Teaching sequences for AC V9

Students build their understanding of multiplication by exploring the concept of “for each” through Cartesian product. They work out how many different robots can be built using three robot heads, three bodies and three types of legs.

Students learn that the array is a powerful representation of multiplication: rows and columns represent factors, and these factors can be multiplied to find the product.

Students investigate how far they can jump. They define their question, plan to collect and record data. They analyse this data and use it as evidence to answer the question.

Students learn to use the properties of multiplication to solve multiplication problems which are represented as an array.

Students navigate, design, and analyse number mazes to investigate why some paths always give an odd total and others don’t, building towards a general explanation of how odd and even numbers behave when added.

Students investigate how far an origami frog can jump. They define their question, plan, collect and record data. They analyse this data and use it as evidence to answer the question.

Students use an animal flip book to explore the multiplicative idea of “for each” by determining the number of possible animal combinations, represented as a Cartesian product.

Students learn how to collect and analyse historical weather data, and use this data to make predictions about the best time to play outside at different times of the year.

Students make loopy aeroplanes using different designs. They collect, represent and analyse data to answer the question "Which loopy aeroplane design is best?”.