Educator and Tagging Information:
Learning Area:
Maths
Resource Name:
Maths
Assessment Exemplar Number:
M8.67
Item:
67
Phase:
Senior
Grade:
8
Learning Outcome(s) and Assessment Standard(s):
Learning Outcome 2: Patterns, Functions and Algebra
Assessment Standard: We know this when the learner
8.2.1 (b) Investigates and extends numeric and geometric patterns looking for a relationship or
rules, including patterns: represented in physical or diagrammatic form; not limited to sequences
involving constant difference or ratio.
8.2.4 Constructs mathematical models that represent, describe and provide solution to problem
situations, showing responsibility toward the environment and the health of others (including
problems within human rights, social, economic, cultural and environmental contexts).
Learning Space:
Assessment
Hyperlinks:
To be completed later.
Number of questions for exemplar:
1
Rating:
Easy questions:
Medium questions:
Question 1
Difficult questions:
Assessment Task
Questions:
1.
The table shows information about a company’s policy on their salary scales. The policy is
based on the number of years that the employee has been working for the company.
What will an employee be earning who has been employed for 10 years?
Years of
employment
Starting Salary
1
2
3
A)
B)
C)
D)
R360 247,35
R351 500,00
R479 842,35
R590 256,98
Annual salary
package
R185 000
R203 500
R223 850
R246 235
Solution
1.
If we look for pattern here, it becomes obvious that the increase from year to year is not
linear. Investigating the increase, we see that every year the salary will increase by 10%. The
increase will be a factor of (1,1)10. This then means that R185 000 as a starting salary
becomes 185 000(1,1)10=R479 842,35. Answer is (C).
Expressing and exploring the relationship recursively is a skill that most learners already possess.
Learners need to investigate how the growth in this sequence of salaries is happening. Here the
tools are not suggested.
Appendix of Assignment Tools
Growth – Exponential