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How Grid Thinking Developed into Coordinate Geometry

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Orienting Yourself: The Use of Coordinates · Understanding coordinates · 4:12

You'll learn: Trace the introduction’s progression from grids and navigation to zero, negative numbers and algebra with geometry.

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How Grid Thinking Developed into Coordinate Geometry

4:12

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How Grid Thinking Developed into Coordinate Geometry

You'll learn: Trace the introduction’s progression from grids and navigation to zero, negative numbers and algebra with geometry.

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Same topic

Understanding coordinates

9

Why Do We Need Coordinates?
4:04
Why Do We Need Coordinates?
You'll learn: Describe an exact location using a reference system and two numbers.
From a Number Line to a Coordinate Plane
3:46
From a Number Line to a Coordinate Plane
You'll learn: Explain one-dimensional and two-dimensional location. Show why a plane needs two coordinates.
Meet the x-Axis, y-Axis and Origin
3:40
Meet the x-Axis, y-Axis and Origin
You'll learn: Identify horizontal and vertical axes, perpendicular intersection, origin (0,0) and equal unit marks.
Positive and Negative Directions on the Plane
3:50
Positive and Negative Directions on the Plane
You'll learn: Connect right/up to positive values and left/down to negative values.
What Happens When One Coordinate Is Zero?
3:32
What Happens When One Coordinate Is Zero?
You'll learn: Locate points of the form (x,0), (0,y) and (0,0), including decimal coordinates.
What Do the Two Numbers in (x,y) Mean?
3:54
What Do the Two Numbers in (x,y) Mean?
You'll learn: Explain horizontal and vertical positions and perpendicular guides to the axes.
Four Quadrants: Finding a Point from Its Signs
3:32
Four Quadrants: Finding a Point from Its Signs
You'll learn: Explain quadrant numbering and the four sign combinations.
Read a Point, Plot a Point—and Check It
3:55
Read a Point, Plot a Point—and Check It
You'll learn: Locate points from coordinates and read coordinates from a graph.
Does Swapping the Coordinates Change the Point?
3:53
Does Swapping the Coordinates Change the Point?
You'll learn: Explain why ordered pairs depend on order and coincide after swapping only when x=y.

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Exploring Reiaan’s room

6

Turn a Room into a Two-Dimensional Map
4:02
Turn a Room into a Two-Dimensional Map
You'll learn: Explain floor plans, scale and object corners. Identify information a floor plan cannot specify.
Use Coordinates to Measure and Compare Doorways
4:00
Use Coordinates to Measure and Compare Doorways
You'll learn: Read endpoints, find doorway widths and compare the room and bathroom doors.
Three Table Feet Are Given—Where Is the Fourth?
3:48
Three Table Feet Are Given—Where Is the Fourth?
You'll learn: Complete an axis-aligned rectangle, find length and width and discuss placement.
Map the Bathroom Using Negative Coordinates
4:16
Map the Bathroom Using Negative Coordinates
You'll learn: Read bathroom and shower corners, identify the shower shape and allocate spaces.
Will the Bathroom Door Hit the Wardrobe?
4:00
Will the Bathroom Door Hit the Wardrobe?
You'll learn: Reason about a door’s hinged movement and what changes when it is widened.
Place a Dining Table Exactly in the Centre
4:10
Place a Dining Table Exactly in the Centre
You'll learn: Extend the room plan, identify dining-room corners and use equal margins for a centred table.