Coordinate Geometry with Mr Downes

Ronan Downes, Aug 2, 2020

In 1637, the great mathematician philosopher René Descartes brought algebra and geometry together to form coordinated geometry. I

Table of Contents

  1. Plane
    1. Quiz on Rectangular Coordinates (2) 直角坐標測驗2
    2. Quiz on Points Lying on Vertical or Horizontal Line Segments 水平或鉛垂線段上的點
    3. Length of Horizontal or Vertical Line Segments 水平或鉛垂線段的長度
    4. Quiz on Rectangular Coordinates (1) 直角坐標測驗1
    5. Introduction to Rectangular Coordinates 直角坐標簡介
    6. Endpoint (x,y) of a Segment Given Midpoint & Other Endpoint
    7. Slope (Quiz) II
  2. Distance
    1. Distance Between Two Points (Length of Line Segment)
    2. Distance in the Coordinate Plane (With Hints)
  3. Midpoint
    1. Midpoint and Endpoint Coordinates Action!
    2. Midpoint Coordinates (II)
    3. Midpoint (x,y) of a Segment in the Coordinate Plane (Quiz)
  4. Slope
    1. Slope as rise and run
    2. Slope Formula
    3. Explore Slope Illustrator DBL
    4. Parallel Consequence? (VA)
    5. Slope (Quiz) I
  5. Line
    1. Standard Form
    2. Graph the Line
    3. Find the Intercepts of the Line
    4. Lines
    5. Equivalent Linear Equations
    6. Solving Equation with Expressions on Both Sides and Intersection of Two Graphs
  6. Problem Solving
  7. Limbo
    1. LZ 6.7.11.2 Plotting Polygons
    2. Define Parabola
    3. Introduction to Polar Coordinates 極坐標簡介
    4. Quiz on Polar Coordinates (1) 極坐標測驗1
    5. Quiz on Polar Coordinates (2) 極坐標測驗2

1.

Plane

  • 1. Quiz on Rectangular Coordinates (2) 直角坐標測驗2
  • 2. Quiz on Points Lying on Vertical or Horizontal Line Segments 水平或鉛垂線段上的點
  • 3. Length of Horizontal or Vertical Line Segments 水平或鉛垂線段的長度
  • 4. Quiz on Rectangular Coordinates (1) 直角坐標測驗1
  • 5. Introduction to Rectangular Coordinates 直角坐標簡介
  • 6. Endpoint (x,y) of a Segment Given Midpoint & Other Endpoint
  • 7. Slope (Quiz) II

1.1.

Quiz on Rectangular Coordinates (2) 直角坐標測驗2

gMath 互動數學教室[br][url=http://www.gmath.hk/]http://www.gmath.hk[/url]
– Alex CHIK

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2.

Distance

  • 1. Distance Between Two Points (Length of Line Segment)
  • 2. Distance in the Coordinate Plane (With Hints)

2.1.

Distance Between Two Points (Length of Line Segment)

Learn how to find the distance between two points (or length of line segment)
Can you form the formula for finding the distance between 2 points
– Lew W. S.

2.2.

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3.

Midpoint

  • 1. Midpoint and Endpoint Coordinates Action!
  • 2. Midpoint Coordinates (II)
  • 3. Midpoint (x,y) of a Segment in the Coordinate Plane (Quiz)

3.1.

Midpoint and Endpoint Coordinates Action!

Here, point A is an endpoint and point M is a midpoint. Move A and M where you'd like and slide the slider to find the other endpoint (B).
– Tim Brzezinski

3.2.

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4.

Slope

  • 1. Slope as rise and run
  • 2. Slope Formula
  • 3. Explore Slope Illustrator DBL
  • 4. Parallel Consequence? (VA)
  • 5. Slope (Quiz) I

4.1.

Slope as rise and run

– Ronan Downes, GeoGebra Materials Team

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5.

Line

  • 1. Standard Form
  • 2. Graph the Line
  • 3. Find the Intercepts of the Line
  • 4. Lines
  • 5. Equivalent Linear Equations
  • 6. Solving Equation with Expressions on Both Sides and Intersection of Two Graphs

5.1.

Standard Form

Place the red dot on the x-intercept and the blue dot on the y-intercept. Then, use the black dot to find a third point on the line.

1. Graph at least 10 different lines. Write the equations and draw the graphs on a separate sheet of graph paper. 2. Create a rule for finding the x and y intercepts from the equation. 3. How would you explain your rule to another student? 4. Why does your rule work?
– David Cox

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6.

Problem Solving


    This chapter does not contain any resources yet.

7.

Limbo

  • 1. LZ 6.7.11.2 Plotting Polygons
  • 2. Define Parabola
  • 3. Introduction to Polar Coordinates 極坐標簡介
  • 4. Quiz on Polar Coordinates (1) 極坐標測驗1
  • 5. Quiz on Polar Coordinates (2) 極坐標測驗2

7.1.

LZ 6.7.11.2 Plotting Polygons

– LearnZillion, IM 6 - 8 Math

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