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| (263 mellanliggande sidversioner av 4 användare visas inte) |
| Rad 1: |
Rad 1: |
| = [[Om Matematik 1C]] =
| | __NOTOC__ |
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| = Kapitel 1 - [[Taluppfattning och Aritmetik]] = | | {{sway | [https://sway.com/myUNCB8ZIICKh9jn?ref{{=}}Link Inledning] }} |
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| = Kapitel 2 - [[Algebra Ma1C|Algebra ]] = | | == Taluppfattning, aritmetik och algebra == |
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| = Kapitel 3 - [[Geometri Ma1C|Geometri]] =
| | [[File:algebraic equation notation.svg|thumb|right|Algebraic expression notation:<br/> 1 – power (exponent)<br/> 2 – coefficient<br/> 3 – term<br/> 4 – operator<br/> 5 – constant term<br/> ''x'' ''y'' ''c'' – variables/constants]] |
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| = Kapitel 4 - [[Samband och förändring]] = | | === [[Tal och talmängder]] === |
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| = Kapitel 5 - Sannolikhet och statistik = | | === [[Negativa tal]] === |
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| Kapitel 5 handlar om Sannolikhet och statistik och består av nio delar (en del har teori, exempel och uppgifter).
| | === [[Tal i bråkform]] === |
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| == 5.1 Hur stor är chansen? == | | === [[Faktorisering]] === |
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| '''Intro'''
| | === [[Primtal|Primtal]] === |
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| [http://www.khanacademy.org/video/basic-probability?playlist=Probability Khan Academy] om Probability | | === [[Delbarhet|Delbarhet]] === |
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| <html><script type="text/javascript" src="http://s3.www.universalsubtitles.org/embed.js">
| | === [[Potenser]] === |
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| {"base_state": {}, "video_url": "http://www.youtube.com/watch?v=uzkc-qNVoOk"}
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| )
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| </script>
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| </html>
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| Här har jag börjat skriva undertexter (subtitles) på svenska. Det är enkelt, bara att skaffa ett konto på Universal Subtitles och sätta igång. Vi kommer att göra övningar på detta så småningom, där ni får en film var att översätta.
| | === [[Positionssystemet och olika talbaser|Talbaser]] === |
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| === Sidorna 244-248 === | | == Algebra == |
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| fre - hemdiagnos denna fredag.
| | === [[Begrepp inom algebran]] === |
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| '''Definition:'''
| | === [[Algebraiska uttryck|Algebraiska uttryck]] === |
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| Sannolikheten för en händelse = antalet gynnsamma utfall / antal möjliga utfall
| | === [[Skapa uttryck]] === |
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| med P(A) menas sannolikheten för att händelse A ska inträffa.
| | === [[Algebra och modeller]] === |
| A kan bestå av flera händelser, exempel vis att slå över tre på en tärning.
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| P(A eller B) = P(A) + P(B)
| | === [[Omskrivning av formler]] === |
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| == 5.2 Oberoende händelser == | | === [[Ekvationer]] === |
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| === Sidorna 249-251 === | | === [[Grafisk ekvationslösning]] === |
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| fre
| | === [[Linjär olikhet]] === |
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| '''exempel 1, sid 249'''
| | === [[Potensekvationer]] === |
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| | === [[Problemlösning med ekvationer Ma1c |Problemlösning med ekvationer]] === |
| <br>
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| Kolla gärna Mikael Bondestam som förklarar kast med två tärningar = sannolikhet vid oberoende händelser:
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| <Youtube>EANNJSjare</Youtube>
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| | === [[Repetition av Ma1C Aritmetik och Algebra|Repetition]] === |
| <br> | | <br> |
| Här kommer en bild som är lämplig att projicera och sedan rita på om man diskuterar sannolikheter vid två tärningsslag:
| | [[File:Commutative Addition.svg|300px|Commutative Addition]] |
| <br>
| | {{clear}} |
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| <br>
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| == Khan Academy ==
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| Däremot får alla gå in en kort stund på '''[http://www.khanacademy.org/ KhanAcademy]''' på slutet av lektionen. Alla ska välja mig som coach så jag kan se hur det går. När du gör övningarna kan du klicka på Add coach längst ned på sidan. Gör det och adda mig.
| | == Geometri == |
| | [[Fil:Chinese pythagoras.jpg|300px|höger]] |
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| Mitt ID är hakan.elderstig@gmail.com
| | === [[Definition sats och bevis Ma1c|Definition, sats och bevis]] === |
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| == 5.3 Händelser i flera steg == | | === [[Geometriska satser och bevis ma1c|Geometriska satser och bevis]] - Vinklar och vinkelsumma === |
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| | === [[Grupparbete Geometri Ma1c]] Pythagoras sats === |
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| === Sidorna 252-255 === | | === [[trigonometri_Ma1c|Trigonometri (sinus, cosinus, tangens)]] === |
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| | === [[Vektorer|Vektor och dess representation (skalär/vektor)]] === |
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| Khan om oberoende händelser i flera steg:
| | === [[Addition och subtraktion av vektorer|Addition, subtraktion och multiplikation av vektorer]] === |
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| <youtube>xSc4oLA9e8o</youtube>
| | === [[NP muntligt övning]] === |
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| Sedan en kul grej bara.
| | === [[Problemllösning med trigonometri och vektorer]] === |
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| | [[Fil:TrigonometryTriangle.svg|250px|vänster]]<br /> |
| | <br /> |
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| Rulla tärning från http://www.geogebratube.org/student/m712:
| | {{Gleerups|[[Media:Kapitel_2_Gleerups_Ma_1c.pdf|Lösningar till Gleerups kapitel 2 (pappersboken)]]}} |
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| | {{clear}} |
| <br>
| |
| Mikael Bondestam om träddiagram för händelser i flera steg:
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| <br>
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| <youtube>qN64hazQ5-Q</youtube>
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|
| === Beroende händelser i flera steg, 256-258 === | | == Förändring och procent == |
| | [[File:Proportional variables.svg|thumb|Variable ''y'' is directly proportional to the variable ''x''.]] |
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| ti
| | === [[Procent Ma1c|Procentbegreppet, promille, ppm, procentenheter]] === |
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| MB
| | === [[Förändringsfaktor]] === |
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|
| === Komplementhändelse, 259-260 === | | === [[Index, lån, amortering]] === |
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| ti
| | == Funktioner och samband == |
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| [http://sv.wikipedia.org/wiki/De_M%C3%A9r%C3%A9s_problem De Meres problem] | | === [[Funktionsbegreppet|Funktion, definitions- och värdemängd]] === |
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| <ggb_applet width="835" height="381" version="4.0" ggbBase64="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" framePossible = "true" showResetIcon = "true" showAnimationButton = "true" enableRightClick = "true" errorDialogsActive = "true" enableLabelDrags = "true" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" />
| | === [[Representationer av funktioner]] === |
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|
| == Repetition inför provet == | | === [[Skillnaden mellan ekvation, olikhet, algebraiskt uttryck, funktion]] === |
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| onsdag
| | === [[Proportionalitet]] === |
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|
| [[Media:Lösningar_till_några_uppgifter_vi_övade_på_inför_provet_på_geometri,_funktioner_och_sannolikhet.pdf|Några lösningar till uppgifter vi gjorde på sista lektionen]]. | | === [[Linjära funktioner|Egenskaper hos linjära funktioner]] === |
|
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|
| '''Khan Academy'''
| | === [[Potensfunktioner]] === |
|
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|
| * [http://www.khanacademy.org/exercise/trigonometry_1 Khan Academy om Trigonometri]
| | === [[Exponentialfunktioner Ma1c|Exponentialfunktioner]] === |
| * [http://www.khanacademy.org/exercise/probability_1 Khan uppgifter om Sannolikhet]
| |
| * [http://www.khanacademy.org/exercise/probability_1 Khan om vektorer]
| |
| * [http://www.khanacademy.org/exercise/linear_equations_1 Khan om funktioner]
| |
|
| |
|
| '''Veckodiagnos 10'''
| |
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| Detta är en lösning till uppgift 4 på [[Media:Veckodiagnos_10.pdf|veckodiagnos 10]].
| | === [[Mönster och talföljder]] === |
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| | | [[Fil:Doubling time vs half life.svg|400px|vänster]] |
| == Prov kapitel fyra samt mindre delar av 3 och 5 ==
| | {{clear}} |
| | |
| fredag
| |
| | |
| [[Media:Prov_Matte_1c_kapitel_3,_4_och_5,_version_1_2-facit.pdf|Lösningar till provet]] | |
| | |
| '''Provgränser'''
| |
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| * Betyg E krävs 12 poäng
| | == Sannolikhet och statistik == |
| * Betyg C krävs dessutom 6 C-poäng
| | [[File:Svg-cards-pair.svg|thumb|Tre exempel på pokerhänder med ''ett par'']] |
| * Betyg A krävs 11 C-poäng och 3 A-poäng
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| == 5.4 Hur ofta inträffar en händelse? == | | === [[Statistik i samhälle och vetenskap|Statistiska metoder i samhället]] === |
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| === Relativ frekvens === | | === [[Oberoende händelse]] === |
|
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| Sid 262-264
| | === [[Beroende händelse]] === |
|
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| Intro från: [http://www.geogebratube.org/student/m784 GGBtube]. Dub'''Fet text'''belklicka för att se hela simuleringen.
| | === [[Spel, risk- och säkerhetsbedömningar]] === |
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" 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| | === [[Valet 2018]] === |
| <br>
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| <br>
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| <br> | | <br> |
| <html><iframe src="http://phet.colorado.edu/sims/plinko-probability/plinko-probability_en.html" width="800" height="600"></iframe></html>
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|
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| === Sidorna 261-266 ===
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|
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| ons
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| Här är det lämpligt med några laborationer. Kanske olika uppgifter som gruperna får redovisa på nätet.
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| == 5.5 Statistik i samhälle och vetenskap ==
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| === Sidorna 267-275 ===
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| fre
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| Här kan man tänka sig att eleverna gör egna undersökningar och redovisar...
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|
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| '''Medelvärde och standardavvikelse'''
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| |
|
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| Fri att använda. Från [http://geogebrainstitut.se/resurser/resurser.asp#MaA GeoGebraInstitutet]
| |
|
| |
| === Gapminder - övning ===
| |
|
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| www.gapminder.org
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|
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| samtidigt som vi kör muntliga nationella prov får elevernas uppgifter på gapminder att jobba med.
| |
|
| |
| === Film - undertexter ===
| |
|
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| En tanke är att eleverna får en film var från Khan Academy och att de gör en översättning till svenska av den engelska undertexten.
| |
|
| |
| == Monty Hall ==
| |
|
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| Lös det teoretiskt eller leta rätt på en lösning på nätet.
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|
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| Praktiskt experiment för att testa om det stämmer.
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|
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| Redovisa
| | [[File:Mikemoral-time stats.jpg|300px|left|Mikemoral-time stats]] |
| | {{clear}} |
|
| |
|
| http://sv.wikipedia.org/wiki/Monty_Hall-problemet
| | == Problemlösning == |
|
| |
|
| == 5.6 Vilseledande statistik == | | === [[Strategier för matematisk problemlösning inklusive användning av digitala medier och verktyg]]. === |
| | === [[Matematiska problem av betydelse för privatekonomi, samhällsliv och tillämpningar i andra ämnen]]. === |
| | === [[Matematiska problem med anknytning till matematikens kulturhistoria]]. === |
|
| |
|
| === Sidorna 276-277 === | | == [[Repetition av Ma1C]] == |
|
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|
| må
| | Mest gamla prov, länkar till Khan Academy, etc. |
|
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|
| == 5.7 Några statistiska lägesmått == | | == Relevansförmågan == |
|
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|
| === Sidorna 278-282 ===
| | : Vi jobbar på olika sätt med den [[Intro till Global uppvärmning|globala uppvärmningen]]. Vad kan vara mer relevant? |
|
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|
| ti
| | '''Huvuduppgift''': |
| | : [https://wikiskola.se/index.php?title=Intro_till_Global_uppv%C3%A4rmning#Se_filmen_Before_the_Flood Uppgiften som ska lämnas in finns här.] |
|
| |
|
| == [[Nationellt prov Ma1C]] - Onsdagen den 14 december ==
| | '''Alternativ uppgift''': |
| | : [[Relevansuppgift: Globala temperaturavvikelser från 1880 till och med 2014]] |
|
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|
| Behovet av repetition gör att vi kan senarelägga avsnitt 5.6 och 5.7
| | == [[Julemys]] == |
|
| |
|
| == Muntligt Nationellt prov ==
| | För den händelse du vill öka dina kunskaper och vässa dina förmågor avslutar vi Ma1c med dessa övningar. Det är nyttigheter för var och en men ett måste för er som vill höja era betyg (ni vet om ifall ni ligger nära gränsen). Om ni vill höja er kommer det att komma ett test när skolan börjar i januari. |
|
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| Egna undersökningar och gruppövningar
| | Gå in på denna sida så hittar ni uppgifterna och övningarna: [[Julemys]] |
|
| |
|
| * Sannolikheterna bakom "Kasta gris"
| | Övningarna består av texter och uppgifter i skön förening. Jobba med ett undersökande arbetssätt. Det kan hända att du har nytta av dina anteckningar, program eller resultat vid bedömingstillfället. |
| * GapMinder
| |
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