SayPro SAQA Training Material Solve problems involving sequences and series in real and simulated situations 7483 NQF Level 04 Credits 02

Description

PURPOSE OF THE UNIT STANDARD 

This unit standard will be useful to people who aim to achieve recognition at some level in Further Education and Training or to meet the Fundamental requirement of a wide range of qualifications registered on the National Qualifications Framework. People credited with this unit standard are able to: Use sequences and series to model real and simulated situations and interpret their findings Apply models based on sequences and series to solve problems Investigate and interpret convergence of sequences and infinite geometric series. 

UNIT STANDARD RANGE 

This unit standard covers the following sequences and series: Arithmetic, geometric, and the binomial theorem More detailed range statements are provided for specific outcomes and assessment criteria as needed. 

SPECIFIC OUTCOME  

Use sequences and series to model real and simulated situations and interpret their findings.  This outcome includes the requirement to: Find general terms Find finite and infinite sums. 

ASSESSMENT CRITERION 

 Models are correct representations of the situations and include findings of general terms.   Representations are presented clearly and notation for expressing numbers and symbols is consistent with mathematical conventions.  includes the use of sigma notation for the binomial, only the finite expansion. Interpretations are based on sound reason and are supported by the data.  Apply models based on sequences and series to solve problems.  Problems include the calculation of annuities and population growth Common contexts include compound interest, simple interest, depreciation, and inflation.   Models used are appropriate to the problem.   Methods of calculation and approximations are appropriate to the problem types.   Formulae used for calculations and series are appropriate to the situation.  Methods used to make sense of and solve problems are efficient and solutions obtained are verified in terms of the context or problem.  Formal tests of convergence are not required in the investigation  Investigations are systematic and effective in providing information.   Notation for expressing numbers and symbols is consistent with mathematical conventions.   Interpretations are consistent with the information and the nature of the sequences and series.