#coordinate plane

Functions_9th Grade.Math course..pdf

● Graphing linear functions means drawing straight lines on a coordinate plane using linear equations like y = mx + b. ● Find two points by plugging in x values to solve for y, then plot these points and draw a line through them

January 2025 has been a long year, and I am way too tired for Sunday night right now, especially given that I was literally in bed by 8:00 last night and made it eleven hours before I even woke up to pee. I didn’t actually get out of bed until 9:30 or so, and other than taking the Christmas tree down, doing some reading– I am going to finish Wind & Truth tomorrow– and writing an assignment for…

With Yamie Chess, students as young as 5 years old use the classic chess grid to begin learning about the coordinate system that our math teacher Patrick Jones discusses in the video above.

In Yamie Chess' learning toy, this is all done through an engaging cartoon math world of Tigermore and the Mind Angels where concepts in numbers, algebra, data analysis like Venn Diagrams and measurement are gently approached in a friendly way written by qualified math teachers with years of classroom experience.

  In scaling up to a 2-dimensional geometry and arithmetic we find again the same three operators as in a 1-dimensional system: +1, -1, and 0. Now, however, we find these three elementary operators combined in new configurations forming composite operators having certain additional modes of expression.

In place of the two line segment domains of the 1-dimensional realm we have four quadrants, all unique and each possessing its own unique operational capacity based upon different combinations of the same three original elementary operators.

Angular motion can be modeled well in the real plane. Angular motion is circular motion that is measured in changes in angular position measured in units of degrees or radians. By convention mathematics considers counterclockwise rotation through the four quadrants to be positive and clockwise rotation negative.

An equally important operation which the real plane can model is that of inversion. The x-axis demonstrates inversion in the horizontal dimension as it does in the 1-dimensional line. The y-axis demonstrates inversion in the vertical dimension. Working in unison they define all the various complex inversions possible throughout the four quadrants of the plane. This capacity will prove of great significance when we come to consider symmetries of the square, the cube, and higher dimensional hypercubes. 

Students, midpoint is crucial to remember throughout your mathematical school career! Please ensure you know this before entering the Algebra 1 course, or if you're already in the course, LEARN IT!

Remember: m = (x1 + x2/2) , (y1 + y2/2)