Spherical quadrilaterals with three non-integer angles - arXiv
Compare and order angles
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3 Circle the greatest angle in each diagram. 4 Here is an angle. a) Draw a smaller angle than 105° in the box on the left. b) Draw a greater angle than 105° in the box on the right. c) Is this statement true or false? The angles are in ascending order of size. Explain your answer. 5 Order the angles from greatest to smallest. a) 1 Here are two angles. A B a) Which angle is obtuse? b) Which angle is acute? How do you know? 2 Here are two angles. X Y a) What type of angle is angle X? b) What type of angle is angle Y? c) Which angle is smaller? How do you know? Compare and order angles © White Rose Maths 2020 105° a b c d
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Transcript of Compare and order angles
3 Circlethegreatestangleineachdiagram.
4 Hereisanangle.
a) Drawasmalleranglethan105°intheboxontheleft.
b) Drawagreateranglethan105°intheboxontheright.
c) Isthisstatementtrueorfalse?
The angles are in ascending order of size.
�
Explainyouranswer.
5 Ordertheanglesfromgreatesttosmallest.
a)
1 Herearetwoangles.
A B
a) Whichangleisobtuse?
b) Whichangleisacute?
Howdoyouknow?
2 Herearetwoangles.
X Y
a) WhattypeofangleisangleX?
b) WhattypeofangleisangleY?
c) Whichangleissmaller?
Howdoyouknow?
Compare�and�order� angles
©WhiteRoseMaths2020
105°
a b c d
7 Fouranglesarelabelledinthequadrilateral.
a) Whichoftheanglesareacuteangles?
b) Whichoftheanglesareobtuseangles?
c) Writetheanglesinorderofsize,startingwiththesmallest.
8 Aninteriorangleismarkedineachpolygon.
A B C D E
Ordertheinterioranglesofthepolygonsfromsmallest
togreatest.
Whatdoyounoticeaboutthenumberofsidesapolygonhas
andthesizeofitsinteriorangle?
b)
c)
6 Compareandordertheanglesfromsmallesttogreatest.
©WhiteRoseMaths2020
a b c d
a b c d
a
j
k
l
m
d
b
e
c
f
3 Ronisclassifyingtriangles.
a) Ronisincorrect.
Explainwhy.
b) Whattypeoftriangleisit?
4 Annieisidentifyingshapes.
DoyouagreewithAnnie?
Explainyouranswer.
1 Herearesomeshapes.
a) Tickthepolygons.
b) Talktoapartnerabouttheshapesyouhavenotticked.
Whyaretheynotpolygons?
c) Writeadefinitionofapolygon.
Compareyourdefinitionwithapartner’s.
2 Tickthetriangles.
Foranyshapesyouhavenotticked,talktoapartnerabout
whysomebodymightthinktheyaretriangles.
Triangles
©WhiteRoseMaths2020
This is an upside down triangle.
This shape has 3 sides, so it
is a triangle.
7 Draweachtriangleinthegrid.
a)isosceles b) right-angled c) scalene
Whichtrianglewashardesttodraw?
8 Thediagramshowsanequilateraltriangleandasquare.
Theperimeterofthesquareis100cm.
Workouttheperimeterofthecompoundshape.
perimeter= cm
5 Matchthetypeoftriangletothedefinition.
scalene2sidesand
2anglesequal
equilateralnosidesor
anglesequal
isoscelesallsidesand
allanglesequal
6 Labeleachtriangleaseitherequilateral,isoscelesorscalene.
Youwillneedtomeasurethesidelengths.
A B C
D E F
©WhiteRoseMaths2020
2 Herearesomequadrilaterals.
A B C
D E
a) Markanyrightanglesontheshapes.
Oneshapehasbeendoneforyou.
b) Markanypairsofparallellines.
Oneshapehasbeendoneforyou.
c) Whichshapesdonothaveanyrightangles?
�
d) Whichshapeshavetwopairsofparallellines?
�
e) Whichshapeshavefourequalsides?
�
Compareanswerswithapartner.
1 Usethewordbanktolabeleachquadrilateral.
rhombus
parallelogram
trapezium
rectangle
square
a) d)
b) e)
c)
Howdidyouknowwhichshapewaswhich?
Quadrilaterals
©WhiteRoseMaths2020
4 Drawtheshapesonthegrid.
a) square b)trapezium c)parallelogram
5
DoyouagreewithRosie?
Explainyouranswer.
6 CompletethisFrayerModeltodescribeaquadrilateral.
3 Completethetable.
Shape Polygon?Numberofsides
Numberofrightangles
Numberofpairs
ofparallelsides
Numberofequal
sides
Yes 4 4 2 2pairs
2
Whatisthesameaboutalloftheshapes?
Whatisdifferent?
©WhiteRoseMaths2020
This is a square because it has got
4 equal sides.
Mydefinition Keycharacteristics
Example Non-exampleQuadrilateral
3 Labeltheangles:acute,obtuseorrightangle.
a) d)
b) e)
c) f)
4 Tickalltheacuteangles.
1 Completethesentences.
Usethewordbanktohelpyou.
90
180
greater
less
a) Arightangleis degrees.
b) Anacuteangleis than degrees.
c) Anobtuseangleis than degrees
butlessthan degrees.
2 Matchtheanglestothelabels.
rightangle
acuteangle
obtuseangle
Identify angles
©WhiteRoseMaths2020
8
A B
DoyouagreewithTeddy?
Explainyouranswer.
9 Arethestatementsalwaystrue,sometimestrueornevertrue?
Explainyouranswer.
a) An obtuse angle is a greater turn than an acute angle.
b) An acute angle is a greater turn than a right angle turn.
c) If you turn through two acute angles you will have turned through an obtuse angle.
5 Tickalltheobtuseangles.
6 Labeltheangles:acute,obtuseorrightangle.
a) c)
b) d)
7 Istheangleacute,obtuseorarightangle?
a) 35° d) 89°
b) 99° e) 121°
c) 90° f) 179°
Howdoyouknow?
©WhiteRoseMaths2020
Angle B is obtuse because it’s bigger than
the right angle.
