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

Curriculum content descriptions

Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence (ACMNA133)

Elaborations
  • identifying and generalising number patterns
  • investigating additive and multiplicative patterns such as the number of tiles in a geometric pattern, or the number of dots or other shapes in successive repeats of a strip or border pattern looking for patterns in the way the numbers increase/decrease
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Sequences (Number patterns),  Mathematical expressions

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Use rules and algorithms: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Use rules and algorithms. Students generate and investigate patterns using concrete materials, geometric shapes, calculators and spreadsheets. Some examples are growing patterns using dots, cubes or sticks; systematically exploring dividing by 9 or multiplying by 11 ...

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Creating my own spreadsheet to convert binary to decimal

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Algebra: Foundation to Year 9

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The Geometry and Algebra of Honeycomb - Calculate

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Pattern & Algebra Year 6 - Calculate

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Patterns & Algebra Year 6 - Frogs Lesson - Calculate

This activity is designed to encourage students to engage with a problem, before they overthink it. Too often in class we begin with what is familiar to students and gradually increase the challenge. This problem begins with a challenge and encourages students to work backwards to solve a simpler problem, before applying ...

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Inquiry Prompt Ribbon Bow - Calculate

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Fractions Year 6 - Calculate

This activity challenges 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 asks students to stop and think and then make corrections to ensure the rule works in all cases (generalise).

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Adaptive Speciation of Honeybees - Calculate

Using the example of the humble honey bee, this integrated Science and Mathematics unit illustrates the way in which speciation occurs in nature and explains how living things adapt to survive in their environment. In doing so, the unit describes the nature of simple multiplicative number sequences and how simple algebraic ...

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Imperial pie

This activity involves making a cake using a recipe in which the quantities of the ingredients required are measured using a variety of imperial units. To complete the recipe, students need to convert the imperial units to metric units in order to be able to use their metric measuring instruments. The activity serves to ...

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TIMES Module 9: Number and Algebra: multiplication of whole numbers - teacher guide

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. ...

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TIMES Module 7: Number and Algebra: addition of whole numbers - teacher guide

This is a 16-page guide for teachers. This module introduces addition of whole numbers.

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Fractions

This is a website designed for both teachers and students that addresses components of the arithmetic of fractions. It is particularly relevant for comparison and addition and subtraction of fractions with related denominators. It also contains material on finding a fraction of a quantity where the result is a whole number. ...

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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 ...

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This is a website designed for both teachers and students that refers to making connections between percentages, decimals and fractions, as well as calculating percentages and percentage discounts from the Australian Curriculum for year 6 students. It contains material on calculating percentages of an amount and calculating ...

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These seven learning activities, which focus on 'representations' 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 different representations ...

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Reducing carbon dioxide emissions and sustainable energy use and are two of the major issues facing the world today. This project explores energy use in homes, and compares individual energy use with the class average and calculate and graph CO2 emissions.