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LEARNING OBJECTIVES: 1. Investigatelinesofsymmetry.2. Inferalinkbetweenthenumberofsidesof
aregularshapeandthenumberoflinesofsymmetry.
3. Applythisknowledgetopredictthenumberoflinesofsymmetryinotherpolygons.
4. Testtheirpredictionsagainstlessregularpolygons.
RESOURCES: 1. PowerPoint“Shapesandsymmetryat
HamptonCourtPalace”2. Squaresofpaper3. PowerPoint“Categorisingshapes”4. Worksheet“Shapeswithequallengthsides”5. Worksheet“Shapeswithdifferentlengthsides”
VOCABULARY:Hypothesise,polygon,predictions,symmetry
ACTIVITY:LooktogetheratPowerPoint“ShapesandsymmetryatHamptonCourtPalace”Discussthepropertiesoftheshapes.
Giveeachchildapapersquare.Discussshapeandproperties.Drawattentiontoequallengthsidesandequalangles.Askchildrentopredicthowmanywaystheymightbeabletofoldthesquaresothateachsidefitsexactlyontopoftheother.Predict,discuss,experiment(NB: children will often miss the ‘corner to corner’ lines of symmetry, particularly in hexagons and octagons. Use this opportunity to remind them to think about ‘corner to corner’ lines of symmetry during their investigations.)
Askthechildrentodrawdownthefolds.Whatdowecalltheselines?
Explainwearegoingtobelookingatthenumberoflinesofsymmetryofshapeswithsidesofequallengthandequalangles.PowerPoint“Categorisingshapes”–thosewithequalsidesandangles,thosewithout.Getthechildrentodiscussandassesswhichshapesshouldgoonwhichside.
Giveouttheworksheet“Shapeswithequallengthsides”.Childrentocutandfoldtheshapesexactlyinhalfinasmanywaysastheycantofindthenumberoflinesofsymmetry.Usethisinformationtofillinthetableontheworksheet.Childrenhypothesisehowmanylinesofsymmetryotherregularpolygonsmighthave.
Asanextension,youmaywanttorepeatthefoldingactivityusingtheworksheet“Shapeswithdifferentlengths”.
QUESTIONS TO DEVELOP THINKING:Dothechildrennoticeanythingdifferentaboutthenumberoflinesofsymmetryforshapeswithunequalsidesorangles?
Cantheyguesshowmanylinesofsymmetryacirclemighthave?
Lesson 2: Symmetry
Maths through Hampton Court Palace
Hampton Court Palace and St John the Baptist Church of England Junior School
Worksheet
2
Shapes with equal-length sides
Worksheet
Name of shape Number of sides
Number of lines of symmetry
Name of shape Number of sides
Number of lines of symmetry
Aregularheptagon
Aregularpentagon
Aregularnonagon(ninesides)
Aregulardecagon(tensides)
Usingthisinformation,canyoupredicthowmanylinesofsymmetrythefollowingshapeswillhave:
2a
Shapes with equal-length sides
Worksheet
3
Shapes with different length sides