Spatial orientation – point of view · Draw your model on the isometric graph paper: This time,...

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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.


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.


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


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


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.


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!


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


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


Position

SERIES TOPIC

9G 2

Holt St


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.


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


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


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


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


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.


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.


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.


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.

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Spatial orientation – point of view · Draw your model on the isometric graph paper: This time,...

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