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Applied Measure - Coggle Diagram
Applied Measure
Area of Plane Figures
Rectangle, square
Triangle
Parallelogram
Trapezium
Disc (circle)
Sectors of a disc
Composite plane figures
Units: cm², m²
Common misconceptions:
Forgetting squared units
Using wrong formula
Links to:
Costing materials (flooring, painting)
Digital support:
GeoGebra shape manipulation
Perimeter
Meaning of perimeter (distance around a shape)
Plane figures:
Rectangle
Square
Triangle
Parallelogram
Trapezium
Composite shapes
Units: cm, m
Common misconceptions:
Confusing area with perimeter
Missing internal sides
Links to:
Real-life fencing, edging
Supports:
Colour-coding sides
Annotated diagrams
Composite Figures
Breaking shapes into simpler parts
Adding/subtracting areas
Logical decomposition
Skills developed:
Problem-solving
Justifying method
Misconceptions:
Overlapping areas
Missing sections
Links to:
Exam-style word problems
Nets of Solids
Nets of:
Prisms
Cylinders
Cones
Recognising valid vs invalid nets
Matching nets to solids
Links to:
Surface area
Supports:
Physical nets
Visual diagrams
Surface Area
Solids:
Rectangular block
Cylinder
Right cone
Triangular-based prism
Sphere / hemisphere
Identifying all faces
Units: cm², m²
Common misconceptions:
Missing curved surfaces
Double counting faces
Links to:
Nets
Packaging problems
Volume
Solids:
Rectangular block
Cylinder
Cone
Prism
Sphere / hemisphere
Combined solids
Units: cm³, m³
Misconceptions:
Using area instead of volume
Incorrect units
Links to:
Capacity
Real-life containers
Trapezoidal Rule
Estimating area under a graph
Identifying trapezoids
Approximation vs exact area
Links to:
Graph interpretation
Common misconceptions:
Forgetting number of strips
Arithmetic errors
Real Life Applications
Flooring and painting
Storage and packaging
Costing materials
Tanks and containers
Emphasis on:
Reasonableness of answers
Units and context
Misconceptions and Supports
Area vs perimeter
Surface area vs volume
Units (squared vs cubed)
Choosing incorrect formula
Teaching tools:
Step-by-step modelling
Worked examples
Peer discussion
Error-spotting tasks
Assessments
Diagnostic:
Starter questions
Formula recall checks
Formative:
Mini whiteboards
Exit tickets
Teacher questioning
Summative:
Exam-style test
Composite shape problems
Assessment as Learning:
Self-checklists
Peer marking