Analyse and Calculate Shapes in 2D and 3D Online Short course

Credits 4

COURSE OBJECTIVE

This unit standard is designed to provide credits towards the mathematical literacy requirements of the NQF at level 3. 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 in life or the workplace
• Explore 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.
• Measure, estimate, and calculate physical quantities in practical situations relevant to the adult 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 and temperature.
• Estimate the area and volume of simple irregular shapes and objects.
• 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 learner or the workplace.
• Calculations involving the effects on area and volume when altering linear dimensions.
• 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) and cylinders from measurements in practical situations relevant to the life of the learner 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.
• Calculations are carried out correctly.
• Symbols and units are used in accordance with SI conventions and as appropriate to the situation.
• Explore, describe and represent, interpret and justify geometrical relationships and conjectures.
• Explore, 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 use of tessellations and symmetry in artifacts and in architecture.
• Use rough sketches to interpret, represent and describe situations.
• Use and interpret scale drawings of plans (e.g., plans of houses or factories; technical diagrams of simple mechanical household or work related devices such as jacks, Nets of prisms and cylinders.
• Road maps relevant to the local community.
• 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.
• 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.
• Solutions are correct and are interpreted and validated in terms of the context of the problem.

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