Mathematics / Year 6 / Measurement and Geometry / Location and transformation

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Curriculum content descriptions

Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies (ACMMG142)

Elaborations
  • designing a school or brand logo using transformation of one or more shapes
  • understanding that translations, rotations and reflections can change the position and orientation but not shape or size
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Translation (Geometry),  Reflection (Geometry),  Rotation

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Online

reSolve: Spatial Reasoning - Right Angles

  • TLF-IDM025311

In this sequence of two lessons, students create and identify right angles. In the first lesson, students use popsicle sticks to create right angles and investigate how many right angles can be created for a given number of sticks. Students then go on to create eight sided polygons with different combinations of internal ...

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Online

reSolve: Location - My Place in Space

  • TLF-IDM025313

This series of two lessons explores locating points and calculating distances using the Cartesian plane. In the first lesson, students locate and describe points on the Cartesian plane using ordered pairs of coordinates. They then search for squares on a given plane and find the side lengths of the squares. In the second ...

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Online

reSolve: Directed number

  • TLF-IDM021058

This sequence of two lessons explores directed numbers in real world situations and games, abstracting understanding to applications using the number line. In the first lesson, students develop their understanding of directed numbers by engaging in a game involving hotel elevator floors, in the second lesson students represent ...

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Online

reSolve: Authentic Problems: Pyramids in a Box

  • TLF-IDM024878

This sequence of four lessons focuses on working with solids and their nets. The lessons provide opportunities for students to work flexibly as they construct simple prisms and pyramids from nets they have created. Students record their mathematical thinking as they work through iterations to refine a box that has the least ...

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Video

Working out the areas

  • TLF-IDM020280

Do you know how to work out the area of a square, a rectangle or a triangle? Learn the simple maths formulas needed from this video. What would be the area of a rectangle with a height of 5cm and a length of 3cm?

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Text

Work sample Year 6 Mathematics: How tall?

  • TLF-IDA004055

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 6 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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Video

What skills are important for programming robots?

  • TLF-IDM020272

Listen as David McKinnon from UNSW describes some of the skills that are useful to have if you want to program robots. David explains an activity that exercises problem solving skills. Why don't you try doing it? Look at a map and find some towns that are close to yours. Use the scale on the map to work out the distances ...

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Downloadable

What is the area?

  • TLF-IDA003551

Use this diagnostic task to assess what students know about area and using the area formula.

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Video

What are pixels?

  • TLF-IDM020591

Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

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Interactive

Waste and materials – sustainability action process (Years 3–6)

  • TLF-IDM020974

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

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Online

Volume and its units of measurement

  • TLF-IDM014012

This is a website designed for both teachers and students that refers to the study of volume and capacity and their units. It contains material on finding the volume of rectangular prisms, the units of volume and capacity, and understanding the connection between volume and capacity. There are pages for both teachers and ...

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Interactive

Understanding Rotation

  • TLF-IDM016523

A simple, animated introduction to rotation of geometric shapes, with an interactive quiz.

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Video

Triangle Types

  • TLF-IDM016431

An interactive applet in which students classify triangles as isosceles, scalene and equilateral.

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Online

Transformation: Year 6 – planning tool

  • TLF-IDA003299

This planning resource for Year 6 is for the topic of Transformation. Students continue to develop their understanding and skills in transformations including reflections (flips), translations (slides) and rotations (turns).

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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.

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Downloadable

The coloured cube

  • TLF-IDA003591

Use this task to reveal if the student can see in their ‘mind’s eye’ the transformation from a 2D net to a 3D object.

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Video

The amazing 'angle-a-tron'

  • TLF-IDM017689

Lost your protractor? Well, find out how to make an 'angle-a-tron'. This might just be the coolest mathematical tool you've ever used. Measure all sorts of angles. It's easy with an angle-a-tron!

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Interactive

The Numberline

  • TLF-IDM016500

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals

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Text

Tessellating tiles

  • TLF-IDM008995

In this teaching resource students learn how to construct shapes that will tessellate (or tile) a plane area. Starting with a regular shape known to tessellate (square, equilateral triangle, hexagon), students apply geometrical transformations to the sides of the shape to create new shapes that tessellate. There are links ...

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Online

Taronga Zoo - Rainforest heroes: iPad app

  • TLF-IDM017703

This iPad app provides an experience of Taronga Zoo's stunning Wild Asia rainforest trail. Guided by volunteer researcher Heidi Greentree and a GPS map, students create a PDF field report using the photographs they have taken, observations made and information collected. This can be emailed for further research and discussion ...

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