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Student BookSERIES

GN

ame

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Geometry

Teacher BookSERIES

G

Geometry

Copyright

Contents

Topic 1 Lines and angles (pp. 16) lines ________________________________________________

classifying angles ______________________________________

measuring angles ______________________________________

hand it over apply ____________________________________

itsallinthetiminginvestigate __________________________

Topic 2 2D shapes (pp. 715) polygons _____________________________________________

quadrilaterals _________________________________________

triangles _____________________________________________

circles _______________________________________________

the shapes within apply _______________________________

rip it up investigate ___________________________________

Topic3Transformation,tessellationandsymmetry(pp.1624) line symmetry ________________________________________

rotationalsymmetry ___________________________________

transformation ________________________________________

tessellation ___________________________________________

enlargementandreduction ______________________________

picture perfect create _________________________________

design diva create ____________________________________

Topic43Dshapes(pp.2532) typesandproperties ___________________________________

nets ________________________________________________

drawing 3D shapes _____________________________________

to cube or not to cube investigate _____________________

form an orderly queue apply ___________________________

Date completed

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Series G Geometry

Series Authors:

Rachel Flenley

Nicola Herringer

Copyright

Series G Geometry

Series Authors:

Rachel Flenley

Nicola Herringer

Contents

Section1Answers(pp.132) lines and angles _____________________________________ 1

2D shapes __________________________________________ 7

transformation,tessellationandsymmetry _______________ 16

3D shapes __________________________________________ 25

Section2Assessmentwithanswers(pp.3350) lines and angles _____________________________________ 33

2D shapes __________________________________________ 37

transformation,tessellationandsymmetry _______________ 41

3D shapes __________________________________________ 47

Section3Outcomes(pp.5153)

SERIES TOPIC

1G 1Copyright 3P Learning

Geometry

1 Begin with a circular piece of paper.

4 FoldBuptoD,youvenowcreated point E.

7 Cut along fold lines EF and DG,onlytotheintersection.

2 Fold the circle in half.

5 Draw a perpendicular line from line CD to point E. Fold to create FE.

3 FoldAtomeetB.

6 Draw a perpendicular line from line CE to point D. Fold to create DG.

This paper folding activity relies on a thorough understanding of the terms in the box above. Try your hand at it! You will need a thin circular piece of paper with a radius of at least 8 cm.

These terms are commonly used when we work with lines and angles:paralleltheselinesarealwaysthesamedistanceapartateverypoint,theynevermeet perpendicular these lines intersect at right angles diagonal these are lines within a shape that join a vertex (corner) to another vertexintersectiontheplacewhere2ormorelinescrossovereachother

Lines and angles lines

1

A B

A BC

C

D

E

C

D

E

C

D

E

F

F

A B

C

C

B

D

D

E

G

D

EF

C

D

E

C

D

EG

G

F

C

D

EF

8 Opentheshape.Whathaveyoumade? A flower.

SERIES TOPIC

G 12Copyright 3P Learning

Geometry

a

angle

d

angle

b

angle

e

angle

c

angle

f

angle

Anangleistheamountofturnbetweentheintersectionoftwo rays (lines).

Anglesareconventionallymeasuredindegreeson aprotractor.360isafullturn,180isahalfturn, and90isaquarterturn.

Haveyouheardsomeonesay,Hedidacomplete180onthat.?Whatdoyouthinktheymeant?Whatdoes,Shedidafull360mean?

Complete the table and use the information to help you to classify the angles below. Use a maths dictionary to help you work out any unknown terms.

Lines and angles classifying angles

vertexangle

90

270

180360 0

1

2

right angles are _____

acute angles are _____________ than90

obtuse angles are __________ than90andless than _____

straight angles are exactly _____

reflexanglesare greater than 180andlessthan _____

revolutionangles are exactly _____

Make sure you check which angle youre meant to be measuring! The little arc tells you here.

Look at the interior angles in this shape. Mark any acute angles with a red arc; obtuse angles with a blue arc; reflex angles with a green arc; and right angles with an orange :

acute

90

180180

360360

moreless

right

obtusereflex

obtuse

reflex

G R

R

RB

O G

SERIES TOPIC

3G 1Copyright 3P Learning

Geometry

a b c

Weuseprotractorstomeasureangles.

1 Alignthebaselineontheprotractorwithoneofthe lines.

2 Line up the vertex of the angle with the centre point of the protractor.

3 Measurethedistancebetweenthetwolines,startingatthe0andcountinground.

Lines and angles measuring angles

List 5 sports or jobs where you think it would be important to consider angles. David Beckham can probably think of at least one.

a ______________________ b ______________________ c ______________________

d ______________________ e ______________________

Measure the interior angles of this shape. Write the measurements next to each angle. The first one has been done for you.

Use your protractor to measure these angles. Write the measurements next to the angles.

baseline centre point

This is an angle of50

50

0

1

3

2

_____

__________

25

55

150

315

60

90

70

160

90

soccer player diver cricket

builder architect

Answers will vary and may include:

SERIES TOPIC

G 14Copyright 3P Learning

Geometry

Make a time that shows an angle between the two hands of:

Look at the clock.

a Whatdoeseach5minutemarkerrepresentindegrees?____________

b Whatabouteachminute?____________

Lines and angles measuring angles

Work with a partner on this activity. Take turns predicting where you think the missing ray of the angle should go. Starting at the dot, rule your predictions then measure with a protractor. Mark in the actual angle. Who was closer? Do you get more accurate with practice? Invent more of these on another piece of paper if you have time.

a 45 b 60 c 270 d 135

a b

d

c

e

4

5

6

30 90

24

150

120

Decide where your first hand will go, then count round to create the angle.

30

6

Answers will vary.

SERIES TOPIC

5G 1Copyright 3P Learning

Geometry

What to do Spread your hand out in the box below and trace around

it.Estimatethenmeasuretheanglesformedbetweeneachfinger.Themeasurementswillbeapproximateonly.

Compareyourmeasurementswiththoseofapartner.Aretheysimilar?

Hand it over apply

Lookatthepictureofthehand.Whatwellknownanglewould you say is approximately formed by the thumb andforefinger?

Getting ready

Answers will vary.

SERIES TOPIC

G 16Copyright 3P Learning

Geometry

Its all in the timing investigate

What to do Howmanytimesdothehandsonaclockformarightanglewithina12-hourperiod?

Showthetimesontheclocksasyoufindthem.

Ifyoufind10ormore,youvemadeagreatstart.15ormore,youredoingverywell.Morethan20,youreindeedaTimeLordandpeopleshouldbowasyoupassby.

Wehavegivenyouthefirstonetogetyoustarted.

Youcanworkwithapartneronthisactivity.Youmayliketouseaclockwithmovablehands or to use copies of the clock faces below.

12:16

Getting ready

2:27

4:39

6:49

3:00

12:49

5:11

7:22

3:33

1:22

5:44

7:54

4:05

1:54

6:16

8:27

There are 22 times. Answers will vary and may include:

SERIES TOPIC

7GCopyright 3P Learning

Geometry 2

2D shapes polygons

Its time for a polygon pop quiz. Read through the questions and answer any you know. Now for