Homework Activity - Anzac Day Break

Please complete and submit on Monday 29th April

Revision Task

Lesson 1 - Sequences and Recurrence Relations

Learning Intentions

To be able to….

• generate a sequence of terms recursively.

• generate a sequence of numbers from a worded description using a calculator.

• generate a sequence from a recurrence relation.

• generate a sequence of numbers from a recurrence relation using a calculator.

• number and name terms in a sequence.

Tasks

1. Complete the worked solutions to the notes on Ex 7a

Homework

Complete Ex 7a

Edrolo Link

Recurrence Relations and their graphs: https://edrolo.com.au/s/2743957/

Lesson 2 - Modelling Linear Growth and Decay

Learning Intentions

To be able to….

• graph the terms of a linear growth/decay sequence.

• model simple interest loans and investments using recurrence relations.

• use a recurrence relation to analyse a simple interest investment.

• model and analyse flat rate depreciation using a recurrence relation.

• model and analyse unit cost depreciation using a recurrence relation.

• 
  

Tasks

1. Complete the worked solutions to the notes on Ex 7b

2. Complete Ex 7b

Homework

Complete Ex 7b

Edrolo Link

Simple Interest: https://edrolo.com.au/s/2743965/

Flat Rate and Unit Cost Depreciation: https://edrolo.com.au/s/2743960/

Lesson 3 - Using an Explicit Rule for Linear Growth and Decay

Learning Intentions

To be able to….

• convert a recurrence relation to an explicit rule.

• model a simple interest investment using an explicit rule.

• use a rule to determine the value of a simple interest loan or investment.

• model flat rate depreciation of an asset using an explicit rule.

• use a rule for the flat rate depreciation of an asset.

• use an explicit rule for unit cost depreciation.

Tasks

1. Complete the worked solutions to the notes on Ch 7c

Homework

Complete Ex 7c

Lesson 4 - Modelling Geometric Growth and Decay

Learning Intentions

To be able to….

• graph the terms of a geometric sequence.

• model compound interest with a recurrence relation.

• model reducing balance depreciation with recurrence relations.

• use reducing balance depreciation with recurrence relations.

• use a recurrence model for geometric growth and decay

Tasks

1. Complete the worked solutions on Ex 7d

Homework

Complete 7d

Edrolo Link

Reducing Balance Depreciaton Recurrence Relations: https://edrolo.com.au/s/2743961/

Lesson 5 - Using an explicit rule for geometric growth and decay and Effective Interest Rates

Learning Intentions

To be able to….

• write explicit rules for geometric growth and decay.

• use an explicit rule to find the value of an investment after n years.

• calculate the value and total depreciation of an asset after a period of reducing balance depreciation.

• use a calculator to solve geometric growth and decay problems.

• convert nominal (annual) interest rates to compounding period interest rates.

• model loans with di erent compounding periods using recurrence relations.

• model investments with di erent compounding periods using recurrence relations.

• compare loans and investments using e ective interest rates.

• calculate effective interest rates using a CAS calculator.

Tasks

1. Complete the worked solutions to Ex 7e and Ex 7f

Homework

Complete Ex 7e and Ex 7f

Edrolo Link

Compound Interest: https://edrolo.com.au/s/2743966/

Nominal and effective interest rates: https://edrolo.com.au/s/2743967/

Depreciation - Finding the Rule: https://edrolo.com.au/s/2743970/