Introduction to equations

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

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Teaching Outlines

Concept #1 : Generalizing the form of a linear equation from data patterns

Learning objectives

1. Recognise a pattern in the set of data(in this class a set of coordinates)
2. Recognise the variation(proportion/nonproportion)
3. Recognise varying and constant terms
4. Recognise dependency of one varible with the other
5. Establishing the relationship between a variable and a constant
6. Generalise the relationship and expressing symbolically
7. Explore the possibility of having different patterns
8. Understand that every number pattern can be represented on the graph
9. Joining the coordinates leads to a straight line or sometimes to non-Linear set
10. Interprets the relationship between the set of points on a straight line and on the non-linear set.
11. Every pair of points when joined gives a straightline(infinite points can be located between two points
12. Relation between the coordinates of set of points which makes a straightline is a Linear Equation /Otherwise Non-Linear

Notes for teachers

1. Every Linear Equation represents a straightline .If the relationship(pattern)between two quantities can be represented as straightline then the relationship is in the form of linear equation
2. A teacher can develop a lesson on Linear Equation with Geogebra application

Activity No #

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1. Students have been introduced to graph(pictographs,bargraph,Histograms..)
2. Students can make the difference (Relationship)between axes and quadrants
3. Refer to the Teaching Outline of Introduction to Coordinates
4. Students are able to locate a given point on the graph if a set of coordinates are given
5. Students are able to recognise coordinates of a given point on the graph
6. Students can differentiate position of a point on the (NL)and also on the Quadrants

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Activity No #

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Concept #

Activity No #

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Activity No #

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• Estimated Time
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• Multimedia resources
• Website interactives/ links/ / Geogebra Applets
• Process/ Developmental Questions
• Evaluation
• Question Corner

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