Post on 08-Aug-2020
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Position
SERIES TOPIC
1G 1
Choose 2 of the photos or drawings from the first activity. Write a description of the perspectives. How does each description differ?
Go to Google Earth and locate a famous landmark such as Uluru or the Eiffel Tower. How does the bird’s-eye view differ from the front or side-on views we normally see? Draw one of the views here:
Work in a small group for this activity:
a Make a simple 3D model using blocks, books or perhaps 3 to 4 friends.
b Photographthemodelfromdifferentpointsofview.Makeanoteofwhereyouwerestandingforeachshot. Then print out the shots, upload them onto a computer or keep them on the camera for others to view.Ifacameraisn’tavailable,sketcheachviewofthemodel.
c Nowaskanothergrouptolookateachpicture,thenstandwheretheythinkitwasmade.
d Givethemfeedbackontheirchoices.
e Swaproles.Howeasywasittoworkoutthedifferentperspectives?
Spatial orientation – point of view
1
2
3
Perspective 1 Perspective 2
Whereweareinrelationtoanobjectimpactsonhowweseetheobjectanddescribeitsposition.
Answers will vary.
Answers will vary.
Answers will vary. Answers will vary.
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Position
SERIES TOPIC
2 G 1
Draw your model on the isometric graph paper:
This time, work with a partner. Create a simple cube model without showing your partner. Draw the top, front and left side views. Now, ask your partner to reconstruct the model. Show them your version. Are they right?
Swap roles.
Spatial orientation – point of view
4 Build these models using cubes. Now draw the top, front and the left side view of each:
5
6
top front leftside
top
frontleftside
a b
c
a
b
c
top front leftside
Answers will vary.
Answers will vary.
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Position
SERIES TOPIC
3G 1
a b c d
Play this game with a couple of friends. Draw a simple compass on paper and place it at your feet, making sure your north faces true north. One of you is the caller, the others are the doers. The caller gives an instruction such as, “Make a 3
4 turn.” What new direction will you face? Make the move, then check.
How did you go? Can you make pictures in your head of where you are? Do you get better with practice?
Use the compass below to identify different turns. How many can you find?
__________________________
Add the missing directions to the compasses:
Spatial orientation – directions
2
1
quarter turns
three-quarter turns eighth turns
half turns
3
Compassdirectionscanhelpusorientourselves.Thereare4mainpointsonacompass:north,south,eastandwest.
Halfwaybetweeneachoftheseisnorth-west,north-east,south-eastandsouth-west.
N
N
N
N
Whenweturnfromnorthbacktonorth,wemakeafullturn.Whenweturnfromnorthtosouth,wemakeahalfturn.Whenweturnfromnorthtoeastwemakeaquarterturn.Whatkindofturnisitfromnorthtonorth-east?
S
W E
SE
NE
SW
NW
SW
ESE
NE
SW
NW
S
W
E
SE
NE
SW
NW
S
W
E
SE
NE
SW
NW
north to south
north to west
south to west
north to north-east
Answers will vary.
Answers will vary.
Answers will vary.
Answers will vary.
8 of each
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Position
SERIES TOPIC
4 G 1
Now try this one:
Spatial orientation – directions
4 Show the following path on the grid below. For the first number, look at the horizontal axis. For the second number, look at the vertical axis.
Scale: 1 unit = 1 m
1 2 3 4 5 6 7 8 9 10
10
9
8
7
6
5
4
3
2
1
5
a Start at Point A (5, 2) and
head 30 m north to Point B.
b Face east and head 30 m to Point C.
c Turn to face north and head 40 m to Point D.
d Turnwestandtravel70mto Point E.
e Turn south and head 40 m to Point F.
f Face east and head 30 m to Point G.
g Face south and head 30 m toPointH.
h JoinPointHandPointA.Whathaveyoucreated?Advertisesomethingonit.
Scale: 1 unit = 10 m
1 2 3 4 5 6 7 8 9 10
10
9
8
7
6
5
4
3
2
1
N
a Start at Point A (6, 1) and head 2 m north to Point B.
b Head4measttoPointC.
c Movenorth-westthrough 2squarestoPointD.
d Move2measttoPointE.
e Turnnorth-westandtravelthrough2squarestoPointF.
f Travel2measttoPointG.
g FromPointG,movethrough4squaresnorth-westtoPointH.
h Youarenowhalfwaythroughasymmetricalpicture. Complete it and decorateifyouwish.A
B
H
C
D E
F G
A
BG
H
F
E D
C
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Position
SERIES TOPIC
5G 1
What to do next
What to do
Getting ready
Treasure trail create
Forthisactivity,you’llworkinasmallgrouptoinventatreasurehunt.You’llthinkofaplaceintheschooltohideyourtreasureandyouwillalsothinkofaroutetogetthere.Atdifferentpoints,you’llleavecluesforyourhunters.You’llneedaround10cardsorpiecesofpaperandtapeorBluTack.Youwillalsowanta‘treasure’.
1 Planaroutethatyoucandescribeeasilytosomeoneusingdirectionssuchas,“Startatthelibrarydoor.Yournextclueis25pacestothenorth.”
2 Writeoutthecluesonacardorpieceofpaperanddisplaythemalongtheroute.(Ifthewholeclassisdoingthisactivity,youmaywanttonameyourcards!)
3 You’llneedtothinkabouthowpeoplewillknowwhichdirectiontoheadfrom thedifferentpoints.Ifyouhaveaccesstocompasses,itmakesiteasier.Or youcouldplaceahand-drawndirectionateachpointtohelpyourhunters.
4 Hideyourtreasureatthefinalpoint.
5 Findanothergrouptofollowyourtreasuretrail.
Makeatreasuremapofyourroute.
N
Teacher check.
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Position
SERIES TOPIC
6 G 2
Plot these points and then connect them to make a 3D shape. Use a ruler.
Write the letter for each coordinate to work out the riddle and the answer:1
Coordinates – plotting coordinates
2
Questions
A1,C4,D1,I4,A5 F2,I4
E6,H7,I1,A3,A5 J3,H7,A3,G1
C6,I1,I4 I4,C4,D1,H2
E6,H7,I1,A3 E6,H7,I1
E3,A3,F2,G1,H2,G4,A5 G4,H7?
I1,A5,G1
F1 to C1
C1 to A3
A3 to A5
A5 to D5
D5 to F3
F3 to F1
F1 to D3
D3 to D5
C1 to C3
A3 to F3
C3 to A5
Riddle answer
E6,H7,I1,A3
H2,D1,J3,G1!
A B C D E F G H I J K
1
2
3
4
5
6
7
8
W A
R
S
B
F
Y
H
I
O
D
E U
T
N
M
W
B
TH
UEA
F MR
D
O
S
NI
Y
Mapsandstreetdirectoriesusecoordinatestohelpusfollowroutesandfindplaces.
Wereadcoordinateshorizontallyandthenvertically,sothelettercomesbeforethenumber.
A B C D E F G
1
2
3
4
5
Riddle
A1,C4,D1,I4,A5 WHAT’S F2,I4 IT
E6,H7,I1,A3,A5 YOURS J3,H7,A3,G1 MORE
C6,I1,I4 BUT I4,C4,D1,H2 THAN
E6,H7,I1,A3 YOUR E6,H7,I1 YOU
E3,A3,F2,G1,H2,G4,A5 FRIENDS G4,H7? DO?
I1,A5,G1 USE
Answer
E6,H7,I1,A3 YOUR
H2,D1,J3,G1! NAME!
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Position
SERIES TOPIC
7G 2
Connect each set of dots using a ruler:
E2 to D1, D1 to D3, D3 to B3, B3 to C4, C4 to B5, B5 to D5, D5 to D7, D7 to E6 Drawtheotherhalfofyourshapeanddecorate.
3
Coordinates – plotting coordinates
4
Plot and connect these coordinates to find the path taken by the cowboy to find his boots.
Plotthesepoints:A1,A2,C2,C3,E3,E4,G4,G5,I5,I7
A B C D E F G H I J K
1
2
3
4
5
6
7
A B C D E F G H I
1
2
3
4
5
6
7
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Position
SERIES TOPIC
8 G 2
You will need to use a street directory for this question. Look at what it uses as symbols and how the streets are labelled. Do you think their choices are useful? Now …
a Finishthecoordinatesonthegridbelow.
b Name each street.
c Makeyourownkeyusingsymbols.
d Labelyourmapwiththefollowing: •swimmingpool • church •policestation •library • hospital •postoffice • bridge •railwayline
1
Coordinates – street directories
Write the coordinates for these places on the island:
A B C D E F G H I J1
2
3
4
5
6
7
8
9
Sailing _______________
Tennis _______________
Café _______________
Kids’Club _______________
Snorkelling _______________
Now label these on the map:
Marina – G3
Jet skiing – C8
Camping site – D4
Tennis
Café
Sailing
Kids’Club
Snorkelling
2
A B C D E F1
2
3
4
Mapsandstreetdirectoriesusecoordinatestohelpusfollowroutesandfindplaces.
Marina
Camping site
Jet skiing
H3
B3
D7
F6
I8
Teacher check.5
6
7
8
G H I J K L M N
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Position
SERIES TOPIC
9G 2
Holt St
Coordinates – street directories
3 Complete this map by labelling it with the streets in the table below:
A B C D E F G H I J
1
2
3
4
5
6
7
YouliveonthecornerofCubaandShirleyStreets.YourfriendlivesonthecornerofFoxRoadandOrionStreet.Drawyourhousesandthenwrite asetofdirectionsforyourfriendtovisityou.
Label Clue 1 Clue 2
Webb Street B6 C4
Cuba Street G4 G6
Noble Parade A4 B5
Brent Street A3 C4
WilcoxStreet E5 E3
Corona Street I6 I4
OrionStreet E2 G3
Thorpe Road F4 H4
ShirleyStreet E6 G6
FoxRoad F2 F1
Shirley Street
Noble Parade
Brent Street
Web
b St
reet
Wil
cox S
tree
t
Orion Street
Thorpe Road
Cu
ba
Str
eet
Coro
na
Str
eet
Fox R
oa
d
Sample answer:
Turn left at Wilcox Street.
Continue along Wilcox Street.
Turn left into Shirley Street.
Travel until you reach the corner of Cuba Street.
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Position
SERIES TOPIC
10 G 2
Wat
erlo
o Qy
Cust
omho
use
Qy
Feat
hers
ton
St
Lambton Qy
The
Terr
ace
Lam
bton
Qy
Hunter St
Jervois Qy
Vict
oria
St
Wakefield St
Manners St
Dixon St
Frank Kitts Park
Wellington Station
Coordinates – street directories
It’stimetohitthestreetsofNew York (USA)!YouarriveatGrandCentralTerminalandwalkoutontoVanderbiltAvenue.
YouwanttogettoRadioCityMusicHall.Drawwhatyouthinkwouldbethefastestroute.FromRadioCityMusicHall,walk8blocksdownAveoftheAmericas/6thAveandthenturnleft.Whatison yourright?
___________________________________________
Turnrightinto5thAveandturnrightontoE40thSt.Walkfor2blocksandthenturnrightontoBroadway.Whatfamousareais3blockstotheright?
___________________________________________
YouflydirecttoWellington(NewZealand).Doyouknowwhatislandareyouon?
_____________________________
You catch a train to Wellington StationandthenheadsouthonFeatherstonSt.TurnleftontoHunterStandthenrightonto astreetnamedafteraqueen.
TurnintoWakefieldStandthentakeyourfirstleft.Travelalongthistillyoureachapark.Whatstreetdoestheparkfaceonto?
_____________________________
Wellington
Radio City Music Hall
Rockefeller Center
The Waldorf-Astoria
Hotel
New York Public Library
42nd St –Bryant Park
Chrysler Building
Grand CentralTerminal
Bryant Park
5th
Ave
Times Square
Mad
ison
Ave
Mad
ison
Ave
Ave
of th
e Am
erica
s
6th
Ave
W 44th St
W 45th St
W 43rd St
W 46th St
W 48th StW 47th St
W 39th StW 38th StW 37th StW 36th St
E 40th St
E 41st St
E 44st St
E 48th St
E 49th St
E 50th StE 51st St
E 52nd St
E 46th St
Mad
ison
Ave
Park
Ave
Vand
erbi
lt Av
e
Park
Ave
Lexin
gton
Ave
E 42nd St
Broa
dway
W 35th St
W 42nd St
3rd
Ave
Lexin
gton
Ave
New York
You will be travelling to 2 cities. In each city you will follow directions to locate a secret spot. Mark your travels on the map. Some of the clues are a little cryptic and might require some thought.
a
4
b
New York Public Library
Times Square
North Island
Jervois Qy
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Position
SERIES TOPIC
11G 2
Take me to the movies solve
The following seats were booked by 6 different people. Read the clues then fill in the table.
Clue 1 JackissittinginE4.
Clue 2 Mollyis2rowsdirectly in front of Jack.
Clue 3 Trentis2seatstotheleftofN3.
Clue 4 Carlyis12seatstotheright ofMolly.
Clue 5 BrianisonCarly’sleft.
Clue 6 LimisdirectlybehindTrent.
Clue 7 Zac is 6 seats to the right ofMolly.
Clue 8 EllaisonLim’sleft.
Clue 9 Willisinanaisleseatinrow3 inthesectiononthefarright.
Name Seat
Molly
Jack
Trent
Brian
Carly
Lim
Zac
Ella
Will
A B C D E F R S T U V WG H I J K L M N O P Q
Front of cinema
Screen
CINEMA 2
Rear of cinema
1
2
3
4
5
1
2
3
4
5
Lookatthecinemaplan.Usethecluestofindwhoissittingwhere.What to do
E2
E4
L3
P2
Q2
L4
K2
K4
R3
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Position
SERIES TOPIC
12 G 2
Connectthesecoordinates,workdowneachcolumnandtickeachoneoffasyougo:
Connections apply
What to do
Createadesignbyconnectingthecoordinatesbelow.Useasharppencilandaruler.
A B C D E F G H I J K L M N0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
G1toI3
I3toK3
K3toK5
K5toM7
M7toK9
K9toK11
K11toI11
I11toG13
G13 to E11
E11 to C11
C11 to C9
C9 to A7
A7 to C5
C5 to C3
C3 to E3
E3 to G1
I3toG7
K5toG7
K9toG7
I11toG7
E11 to G7
C9 to G7
C5 to G7
E3 to G7
Getting ready
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Position
SERIES TOPIC
13G 3
In this activity, you’ll make a map of a school fair. What will you need? Stalls? Rides? Ticket booths? A Haunted House? Photocopy the shapes below, then draw or label the shapes with your selections. Once you are done, cut them out and place them on the grid on the next page.
Choose an area that is easy to measure in your school such as the basketball court, your classroom or the school hall. Work with a partner to measure its length and width in metres. You’ll need a tape measure, metre ruler or trundle wheel to do this. Now represent the space on the grid below using the scale 1 cm = 1 m. If you choose a bigger region, you may need to adjust the scale.
1
Maps and scale – scale drawings
2
Weusescaledrawingstorepresentlargermeasurementsorareas.
Mapsandfloorplansaregoodexamplesofscalebeingusedinreallife.
We use one measurement to represent another, like this: 1 cm = 5 km copy
Teacher check.
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Position
SERIES TOPIC
14 G 3
Write 4 problems for your partner to solve such as, “How far is it from the Jumping Castle to the Trash and Treasure stall?”
Maps and scale – scale drawings
Design your fairground. Add paths and other features if you wish.3
1 cm represents 1 m
4
Teacher check.
Answers will vary.
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Position
SERIES TOPIC
15G 3
Workoutwherenorthisforyourmapandaddacompass. Writesomedirectionsforapartneraboutyourmap. “Whatlandmarkis10mnorth-westofthechipshop?” “Findtheshortestroutefromtheofficetothesportsshed.”
1 Walkaroundyourchosenregionandmakearoughsketchofwhatyourmapwilllooklike.Howdetailedwillyoube?Willyouincludealllandmarksorjustthemajorones?Itmayhelptotakephotostoassistyoulater.
2 Measureandrecordthesizeoflandmarksandthedistancesbetweenthem.Howprecisewillyoube?Makeadecisionastohowyouwillroundmeasurementsandapplythistoallyoursizesanddistances.
3 Yournextstepistodecidethescale.Whatsizepaperwillyoupresentyourmapon?Thiswillimpactonyourdecision.
4 Onceyouhaveallthisorganised,createyourmap.Youcancreateitfreehandorplace it on a grid. Label each landmark.
Map it out create
Getting ready
What to do
What to do next
Youaregoingtomakeascaleddrawingormapofafamiliarlocation.Thiscouldbeyourschool,room,home,orlocalneighbourhood.Choosesomewherethatmatchesyourinterests;shopaholicsmightchooseasectionofamall,sportsnutsmightmapthelocaloval,bookwormsmightchoosethelibrary.Youcanworkbyyourselforin a small group.
You’llneedatoolformeasuringthedistances.Ifyouaremeasuringacompactareasuchasyourhouseortheschool,youcoulduseatrundlewheelortapemeasure.Ifyouchoosealargerarea,youmayneedtoenlistanadulttousethecar’sodometertorecorddistancesbetweenlandmarks.Youcouldalsousemapsasaresearchtool.
I’m going to map my neighbourhood. It’ll need to be a bird’s-eye view.
Teacher check.
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Position
SERIES TOPIC
16 G 3
Taketurnsrollingthedie,pullingadirectionfromthecontainerandmovingyourcountertotheappropriatesquare.Thefirsttotheborderwinstheround.Makeitbest of 3 rounds.
Border or bust apply
Getting ready
What to do
Playthisgamewithapartner.You’llneed2counters,adie,8slipsofpaperlabelledN,S,E,W,NE,NW,SEandSWandacontainerforthedirectionslips.
START