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In this unit, you will be creating a design for a physical space, and calculating relevant figures including total cost.
To help you achieve this, you will be learning about Area and Volume of shapes and working with triangles.
A 12 meter, maori-inspired, 3D printed sculpture, now visible in Rotorua.
Early Māori measurement units and methods.
Perimeter and Circumference
Perimeter and Circumference
Calculating the perimeter of a shape
Calculating the perimeter of a shape
Circumference of a Circle
Circumference of a Circle
Remember that Diameter is twice the length of the radius! The circumference equation for Diameter is
Circumference = Diameter x pi
Video on Perimeter
Video on Circumference (and Area of a circle)
Practice questions
Practice questions
Maths -> Browse all content -> NCEA level 1 -> 1.5 Measurement -> 2. Perimeter
Right angled triangles: Pythagoras' Theorem
Area of Triangles, Quadrilaterals and Circles
Area of Triangles, Quadrilaterals and Circles
Areas of 2D (flat) shapes
Areas of 2D (flat) shapes
Click here to watch this video to learn about how to calculate the area of some common 2D shapes.
rectangles
triangles
parallelograms
trapeziums
Surface Area of common 3D solids
Surface Area of common 3D solids
The Surface Area of 3D solids is the sum of the 2D areas of each face of the solid. You may need to use Trigonometry or Pythagoras to find all relevant lengths to calculate the areas.
Practice questions
Practice questions
Volumes of common 3D solids
Volumes of common 3D solids
Scaling and Trig ratios
Scaling and Trig ratios
Using a 2D scale and basic trigonometric ratios allows us to convert large dimensions into manageable lengths on paper. For additional accuracy, basic trigonometric ratios—sine, cosine, and tangent—help calculate unknown side lengths or angles within right triangles, essential when working with angled views or sloped features.
Combine all the skills to create your own small town!
Combine all the skills to create your own small town!
This activity guides participants in designing a small-town model using Tinkercad combined with the measurement skills learned. Participants will utilize Tinkercad's shapes and features to create buildings, green spaces, and other town elements based on the specifications provided. Emphasis will be placed on accurately scaling structures and maintaining proportions for 3D printing.
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