MINI INTEGRATEDRUGBY WORLD CUP

MATHS UNIT

PLAYERS

INTRODUCTION

Beginning NZC Level 1-2

Stage 2/3; 4

Moving-on NZC Level 2-3

Stage 5; 6

Challenging NZC Level 3-4

Stage 7;

Investigations NZC Level 5

Stage 8

The idea is to collect as many balls as possible and if you can collect 15 ball points or more you earn yourself a Maths 1stXV certificate (sample here) which can be downloaded in pdf form on the Ruggerland site.

MATHS 1st XV

has obtained the 15 points needed in the Rugby World Cup Maths Challenge

Teacher Date

BEGINNINGPLAYERS 1Here are the measurement statistics for Richard Kahui. Get your teacher to help make a life size cut out of him to put up on the wall.

Height 1.86mArm Span 1.86mFoot Length 29cmHand Span 24cmHead Circumference 57cm

Use non-standard units to compare yourself to an All Black, using non-standard units.

Unit used to measure (eg. hands, cubes, pencils, etc.)

All Black Me Difference

Height

Arm Span

Foot Length

Hand Span

Head Circumference

BEGINNINGPLAYERS 2How is a person’s height related to their arm span? Measure your arm span with a length of string against your height. What do you notice?

(See Diagram in F10 Algebra 3-4 pg 16)

BEGINNINGPLAYERS 3Use the players data cards.

Pose a question, sort the data cards to investigate this question.

91kg

Dan Carter

Age

170cm

MOVING-­ONPLAYERS 4Use standard units to compare yourself to an All Black.

All Black Me Difference

Height 1.95m

Time to run 100m 11 seconds

Distance to kick a ball 60m

Height of jump 2.5m

MOVING-­ONPLAYERS 5Look at the stat cards for 1924. Compare the stats with the team from 2010.

What is the difference? Use Measurement Cards 1 and 2

Who is the shortest in each team?

Who is the tallest in each team?

Who is the heaviest in each team?

Who is the lightest in each team?

What are the combined weights of the forward packs?

Investigate the differences between these two teams.

MOVING-­ONPLAYERS 6A method of predicting a person’s adult height is to

a. Double their height at 24 months (if a girl)

b. Double their height at 30 months (if a boy)

If Dan Carter is 1.79m (179cm) in height, what was his height at 30 months?

_____________________________________________________

If Emma Jensen is 1.60m (160cm) in height, what was her height at 24 months?

________________________________________________________

Investigate your own height at either 24 or 30 months. Predict how tall you will be as an adult. Will you be as tall as Dan Carter or Tom Donnelly?

________________________________________________________

Why do you think a boy’s measurements are taken at 30 months, rather than at 24 months?

________________________________________________________

MOVING-­ONPLAYERS 7Pose and answer a question using the Player Data Cards.

Gather information and communicate your findings.

Name:

Height:

Weight:

Age:

Findings:

MOVING-­ONPLAYERS 8Look at the two graphs below and write three statements about each one.

All Blacks Height

21 1

20 1 1

19 1 2 2 3

18 2 2 3 6 8 9

17 1 1 3 5 6 9

16 9

CHALLENGINGPLAYERS 9The players in 1924 were shorter and lighter than current All Blacks but the field remains the same size.

Proportionally thinking, investigate the percentage increase and the dimensions of a rugby field, and suggest new dimensions to fit the size of the current All Blacks.

What might be a typical height and mass of an All Black in another 80 years time?

CHALLENGINGPLAYERS 10Investigate the mathematician Da Vinci and make a presentation on the ‘golden ratio concept’. Here are the stats for Richard Kahui, does he fit the ratio?

Player Data CardsBacks

82kg

Aaron Cruden(Manawatu)

21

175cm 88kg

Albert Mathewson(Wellington)

24

173cm 95kg

Benson Stanley(Auckland)

25

185cm

104kg

Ma’a Nonu(Wellington)

28

182cm 92kg

Malili Muliaina(Waikato)

30

184cm 94kg

Piri Weepu(Wellington)

27

178cm

94kg

87kg

Dan Carter(Canterbury)

Zachary Guildford(Hawkes Bay)

28

21

179cm

184cm

95kg

97kg

Conrad Smith(Wellington)

Rene Ranger(Northland)

28

23

186cm

186cm

88kg

95kg

Cory Jane(Wellington)

Richard Kahui(Waikato)

27

25

183cm

186cm

92kg

Jimmy Cowan(Southland)

28

182cm 98kg

Josevata Rokocoko(Auckland)

27

189cm94kg

Israel Dagg(Hawkes Bay)

22

188cm

ForwardsAdam Thomson

(Otago)

28

102kg 196cm

Aled de Maimanche(Waikato)

25

113kg 185cm

Anthony Boric(North Harbour)

26

110kg 200cm

Kieran Read(Canterbury)

24

105kg 193cm

Liam Messam(Waikato)

26

108kg 190cm

Neemia Tialata(Wellington)

28

127kg 187cm

Corey Flynn(Canterbury)

29

108kg 184cm

Ben Franks(Tasman)

26

112kg 183cm

Brad Thorn(Canterbury)

35

116kg 196cm

Samuel Whitelock(Canterbury)

21

102kg 202cm

Owen Franks(Canterbury)

22

112kg 186cm

Richie McCaw(Canterbury)

29

106kg 187cm

John Afoa(Auckland)

26

120kg 183cm

Keven Mealamu(Auckland)

31

106kg 181cm

Jerome Kaino(Auckland)

27

105kg 196cm

Tony Woodcock(North Harbour)

29

118kg 184cm

Victor Vito(Wellington)

23

109kg 192cm

Tony Donnelly(Otago)

28

113kg 200cm