Shape and motion in 2D & 3D Space Online short course
Level 4 – Credit 4
This unit standard is designed to provide credits towards the mathematical literacy requirements of the NQF at level 4. The essential purposes of the mathematical literacy requirements are that, as the learner progresses with confidence through the levels, the learner will grow in:
- An insightful use of mathematics in the management of the needs of everyday living to become a self-managing person.
- An understanding of mathematical applications that provides insight into the learner`s present and future occupational experiences and so develop into a contributing worker.
- The ability to voice a critical sensitivity to the role of mathematics in a democratic society and so become a participating citizen.
People credited with this unit standard are able to:
- Measure, estimate, and calculate physical quantities in practical situations relevant to the adult with increasing responsibilities in life or the workplace
- Explore analyse and critique, describe and represent, interpret and justify geometrical relationships and conjectures to solve problems in two and three dimensional geometrical situations
WHAT YOU WILL LEARN:
- Measure, estimate, and calculate physical quantities in practical situations relevant to the adult.
- Measure, estimate, and calculate physical quantities in practical situations relevant to the adult with increasing
responsibilities in life or the workplace.
- Basic instruments to include those readily available such as rulers, measuring tapes, measuring cylinders or jugs, thermometers, spring or kitchen balances, watches and clocks.
In situations which necessitate it such as in the workplace, the use of more accurate instruments such as vernier callipers, micrometer screws, stop watches and chemical balances.
Quantities to estimate or measure to include length/distance, area, mass, time, speed acceleration and temperature.
Distinctions between mass and weight, speed and acceleration.
The quantities should range from the low or small to the high or large.
Mass, volume temperature, distance, and speed values are used in practical situations relevant to the young adult or the workplace.
Calculate heights and distances using Pythagoras’ theorem.
Calculate surface areas and volumes of right prisms (i.e., end faces are polygons and the remaining faces are rectangles)
cylinders, cones and spheres from measurements in practical
situations relevant to the adult or in the workplace.
- Scales on the measuring instruments are read correctly.
- Quantities are estimated to a tolerance justified in the context of the need.
- The appropriate instrument is chosen to measure a particular quantity.
- Quantities are measured correctly to within the least step of the instrument.
- Appropriate formulae are selected and used.
- Calculations are carried out correctly and the least steps of instruments used are taken into account when reporting final values.
- Symbols and units are used in accordance with SI conventions and as appropriate to the situation.
- Explore, analyse & critique, describe & represent, interpret and justify geometrical relationships.
- Explore, analyse and critique, describe and represent, interpret and justify geometrical relationships and
conjectures to solve problems in two and three dimensional geometrical situations.
- Applications taken from different contexts such as packaging, arts, building construction, dressmaking.
The operation of simple linkages and mechanisms such as car jacks.
Top, front and side views of objects are represented.
Use rough sketches to interpret, represent and describe situations.
The use of available technology (e.g., isometric paper, drawing instruments, software) to represent object.s
Use and interpret scale drawings of plans (e.g., plans of houses or factories; technical diagrams of simple mechanical household or work related devices,
Road maps relevant to the country.
International time zones.
The use of the Cartesian co-ordinate system in determining location and describing relationships in at least two dimensions.
- Descriptions are based on a systematic analysis of the shapes and reflect the properties of the shapes accurately, clearly and completely.
- Descriptions include quantitative information appropriate to the situation and need.
- 3-dimensional objects are represented by top, front and side views.
- Different views are correctly assimilated to describe 3-dimensional objects.
- Available and appropriate technology is used in producing and analysing representations.
- Relations of distance and positions between objects are analysed from different views.
- Conjectures as appropriate to the situation, are based on well-planned investigations of geometrical properties.
- Representations of the problems are consistent with and appropriate to the problem context. The problems are represented comprehensively and in mathematical terms.
- Results are achieved through efficient and correct analysis and manipulation of representations.
- Problem-solving methods are presented clearly, logically and in mathematical terms.
- Reflections on the chosen problem solving strategy reveal strengths and weaknesses of the strategy.
- Alternative strategies to obtain the solution are identified and compared in terms of appropriateness and effectiveness.
Course delivery and Requirements
This course can be started at any time and is self paced and completely online , You will need an Internet connection and a PC or Laptop to complete this course