Continuous and discrete graphs Simplified Revision Notes for NSC Mathematical Literacy

Revision notes with simplified explanations to understand Continuous and discrete graphs quickly and effectively.

Learn about Continuous and discrete graphs for your NSC Mathematical Literacy Exam. This Revision Note includes a summary of Continuous and discrete graphs for easy recall in your Mathematical Literacy exam

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Continuous and discrete graphs

1. Understanding Continuous and Discrete Graphs

Graphs can be classified as continuous or discrete, depending on the type of data they represent.

Continuous Graphs

Represent measurements (e.g., time, distance, weight).
Can have decimal values (e.g., 2.5 kg, 3.8 minutes).
Plotted with solid lines to show that values between points are included.
Example: A graph showing the distance travelled over time.

Discrete Graphs

Represent countable quantities (e.g., number of people, number of items sold).
Only whole numbers are used (e.g., 1 person, 2 necklaces).
Plotted with dotted lines or separate points, as values between points do not exist.
Example: A graph showing the number of passengers on a bus trip.

Tips:

Measurements → Continuous Graphs
Countable values → Discrete Graphs

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2. Worked Example: Interpreting a Graph

A shop tracks the sales of necklaces over a week.

Key Questions & Answers:

On which day were the most necklaces sold?
Tuesday (17 necklaces).
On which day were no sales made?
Sunday (no shopping).
Between which two days was the biggest sales increase?
Monday to Tuesday (8 to 17, increase of 9).
Between which two days did sales stay the same?
Thursday to Friday.
Why is this graph a discrete graph?
Necklaces are sold in whole numbers, not fractions.

3. Activity: Analysing a Graph

A student, Buhle, graphs her English and Mathematical Literacy marks over several tests.

Key Observations:

Highest mark: 68-70% (Mathematical Literacy).
Stronger subject: Mathematical Literacy.
Trend over time: Overall, results are declining.
Misleading graph elements: The scale of axes may exaggerate changes.

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4. Key Takeaways

Continuous Graphs: Represent measurements (solid lines).
Discrete Graphs: Represent whole numbers (dotted lines).
Interpreting graphs helps in understanding trends, comparisons, and patterns.

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