Mathematics / Year 5 / Measurement and Geometry / Location and transformation

Curriculum content descriptions

Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries (ACMMG114)

Elaborations
  • identifying and describing the line and rotational symmetry of a range of two-dimensional shapes, by manually cutting, folding and turning shapes and by using digital technologies
  • identifying the effects of transformations by manually flipping, sliding and turning two-dimensional shapes and by using digital technologies
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Translation (Geometry),  Reflection (Geometry),  Rotation

Online

Transformation: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Transformation. Students develop their understanding and skills in transformations including reflections (flips), translations (slides) and rotations (turns). Students investigate reflection symmetry.

Online

reSolve: Transformations - Frieze patterns

This sequence of three lessons explores transformation and symmetry by engaging students in the design of friezes. Students are introduced to simple friezes, how reflections, rotations and translations are combined to create design elements, explore real frieze examples from furnishings in Parliament House and tyres, then ...

Video

MathXplosion, Ep 42: Maths in nature

Maths can be found in living things and natural structures. Explore mathematical patterns in nature, such as the tessellating hexagonal units of a honeycomb, the bilateral symmetry of a leaf, the radial symmetry of a snowflake and spiderweb, and the number of right or left spirals on a pinecone or pineapple (Fibonacci numbers).

Video

MathXplosion, Ep 34: Kite symmetry

Unfurl the secret of symmetry used in kites to make them fly! A kite in geometry looks a lot like a kite in the sky. We see that a kite is a special quadrilateral in which one of its two diagonals (long and short) is also its axis of symmetry, and if you fold the kite along that diagonal, the two halves will match up exactly ...

Interactive

Photo hunt: level 4

Explore visual perspectives of solids such as cylinders, spheres, cones and cuboids. Match a 2D photo of a group of 3D objects taken from a different viewpoint. Identify the relative positions of the solids by comparing 2D outlines and colours. Rotate the scene until the view matches the original photo. The solids in the ...

Video

Axial Symmetry

An interactive applet in which students explore the effect of reflection in a variety of axes.

Interactive

Understanding Rotation

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

Video

Area of a square and a triangle

Do you know the formula for working out the area of a square? How about a triangle? Watch this short maths video to learn the formulas for both.

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ABC News: Mapping the sea floor

Hydrographers chart the seabed and coastline, giving ships a map to help them avoid running into underwater trouble. Use this clip as a context for exploring the mapping of the sea floor. Think about scale and how to indicate different depths using contour lines.

Video

What skills are important for programming robots?

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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MathXplosion, Ep 33: On the grid

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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Mixed Up Maths, Ep 7: Daredevil geometry

What does a daredevil jumps rider need to know about geometry? Find out as we discover angles for take off and for landing. But before we do that sit down for some angles basics! A good place to start is angles of turn through a circle from a 1/4, 1/2, 3/4, all the way to one full turn. See how many each represents as an angle.

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MathXplosion, Ep 39: Area vs perimeter

Want to know the trick to making a really big fort? Using cushions to build a fort, explore the concept of finding the largest area for a fixed perimeter. Surprisingly, there is no direct relationship between the perimeter of a rectangle and its area.

Online

reSolve: Area and Perimeter

This series of three lessons explores the relationship between area and perimeter using the context of bumper cars at an amusement park. Students design a rectangular floor plan with the largest possible area with a given perimeter. They then explore the perimeter of a bumper car ride that has a set floor area and investigate ...

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The Third Dimension

This resource is a web page containing a drawing task to explore help visualise 3-D objects. Draw an arrangement of cubes on isometric paper which gives us a way of drawing 3D objects more easily. A link to downloadable isometric paper is also provided. This resource is an activity from the NRICH website.

Interactive

Nets of three-dimensional solids

This is a five-page HTML resource about solving problems with nets of three-dimensional solids. It contains one video and three questions, two of which are interactive. The resource discusses and explains solving problems with nets of three-dimensional solids to reinforce students' understanding.

Interactive

Playground percentages

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.

Online

reSolve: Bifold Boxes

This lesson challenges students to use proportional reasoning to explain how changing the size of a square will affect the size of a box folded from that square. Students fold an origami box from a square of paper and record the dimensions of the resulting box. They then fold a box from a square of paper four times the ...

Interactive

Kitchen gardens – sustainability action process (Years 3–6)

This resource guides students through an extended school-based or local investigation focussed on kitchen gardens 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 and ...

Interactive

Sustainable transport – sustainability action process (Years 3–6)

This sustainable transport learning resource will guide students through an extended school based investigation. Students will develop and implement a chosen sustainability action and then evaluate and reflect on their success and their learning.