The document outlines mathematical literacy for future managers, focusing on understanding patterns and relationships including numerical and geometric patterns. It covers concepts such as direct and indirect relationships, application of interest rates, and the representation of data through formulas and graphs. Key outcomes include the ability to solve problems using various representations of relationships.

1. Patterns and Relationships
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2. Patterns and relationships
• Patterns for different relationships
• Using information to solve problems
• Translate between different representations of
relationships
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3. Patterns for different
relationships
• Investigate and understand numerical and
geometric patterns
• Describe patterns in words and/or through
formulae
• Use formulae with confidence
• Generate patterns from their descriptions
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4. Background to patterns
• Arithmetic patterns
– Show a constant difference
– e.g. 2; 4; 6; 8; 10
• Geometric patterns
– Show a constant ratio
– e.g. 2; 4; 8; 16; 32
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5. Interest rates
• Interest rates form patterns
• The original amount represents 100% or 1.00
• The rate of interest is expressed as a decimal (e.g.
10% = 0.1) and is added to the 1.00
• We then take the original amount and multiply it
by this number (e.g.. 500 x 1.1)
• For each year, we multiply it by 1.1 each time
An interest rate of 10% means you
double your money every 7 ¼ years
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6. Direct and indirect
relationships
• Direct relationship
– An increase in one variable leads to an increase in the
other e.g. petrol and range
• Indirect relationship
– An increase in one variable leads to a decrease in the
other e.g. price of petrol and litres that can be bought
with R100
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7. Putting patterns into words
• Input and output values
– The value that you put into the formula is called the
input value (x-value)
– The value that you get out of the formula is called the
output value (y-value)
• e.g. multiply the number by 4 and add 5
y= 4 + 5
x
• This information can be plotted on a graph
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8. x y-
-value value
25
-4 -11 20
-3 -7 15
-2 -3 10
-1 1 5
y = 4x + 5
0 5 0
-4 -3 -2 -1 0 1 2 3 4
1 9 -5
2 13
-10
-15
3 17
4 21
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9. Using information to solve
patterns
• At the end of this outcome, you will be able to:
– Identify and select information from different
representations of relationships to solve problems
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10. Translate between different
representations of
relationships
• At the end of this outcome, you will be able to:
– Convert representations of relationships from one
form to another to solve problems
– Select and developed representations of relationships
to solve problems and to communicate or illustrate a
result
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11. Translate between different
representations of
relationships
• Converting patterns
• Selection of presentations
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