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

Version 8
Switch to version 9
View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
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

Refine by resource type

Refine by year level


Refine by learning area


Refine by topic

Related topic
  • No suggestions

10 direct matches to ACMNA133 | 10 other related resources
Showing the top 20 search results

Interactive

Circus towers: square stacks

  • TLF-IDL1935

Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...

View detailsView resource
Text

The Geometry and Algebra of Honeycomb - Calculate

  • TLF-IDA004372

This integrated unit of work explores the amazing structures of honeycomb by examining the properties of regular and irregular polygons and polyhedra. Students then move on to solve problems using geometric and algebraic reasoning.

View detailsView resource
Text

Inquiry Prompt Ribbon Bow - Calculate

  • TLF-IDA004340

This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.

View detailsView resource
Text

Pattern & Algebra Year 6 - Calculate

  • TLF-IDA004347

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).

View detailsView resource
Text

Patterns & Algebra Year 6 - Frogs Lesson - Calculate

  • TLF-IDA004293

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 ...

View detailsView resource
Text

Adaptive Speciation of Honeybees - Calculate

  • TLF-IDA004337

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 ...

View detailsView resource
Text

Representing Patterns - Calculate

  • TLF-IDA004257

In this activity, students examine the representation of patterns, including as diagrams, charts and formulas.

View detailsView resource
Text

Fractions Year 6 - Calculate

  • TLF-IDA004292

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).

View detailsView resource
Interactive

Sites2See: Patterns and Algebra

  • TLF-IDM016224

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

View detailsView resource
Downloadable

Algebra: Foundation to Year 9

  • TLF-IDA003564

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.

View detailsView resource
Interactive

The difference bar: go figure

  • TLF-IDL114

This tutorial is suitable for use with a screen reader. It explains how to split up numbers in your head when finding the difference between two numbers such as 26 and 73. Work through sample questions and instructions explaining how to use linear partitioning techniques. Find the difference between pairs of numbers. Split ...

View detailsView resource
Interactive

Playground percentages

  • TLF-IDL133

Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.

View detailsView resource
Interactive

Number patterns

  • TLF-IDM012141

This is a five-page HTML resource about solving problems with number patterns. It contains two videos and six questions, one of which is interactive. The resource discusses and explains solving problems with number patterns to reinforce students' understanding.

View detailsView resource
Interactive

The divider: with or without remainders

  • TLF-IDL2006

Solve divisions such as 147/7 or 157/6 (some have remainders). Use a partitioning tool to help solve randomly generated divisions. Learn strategies to do complex arithmetic in your head. Split a division into parts that are easy to work with, use times tables, then solve the original calculation.

View detailsView resource
Interactive

Fish market: explore trading

  • TLF-IDL2574

Buy and sell fish in trading markets in a range of Australian and New Zealand cities. Compare market prices, supply and demand. Explore a range of traders to find the best deals and open up new markets. Find a rare fish. Maximise your profit and reputation as a smart trader. This learning object is the first in a series ...

View detailsView resource
Interactive

What's the problem: nature: level 2

  • TLF-IDL8157

Star as a contestant in a quiz show! Select three worded mathematical problems, about nature, from two categories: 'plants' or 'animals'. Identify the correct answer for each step in the problem-solving process. Examine the suggestions made by the panel to help you. Collect a prize based on your score.

View detailsView resource
Online

Secondary mathematics: different representations

  • TLF-IDS4971

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 ...

View detailsView resource
Interactive

Cassowary ecology quiz

  • TLF-IDL119

Explore facts about the life of cassowaries: physical characteristics; diet; habitat; life cycles; and locations. Interact with graphs to see how much people can help cassowaries. Work through ecology notes and resources. Answer questions as you go; express your answers as fractions. This learning object is one in a series ...

View detailsView resource
Online

Primary mathematics: games, simulations and modelling

  • TLF-IDS4969

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, ...

View detailsView resource
Online

Sphero slalom lesson

  • TLF-IDA002721

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. ...

View detailsView resource