NSW Syllabuses

# Stage 5 - Activity 1

### Best airfare deals

#### Description of activity

Students ‘consider the best value fare given the price of nine return airfares from Sydney, and suggest an appropriate fare for a new journey, given the distance’.
Students will complete the attached worksheet.
Possible prompts to assist student engagement:

• Is there a pattern in the table?
• Can you compare two fares to get started?
• Compare the costs for travel to Darwin and Perth. Which is the best value?
• If you double the distance, does the price double?
• How much does it cost for each kilometre travelled on the flight to Adelaide?

(Material developed by Dr Doug Clarke for the NSW Government.)

#### Context

This assessment activity could be presented to students at the end of a unit on Ratios and Rates, where students have been investigating real-life situations and applying their knowledge, skills and understanding in a variety of contexts.

#### Objectives

• develop understanding and fluency in mathematics through inquiry, exploring and connecting mathematical concepts, choosing and applying problem-solving skills and mathematical techniques, communication and reasoning
• develop efficient strategies for numerical calculation, recognise patterns, describe relationships and apply algebraic techniques and generalisation

#### Outcomes

MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-2WM interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems
MA5.3-1WM uses and interprets formal definitions and generalisations when explaining solutions and/or conjectures
MA5.3-2WM generalises mathematical ideas and techniques to analyse and solve problems efficiently
MA5.3-3WM uses deductive reasoning in presenting arguments and formal proofs
MA5.2-5NA recognises direct and indirect proportion, and solves problems involving direct proportion
MA5.3-4NA draws, interprets and analyses graphs of physical phenomena

#### Criteria for assessing learning

(These criteria would normally be communicated to students with the activity.)
Students will be assessed on their ability to:

• analyse a real-life situation and apply appropriate problem-solving strategies
• give clear and appropriate explanations.