# Draft outcomes and performance criteria of unit to replace H70S 46 Mathematics for Construction Technicians (SCQF level 6)

Outcome 1

Evaluate and transpose engineering formulae.

Performance criteria

• Evaluate engineering formulae correctly, giving appropriate units with results.
• Transpose engineering formulae correctly.

Outcome 2

Apply algebraic techniques to simplify mathematical expressions.

Knowledge and/or skills

• Expand and simplify correctly expressions involving brackets.
• Manipulate and simplify mathematical expressions containing algebraic fractions correctly.
• Apply the laws of indices correctly.

Outcome 3

Solve linear, simultaneous and quadratic equations.

Knowledge and/or skills

• Determine correctly the equation of a straight line from a given or constructed graph.
• Construct appropriate simultaneous equations (two equations in two unknowns) from given data and solve simultaneous equations correctly.
• Determine correctly the roots of quadratic equations using factorisation or formula.
• Solve a pair of simultaneous equations, one linear and one quadratic, correctly using substitution techniques.

Outcome 4

Evaluate and manipulate exponential and logarithmic functions.

Knowledge and/or skills

• Evaluate mathematical expressions containing exponential and logarithmic functions correctly.
• Apply the appropriate laws of logarithms to mathematical expressions containing exponentials and logarithms.
• Convert between exponential and logarithmic form correctly.