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January 11th 2021
Parallel and Perpendicular Lines
Parallel and Perpendicular Lines
Parallel lines have the same slope, just a different y intercept and they never cross one another
Perpendicular lines meet at a 90 degree angle and slope of the second line is the negative reciprocal of the first.
January 11th 2021
Finding the y Intercept
Finding the y Intercept
How to find the y intercept using the slope and one given point.
For example, the slope is 4 and and the line passes through (2,6)
Start by substituting in the coordinates for their values. Y becomes 6 and x becomes 2.
Multiply the slope with the x coordinate.
Bring the product to the other side of the equation and it will become the opposite value.
Then subtract the product from y and that is your b.
January 11th 2021
Linear Equations
Linear Equations
We learned linear equations! A linear equation is used to plot a line graph. It includes the slope and where the line intersects on the axis. The equation is y=mx+b. The y stands for the y axis, m is the slope, x is the x axis, and b is where the line intersects, or begins, on the y axis.
January 10th 2021
Slope - Finding the Steepness
Slope - Finding the Steepness
Rise over run is what we use to find the slope. If you know a line passes through two certain points, then it is easy to find the slope. For example, the line passes through (2,3) (4,5). This image below shows how to get organized for the next steps.
You set it up like a fraction and on the top there is y2-y1, and on the bottom there is x2-x1. Then you continue to simplify the fraction until you get your slope. In this case, the slope of (2,3) (4,5) is 1.
Table of Values Example
Table of Values Example
A table of values shows the x and y coordinates on a graph. The values on the left side mark the run, and the values on the right side mark the rise. The slope of this graph is is 2.
November 30th 2021
Multiplying Integers
Multiplying Integers
There are a variety of numbers that can be multiplied to equal one number.
For example, 6 × 6 = 36, but so does 1.3 × 30. The formula for this is
x × y = 36 (or any other number)
On the graph :
As the product gets smaller, the line gets closer to the center, and while the product gets larger the line gets further from the center.
When negative numbers are being multiplied, the line will go to the negative side of the graph.
These lines go on for infinity.
I also tried it with different numbers to see how they would work.
November 24th 2021
Scratch - Celsius to Fahrenheit
Scratch - Celsius to Fahrenheit
To start of with, we got a code that converts fahrenheit to celsius, then we had to change the code to make it go the other way. In this challenge I learned how the code worked and how to rearrange it to do the opposite.
Here is what everyone started off with. >>>
And here is what I changed the code to >>>
This is the link to see how to works,
November 23nd 2021
Scratch - Drawing circle and figuring out circumference based on diameter.
Scratch - Drawing circle and figuring out circumference based on diameter.
The code I created can figure out the circumference of a circle based on a given diameter. It is kind of hard to explain how I made it, but if you click on the link you can try it out for yourself!
(This took a surprising amount of energy to wrap my head around how to make it)
November 22nd 2021
Scratch - Area and Perimeter
Scratch - Area and Perimeter
We learned how to use a coding website called Scratch to create and solve a sequence of equations. We practiced creating formulas to draw shapes and worked on small challenges to build our own equations. This example here shows how I made a code to draw the largest 3 sided rectangle with a given perimeter.
November 22nd 2021
Optimizing rectangles
Optimizing rectangles
How to create the largest area with a specific perimeter.
4 sides
To create the largest area with four sides, make the perimeter equal in length and width. In other words, make a square.
3 sides
Make the length half of the perimeter, and the width the perimeter subtract the length then divided by two.
For example with a perimeter of 600, the width is 150, (600-L)/2, and the length is 300, 600/2. Simply put, the length is always double the width.
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