CONTENTS

UNIT 10

UNIT 10: FUNCTIONS

1. To know and use the system of Cartesian coordinates.
2. To recognise, represent and analyse linear functions.

1.1. To locate points on a plane from their coordinates and name points on the plane by writing their coordinates.
2.1. To recognise and represent a proportionality function, from the equation, and obtain the slope of the corresponding straight line.
2.2. To recognise and represent a linear function from the equation and obtain the slope of the corresponding straight line.
2.3. To obtain the slope of a straight line from its graph.
2.4. To identify the slope of a straight line and the point of intersection with the vertical axis from its equation, given in the form y = mx + n.
2.5. To obtain the equation of a straight line from the graph.
2.6. To recognise a constant function from its equation or graphic representation. To represent the straight line y = k, or write the equation of a straight line parallel to the horizontal axis.
Contents

GRAPHS
• Graphs on Cartesian axes to relate magnitudes.
– Using the appropriate vocabulary to describe and quantify functional situations.

THE PROPORTIONALITY FUNCTION y = mx
Proportionality functions of the type y = mx.
– Use of the function y = mx to represent relations of proportionality.
• Slope of a straight line.
– Deduction of the slopes of straight lines from graphic representations or from two of its points.

THE LINEAR FUNCTION y = mx + b

• Linear functions: y = mx + b.
– Identification of y = mx + b with a straight line.
– Identification of the role represented by the parameters a and b of the equation y = ax + b.
– Representation of a straight line given by an equation and obtaining the equation from a straight line drawn on squared paper.

THE CONSTANT FUNCTION y = k
• The constant function y = k.
– Recognition of the type of graph corresponding to a linear or constant function.

RESOURCES:

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