Patterns and Relationships
Future Managers Mathematical Literacy 2 1

Patterns and relationships
• Patterns for different relationships
• Using information to solve problems
• Translate between different representations of
relationships
Future Managers Mathematical Literacy 2 2

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
Future Managers Mathematical Literacy 2 3

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
Future Managers Mathematical Literacy 2 4

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
Future Managers Mathematical Literacy 2 5

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
Future Managers Mathematical Literacy 2 6

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
Future Managers Mathematical Literacy 2 7

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
Future Managers Mathematical Literacy 2 8

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
Future Managers Mathematical Literacy 2 9

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
Future Managers Mathematical Literacy 2 10

Translate between different
representations of
relationships
• Converting patterns
• Selection of presentations
Future Managers Mathematical Literacy 2 11