F-10 Curriculum (V8)
F-10 Curriculum (V9)
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The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.
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.
Space Race is a simple board game that teachers can use to introduce the concept of algorithmic sequencing to students. The teaching points provided with the game assist teachers to introduce the use of an algorithm (a simple set of mathematical instructions) to describe the trajectory of an object across a grid plane from ...
Selected links to a range of interactive online resources for the study of patterns and algebra in Foundation to Year 6 Mathematics.
This planning resource for Year 3 is for the topic of Follow and create algorithms. Students create and follow algorithms involving a short sequence of steps to generate number patterns. They use digital tools such as spreadsheets and calculators to explore algorithms with larger sets of numbers. Students identify any patterns ...
This planning resource for Year 1 is for the topic of Repeating and growing patterns. Students begin to appreciate patterns that occur around them. They learn to recognise, copy and continue different repeating patterns and observe natural patterns in the world around them.
Students identify, describe and create repeating patterns.
Students recall the twos number sequence and use skip counting by twos to count a collection.
This game explores number sequences and practises skip counting.
This resource introduces a number of activities focused around number patterns. Helping children to explore, continue and describe number patterns can lead to an early understanding of algebraic concepts.
The focus of this activity is to discover if students can use numbers to describe a pattern created with objects. We want to encourage students to record what they know about the pattern in a table and then use this information to help predict future terms and identify the rule or function for the pattern. At this stage, ...
The focus of this activity is to discover if students can use their knowledge of repeating patterns created with objects and extend this to number patterns. It is important to remember to ask students to continue patterns to the right and left. This is important as students need to be able to count forwards and backwards.
These seven learning activities, which focus on 'games, simulations and modelling' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use games, ...
Do you know what a fractal is? Basically, fractals are never-ending patterns created by repeated mathematical equations. In this clip, Yuliya, a student at MIT (in the USA) describes the properties of fractals and shows you where they can be found in technology and nature. Have a good look at the world around you and see ...
Do you know how to recognise a fractal? Watch this video to find out! What are the examples given of fractals found in nature? Can you think of any others? Why not have a go at doing your own drawing of the Sierpinski Triangle?
This sequence of lessons aims to build students' algebraic thinking through explorations of additive number patterns. Students are challenged to solve problems to generate patterns, explore strategies for addition and subtraction and apply their skills to constructing their own new patterns.The lessons are outlined in detail ...
This sequence of two lessons explores early algebraic thinking around the concept of equivalence. Students develop equivalence understanding by partitioning numbers into two parts. They explore the commutative property and compensation as they are challenged to find all possible combinations. Each lesson is outlined in ...
Do you know what makes an odd number and what makes an even number? There are a few ways to test whether a number is odd or even. Find out about one method in this video, then see if you can discover at least one other method.
Make some music by building up rhythms from four instruments. Make a counting rule that matches a pattern on a number line. Select the start number and then select a number to count by. For example, describe a sound pattern where a saxophone waits on the first note, and then plays on every eighth note. Add a second number ...
Learn how to split up numbers in your head. Use a linear partitioning tool to help find the difference between pairs of two-digit numbers such as 25 and 34. In these examples, the difference is always less than ten. Split the numbers into parts that are easy to work with, work out each part and then solve the original calculation.