Mathematics / Year 7 / Number and Algebra / Patterns and algebra

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Curriculum content descriptions

Extend and apply the laws and properties of arithmetic to algebraic terms and expressions (ACMNA177)

Elaborations
  • identifying order of operations in contextualised problems, preserving the order by inserting brackets in numerical expressions, then recognising how order is preserved by convention
  • moving fluently between algebraic and word representations as descriptions of the same situation
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Distributivity,  Associativity,  Commutativity,  Mathematical expressions

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18 direct matches to ACMNA177 | 2 other related resources
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Interactive

Terms

  • TLF-IDM016743

An animated tutorial about terms and 'like' terms, followed by an interactive quiz.

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Online

The laws of arithmetic and their use in algebra

  • TLF-IDM014015

This is a website designed for both teachers and students that refers to algebraic notation, the laws of arithmetic and the use of these laws in algebra from the Australian Curriculum for year 7 students. It contains material on algebraic notation, the commutative and associative laws, the use of brackets and the orders ...

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Text

Mental computation

  • TLF-IDM012843

This is a website designed for both teachers and students that discusses methods of mental computation. In particular, applying the associative, commutative and distributive laws to aid mental and written computation is discussed. These are important ideas for the introduction of algebra. There are pages for both teachers ...

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Interactive

Expressions

  • TLF-IDM016208

An animated tutorial with a focus on collecting 'like' terms to simplify expressions. An interactive quiz is included.

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Text

Representing Patterns (Year 7) - Calculate

  • TLF-IDA004259

Patterns can be represented in several ways and this unit will explore five different representations.

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Text

Algebra Tiles: Learning Sequence - Calculate

  • TLF-IDA004306

The following is a suggested teaching and learning sequence for using Algebra Tiles.

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Text

Linear Algebra Year 7 - Calculate

  • TLF-IDA004298

The focus of this activity is to find out what students know about linear equations and what are some of the different strategies students are able to use and explain. Do students prefer to use equations or do students rely more on empty number lines?

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Interactive

Squirt: three containers

  • TLF-IDA002708

Examine the relationships between capacities of various containers. Look at three containers that may have different diameters, heights and shapes. Fill a container and squirt liquids between the containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. ...

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Online

Finding the shortest path

  • TLF-IDA003424

In this lesson, students will experiment with different ways of creating a path between two points with algorithm design and generalizing patterns. From the patterns, they will be able to generate an algorithm for efficiently traveling through cities in a region.

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Online

Expressions, formulas and substitution

  • TLF-IDA003497

In the lesson ‘Formulating algebraic expressions’, students were introduced to variables and forming algebraic expressions. In this lesson, students continue to develop these skills and will explore substituting values into familiar and unfamiliar formulas to determine an unknown. Students explore substitution in a range ...

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Online

Graphs: Year 7 – planning tool

  • TLF-IDA003256

This planning resource for Year 7 is for the topic of Graphs. Students are introduced to the four-quadrant Cartesian plane. The format of the coordinates should be explained and demonstrated; coordinates do not have to be an integer value.

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Online

Formulating algebraic expressions

  • TLF-IDA003486

This lesson encompasses students’ introduction to formal algebraic concepts. Students will be introduced to the concept of variables and will explore the construction of algebraic expressions using concrete materials. Students explore a range of authentic contexts and hands-on materials in this lesson to ensure their initial ...

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Online

Patterns, rules and graphs

  • TLF-IDA003487

In this lesson, students play games and learn about space and location, the Cartesian plane, pattern recognition and reductive reasoning by playing games and thinking. Students create algebraic equations to describe their strategy. Follow this lesson with Graphs: formulas and variables, though both lessons can be taught ...

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Text

Representing Patterns - Calculate

  • TLF-IDA004257

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

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Video

Algebraic equations: video and teaching guide

  • TLF-IDA003037

This video uses an everyday scenario of three people sharing a taxi ride to explore algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning and mathematical modelling. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. The teacher guide ...

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Video

Algebra basics video

  • TLF-IDA003312

Use this video as a springboard to introduce algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning.

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Online

Formulate and manipulate expressions: Year 7 – planning tool

  • TLF-IDA003257

This planning resource for Year 7 is for the topic of Formulate and manipulate expressions. Students find unknown quantities in numerical equations involving a combination of operations.

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Online

Introduction to algebra

  • TLF-IDM013740

This is a website designed for both teachers and students that addresses the introduction of algebra. It is particularly relevant for introducing the idea of the use of a variable as a way of representing numbers. There are pages for both teachers and students. The student pages contain interactive questions for students ...

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Video

MathXplosion, Ep 33: On the grid

  • TLF-IDM025009

Explore graphs, grids and mapping with a focus on reading and writing location data using coordinate geometry. Grids and maps illustrate the concepts of parallel/perpendicular lines (axes or labelled number lines), ordered pairs and intersection points.

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Video

Patterns, primes and Pascal's Triangle

  • TLF-IDM017686

Are you intrigued by patterns? Check out Vi Hart as she explains how to visualise patterns in prime numbers, using Ulam's Spiral. Watch as Vi creates patterns, using Pascal's Triangle to explore relationships in number. See what happens when she circles the odd numbers. What rule does she use to create the final pattern?

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