Course Title: Use technical mathematics (basic)

National Element Code & Title:

EDX130B Use technical mathematics (basic)

Performance Criteria:

1.1 Calculations involving fractions and mixed numbers are performed.
1.2 Calculations involving decimals are performed.
1.3 Vocational mathematical problems involving fractions and decimals are solved
 

Performance Criteria:

2.1 A ratio can be formed from information in a practical problem and expressed in its lowest terms.
2.2 A quantity can be divided into its lowest terms.
2.3 Simple practical problems involving proportional quantities are solved.
2.4 Quantities are converted between fraction, percent and decimal forms.
2.5 Vocational problems are solved involving precent of a
quantity, one quantity as a percent of another and a quantity when a percent is known.
2.6 Percentage increases and decreases of a quantity are calculated
 

Performance Criteria:

3.1 The lengths and perimeters of rectangles, circles and combined shapes are calculated.
3.2 The areas of rectangles, triangles, circles and combined shapes are calculated.
3.3 Elementary problems requiring the use of the concepts of measurement and mensuration are solved.
 

Performance Criteria:

4.1 Diagrams are drawn to illustrate the meaning of a line, line segment, ray, parallel and perpendicular lines and an angle.
4.2 Angles in a diagram are measured using a protractor and are correctly named and classified.
4.3 The size of an angle is determined in a diagram involving adjacent and vertically opposite angles and parallel lines.
4.4 A ruler and set square are used to construct a line parallel or perpendicular to another line through a given points not on the line.
4.5 A ruler and protractor are used to construct a diagram involving lines and angles, given a written description.
4.6 A ruler and a pair of compasses are used to construct the bisector of an angle, the perpendicular bisector of a line segment and an angle equal in size to another angle.
4.7 Non routine problems requiring the use of elementary geometric principles can be solved.
 

Performance Criteria:

5.1 Triangles are identified by side or angle.
5.2 Triangles are constructed from given data.
5.3 Medians and centroids, altitudes and orthocentres, circum-centre and circum-circle are identified and constructed.
5.4 The angle and side properties of a triangle are used ti solve triangles.
5.5 Pythagorus theorem is used to find the length of an unknown side and to test whether a triangle is right angled.
5.6 The four criteria for congruent triangle are used.
5.7 The three criteria for similar triangles are used.
5.8 The areas of triangles are calculated using appropriate formulae.
5.9 Quadrilaterals are identified and classified.
5.10 Quadrilaterals are constructed form given data.
5.11 The properties of a quadrilateral are used to find unknown angles and sides in a quadrilateral.
5.12 The area of quadrilaterals is calculated.
 

Performance Criteria:

6.1 The equation of a straight line is determined by measuring the gradient and finding the y intercept.
6.2 The equation of a straight line is determined given the coordinates of two points on the line.
6.3 The graph of a straight line is sketched given in the form y = ax + b.
6.4 The simultaneous solution of a pair of linear equations is determined graphically.
6.5 Word expression are converted into mathematical statements that define relationships.
6.6 Interpolation and extrapolation are carried out for the line of best fit noting limitations.
6.7 The meaning of the gradient and the y-intercept of a straight line is interpreted.
6.8 Non-routine problems are solved using the concepts and techniques of coordinate geometry.
6.9 Empirical data is collected and a summary of results written when fitting a straight line to the data.
 

Performance Criteria:

7.1 The unknown side or angle of a right-angled triangle is determined using sine, cosine or tangent of an angle.

Performance Criteria:

8.1 The number line is sketched and rational and irrational number location are indicated.
8.2 The number line is used to graphically establish the location of irrational numbers.
8.3 Arithmetic problems are solved involving the correct order of operations.
8.4 Problems involving algebraic functions are solved, grouping symbols and using the correct order of operations.
8.5 A graphics calculator is used to solve problems involving the use of grouping symbols.
8.6 Values are substituted into linear equations to solve simple practical engineering problems
8.7 Simple linear equations are derived and solved involving simple engineering problems.
8.8 Simple simultaneous equations are solved involving simple engineering problems.
 

Performance Criteria:

9.1 Given values are substituted into simple non-linear formulae to find physical quantities.
9.2 Non-linear formulae are manipulated using the four mathematical operations and the root, in their correct order in simple cases where the subject occurs at most twice.
 

‘Mathematics for technicians’, by Blair Alldis, 6th Edition

To be given in class/online course blackboard