Connection between algebra and geometry through graphs of lines and curves

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Teaching Outlines

Connection between algebra and geometry through graphs of lines and curves

Learning objectives

• connection between algebra and geometry through graphs of lines and curves.
• Enabling geometric problems to be solved algebraically
• Geometrically visualising algebra
• introducing to the Cartesian coordinate plane
• plotting points on the plane
• reading coordinates for a point from a graph

Notes for teachers

A plane is a flat surface which can be extended in any directions
coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.

Activity 1

1. Familiarising to Cartesian Coordinate system - Activity No 1 [This source taken from mathopenref.com]

To introduce the idea, consider the grid on the right. The columns of the grid are lettered A,B,C etc. The rows are numbered 1,2,3 etc from the top. We can see that the X is in box D3; that is, column D, row 3. D and 3 are called the coordinates of the box. It has two parts: the row and the column. There are many boxes in each row and many boxes in each column. But by having both we can find one single box, where the row and column intersect.

The above activity can also be done in a class room by asking to find coordinates of each student's position

Activity 2

1. Idea of introducing to coordinates - Activity No2

[Play with the geogebra applet to familiarise with coordinates]

Concept #

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity No #1 Concept Name - Activity No.
2. Activity No #2 Concept Name - Activity No.

Math Fun

[Back to Co-ordinate geometry Page Link]