# Mathematics Unit – My Dream Home: Financial, Measurement and Problem Solving Lessons

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5188 # Summary of Unit of Work:

The focus of this unit is to apply measurement concepts within a real life scenario. Students design their own dream house while using many mathematical and design processes with the final outcome being a complete house design with all costing included. The unit draws on both mathematical and design concepts such as measuring, predicting, estimating, calculating, designing, communicating, problem solving, generating ideas and communicating with others. Students will learn the processes and skills involved in house design.

### Mathematics – Year 5:

• ACMMG108 Using units of measurement: Choose appropriate units of measurement for length, area, volume, capacity and mass.
• ACMMG109 Using units of measurement: Calculate the perimeter and area of rectangles using familiar metric units.
• ACMNA099 Number and place value: Use estimation and rounding to check the reasonableness of answers to calculations

### AC Mathematics – Year 6:

• ACMNA123 Number and place value: Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers.
• ACMNG136 Using units of measurement: Convert between common metric units of length, mass and capacity.
• ACMNG137 Using units of measurement: Solve problems involving the comparison of lengths and areas using appropriate units.

### Technologies (Design and Technologies) Year 5:

• ACTDEP025 Generate, develop, communicate and document design ideas and processes for audiences using appropriate technical terms and graphical representation techniques.

### Technologies (Design and Technologies) Year 6:

• ACTDEP025 Generate, develop, communicate and document design ideas and processes for audiences using appropriate technical terms and graphical representation techniques.

### Key Understandings:

• Various Measurements such as area and perimeter are important when designing houses.
• It is important that measurements be exact in order to interpret costing, results or data.
• Area and perimeter can be measured in a variety of units (mm, cm, m, inch).
• Problem solving includes formulating and solving authentic problems using measurements.

• How exact does measurement need to be when designing a house?
• How is perimeter and area used in real life situations?
• What mathematical processes are involved within building houses?
• What changes can I make to my house in order to get best prices?

### Skills Developed:

• Explaining plans for simple budgets
• Using appropriate units of measurement for length and area
• Calculating perimeter and area of rectangles
• Listing and communicating probabilities using decimals and percentages