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Listed under:  Mathematics  >  Geometry  >  Dimensions  >  Area
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Tiling problem

Use this diagnostic task to assess if students use an array structure when working out how many tiles fit in a rectangle.

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What is the area?

Use this diagnostic task to assess what students know about area and using the area formula.

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Reasoning Year 5 - Calculate

The focus of this activity is for students to recognise the relationship between the dimensions of a square or rectangle and the perimeter and area of these shapes. Students will need to use a systematic approach to show that they have found all the possible solutions.

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Measurement (Measure My Island) - Calculate

This activity allows students to learn about measuring by measuring attributes of irregular shapes. The use of informal units is an important step in order to develop understandings of what it looks like when measuring the attributes of length, perimeter and area.

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Leaf task

Use this diagnostic task to assess understanding of area and measuring the area of an irregular shape.

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Ice cream puddles

Use this diagnostic task to assess understanding of area and comparing the area of two shapes using a relevant approach.

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Fencing the yard

Students review and calculate perimeters and areas of rectangles.

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Area and perimeter: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Area and perimeter. Students estimate and measure perimeter and area using informal and formal units.

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Area and perimeter: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Area and perimeter. Students refine their understanding of area and perimeter and establish the formula for the area of a rectangle and use it to solve practical problems.

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Area and perimeter: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Area and perimeter. Students build on their knowledge of the area and perimeter of rectangles, parallelograms and triangles to rhombi, kites and trapezia. They identify and use the formulae for these to solve problems.

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Area and perimeter: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Area and perimeter. Students estimate and measure perimeter in metric units for length and area of quadrilaterals using grid squares and square centimetres. They solve practical problems involving the perimeter and area of regular and irregular shapes.

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Area and perimeter: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Area and perimeter. Students should be familiar with the concept of area and how to find the area of a rectangle. They will extend this knowledge to find the formulas for the areas of other shapes, such as a parallelogram and triangles.

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Circles and cylinders: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Circles and cylinders. Students recall and revise circumference, radius and diameter from Year 7. They understand the relationships between these measures and can use relevant formulae to solve problems.

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Area and perimeter video

Use this video to connect area and perimeter to real world applications to set the context for why we are learning about area and perimeter.

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reSolve: Area and Perimeter

This series of three lessons explores the relationship between area and perimeter using the context of bumper cars at an amusement park. Students design a rectangular floor plan with the largest possible area with a given perimeter. They then explore the perimeter of a bumper car ride that has a set floor area and investigate ...

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reSolve: Authentic Problems: Expanded Square

This sequence of four lessons explores concepts around informal area and symmetry. Students design an 'expanded square' where approximately half the area of the original square is flipped to the outside. The lessons provide opportunities for students to devise and use methods to informally measure area, record their mathematical ...

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reSolve: Monte Carlo Simulations

This sequence of two lessons explores how statistical techniques that rely on randomly generated data can be used to solve problems. In the first lesson, students compare different methods for calculating the area of an irregular shape, using the context of oil spill maps. They are introduced to the Monte Carlo method for ...

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TIMES Module 10: Measurement and Geometry: introduction to measurement - teacher guide

This is a 16-page guide for teachers. It provides an introduction to the initial ideas of measurement, and introduces the measurement of length, area, volume and time.

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TIMES Module 17: Measurement and Geometry: the circle - teacher guide

This is a 15-page guide for teachers. In the module the formulas for finding the circumference and area of a circle are introduced. The history and significance of the number pi is also included in this module.

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TIMES Module 11: Measurement and Geometry: area, volume and surface area - teacher guide

This is a 15-page guide for teachers containing explanations of the derivation of formulas for the areas of parallelograms, trapeziums, rhombuses and kites. Formulas for the volumes and surface areas of prisms and cylinders are obtained. Applications of these formulas are given. A history of the development of these concepts ...