Mathematics / Year 6 / Number and Algebra / Patterns and algebra

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Explore the use of brackets and order of operations to write number sentences (ACMNA134)

Elaborations
  • appreciating the need for rules to complete multiple operations within the same number sentence
General capabilities
  • Numeracy Numeracy
ScOT terms

Equations,  Order of operations

Refine results by

Year level 5-6
Resource type
Learning area Mathematics
Interactive Resource

Sites2See: Patterns and Algebra

Selected links to a range of interactive online resources for the study of patterns and algebra in Foundation to Year 6 Mathematics.

Interactive resource

Exploring order of operations

Work through mathematical operations in an algorithm. Perform calculations with integers where the order of operations is important. Start with two-step operations such as 6+10x2. Move on to numerical expressions involving several operations and notation such as parentheses and indices. Solve numerical expressions quickly ...

Video

Order of operations (PEMDAS)

This three-part animated presentation demonstrates the process of applying an order of operations convention to calculations involving a mixture of number operations. Two parts of the demonstration provide worked examples and a step-by-step procedure; the third part provides examples for student practice.

Interactive resource

Balance the blobs: find the rule 2

Balance scales by using blobs. Using non-unit ratios, such as 3:2, 4:5 or 5:2, explore how many black blobs and white blobs balance each other. Discover the rule that balances the scales with the correct number and type of blobs. For example, 3 black blobs balance 2 white blobs. Find out how many black blobs balance 4 white ...

Interactive resource

Balance the blobs

Balance scales by using blobs. Explore how many black blobs and white blobs balance each other. Discover the rule that balances the scales with the correct number and type of blobs. For example, 2 black blobs balances 1 white blob. Find out how many black blobs balance 2 white blobs. Build a number pattern. Then use the ...

Interactive resource

Balance the blobs: find the rule 3

Balance scales by using blobs. Using three-term ratios, such as 1:2:3, 5:1:3 or 3:4:5, explore how many black, white and grey blobs balance each other. Discover a set of rules that balances the scales with the correct number and type of blobs. For example, 1 black blob balances 2 white blobs. Then find out how many grey ...

Interactive resource

Bridge builder: complex squares

Build bridges by adding regular sections (each made up of three beams plus a shared beam). Examine a table and graph of the total number of beams used in bridges of different sizes. Predict the number of beams needed to build a wider span. Describe the number pattern. This learning object is the fourth in a series of five ...

Interactive resource

Working it out!

See how small a cubic centimetre looks when compared with a cubic metre (100 cm x 100 cm x 100 cm). Then estimate the volume of cuboids, such as a packet of food and a tool box. Rotate a 3D grid to help you work out dimensions in centimetres. First work out the area of the base. Then multiply your answer by the height to ...

Teacher resource

Whole numbers with all four operations

This is a website designed for both teachers and students that addresses whole numbers with the four operations from the Australian Curriculum for year 6 students. It contains material on the strategies and algorithms used when adding, subtracting, multiplying and dividing whole numbers. There are pages for both teachers ...

Teacher resource

Starting Smart: how are problems solved? - years 4-6

This curriculum resource package is a ten-week teaching plan and set of supporting resources for the middle to upper primary years, focusing on developing students' problem-solving skills. Beginning with students' understanding and knowledge of number, students learn strategies to use number sentences to solve problems ...