Year 8 Mathematics CoOrdinates Learning Intentions Pupils should be able to use and plot coordinates in all 4 quadrants use negative numbers in context find the mid point of a line ID: 493764
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Year 8 Mathematics
Co-OrdinatesSlide2
Learning Intentions
Pupils should be able to
use and plot co-ordinates in all 4 quadrantsuse negative numbers in contextfind the mid- point of a lineSolve problem using co-ordinatesSlide3
Co-Ordinate Systems
Used to specify a location
Latitude and LongitudeOrdinance Survey 6 figure Grid systemPost CodesGPSCartesian Co-ordinatesSlide4
Cartesian Co-ordinates
Devised by René Descartes (1596-1650)
Two axes at right anglesY-axis is verticalX-axis is horizontalThe point (0, 0) is called the Origin.Y’s Up and X is acrossSlide5
X and Y Co-ordinates
Co-ordinates are written as two numbers in brackets separated by a comma.
For example (2, 4) and (8, 7)The first number refers to the x-ordinateThe second number refers to the y-ordinateTogether they are called co-ordinatesSlide6
Plotting Co-ordinates
When plotting co-ordinates we always start from the origin
To plot the point (2, 3) we start at the origin and move two squares in the x (horizontal) direction and then three square in the y (vertical) direction.To plot the point (8, 9) we start at the origin and move eight squares in the x (horizontal) direction and then nine square in the y (vertical) direction.Slide7
Mid-Point
The mid-point of a line is the point in the middle of the line
You can find the co-ordinates of the mid-point by finding the average of the x ordinates at each end of the line and the y ordinates at each end of the line.Slide8
Finding the mid-point
Find the mid-point of the line from (2, 4) to (6, 2)
x ordinate = = 4y ordinate = = 3Co-ordinates of mid-point = (4, 3)Slide9
Horizontal Lines
For a horizontal line, all the points on the line have the same y ordinate.Slide10
Vertical Lines
For a vertical line, all the points have the same x ordinateSlide11
Properties of Shapes
Quadrilateral
Four sidesTrapeziumFour sidesOne pair of parallel sidesParallelogramFour sidesTwo pairs of parallel sidesOpposite sides equalSlide12
Properties of Shapes
Rhombus
Four sidesOpposite sides parallelAll sides equalRectangleFour sidesOpposite sides parallelFour right anglesSlide13
Properties of Shapes
Square
Four sidesOpposite sides parallelOpposite sides equalFour right anglesKiteFour sidesAdjacent sides equalSlide14
The Four Quadrants
Extending the x and y axes beyond the origin gives the negative scales.
The areas of the graph between axes are called quadrants. So now we have four quadrants in total.Co-ordinates in these quadrants are still described in terms of x and y. But now we can have negative values for x, y or both.For example in the below:The coordinates of A are (-2, 3).The coordinates of B are (-3, -4).Slide15
Alien Attack
How many Aliens can you kill!
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