F-10 Curriculum (V8)
F-10 Curriculum (V9)
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This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.
Selected links to a range of interactive online resources for the study of patterns and algebra in Foundation to Year 6 Mathematics.
How can you place four trees exactly the same distance apart from one other? By making a model! By using miniature trees to make a model of the problem, it becomes clear that a 2D solution is impossible. We learn how objects can help us visualise the problem situation, which in this case requires a 3D solution: a tetrahedron.
The golden ratio, Phi: fact or fallacy? What about the Fibonacci sequence? We are told this ratio and its cousin Fibonacci occur everywhere in nature. Let's see which of these claims stacks up when put to the test.
There is a saying: 'climate is what you expect and weather is what you get'. |Understanding climate change is very difficult for most people, especially when the weather we experience is different from the information we are given by scientists about the climate changing. The difference is that weather reflects short-term ...
This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the types of problems that require multiplication for their solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive laws is described. ...
In this lesson students explore slalom sports and how competitors maximise speed when completing a course. Students research different slalom sports and then share their findings with the class. Students investigate the impact of distance and friction on time to complete a course through digital and unplugged activities. ...
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.
This planning resource for Year 6 is for the topic of Find unknown values. Students find unknown quantities in numerical equations involving a combination of operations.
This game gives students opportunities to practise addition and subtraction strategies and develop algebraic thinking by finding unknown values in additive equations.
The following is a suggested teaching and learning sequence for using Algebra Tiles.
The focus of this activity to challenge students to unpack a rule and see if it is being used correctly. Often students will just learn a rule and blindly use it. This task gets students to stop and think and then make corrections to ensure the rule works in all cases (generalise).
When completed, the Square Kilometre Array (SKA) project will be the largest and most capable radio telescope available to scientists. Radio telescopes like the SKA detect radio waves produced by events and objects in the furthest reaches of space, translating these waves into data and imagery that allow scientists to study ...
This is the first in a series of Syllabus Bites related to direct and indirect proportion. Students revise the concept of ratio. They create short visual explanations showing how problems can be solved.
This is the third in a series of Syllabus Bites related to direct and indirect proportion. Students draw graphs to represent relationships between variables in direct proportion. They associate the gradient of the graph with the constant of proportionality. They investigate practical contexts that give rise to direct proportion.
Ever noticed that plants are examples of Fibonacci numbers? Watch Vi Hart draw examples of flower petals and leaf growth that follow this pattern. See how plants seem to use Phi (.), the golden ratio. Find out how to make your own 'angle-a-tron' to create interesting petal designs. This is the second in a series of two.
This is the second in a series of Syllabus Bites related to direct and indirect proportion. Interactive applets and dynamic geometry software allow students to explore quantities in direct proportion. Students draw conclusions about relationships between the variables and consolidate their understanding by playing a simple game.
If you were asked what the biggest number you can think of is, what would you say? Infinity? Well, what about the biggest finite number you can think of? Mathematician Ron Graham came across such a gigantic number in his research that, to capture its massive size, he and his colleagues needed to come up with new methods ...
This lesson introduces students to a trick for quick conversion between miles and kilometres using the Fibonacci sequence. Students are challenged to explain why the trick works. They investigate using their knowledge of ratio and discover that the miles/kilometres conversion rate is close to the golden ratio. The lesson ...
This resource is a web page containing a short task to explore ratio and fractions. The task is based on the Pythagoreans discovery that simple ratios of string length made nice sounds together. A 'Getting started' page, printable resource and solution is also available to support the task.This resource is an activity ...