AC9M5SP03: Describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries

Students read ordered coordinate pairs consistently, plot positions, follow displacement instructions and describe changes using horizontal and vertical movement.

An ordered pair locates a point by moving along the horizontal axis first and the vertical axis second under the stated convention.

A(1,1), B(4,1), C(4,4), D(1,4) form a square. Coordinates identify vertices precisely and differences reveal side lengths.

Directions depend on axis orientation. State the start, horizontal change and vertical change, then verify the endpoint.

Learning routine: Represent → Reason → Calculate → Interpret → Verify

Success looks like

• Construct or represent accurately
• Use correct vocabulary and notation
• Interpret relationships
• Apply to a new example
• Justify and evaluate

coordinate pair

ordered numbers locating a point

horizontal axis

axis read first under standard Cartesian convention

displacement

change in position described by direction and distance

Content description: describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries.

• E1: understanding and explaining that translations, rotations and reflections can change the position and orientation of a shape but not the shape or size
• E2: using pattern blocks and paper tracing around a shape and conducting a series of a one-step transformations; continuing to trace each resulting image, then copying the original position and end position on a new sheet of paper
• E3: demonstrating how different combinations of transformations can produce the same resulting image
• E4: challenging classmates to select a combination of transformations to move from an original image to the final image, noting the different combinations by using different colours to trace images
• E5: investigating how animal tracks can be interpreted by First Nations Australians using the transformation of their shapes to help determine and understand animal behaviour

Core idea: An ordered pair locates a point by moving along the horizontal axis first and the vertical axis second under the stated convention.

Remember

• Construct or represent accurately
• Use correct vocabulary and notation
• Interpret relationships
• Apply to a new example
• Justify and evaluate

Important questions

• Plot (3,5). Explain using the model or evidence above.
• Move (2,1) by +3,+2. Explain using the model or evidence above.
• Find coordinate difference. Explain using the model or evidence above.
• Explain x then y. Explain using the model or evidence above.
• Describe a route. Explain using the model or evidence above.

Learn from the Topic Guide and fixed Teacher Slides, complete the Practice Sheet, use Practice for supported feedback, then take the Test when ready.

Project the fixed branded slide deck one slide at a time.

• Coordinates reversed — Read x then y.
• Cell reference confused with point coordinate — Coordinates locate intersection points under the defined system.
• Movement counted by grid lines inconsistently — Count unit intervals.
• Direction assumed without axis labels — Check positive directions and scale.

Curriculum equivalents for And perform translations, reflections and rotations of shapes, using dynamic...

Mapped skill: describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries

These references identify matching or closely related learning. Curriculum sequence, terminology and depth vary, so teachers should use the mapped skill and lesson difficulty to confirm suitability.

Australian Curriculum v9.0 is the canonical source for this SkillrHub lesson. Victoria and NSW entries name the closest published state codes or outcomes; international entries are planning references rather than claims of identical curricula.

Australian Curriculum Version 9.0

• AC9M5N01: Decimals Beyond Hundredths
• AC9M5N02: Factors, Multiples and Divisibility
• AC9M5N03: Comparing and Ordering Fractions
• AC9M5N04: Percentages, Fractions and Decimals
• AC9M5N05: Adding and Subtracting Fractions
• AC9M5N06: Multiplying Larger Numbers