0.1 Assessment and assessment support  (Page 5/8)

Level 3

• Learner is able to do basic operations on calculator.
• Learner is able to square and cube rational numbers as well as find square and cube roots of numbers.
• Learner is also able to calculate higher order powers and roots.
• Learner is able to do simple calculations involving fractions as well as correctly execute calculations involving mixed numbers.
• Learner works correctly with negative numbers.
• Learner is able to use brackets in certain calculations but has still not fully understood the order of operations that the calculator has been programmed to execute, hence the need for brackets.
• Learner is able to identify possible errors and problems in their calculations but needs assistance solving the problem.

Level 4

• Learner is able to do basic operations on calculator.
• Learner is able to square and cube rational numbers as well as find square and cube roots.
• Learner is also able to calculate higher order powers and roots.
• Learner is able to do simple calculations involving fractions as well as correctly execute calculations involving mixed numbers.
• Learner works correctly with negative numbers.
• Learner is able to work with brackets correctly and understands the need and use of brackets and the “= key” in certain calculations due to the nature of a scientific calculator.
• Learner is able to identify possible errors and problems in their calculations and to find solutions to these in order to arrive at a “more viable” answer.

Other short diagnostic tests

These are short tests that assess small quantities of recall knowledge and application ability on a day-to-day basis. Such tests could include questions on one or a combination of the following:

• Definitions
• Theorems
• Riders (geometry)
• Formulae
• Applications
• Combination questions

Geometry

1.Points A (-5 ; -3), B (-1 ; 2) and C (9 ; -6) are the vertices of ∆ABC.

1. Calculate the gradients of AB and BC and hence show that angle ABC is equal to ${90}^{°}$ . (5)
2. State the distance formula and use it to calculate the lengths of the sides AB, BC and AC of ∆ABC. (Leave your answers in surd form). (5)

Algebra

1. Write down the formal definition of an exponent as well as the exponent laws for integral exponents. (6)

2. Simplify: $\frac{2x^4{y}^8{z}^3}{\mathrm{4xy}}\times \frac{x^7}{y^3{z}^0}$ (4)

Trigonometry

1. A jet leaves an airport and travels 578 km in a direction of ${50}^{°}$ E of N. The pilot then changes direction and travels 321 km ${10}^{°}$ W of N.

1. How far away from the airport is the jet? (To the nearest kilometre) (5)
2. Determine the jet’s bearing from the airport. (5)

Exercises

This entails any work from the textbook or other source that is given to the learner, by the educator, to complete either in class or at home. Educators should encourage learners not to copy each other’s work and be vigilant when controlling this work. It is suggested that such work be marked/controlled by a check list (below) to speed up the process for the educator.

The marks obtained by the learner for a specific piece of work need not be based on correct and/or incorrect answers but preferably on the following: