2-D shapes (age 8+)
Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry
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Teaching Table
Set out your lesson
Test mirror symmetry rather than merely count corners.
Ask the learner to explain one prerequisite idea before starting. If uncertain, revisit it; graph order is not learner readiness.
Check readiness rather than assuming source graph order establishes attainment.
Use the supplied symmetry SVGs or trace them on scrap paper. Folding is optional; screen rotation must not change the answer.
Use the supplied stage cards on screen or scrap paper; adult key stays separate.
Materials are ready in each step. Use them on screen or print just the current step. Put teaching examples aside before the learner tries.
What this lesson covers and its limits
These are bounded opportunities, not learner attainment. Partial and blocked source requirements remain so.
- partial: Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry
Bounded objective: Test mirror symmetry rather than merely count corners. Finite set; independent drawing/visual access requires delivered SVG. Exact taught figures later repeated are application, not fresh discovery.
- partial: Find all lines of symmetry in a rectangle, square, and equilateral triangle
Rectangle/square/equilateral mirror lines taught with actual outlines; discovery not independent.
- partial: Determine whether a given shape has a line of symmetry when rotated
Rotated rectangle outline tests preservation under rotation.
- partial: Identify which shapes in a set have exactly one line of symmetry
One-line isosceles example only; not a broad fresh set.
- partial: Determine how many lines of symmetry a regular hexagon has
Regular hexagon outline invites six mirror lines.
- partial: Draw all lines of symmetry for a given figure
Tracing/drawing lines available; nonvisual description changes evidence mode.
- partial: Identify which figures from a set are not line-symmetric
Non-rhombus slanted parallelogram supplies a non-symmetric example only.
- partial: If {{name}} is given a picture of a butterfly or a star shape, can they draw the line (or lines) where you could fold it exactly in half so both sides match?
Try offers new-visual-application for the bounded objective; it does not establish every part of the source assessment. Finite set; independent drawing/visual access requires delivered SVG. Exact taught figures later repeated are application, not fresh discovery.
Finite set; independent drawing/visual access requires delivered SVG. Exact taught figures later repeated are application, not fresh discovery.
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Teaching approaches
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1 approach
Test mirror symmetry rather than merely count corners.
Test mirror symmetry rather than merely count corners.
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Learning resources
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The teaching approach appears above.
Check understanding
- Find all lines of symmetry in a rectangle, square, and equilateral triangle
- Determine whether a given shape has a line of symmetry when rotated
- Identify which shapes in a set have exactly one line of symmetry
- Determine how many lines of symmetry a regular hexagon has
- Draw all lines of symmetry for a given figure
- Identify which figures from a set are not line-symmetric
“If your child is given a picture of a butterfly or a star shape, can they draw the line (or lines) where you could fold it exactly in half so both sides match?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Geometry
- Age range
- Ages 8–10