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Evidence Guide: MEM30012 - Apply mathematical techniques in a manufacturing engineering or related environment

Student: __________________________________________________

Signature: _________________________________________________

Tips for gathering evidence to demonstrate your skills

The important thing to remember when gathering evidence is that the more evidence the better - that is, the more evidence you gather to demonstrate your skills, the more confident an assessor can be that you have learned the skills not just at one point in time, but are continuing to apply and develop those skills (as opposed to just learning for the test!). Furthermore, one piece of evidence that you collect will not usualy demonstrate all the required criteria for a unit of competency, whereas multiple overlapping pieces of evidence will usually do the trick!

From the Wiki University

 

MEM30012 - Apply mathematical techniques in a manufacturing engineering or related environment

What evidence can you provide to prove your understanding of each of the following citeria?

Use concepts of arithmetic in the solution of engineering problems

  1. Follow standard operating procedures and comply with work health and safety (WHS) requirements at all times
  2. Convert units of physical quantities to facilitate engineering calculations
  3. Perform calculations to solve problems involving rational and irrational numbers
  4. Use scientific notation to represent numbers
  5. Solve engineering problems involving algebraic expressions with one independent variable using mathematical operations in their correct order
  6. Check calculations for reasonableness using estimating and approximating techniques
Follow standard operating procedures and comply with work health and safety (WHS) requirements at all times

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Convert units of physical quantities to facilitate engineering calculations

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Perform calculations to solve problems involving rational and irrational numbers

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Use scientific notation to represent numbers

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Solve engineering problems involving algebraic expressions with one independent variable using mathematical operations in their correct order

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Check calculations for reasonableness using estimating and approximating techniques

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Use two-dimensional geometry to solve practical problems

  1. Convert angles expressed in degrees to radians and vice versa
  2. Calculate the perimeter, area, length and angles of two-dimensional figures
  3. Calculate the volume and surface area of complex figures
  4. Convert points identified in terms of cartesian co-ordinates to polar co-ordinates and vice versa
Convert angles expressed in degrees to radians and vice versa

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Calculate the perimeter, area, length and angles of two-dimensional figures

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Calculate the volume and surface area of complex figures

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Convert points identified in terms of cartesian co-ordinates to polar co-ordinates and vice versa

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Use trigonometry to solve practical problems

  1. Calculate the lengths of the sides of right-angled triangles using basic trigonometry functions
  2. Determine angles in a right-angled triangle given the lengths of two sides using inverse trigonometry functions
  3. Determine the lengths of the sides of acute and obtuse angled triangles given one side and two angles using the sine rule
  4. Determine the lengths of the sides of acute and obtuse angled triangles given two sides and one angle using the cosine rule
Calculate the lengths of the sides of right-angled triangles using basic trigonometry functions

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Determine angles in a right-angled triangle given the lengths of two sides using inverse trigonometry functions

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Determine the lengths of the sides of acute and obtuse angled triangles given one side and two angles using the sine rule

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Determine the lengths of the sides of acute and obtuse angled triangles given two sides and one angle using the cosine rule

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Graph linear functions

  1. Solve linear functions graphically and determine equations of straight lines from the slope and one point or two points
  2. Solve two linear functions simultaneously, both algebraically and geometrically
  3. Determine the length and midpoint of a line segment
Solve linear functions graphically and determine equations of straight lines from the slope and one point or two points

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Solve two linear functions simultaneously, both algebraically and geometrically

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Determine the length and midpoint of a line segment

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Solve linear and quadratic equations

  1. Solve quadratic equations
  2. Solve simultaneous linear and quadratic equations
Solve quadratic equations

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Solve simultaneous linear and quadratic equations

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Perform basic statistical calculations

  1. Calculate mean, median and mode from given data
  2. Calculate and interpret standard deviation, employing graphical representation
Calculate mean, median and mode from given data

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Calculate and interpret standard deviation, employing graphical representation

Completed
Date:

Teacher:		 Evidence:

 

 

 

 

 

 

 

Assessed

Teacher: ___________________________________ Date: _________

Signature: ________________________________________________

Comments:

 

 

 

 

 

 

 

 

Instructions to Assessors

Required Skills and Knowledge