10 Minute Maths

Cartesian Coordinates

One Dimesnional Space

• Axis
• Relative Positions
• Absolute Positions
• Origin

Two Dimensional Space

• X and Y Axes
• Quadrants
• Absolute Coordinates
• Relative Coordinates

Lines and Angles

Lines

• Lines
• Line Segments
• Rays
• Defining a Line
• Equation of a Line
• Gradient of a Line
• Intercept Point
• Intersecting Lines
• Transversal Line
• Parallel Lines

Angles

• Degrees
• Angle Classification
• Using a Protractor
• Angles and Intersecting Lines
• Angles and Interesecting Lines
• Definitions: Congruent, Supplementary, Corresponding, Interior
• Rotating a Line Fixed to the Origin

Sine, Cosine, and Tangent

Rotating Lines

• Cosine as the x-coordinate
• Sine as the y-coordinate
• Finding Angles using Arccosine and Arcsine
• The Limitations of Arccosine and Arcsine
• Cosine, Sine and the Coordinates of Longer Lines
• Lines not Fixed at the Origin

Gradients

• Gradient Defined
• Finding Gradient using Tangent
• Positive and Negative Gradients
• Tangent's Relationship to Sine and Cosine
• Tangent and the Equation of a Line
• Finding Angles using Arctangent
• The Limitations of Arctangent