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University of Georgia
University of Georgia: Investigating Tangents: Rotation of Axes
An explanation of the rotation of axes and the equations involved in the process. Includes diagrams, explanations and formulas.
Other
The Krell Institute: Project: Rotation of Axes
This resource provides an explanation of the equation for rotation of axes with conic sections includes an example with an ellipse.
Texas Instruments
Texas Instruments: Reflections Over the Axes
It is important for students to know what happens to the coordinates of points when they are reflected over the x-axis or the y-axis. This activity enables students to use Cabri Jr. to develop this understanding.
Physics Aviary
Physics Aviary: Speed of Pac Man on X Axis
Determine the speed of Pac-Man in different units based on their timing of him across the x-axis. This video describes the problem: https://www.youtube.com/watch?v=TGd49bz1Q2w&feature=youtu.be
Wolfram Research
Wolfram Math World: Y Axis
This is a very brief site giving the name physicists use when referring to this axis, and its general orientation in the Cartesian system.
Texas Education Agency
Texas Gateway: Collisions of Point Masses in Two Dimensions
By the end of this section, you will be able to discuss two-dimensional collisions as an extension of one-dimensional analysis, define point masses, derive an expression for conservation of momentum along the x-axis and y-axis, describe...
TeachEngineering
Teach Engineering: A Place in Space
The students will use a "real" 3D coordinate system. They will have 3 axes at right angles, and a plane (the XY plane) that will be able to slide up and down the Z axis. The students will then be given several coordinates and asked to...
Paul Dawkins
Paul's Online Notes: Algebra: Symmetry
Detailed math tutorial features notes and examples that take a look at symmetry, discussing symmetry about the x-axis, y-axis, and the origin. Shows methods for testing the symmetry of a graph.
TeachEngineering
Teach Engineering: Coordinates and the Cartesian Plane
A brief refresher on the Cartesian plane includes how points are written in (x,y) format and oriented to the axes, and which directions are positive and negative. Then students learn about what it means for a relation to be a function...
Curated OER
Educational Technology Clearinghouse: Clip Art Etc: Bronze Age Copper Axes
Copper axes from the Bronze age. Not drawn to scale.
University of Regina (Canada)
University of Regina: Math Central: Introduction to Slope for Middle Years Mathematics
This collection of five middle school math lessons covers the topic of plane geometry, specifically the concept of slope. The first lesson introduces young scholars to plotting points on a Cartesian grid using a Geoboard. Lesson two...
University of South Florida
Fcat: Human Coordinate Plane: Teacher Notes
Students participate as a class in this activity using their desks as points on the coordinate plane. The teacher leads them in the activity, increasing their understanding of the characteristics of the coordinate plane.
Texas Instruments
Texas Instruments: Coordinate Plane
Short quiz covering the coordinate plane, axes, quadrants, origin, and plotting points.
Analyze Math
Analyze Math: Equation of Ellipse
Learners investigate the ellipse equation. The tutorial examines intercepts, foci, sketching ellipses, major axes,and minor axes. Examples with detailed solutions are included.
Texas Instruments
Texas Instruments: Mapping a Leaf
In this activity, students will identify and record ordered pairs from a coordinate plane. They will examine symmetry about the axes, reflections, and symmetry in nature. They understand geometric concepts like area and perimeter, and...
Khan Academy
Khan Academy: Frog Development Examples
How do you build a frog from a single cell? Learn how body axes are established and nerve tissue is induced in frog embryos.
Cool Math
Coolmath: Graphing Polynomials Important Rules About Zeros
This algebra lesson explains some important rules about zeros (where graphs touch or cross the x-axis).
PBS
Pbs Learning Media: The Coordinate Grid: Targeted Math Instruction
At the end of this lesson about the coordinate grid, students will be able to identify x- and y-axes, point of origin, quadrants, coordinates, and ordered pairs, and read, interpret, and plot points in any of the quadrants.
A&E Television
History.com: 9 Bronze Age Weapons
This is the introduction of bronze led humans to develop array of new, intimidating weaponry. European archeologists have uncovered hoards of Bronze Age weaponry dating from more than 4,000 years ago. The following eight Bronze Age...
University of South Florida
Fcat: Reflection: Teacher Notes
Students use the coordinate plane to investigate how reflections affect geometric shapes. Can be used by the student, but is also a great lesson plan idea for teachers.
Purple Math
Purplemath: Introduction to the X, Y Plane (The "Cartesian" Plane)
Purplemath offers an in-depth lesson on the Cartesian plane. The lesson discusses how to plot points and gives information about the four quadrants. Example problems are given on plotting points and determining the quadrant in which to...
Purple Math
Purplemath: X and Y Intercepts
This lesson from Purplemath.com explains how to find x and y intercepts then shows exmples.
ClassFlow
Class Flow: Coordinate Plane
[Free Registration/Login Required] In this lesson, students will learn the basics of the coordinate plane including quadrants, x and y axis, ordered pairs and the origin. A 5 question quiz is included to see if they get it.
Math Graphs
Houghton Mifflin: Math Graphs: Symmetry 5 [Pdf]
The practice problem explores y-axis symmetry. The graph is available in PDF format.