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Listed under:  Curves

### 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 ...

### 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.

### 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 ...

### 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 ...

### 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.

### 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 ...

### 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 ...

### 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).

### 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).

### Ethanol molecule

This is a colour image of a model of a molecule of ethanol, CH₃CH₂OH. In this model, atoms are represented by coloured spheres held together by grey rods that represent covalent bonds. The molecule contains two carbon atoms (the black spheres), one oxygen atom (the red sphere) and six hydrogen atoms (the grey-white spheres).

### Iodine molecule

This is a colour image of a model of a molecule of iodine, I₂. In this model, two iodine atoms are represented by deep red spheres held together by a grey rod that represents a covalent bond.

### Hydrogen molecule

This is a colour image of a model of a molecule of hydrogen, H₂. In this model, two hydrogen atoms are represented by grey-white spheres held together by a grey rod that represents a covalent bond.

### Oxygen molecule

This is a colour image of a model of a molecule of oxygen, O₂. In this model, two oxygen atoms are represented by red spheres held together by grey rods that represent a double covalent bond.

### TIMES Module 35: Number and Algebra: proportion - teacher guide

This is a 22-page guide for teachers. The module introduces the idea of direct proportion and illustrates its many uses in science, commerce and measurement. It looks at ratios, gradients and fractions. A history of the development and use of proportion concludes the module.

### TIMES Module 34: Number and Algebra: quadratic equations - teacher guide

This is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.

### TIMES Module 35: Number and Algebra: the quadratic function - teacher guide

This is a 29-page guide for teachers. It introduces graphing of quadratic functions.

### Non-linear systems of equations

This digital resource presents a video demonstration, with commentary, of the pen-and-paper technique of constructing the graphs of linear and quadratic functions to find the solutions to a non-linear system of equations. In a single example, a step-by-step illustration of the written method is presented, complemented by ...

### Identifying a possible non-linear rule for a given table of values

This is a five-page HTML resource about solving problems involving the identification of possible non-linear rules matching given tables of values. It contains five questions, two of which are interactive, and one video. The resource discusses and explains identifying a possible non-linear rule that matches a given table ...