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Listed under:  Mathematics  >  Geometry  >  Curves
Teacher resource

Coordinate geometry

This is a website designed for both teachers and students that addresses coordinate geometry from the Australian Curriculum for year 9 students. It contains material that shows the connection between algebra and geometry through graphs of lines and curves. There are pages for both teachers and students. The student pages ...

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Spiral away with Fibonacci

Do you know the Fibonacci sequence? Learn how to draw a cool spiral as Vi Hart shows you an easy way. See how a spiral is an example of Fibonacci numbers. Vi shows examples of spirals from nature. You might be surprised at some of her examples! This is the first in a series.

Interactive resource

EagleCat: parabola

Explore the graphs of quadratic equations in two forms: (a) the turning point form, y = a(x – h)² + k, and (b) the intercept form, y = (x – a)(x – b). Observe changes to the turning point and the shape of parabolic graphs through various transformations. Alternately, change the equation and observe changes in the x-intercepts ...

Interactive resource

What the world is made of

Use the 'particle model' to explore properties of matter. Compare the arrangement and movement of particles in the three phases of matter: solids, liquids and gases. Explore how substances can change between the three phases. For example, look at what happens when water changes state through a physical process such as melting ...

Interactive resource

What the world is made of: modelling matter

Use the 'particle model' to explore properties of matter. Compare the arrangement and movement of particles in the three phases of matter: solids, liquids and gases. Look at the composition of gases in air. This learning object is one in a series of six objects. The series is also packaged as a combined learning object.

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Fountain parabolas - mathematics activities

The trajectory of the water from the Captain Cook Memorial Fountain in Lake Burley Griffin, Canberra, provides a good approximation to a parabola. By having students examine other fountains, different 'shapes' can be detected. The mathematical demands increase accordingly. Teachers are encouraged to scan all the ideas suggested ...

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Cable housing - mathematics activities

This photograph of a steel cable or wire rope and its housing suggests a number of counting and shape related activities. It is important for students to recognise that the wires and the derivative threads of the cable must be twisted in the opposite sense to avoid unravelling. Teachers are encouraged to scan all the ideas ...

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Model of a glucose sugar molecule

This is a colour photograph of a model of a glucose sugar molecule. The model is composed of spheres representing the atoms in the molecule, and rods representing the bonds between the atoms. Glucose is a simple molecule consisting of three elements - carbon, hydrogen and oxygen. Carbon is shown by black spheres, hydrogen ...

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Water molecule

This is a colour image of a model of a molecule of water, H₂O. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The water molecule contains one oxygen atom (the red sphere) and two hydrogen atoms (the grey-white spheres).

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Hydrogen peroxide molecule

This is a colour image of a model of a molecule of hydrogen peroxide, H₂O₂. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The hydrogen peroxide molecule consists of two oxygen atoms (the red spheres) and two hydrogen atoms (the grey-white spheres).

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Hydrogen sulfide molecule

This is a colour image of a model of a molecule of hydrogen sulfide, H₂S. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The hydrogen sulfide molecule consists of one sulfur atom (the yellow sphere) and two hydrogen atoms (the grey-white spheres).

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Disulfane molecule

This is a colour image of a model of a molecule of disulfane, H₂S₂. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The disulfane molecule consists of two sulfur atoms (the yellow spheres) and two hydrogen atoms (the grey-white spheres).

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Trisulfane molecule

This is a colour image of a model of a molecule of trisulfane, H₂S₃. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The trisulfane molecule consists of three sulfur atoms (the yellow spheres) and two hydrogen atoms (the grey-white spheres).

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Ammonia molecule

This is a colour image of a model of a molecule of ammonia, NH₃. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The ammonia molecule consists of one nitrogen atom (the blue sphere) and three hydrogen atoms (the grey-white spheres).

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Hydrazine molecule

This is a colour image of a model of a molecule of hydrazine, N₂H₄. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The hydrazine molecule consists of two nitrogen atoms (the blue spheres) and four hydrogen atoms (the grey-white spheres).

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Hydroxylamine molecule

This is a colour image of a model of a molecule of hydroxylamine, NH₂OH. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The hydroxylamine molecule consists of one nitrogen atom (the blue sphere), one oxygen atom (the red sphere) and three hydrogen atoms ...

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Hydrogen cyanide molecule

This is a colour image of a model of a molecule of hydrogen cyanide, HCN. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The hydrogen cyanide molecule consists of one hydrogen atom (the grey-white sphere), one carbon atom (the black sphere) and one nitrogen ...

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Phosphine molecule

This is a colour image of a model of a molecule of phosphine, PH₃. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The phosphine molecule consists of one phosphorus atom (the orange sphere) and three hydrogen atoms (the grey-white spheres).

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Bromine monochloride molecule

This is a colour image of a model of a molecule of bromine monochloride, BrCl. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The bromine monochloride molecule contains one bromine atom (the brown sphere) and one chlorine atom (the green sphere).

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Bromine monofluoride molecule

This is a colour image of a model of a molecule of bromine monofluoride, BrF. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The bromine monofluoride molecule contains one bromine atom (the brown sphere) and one fluorine atom (the blue-grey sphere).