Selected works 2007 – 2011 William Kempton
William Kempton born 17.10.1987
Education
Work Experience
Contact Information
2008 – : Student of Industrial Design at The Oslo School of Architecture and Design, AHO.
2006 – present : ”What About Kempton”. Personal company, working freelance as a graphic/web designer. Clients include Norwegian Health Directorate, Mathematical Institute, University of Oslo, Hus&Bolig magazine, norskfilmproduksjon.no
Mail: william@kempton.no Telephone: + 47 970 16 506 Website: www.kempton.no
2010: Aalto Univerity Summer school 2003 - 2006: Arts and Crafts at Elvebakken upper secondary school / high school.
2007: Webdeveloper at Meat Digital. Developed websites for Hydrolift, PEAB.
Industrial design
Web
Current projects
6 / Tower Sauna
30 / Children’s book
48 / osloteamtrafikkskole.no
52 / Drawing tablet
10 / Disposable cutlery
42 / School math-posters
49 / helsedir.no campaigns
54 / Stokke baby carrier
12 / 0.2l Grape tonic bottle
44 / Advertisement posters
14 / Kinder toy 16 / Coffee Machine 22 / Bike jacket 26 / Storage furniture
Industrial Design
Observating
Planning
3D Modelling
Shaping
Sketching
6
Industrial Design Tower Sauna
Date Summer 2010
Tower Sauna
School Aalto Univerity
Course Summer School
ECTS points 6 points
Duration 2.5 weeks
7
The brief Build a sauna in two and a half weeks, using a 2.1 x 2.1 x 2.1 cube LVL (laminated veneer) panel as a basis. Fit the construction into a truck, which will be transported to Lahti, some 100km from Helsinki.
Collaborative Project
Vision
The Tower Sauna project is a 2.5 week workshopcollaboration between 21 students from all over the world.
Create a simple elevated summer sauna that can be placed by rivers, lakes and in forests.
Location
Helsinki, Finland
The Tower Sauna project was part of the �Wood in Construction and architecture� course at Aalto Summer School. The course was a challenge not only in crafts, but in communication. Attendees included students from as diverse countries as China, Singapore, Australia, Italy and Spain. CONTINUES
8
• The sauna box is elevated by 1.3m on columnial support, offering unexpected views to the surroundings, breaking the traditional relationship between sauna and ground • The sauna walking platform is 1.97m above ground, trapping hot air in the sauna box, and allowing airflow from below • The interior benches, along with the platform, are suspended from within the box • Visitors access the sauna from below by a vertical ladder • The structural columns take advantage of the strength of the box, keeping a minimal appearance • The exterior cladding protects the box from sun and rain, while maintaining a rhythm and amplifying the floating box • The exterior benches are movable, functioning as both seat and table
9
Several mockups were built of the interior. Making sure the seats were comfortable, solid and free of skrews where the user were in contact with them.
1m
From the final stages of the Sauna. The structure is made in a horizontal position, before using a crane-truck to transport it to Lahti, and positioning it in its upright position.
Planning of the final assembly in Lahti. Being prepared eliminated a lot of potential problems.
10
Industrial Design Disposable cutlery
Date Spring 2010
m책ke cutlery Use once with style
School AHO
Course 4th semester GKIDE
ECTS points 3.6 points
Duration 4 weeks
11
The brief Using 3D printing as a prototyping-tool to create disposable cutlery that is to be produced in 500 000 copies with a low production cost.
Collaborative Project William Kempton, Peder Eskild, Maria Karlsen
Måke cutlery is made with a low production cost in mind. With an identical volume in both knife and fork. The drawing shows how the cutlery can easily be produced in series in a 2-part mould.
Our task
Måke disposable cutlery provides clean, hygenic eating utensils, all contained in a single unit, easy to dismantle.
Our main objective, and keyword for the project, was hygiene. Disposable cutlery are often used when puchasing fast-food, eating in aeroplanes etc., and involves either an hygenic issue or a lot of extra packaging. The måke cutlery is selfpackaged and doesn’t need additional packaging.
KEY TASK Solving a problem area
12
Industrial Design 0.2l Grape tonic bottle
Date Spring 2010
Bittersweet
SYMPHONY
School AHO
Course 4th semester GKIDE
ECTS points 3.6 points
Duration 4 weeks
70% Grapefruit / 30% Tonic Water
Final design. 3D printed in nylon Bottle in full size. 3D printed acrylic Different mockups. 3D printed in nylon
The brief A new company is releasing a beverage that contains grapefruit and tonic. Make a 2dl plastic bottle, together with a name and identity. The bottle is to be sold in shops and kiosks.
Early / final sketch. Idea of a peeled grapefruit
Collaborative Project William Kempton, Morten Evensmo, Victoria Hovland
Vision Design a bottle that translates the characteristic taste of grapefruit and tonic.
Bittersweet Symphony is the preferred beverage for the healthy, self-consious, dynamic modern man.
The task of the graphic designer is to add graphics to a finished physical shape. While making the bottle, we had the possibility of working in parallel with physical shape and graphics.
KEY TASK Defining a graphic / physical identity
The twisted shape signifies the bitter, tangy taste of the grapefruit. 1:1 size
13
14
Industrial Design Kinder toy
Date Spring 2010
School AHO
Course 4th semester GKIDE
ECTS points 3.6 points
Duration 4 weeks
Packaging with instructions and toy
Part of the card board packaging, a cut-out catapult leaf
Mapping similar existing toys
Different prototypes
The brief Make a Kinder toy. The toy must consist of a minimum of 2 pieces, and be contained within the yellow Kinder egg. Parts are to be made of plastic, and with a maximum cost of 1kr. Consider the restrictions for children’s toys.
Collaborative Project William Kempton, Morten Evensmo, Victoria Hovland
Vision
The Flying Bugz are a series of toys for the Kinder Surprise chocolate. Using a leaf from the packaging as a catapult, the Bugz will buzz and fly around.
Create a multi-piece kinder toy that is playful, whilst maintaining an interest to children over time. Research on kinder toys made us realize that the interest in the ’Kinder Surprise’ toys rapidly falls after the small yellow egg has been opened. We decided to do something with this problem. The toy is easy to assemble, and gives the child a toy that will last longer than the initial surprise.
KEY TASK Physical prototyping
15
16
Industrial Design Coffee Machine
Date Autumn 2009
IMPRESS TA KIN G T HE A E R O P RE S S Š O NE S T E P F U R T HE R
School AHO
Course 3rd semester GKIDE
ECTS points 10 points
Duration 7 weeks
17
The brief A part of the 3rd semester course user-centered design. The Norwegian coffee supplier Solberg & Hansen wishes to increase their sales of quality coffee to private households. Make a new coffeemachine that will increase their sales of coffee.
Collaborative project Kenneth Robertsen, Victoria Hovland, William Kempton
The concept
The Impress coffeemaker is inspired by a simple vision: “Make the perfect cup of coffee in the simplest possible way”
Based around the concept of the “Aeropress”, the Impress coffeemaker provides its user with a subtle, yet rich flavoured cup, low in acidity and without bitterness. The Impress principle is simple; brew the coffee-grains in 87*C water for 20 sec., and apply 10bar of pressure, filtering it though a 60micron filter, all executed by the machine. The user is left with a simple task; add coffee, press the button for the
choice of a small or big cup, and watch the coffee brew. Push the cleaning leaver, and enjoy your coffee. One rule still exists though, a cup of coffee is only as good as the quality of the coffee.
CONTINUES
18
Figure 3: Paper prototyping the user interaction
Figure 1: The original aeropress
Figure 2: Quantative model in Styrofoam
The process The project consisted of 3 separate stages: research, conseptalization and revision. The first stage, consisting of researching coffee-habits and desires, gave us some interesting results. Drinking cappucchino and caffee latte is considered a treat at the cafĂŠ. The survey addressed a desire for higher quality regular black coffee at home. It is by far the most consumed coffee in Norway, with an average of 3 cups a day. On basis of this reseach, we saw the Aerobie Aeropress as a great potential in relation to consumer needs. The Aeropress (figure 1) is a niche product, creating great results, but with a seemingly complicated user experience. We set up a principle
Interaction goal: create an accessible, easy-to-use, automated coffee-machine. We wanted the aestetics to reflect its affordability.
Paper prototyping (figure 3) was a valued tool in the construction of user interface and interaction for the coffee-maker.
Based on the principle and quantative analysis of the structure, models were visualised. Drawings, quantitative models in Styrofoam (figure 2), clay models, and paper prototyping formed the basis of the first model (figure 4).
A thorough search of the current marked for coffeemachines, led us to the Aeropress. It is a simple tool, and produces the perfect coffee.
This model was submitted for focus group user testing. Feedback from the session provided new insight for improvement on our revised and final design.
The coffeemachine is made with concern to simplicity, affordability, ease of use/maintenence and of course great coffee-taste.
19
Figure 4: �Aeromatic�, the first apperance prototype, was submitted to userfeedback sessions.
timeline Process
20
Mapping user habits
Tim Wendelboe, world champion Barista and entrepeneur, provided us with new insight.
Prototyping
What kind of coffee do people make at home? What is the most annoying part of making coffee? Important questions had to be considered when embarking on a new coffee-machine concept.
What kind of cof fee do you want to make at home? Clarifying goals
1st Week
statist ics based on 75 rep
lies
Having a clear goal is a great help when transferring facts and words into drawings and physial objects.
Expert opinion
cappuchino, latte etc.
regular black coffe
espresso
2nd Week
3rd Week
21
Final product User feedback
The final product, made with: • • • •
Vacuum-formed acrylic sheets Cibatool foam 3D printed nylon pieces Hard work
Getting user feedback at Opinion A/S on the first model, allowing positive changes to the final model.
4th Week
5th Week
6th Week
22
Industrial Design Bike jacket
Date Spring 2009
School AHO
LIGHT for
LIFE
Course 2nd semester GKIDE
ECTS points 18 points
Duration 12 weeks
23
The brief The 2nd semester project had a simple brief. Lights carried on the body. Individual project
Light saves life Not everyone wants to look like a fluorescent construction worker or athlete when cycling to school or work.
’Light for Life’ is a bicycle jacket for a safe journey
The ’Light for life’ bicycle jacket is made in the natural materials wool and hemp. By embedding LED lights into the jacket buttons, the user needs nothing more than his jacket when cycling at night.
The lights are activated by pressing the cuff links on the left or the right arm. This activates a series of lights blinking to each side. By pressing both sides all the lights blink simultaneously.
2.prize at
instructables.com
competition
The lights are connected to a Lilypad Arduino electronic board with conductive sewing thread.
CONTINUES
24 Vision
”Clothing for cyclists who don’t want to wear yellow vests”
The LED is placed inside the button. + and - connectors are connected through conductive thread.
Placing the buttons where they will not be obstructed by backpacks.
User / User area / Usage • Made for cyclists • Cycling in urban areas, where the user has to stretch out an arm to show where he’s going • Light- and turn-signals are activated by physical pressure on cuffs. • Activate without the user having to let go of breaks or pedals.
Design
• Position the light in a way that backpacks won’t be in the way • Non-cable construction. Use of conductive thread to integrate electronics in textile. • Embedded LED’s in buttons • Electronical board mounted on the inside of jacket.
25
Sewing with conductive and normal cotton thread. Cotton thread is placed on the outside of the jacket to create patterns. Drawings of connections to calculate the resistance in the tread, between the power source and the LED’s to get the correct voltage. LED’s shining in the dark. A combination of red and orange light is used, to symbolize the rear. LED’s in daylight, disguised as a normal jacket buttons. The Arduino, battery and connector. Mounted on a PCB prototyping board, and connected to the jacket via a 17-pin connector.
26
Industrial Design Storage furniture
Riot.
Date Autumn 2008
School AHO
Course 1st semester GKIDE
ECTS points 6 points
Duration 4 weeks
27
The brief As part of the introduction to the workshops at AHO, the task was to greate an ’emotion’ through a physical object, using wood as material.
Individual project
An early mockup of ’Riot’ storage
Detail and overview of ’Riot’.
The consept
The Riot furniture is a multipurpose storage system.
The Riot multi-purpose storage system is intended for those of us who use any available chair or table to place trousers, shirts and jackets. It works as a bookshelf, clothing rack and storage system.
The scenario • Clean clothes are put in drawers • Used jeans etc. are placed in open spaces
Print abcd1234
AaBb1234
abcd1234 AaBb1234
Collecting fab rik ken
Fa b rik
FA B
rik
rik
rik
KEN
Fa b
ken
ken
ken
ken
fab rik
ken
RIK
n
rik
ikke
ken
fabr
fab
fab
fab
FA B RIK KEN
RIK KEN
rik ken
KEN
fab
RIK
FA B
FA B
ken
ken
rik
rik
fab
fab
fab rik
rik ken
ken
fab
rik
ken
fab
RIK
KEN
FA B
RIK
KEN
30 pros 30 for bar jekter p ro na fo r b s j e k ter arn a
FA B
Fa Buz mily zne ss
Generating
t
ent
Stud
e
take
F책re
t
take
F책re
Famili
Pros for jektbok genede neste en Pros rasjo ner for jektbok genede neste en rasjo ner
Nasjonal
rasjon
rasjon
gene gene
neste neste
for for
oken oken
sjektb sjektb
Pro Pro
ist
Revising
Pro sjektb Pro sjektb oken oken for ne ste for neste gene gene rasjon sjekte rasjon r for barn mello m3 og 99 책r 33 pro
30
Print Children’s book
Date Autumn 2010
33 byggeprosjekter
Client AHO
Course 5th semester GKIDE
for barn mellom 3 og 99
ECTS points 30 points
Duration 17 weeks
31
The brief With focus on identity & interaction, the theme for the 5th semester was ’Play:OSLO’. The task was to create a brand with a complete graphic identity, logo and marked placing, around a physical object/ concept.
Individual Project
Background ”Make apple packaging in ’Entrepreneurship for the young’, or arrange ’ Fleet Race for
’FamilieFåretaket: 33 projects for children between 3 & 99’, is a Do-It-Yourself book for the whole family.
the whole family’” Neither children’s books nor Do-ItYourself books are news on the marked. While the combination of these two are rare in Norway, books like ’DIY Kids’
by Ellen Lupton and ’Geekdad’ by Ken Denmead have accomplished great success internationally.
3 nominations at AH0WORKS 2010
With core values such as ’Spontanity’, ’Creativity’ and ’Inspiration’, a goal for my work has been to activate the whole family through friendly competition, play and creative exploration.
CONTINUES
32 The book
Vision
Each project is ranked by:
The joy of creating with others
• • • •
Time Equipment Level of difficulty Season
prosje
kter
gge 33 by
for barn
mellom
9 3 og 9
Values
Spontaneity Creativity Inspiration Resourcefulness
The little helper in the book, the sheep, shows us how we print out pdf’s and share pictures with others at fåretaket.no.
The website The level of userinteraction on the website consists of two layers, normal and pro. Normal users have access to se what we see on the website. They can access pdf’s and reply to comments.
ilie
m Fa
KJØP BOKEN
KONKURRANSER FORUM NYHETER
HJEM PROSJEKTER
Grunderskolen for de unge
PDF uten dekor
PDF med dekor
Mag nus n em Magnus sisin emb balallas lasjeje Magnus sin emballasje
Siste kommentarer / til forum Magnus Maalen-Johanssen, 11 år Jeg laget akkurat en emballasje, den var kjempefin!
Trine Reimnes, 41 år Prøv også med transperent papir!
Beskrivelse
Bruksanvisning William Kempton, 23 år
Tid
The ’FamilieFåretaket’ concept recieved 3 nominations at the AHOWORKS competition in 2010. These were for ’Innovation in Design’, ’Form and Expression in Design’ and ’Innovative User-centered Design and Technology’.
x
Pro users have some additional benefits. They can upload images and download additional pdf’s.
Gratis epler i skøyenveien!
under 1t
l
Du trenger
Davide Barbero, 28 år
Saks, papir, pappas skolisser/ hyssing, papp, epler
Babetiboopeti!
Vanskelighetsgrad
Sara Zakariasen, 32 år
Lett
Jeg gjorde dette prosjektet med sønnen min, det var noe vi aldri hadde gjort før!
Sesong
Sommer/høst
Send
skriv inn tekst...
33 Mission
Format
”As the work on the book progressed, I realized that creating and making things have a value beyond itself. By dreaming up something and then putting dreams into practice, you understand your own abilities and skills. To see a potential is to enable action. This way you can set new goals. If not The Sky Is the Limit - at least it is not very far away.
If you have a goal of earning money, you can sell the apples from your garden. If you like moving dirt, you can create your own wheelbarrow. If you have a Thor Heyerdahl adventure dream in your stomach, you can start with making a model raft. It all starts in your mind.
Photography
Illustrations
Photography is the link to the phycial world, and shows the products / results in use.
Illustrations are important elements in the graphic profile of the book. They create atmosphere, as well as explaining each project in a fun and easy way.
• • • •
Landscape format Silk 170g paper 33 projects approx. 200 pages
280mm
210mm
Name
• Low focus depth • Product in focus
Fåretaket is the concept name for a series of books. Fåretaket is a pun on several norwegian words: Et foretak - Take action Foretak - Business / foundation etc. Får - Another word for sheep Familie - Family The name of this book is:
Lag hull
Klipp ut rundt omrisset
FamilieFåretaket
6
Logo
6
Tid
Prosjekt
Under en 1 time
Du trenger Saks, papir, pappas skolisser/hyssing, papp, epler, tosidig teip, et glass
Gründerskolen for de unge Å leke butikk er kanskje noe alle har gjort. Selv solgte jeg poser med epler fra et lite bord nederst i hagen. Fordi jeg var barn var nok folk ekstra hyggelige, og ekstra villige til å handle. Så fikk de også med seg varer av sunneste kvalitet!
gjør noe mer enn å beskytte. Et brød i en grov, naturfarget papirpose virker mer fristende enn et som ligger innpakket i plast. Og hva hadde julegaven vært uten knitrende papir og bånd i mange farger?
I dette prosjektet er eplene Emballasje har mye å si for å plassert i et rør med en praktisk vise et produkt fra sin beste bæresnor. Lag gaver av eplene side. Plasten eller papiret rundt dine, og selg dem for mer!
Vanskelighetsgrad Lett
Sesong Sommer/høst
“Jeg er bare en som lever...lever et liv. Hvis jeg blir frustrert av noe, prøver jeg å rette det opp. Det er alt.“ Richard Branson er en engelsk forretningsmann som ble adlet for sitt entrepenørskap i 1999. Han er mest kjent for firmaet Virgin, som inneholder mer enn 360 ulike bedrifter, blandt dem butikkjeden Virgin Megastore. plateselskapet Virgin Records og flyselskapet Virgin Atlantic. Han driver nå også sitt eget komersielle romprogram, Virgin Galactic.
epler 19,-
11
50 -19? 40
3... - 9 =3
Hvordan telle penger Hva gjør du når du får en femtilapp for epler som koster 19 kr? Det er lett å gå i surr med hoderegning! Trikset er følgende; tell deg oppover! Start med summen eplene kostet. Legg én krone i hånda, da har du 20 kr, deretter en ti-krone, da får du 30 kr. Fortsett med en tjuekrone, og vips, så har du riktig veksel!
12
1 6 8
75 2
hmm...
13
www.f책retaket.no/grunderen
Emballasjen er tilgjengelig p책 nettet. Alt du trenger er farget papir og en printer.
14
2
Glass
1
Pappas gamle skolisser, eller hyssing
Teip
Plass til 3 epler
Tegn omriss rundt glasset
3 Lag hull
Klipp ut etter omrisset
2 Printet ark Epler
6
Papp
1
3
6
4
4
5
Teip
5 Rull sammen og du er klar! Teip Dra skolisse/hyssing gjennom hullene
Klipp ut sirklene
15
Fa b r i k k e n
Fa b r i k k e n
FA B R I K K E N
FA B R I K K E N
FA B R I K K E N
timeline Graphic
40
1.gen. cartoonstyle
1.gen. logo/name
fabrikken
2.gen. logo/name
”Do It Now” Original name 2.gen. cartoonstyle
First layout for de unge Gründerskolen
Prosjekt nr.
selge nabojentene er Du har sett ket, og tenk til 50 kr styk perlekjeder også gjøre”! “Dette kan jeg
1
Lag din egen epleemballasje For de unge Tid
20min - til du blir gammel
Du trenger
Saks, papir, pappas skolisser/hyssing, papp, epler,
Vanskelighetsgrad lett
Sesong sommeraktivitet
1st Week
Fakta om emballasje Lite kan måle seg med å få julegaver. Det handler ikke bare om hva man skal få, men helle spenningen og mystikken rundt det. Ved å emballere beskytter vi varen vår, og gir kunden ekstra verdi tilbake. Lag gaver av eplene dine, og selg dem for mer!
3.gen. cartoonstyle
Introduction of the sheep
41 Tid
Prosjekt
Under en 1 time
Du trenger Saks, papir, pappas skolisser/hyssing, papp, epler, tosidig teip, et glass
Gründerskolen for de unge
Final layout
Vanskelighetsgrad
Final style
Lett
Sesong Sommer/høst
“Jeg er bare en som lever...lever et liv. Hvis jeg blir frustrert av noe, prøver jeg å rette det opp. Det er alt.“ Å leke butikk er kanskje noe alle har gjort. Selv solgte jeg poser med epler fra et lite bord nederst i hagen. Fordi jeg var barn var nok folk ekstra hyggelige, og ekstra villige til å handle. Så fikk de også med seg varer av sunneste kvalitet!
Richard Branson er en engelsk forretningsmann som ble adlet for sitt entrepenørskap i 1999. Han er mest kjent for firmaet Virgin, som inneholder mer enn 360 ulike bedrifter, blandt dem butikkjeden Virgin Megastore. plateselskapet Virgin Records og flyselskapet Virgin Atlantic. Han driver nå også sitt eget komersielle romprogram, Virgin Galactic.
gjør noe mer enn å beskytte. Et brød i en grov, naturfarget papirpose virker mer fristende enn et som ligger innpakket i plast. Og hva hadde julegaven vært uten knitrende papir og bånd i mange farger?
I dette prosjektet er eplene Emballasje har mye å si for å plassert i et rør med en praktisk vise et produkt fra sin beste bæresnor. Lag gaver av eplene side. Plasten eller papiret rundt dine, og selg dem for mer! 10
epler 19,-
4. generation drawing. Chosen style
11
Chosen layout style
PROSJEKT
Second layout
Grunderskolen for de unge Tid Under en 1t
x
l
Du trenger Saks, papir, pappas skolisser/hyssing, papp, epler
Vanskelighetsgrad Lett
Sesong Sommer/høst
6
x 3.gen. logo/name
6
17th Week
Print School math-posters
42
Date Autumn 2007
Client Mathematical Institute, Univerity of Oslo
5-7.trinn 6/22/09 11:39 PM Page 2
1-4.trinn 6/22/09 12:00 AM Page 1
BRØk
5-7.trinn 6/22/09 11:36 PM Page 1
5-7.trinn 6/22/09 11:42 PM Page 3
GEometriske Figurer
STATISTIKK
Areal og volum
På klassens skidag:
AREAL (A)
Trekanter
Rettvinklet trekant
Likebeint trekant
4 av 9 baller har gule felt – 5 av 9 baller har hvite felt – 2 av 9 baller har rosa felt –
Likesidet trekant
Firkanter
4 – 9
av alle ballene har gule felt av alle ballene har hvite felt av alle ballene har rosa felt
5 – 9 2 – 9
12 4 6 2
A=
Firkanter
r
Rektangel
sirkel
Kvadrat
a b
Parallellogram
ellipse
Brøk
Rombe
Brøk
hvor stor andel av sirkelens
Trapes
3 4
Brøkstrek
Teller
9
Brøkstrek
3
Volum (v)
1 4
1 3
Kule
2 4
1 2
=
2 3
3 4
60˚ Langrenn
Pyramide
l
G = l.b
b
G=
V=
g.h 2
G = π r2
H
g
4 . π r3 3
Sylinder
Kjegle
Pyramide H
r
3
V=s
H
H r
r
G. H V= 3
G. H V= 3
V = G.H
matematikk.org i samarbeid med:
5th - 7th grade
matematikk.org i samarbeid med:
Kjegle
Sirkelsektoren for langrenn: 4 . 360° = 60° 24 Sirkelsektoren for aking: 6 . 360° = 90° 24
Var hjemme
matematikk.org i samarbeid med:
1
Kule
s
s
V = l.b.h
Alpin
areal er skravert?
b
l
(a + b) . h 2
s
h
Var hjemme
Sektordiagram
A=
Kube
Prisme
Aktivitet Aking
Langrenn
Alpin
h
0 Kube
h a
A = l .h
A = π ab
A =π r
Aking
Prisme
b
h l
0
3-dimensjonale figurer
Trapes
Rombe
a
6
Nevner
h l
A = l .h
A = l .l = l
b
2
12
Nevner
Parallellogram
2
ellipse
sirkel
g.h 2
l l
A = l .b
Antall elever
A=
Kvadrat b
15
Teller
g.h 2
A=
l
Stolpediagram ( søylediagram )
Eksempel på brøk:
g.h 2
Rektangel
24
SUM, alle elevene i klassen
g
g
g
Alpin Langrenn Aking Var hjemme
Kan du lage andre brøker?
h
h
SUM
Tellestreker
Aktivitet
h
Trekanter
Telletabell ( hyppighetstabell / frekvenstabell )
Sylinder
matematikk.org i samarbeid med:
8-10.trinn 6/24/09 12:01 PM Page 2
1-4.trinn 6/22/09 12:05 AM Page 3
7
1-4.trinn 6/22/09 12:03 AM Page 2
Tall
5
3
12
6
4
Det tallsystemet vi bruker kalles 10-tallsystemet.
0
1
2
3
4
9
8
7
6
5
Med disse sifrene kan vi lage uendelig mange tall. 10-tallsystemet er et pLassverdisystem. Tallet 27 består av sifrene 2 og 7. Måten de er plassert på i forhold til hverandre sier oss at vi har to 10-ere og sju 1-ere.
Partall
2
8
6
4
De KAN deles i 2, med like mange enheter i hver del.
oddetall
1
27
3
5
7
9
De kan IKKE deles i 2 med like mange enheter i hver del.
Primtall
8
9
DEN LILLE GANGETABELLEN 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10
1
2
3
4
5
6
7
8
9
2
4
6
8
10
12
14
16
18
20
6
9
12
15
18
21
24
27
30
4
8
12
16
20
24
28
32
36
40
5
10
15
20
25
30
35
40
45
50
6
12
18
24
30
36
42
48
54
60
7
14
21
28
35
42
49
56
63
70
8
16
24
32
40
48
56
64
72
80
9
18
27
36
45
54
63
72
81
90
10
20
30
40
50
60
70
80
Forholdet mellom omkrets og diameter i en sirkel
8-10.trinn 6/24/09 11:59 AM Page 1
8-10.trinn 6/24/09 12:03 PM Page 3
10
3
90 100
omkrets π = diameter =
Pytagoras HUSK! Gjelder i alle rettvinklede trekanter.
funksjoner Funksjonsuttrykk for lineære funksjoner
Den første teoretiske beregningen vi kjenner ble gjort av Arkimedes (287-212 f.Kr.). Han fant tilnærmede verdier av omkretsen av sirkelen ved å se på omkretsen av likesidete mangekanter. Slik gjorde han det:
y
Areal = c2
Areal = b2
a2 + b2 = c2
b
(funksjonsverdi) (x2, y2)
y2
c
y2 - y1
a
matematikk.org i samarbeid med:
2.
x2
x1
4.
Sett delene sammen
Nytt uttrykk for
del opp kvadratet.
på denne måten.
samme areal.
b
matematikk.org i samarbeid med:
c
Areal = c2
c a
b a
b
bc
a
b a
c
a
c
b
a
b a
k< 0
Areal = a2 + b2
Først laget han en likesidet 6-kant inne i sirkelen og fant omkretsen av den. Etterpå laget han en likesidet 6-kant utenfor sirkelen og fant omkretsen av den. Omkretsen av sirkelen ligger mellom de to verdiene han fant. For å finne bedre tilnærmingsverdier gjorde han det samme for 12-, 24-, 48- og 96-kanter. Jo flere kanter desto bedre tilnærming. Resultatene fra 96-kantene ga en verdi på π som var litt større enn 223 og litt mindre enn 22. 71 7
• k er en konstant • y er omvendt proporsjonal med x • er IKKE en lineær funksjon • grafen er en kurve y
y a
b
y
k> 0
k< 0
k> 0 x
x
* r - radius, h - høyde, a og b - halvakser
x
matematikk.org i samarbeid med:
matematikk.org i samarbeid med:
d
π ≈ 3,14 Omkrets av sirkel:
Omvendt proporsjonalitet y= k x
• k er en konstant • y er proporsjonal med x • er en lineær funksjon med b=0 • grafen er en rett linje gjennom origo
a
b b
c
b
a
a c
1th - 4th grade
y = kx
3.
Bruk lengdene a og b og
på hypotenusen.
O
π brukes blant annet i disse formlene*:
x (variabel)
x2 - x1
Start med kvadratet
c
konstantledd, viser hvor grafen skjærer y-aksen
y2 - y1 a=x -x 2 1
b
Areal = a2
Hvorfor stemmer dette? 1.
y = ax + b stigningstall, viser hvor bratt grafen stiger/synker
(x1, y1)
y1
“Arealet av kvadratet på kateten med lengde a + arealet av kvadratet på kateten med lengde b = arealet av kvadratet på hypotenusen med lengde c.”
O d
Allerede 2000 år f.Kr. kjente babylonerne til at forholdet mellom omkretsen og diameteren i en sirkel er konstant.
Proporsjonalitet
tall. Kan bare deles med 1 og seg selv dersom svaret skal bli et helt 29, Primtall mellom 0 og 100: 2, 3, 5, 7, 11, 13, 17, 19, 23,
31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Tallet pi
matematikk.org i samarbeid med:
8th - 10th grade
2πr
Areal av sirkel:
πr2
Areal av ellipse:
π ab
Overflate av sylinder:
2 π r 2 + 2 π rh
Volum av sylinder:
πr2h
Volum av kjegle: Overflate av kule: Volum av kule:
1 πr2h 3 4 πr2 4 πr3 3
Production 9 x 40 000 copies
Duration 10 weeks
43
The brief We were commisioned by the Mathematical Institute at the University of Oslo to create 9 informational posters, aimed at creating awareness towards maths at Norwegian primary schools.
Collaborative Project Geoffrey Kempton, William Kempton
Rosewood Fill
Meta Normal
abcd1234 AaBb1234
Informational posters for maths at Norwegian primary schools
The posters
Geometric figures
The posters have been distributed to schools all over Norway, and are in the process of being converted to Saami and New-Norwegian. The posters were divided into groups of three;
The small multiplying table and Numbers for 1.-4.grade.
Area and Volume Fraction and Statistics for 5.-7.grade.
Functions, Pi and Pythagoras • 50x70cm dimention • fonts: Rosewood Fill, Meta • 9 x 40 000 copies
for 8.-10.grade.
44
Print Advertisement posters
Date Autumn 2010
Client Espresso House, Sweden
Production Concept
Duration 2 weeks
45
The brief To make a graphic profile and a series of posters for Espresso House in Sweden. This was done as a spec job together with Art Director Trond Kielland.
Collaborative Project
Trajan normal
Cochin italic
abcd1234
AaBb1234
The concept A series of posters with focus on personality and product. The reason for remaking the posters was the lack of people on the previous posters.
Conseptual posters for Espresso House in Sweden.
Web
#mainmenu ul li a{ color: #fff; height: 48px; line-height: 48px; font-weight: bold; text-transform: uppercase; padding: 0 14px 0 10px; display: block; font-size: 1.3em; }
CSS
* RENDER THE APPLICATION $mainframe->render(); // trigger the onAfterRender events JDEBUG ? $_PROFILER>mark(’afterRender’) : null; $mainframe>triggerEvent(’onAfterRender’);
PHP
Collaboration
jQuery(document).ready(function($){ $(”.catItemIntroText p”).hide(); $(”div.catItemImageBlock”).hover(function () { $(this).find(”img”).animate({ opacity: .3 }, 300); $(this).find(”p”).fadeIn(150); },function(){ $(this).find(”img”).animate({ left: ”0px”, opacity: 1 }, 200); $(this).find(”p”).fadeOut(150); });
Javascript
Looking to the future
48
Web osloteamtrafikkskole.no
Date Spring 2011
Client Oslo Team trafikkskole, Oslo
Osloteamtrafikkskole.no
Oslo Team Trafikkskole, located at Frogner in Oslo, has a lot of young clients. Their current webside offers little imagination and joy. The new website is based on the â&#x20AC;&#x2122;Joomla!â&#x20AC;&#x2122; platform, and gives the user possibilities of activities such as online booking of traffic-school courses.
Web helsedir.no campaigns
Date 2008 - 2010
Helsedirektoratet, helsedir.no The Norwegian Directorate of Health post different campaigns on their websides, among them ”Ansvarlig Vertskap, eResept, Litt Enklere, Helsekonferansen, Nøkkelhullet. ” The designs and CSS-templates were created for these individual campaigns: They are based around the Escenic Web Content Management Tool already used by the Norwegian Directorate of Health.
Client Norwegian Directorate of health
49
Current projects
Researching
Exploring
Enjoying
52
Current projects Drawing tablet
Date Winter 2011
DIY Screen tablet
Client Personal project
53 Wooden casing
The ”Cintiqify” project is the first prototype in what has become an extensive personal and passionate DIY project. The basic consept is to make a drawing tablet. Wacom, the most popular manufacturer of tablets, have a series of exspensive tablet screens called ”Cintiq”.
Power cable
LCD controller board/ Inverter
Inverter-/ LVDS-cable
Acrylic
Laptop
The ”Cintiqify” uses a Wacom Intuos4 large tablet, with custom LCD panel and controller board,
Pen
wrapped in a wooden casing.
Wacom Intuos4 Large
USB cable
15” LCD screen
15” hardened glass
54
Current projects Stokke baby carrier
Date Winter/Spring 2011
Client AHO
Course 6th semester GKIDE
ECTS points 30 points
Duration 17 weeks
55
The brief Stokke wishes to extend its product range, such as baby carriers. Stokke has a 98% international export of products, and seek a carrier that can be sold in all major export areas.
Focused
Individual Project
Genuine The users
How can Stokke make a modular baby carrier that appeales to men, that can also be adjusted for different usage?
The ’Birkebeiner’ • Uses a lot of money on skiing equipment • High income • Focused on health and staying in shape The Grandparents • Concerned with quality • Want the best for their first grandchild • Stable income The Expert • Uses several hours a day on research on childrens equipment
Passionate
Smart