to another point on the grid. Rotation, when the shape goes either 90 degrees clockwise or counter clock wise. Reflection, when the shape reflects and basically becomes opposite of what it used to be for example if it’s across the X axis it goes from top to bottom or bottom to top and if it’s across the Y axis it’s goes from left to right or right to left. As for dilation it becomes smaller or larger by a certain amount it’s like if you scaled a imagine on your computer.

Candy

2023-06-06 03:35:36 UTC

https://www.youtube.com/watch?v=VJTxv-tRKj0

Sample Problem 1-Translation and Reflection:

nlko27_2 — 2023-06-06 03:35:59 UTC

Step 1: Move the triangle 15 units down. For example, the translated point b must be in -10 instead of 5 because 5-15 = 10. (15 units down.)
Step 2: To reflect it across the y axis, the new points' x values must be opposite. For example, the reflected point b must be 7 instead of -7

P.S

2023-06-06 03:36:47 UTC

https://youtu.be/BCllaARDOWI dilation done right

Peter

psthar271_1 — 2023-06-06 03:38:01 UTC

https://www.youtube.com/watch?v=l3XzepN03KQ

Candy

2023-06-06 03:38:34 UTC

https://www.ixl.com/math/level-j/identify-reflections-rotations-and-translations

Step by step on finding a matching equation and table using only a graph for a linear function.

2023-06-06 03:39:13 UTC

1. Find out what you know by looking at the graph
Is it inclined to the right (Positive)? Is it inclined to the left
(Negative)? What's the y-intercept?

2. Find the rate of change (ROC) by using the following formula y2 - y1 / x2 - x1.

3. Use the pair from x1 and y1 OR x2 and y2 in order to check if the equation is working or not

4. Using the points from before find out the table by using the rate of change on them.

5. Now check the table, by putting the numbers from the table into the equation from before!

Jeff

Moe

2023-06-06 03:39:24 UTC

Description of Equation
An equation is a mathematical statement that consists of two sides separated by an equals (=) sign. Equations are used to represent balance or equivalence between two quantities. The solution to an equation is the value of the variable that make both sides of the equation equal.

SaiSai

2023-06-06 03:39:37 UTC

cmssin27 — 2023-06-06 03:39:54 UTC

Rise over run

-Rise means how many units you move on the graph up or down. Run means when you move the unit to left or right, those are x values.The slope of a line is often stated as a fraction known as rise over run.

-Clori

Peter

psthar271_1 — 2023-06-06 03:41:35 UTC

Moe

2023-06-06 03:41:41 UTC

An example of expression

SaiSai

2023-06-06 03:41:45 UTC

Moe

2023-06-06 03:43:18 UTC

Jiae

2023-06-06 03:43:27 UTC

Nick

2023-06-06 03:44:20 UTC

This will make rotations easier
https://youtu.be/tdWrAzE8r3U

SaiSai

2023-06-06 03:44:28 UTC

https://youtu.be/QEnFIgN8UBw

Moe

2023-06-06 03:44:42 UTC

Candy

2023-06-06 03:45:16 UTC

Peter

psthar271_1 — 2023-06-06 03:45:47 UTC

Moe

2023-06-06 03:46:17 UTC

Rules of Transformation:

nlko27_2 — 2023-06-06 03:46:53 UTC

1. Rotation:

90 clockwise - (x, y) to (y, -x)
90 counterclockwise - (x, y) to (-y, x)
180 clockwise and counterclockwise - (x, y) to (-x, -y)
270 clockwise - (x, y) to (-y, x)
270 counterclockwise - (x, y) to (y, -x).

2. Translation:

If you want to move a units up or down, you need to add or subtract that from y.
If you want to move a units left or right, you need to add or subtract that from x.
For example, if you want to move 2 units up and 5 units right, the new coordinates must look like this : (x+5, y+2)

3. Dilation:

Multiply x and y by the amount you want to increase.
For example, if you want to increase the size twice, multiply both x and y by 2.

4. Reflection:

x-axis - (x, y) to (-y, x)
y-axis - (x, y) to (y, -x)

SaiSai

2023-06-06 03:47:30 UTC

ysyoo4 — 2023-06-06 03:48:13 UTC

Pythagorean Theorem (hypotenuse and legs)

mdlheil271_1 — 2023-06-06 03:48:19 UTC

ysyoo4 — 2023-06-06 03:48:35 UTC

Color Coding

nlko27_2 — 2023-06-06 03:49:19 UTC

Purple: Videos and images
Orange: Facts and tips
Blue: Links
Green: Sample Problems

SaiSai

2023-06-06 03:50:12 UTC

Determining the Distance between Points

mdlheil271_1 — 2023-06-06 03:51:48 UTC

Group 1

psthar271_1 — 2023-06-06 03:52:32 UTC

Descriptions: Red
Photos: Blue
IXL: Black
Videos: Purple

Legend:

tvecino1_1 — 2023-06-06 03:52:33 UTC

Red: Vocabulary
Blue: Notebook Work/Schoolwork
Purple: How to solve

Tips for identifying graphs

2023-06-06 03:52:44 UTC

A straight line is linear

A big curve is exponential

A circular V looking thing means quadratic

How do you know which type of function fits an equation/function?

myra59 — 2023-06-06 03:53:33 UTC

In Functions and Statistics, we learned about regression. In this part, we mainly used desmos. However, we had to learn the different equations for functions.

-Myra

Sample Problem 2 - Dilation:

nlko27_2 — 2023-06-06 03:53:49 UTC

To reduce the size by 1/2, we need to multiply 1/2 to each coordinate points.

A. (-4, -6)*1/2 = (-2, -3)
B. (0, -6)*1/2 = (0, -3)
C. (0, -10)*1/2 = (0, -5)

Sample Problem 3 - Rotation

nlko27_2 — 2023-06-06 03:56:19 UTC

To rotate it 180 degrees, you need to change the points from (x, y) to (-x, -y).

Change the Points (-1, 2) to (1, -2).

Find the measure of the other leg

mdlheil271_1 — 2023-06-06 05:04:45 UTC

Word Problem

mdlheil271_1 — 2023-06-06 08:39:50 UTC

Figure out how to find the width of a rectangle using Pythagorean Theorem.

Coordinate Distance

mdlheil271_1 — 2023-06-06 09:56:09 UTC

Converse of Pythagorean Theorem

mdlheil271_1 — 2023-06-06 09:59:18 UTC

Regression

myra59 — 2023-06-06 12:04:46 UTC

Regression predicts the estimation between the two variables, independent and the dependent variable.

The regression is often indicated as R^2 and the closer your regression, the more fit your function/table is to the specific function.

-Myra

What are the differences between different types of functions?

myra59 — 2023-06-06 12:19:12 UTC

Linear Function - This type of function has a constant rate of change between the x and y values. It has a steady rate, therefore, when represented in graphs, it's always a straight line and not curved.

Exponential Function - This type of function's y values will drastically get greater/smaller as the y values have common ratio instead of a common difference like the linear functions have. An exponential graph never passes the horizontal asymptote; the horizontal asymptote depends on the graph. Meaning, an exponential function can be graphed as accelerating as the y values are drastically increased as the x values increases. So, it's curved rather than straight.

Quadratic Function - This type of function's always changes in sign of slope after the vertex. It can be also noted that it gets increasingly smaller when getting nearer to the vertex and after the vertex, it changes it signs. So, it's shaped like a U(parabola) rather than a straight line.

-Myra

2025-05-02 08:43:34 UTC

yo les gars