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Algebra: Foundation to Year 9

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.

Interactive

Squirt: three containers

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. ...

Online

Mathematical modelling (Number): Year 7 – planning tool

This planning resource for Year 7 is for the topic of Mathematical modelling. Students use knowledge of the other topics in the Number strand, so that applying knowledge and skills can be modelled. This can be done in groups or as a whole class, as well as individually. Collaborative learning works well for practical problems.

Online

Addition and subtraction: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Addition and subtraction. Students compare, order and solve problems involving addition and subtraction of integers.

Online

Estimation and reasonableness: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Estimation and reasonableness. Students round decimals to a specified number of decimal places and connect the process of rounding up or down to prior experiences in rounding.

Video

Algebraic equations: video and teaching guide

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 ...

Online

Acquire and record data: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Acquire and record data. Students develop a robust statistical vocabulary. This includes defining and distinguishing between discrete numerical and continuous numerical data. To illustrate the differences students should be asked to collect sets of data from their peers. ...

Online

Transformation: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Transformation. Students describe translations, reflections and rotations and identify line (mirror) and rotational symmetries. They will extend their understanding of transformations through exploring transformations on the Cartesian plane.

Online

Algorithms: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Algorithms. Students are introduced to the use of algorithms for sorting and classifying. They can use flow charts to do this. Algorithmic thinking is a design process and flow charts are used to show a sequence of steps and/or instructions and require decision making ...

Downloadable

Unit cubes and volume

This lesson uses unit cubes and hollow objects to demonstrate the concept of volume and the units used.

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Work sample Year 7 Mathematics: Investigations

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 7 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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7N03A Fractions - Ochre Education

This unit of work focuses on fractions. Students represent and convert between equivalent forms, such as improper and mixed numeral and equivalent and simplified fractions; compare and order positive and negative fractions; add, subtract, multiply, divide (including writing one number as a fraction of another and finding ...

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Linear Algebra Year 7 - Calculate

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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Algebra Tiles: Learning Sequence - Calculate

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

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Representing Patterns - Calculate

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

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Representing Patterns (Year 7) - Calculate

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

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ROWCO - Calculate

ROWCO is a card game that will help students practice their addition facts while playing an engaging strategy game.

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The maths behind RGB images

In this lesson, students explore the RGB (Red, Green, Blue) colour model commonly used in digital imaging and display systems. They learn how each colour in the RGB model is represented by 8 bits and understand why there are 256 color intensities for each channel. Students will represent the 8 bits using their mathematical ...

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Sleepy statistics: Analysis: Part 2

In this second of two lessons, students represent their acquired sleep data using a back-to-back stem-and-leaf plot and draw conclusions based on statistical analysis.

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Sleepy statistics: Part 1

Students conduct a sleep audit over two weeks to test hypotheses regarding improving sleep quality.