Mathématiques!CM! Calcul! ! Mathématiques!CM! Calcul! ! PROGRAMMATION!CALCUL!CM2!...

Click here to load reader

  • date post

    09-Jan-2020
  • Category

    Documents

  • view

    2
  • download

    0

Embed Size (px)

Transcript of Mathématiques!CM! Calcul! ! Mathématiques!CM! Calcul! ! PROGRAMMATION!CALCUL!CM2!...

  • !

    Mathématiques!CM!

    ! Calcul!

    PROGRAMMATION!CALCUL!CM2!

    PERIODE!1! •C1!L’addition!des!nombres!entiers

    •C2!La!soustraction!des!nombres!entiers •!Evaluation

    ! PERIODE!2!

    •!C3!Multiplier!par!un!nombre!à!un!chiffre!et!par!10,!100,…,!20,!300,…! Les!tables!de!multiplication

    •!C4!Multiplier!par!un!nombre!à!plusieurs!chiffres! •!C5!Multiples!et!diviseurs

    •!Evaluation !

    PERIODE!3! •!C6!La!division!à!1!chiffre!

    •!C7!La!division!à!deux!chiffres •!Evaluation

    PERIODE!4! •!C8!L’addition!des!nombres!décimaux

    •!C9!La!soustraction!des!nombres!décimaux •!C10!La!multiplication!des!nombres!décimaux

    •!Evaluation

    PERIODE!5! •!C11!La!division!à!deux!chiffres

    •!C12!Multiplier!ou!diviser!un!décimal!par!10,!100,!1000,!…! •!C13!La!division!décimale!de!deux!entiers!

    •!Evaluation

  • !

    Mathématiques!CM!

    ! Calcul!7

    Pour!……………………………………………"" on"…………..…………………………..……"pour"connaître"le"nombre"" de"chiffre"du"quotient,"puis"on""…………..…………………" ……………………………simples." Exemple!:!7880!:!8! Encadrement!:!! ………………………………………………." ● "diviser"les"milliers":" on"ne"peut"pas"car"8"est"plus"petit"que"29." Le"quotient"n’aura"pas"de"chiffre"des"milliers.! ● "diviser"les"centaines":" En"……."Combien"de"fois"…….."?"……."fois" On"écrit""……..""au"quotient." Du"côté"gauche"on"calcule"le"reste!:"" ………………………………………………………………." ● "diviser"les"dizaines":" On"abaisse"le"chiffre"des"dizaines"…….""" En"……."combien"de"fois"…….."?"……."fois" On"écrit""……..""au"quotient." Du"côté"gauche"on"calcule"le"reste!:""

    ……………………………………………………………….! ● "diviser"les"unités":" On"abaisse"le"chiffre"des"unités"…….""" En"……."combien"de"fois"…….."?"……."fois" On"écrit""……..""au"quotient." Du"côté"gauche"on"calcule"le"reste!:""

    ………………………………………………………………." I"""""""Il"reste"……..!

    ● "Quotient":"……………"Reste"……!

    "Vérification"à"la"calculatrice"ou"à"la"main."

    ……………………………………………………………….!

    Trouve!le!nombre!de!chiffres!du!quotient!des!divisions!suivantes!:!

    4"567"divisé"par"17""" "17"""x"………..""

  • !

    Mathématiques!CM!

    !

    ! ! ! ! ! ! ! ! ! ! 8! 5! 3! 6! 2! 9! ! !

    Z! 5! 8! ! ! 2! 9! 4! !

    ! 2! 7! 3! ! ! ! ! !

    Z! 2! 6! 1! ! ! ! ! !

    ! ! 1! 2! 6! ! ! ! ! ! Z! 1! 1! 6! ! ! ! !

    ! ! ! 1! 0! ! ! ! ! ! ! ! ! ! ! ! ! !

    Calcul!7

    Pour!……………………………………………"" on"…………..…………………………..……"pour"connaître"le"nombre"" de"chiffre"du"quotient,"puis"on""…………..…………………" ……………………………simples." Exemple!:!7880!:!8! Encadrement!:!! ………………………………………………." ● "diviser"les"milliers":" on"ne"peut"pas"car"8"est"plus"petit"que"29." Le"quotient"n’aura"pas"de"chiffre"des"milliers.! ● "diviser"les"centaines":" En"……."Combien"de"fois"…….."?"……."fois" On"écrit""……..""au"quotient." Du"côté"gauche"on"calcule"le"reste!:"" ………………………………………………………………." ● "diviser"les"dizaines":" On"abaisse"le"chiffre"des"dizaines"…….""" En"……."combien"de"fois"…….."?"……."fois" On"écrit""……..""au"quotient." Du"côté"gauche"on"calcule"le"reste!:""

    ……………………………………………………………….! ● "diviser"les"unités":" On"abaisse"le"chiffre"des"unités"…….""" En"……."combien"de"fois"…….."?"……."fois" On"écrit""……..""au"quotient." Du"côté"gauche"on"calcule"le"reste!:""

    ………………………………………………………………." I"""""""Il"reste"……..!

    ● "Quotient":"……………"Reste"……!

    "Vérification"à"la"calculatrice"ou"à"la"main."

    ……………………………………………………………….!

    Trouve!le!nombre!de!chiffres!du!quotient!des!divisions!suivantes!:!

    4"567"divisé"par"17""" "17"""x"………..""

  • !

    Mathématiques!CM!

    !

    La!division!à!deux!chiffres!(2)

    Affichage!7

    8536 : 29 ! 8! 5! 3! 6! 2! 9! ! ! Z! 5! 8! ! ! 2! 9! 4! ! ! 2! 7! 3! ! ! ! ! ! Z! 2! 6! 1! ! ! ! ! ! ! ! 1! 2! 6! ! ! ! ! ! Z! 1! 1! 6! ! ! ! ! ! ! ! 1! 0! ! ! ! !

  • !

    Mathématiques!CM!

    !

    4! 9! ! 2! 2" " " " " " " " " " " " " " " " " " " " "

    4! 1! 2! 2! 5" " " " " " " " " " " " " " " " " " " " " " "

    1! 0! 7! 1! 4" " " " " " " " " " " " " " " " " " " " " " "

    2! 4! 3! 2! 3" " " " " " " " " " " " " " " " " " " " " " "

    3! 5! 4! 3! 6" " " " " " " " " " " " " " " " " " " " " " "

    3! 8! 0! 1! 7" " " " " " " " " " " " " " " " " " " " " " "

    2! 8! 9! 2! 6" " " " " " " " " " " " " " " " " " " " " " "

    7! 5! 1! 5! 1" " " " " " " " " " " " " " " " " " " " " " "

    4! 6! 5! 4! 7" " " " " " " " " " " " " " " " " " " " " " "

    5! 2! 3! 5! 2" " " " " " " " " " " " " " " " " " " " " " "

    4! 9! 1! 2! 8" " " " " " " " " " " " " " " " " " " " " " "

    3! 9! 8! 3! 8" " " " " " " " " " " " " " " " " " " " " " "

    8! 6! 2! 6! 2" " " " " " " " " " " " " " " " " " " " " " "

    5! 5! 6! 5! 2" " " " " " " " " " " " " " " " " " " " " " "

    6! 3! 4! 6! 3" " " " " " " " " " " " " " " " " " " " " " "

    5! 0! 2! 3! 9" " " " " " " " " " " " " " " " " " " " " " "

    4! 0! 0! 4! 9" " " " " " " " " " " " " " " " " " " " " " "

    9! 7! 3! 7! 3" " " " " " " " " " " " " " " " " " " " " " "

    6! 7! 0! 6! 4" " " " " " " " " " " " " " " " " " " " " " "

    7! 4! 5! 3! 3" " " " " " " " " " " " " " " " " " " " " " "

    Effectue!les!Divisions!suivantes.!

    Division!à!2!chiffres!

    Exercices!7

  • !

    Mathématiques!CM!

    !

    L’addition!des!nombres!décimaux

    Calcul!8

    Pour!………………………………………………………..…………………………..………"" "

    ● On"pose"l’opération"en"alignant!les!virgules!et"en"disposant!! les!nombres!en!colonnes"" (unités"sous"unités,"dizaines"sous"dizaines…)";! ●!On"complète!avec"des!zéros"si"nécessaire";" !

    ●!On"commence"à"calculer"à!partir!de!la!droite"sans"tenir"compte"de"la" virgule";" ●!On"place!la!virgule"au"résultat";" "

    !Calculer"toujours"……………………….………………." avant"de"poser"l’addition.! !

    Exemple!:! 357,9!+!68,76! Ordre!de!grandeur!:!! ……………………………………………….! !

    Pose!et!effectue!! ces!additions.!

    f) 109,26"+"101,73" g) 87,27"+"2,865" h) 3"046,48"+"268"46,8" i) 714"007,72"+"800,55" j) 640,23"+"4"+"78,06"

    a

    c

    b

    ed

  • !

    Mathématiques!CM!

    !

    L’addition!des!nombres!décimaux

    Calcul!8

    Pour!………………………………………………………..…………………………..………"" "

    ● On"pose"l’opération"en"alignant!les!virgules!et"en"disposant!! les!nombres!en!colonnes"" (unités"sous"unités,"dizaines"sous"dizaines…)";! ●!On"complète!avec"des!zéros"si"nécessaire";" !

    ●!On"commence"à"calculer"à!partir!de!la!droite"sans"tenir"compte"de"la" virgule";" ●!On"place!la!virgule"au"résultat";" "

    !Calculer"toujours"……………………….………………." avant"de"poser"l’addition.! !

    Exemple!:! 357,9!+!68,76! Ordre!de!grandeur!:!! ……………………………………………….! !

    a b

    e

    additionner deux nombres décimaux

    l’ordre de

    360 + 70 = 430

    ! ! ! ! ! ! ! ! ! ! ! ! 13! 15! 17,! 9! 0! ! ! ! +! ! 6! 8,! 7! 6! !

    ! ! ! 4! 2! 6,! 6! 6! !

    ! ! ! ! ! ! ! 1! 10! 9,! 2! 6!

    +! 1! 0! 1,! 7! 3!

    ! 2! 1! 0,! 9! 9!

    ! ! ! ! ! ! ! 18! 17,! 12! 7! 0!

    +! ! 2,! 8! 6! 5!

    ! 9! 0! 1,! 3! 5!

    ! ! ! ! ! ! ! ! 7! 8,! 0! 6!

    +! 16! 4! 0,! 2! 3!

    ! 7! 1! 8,! 2! 9!

    ! ! ! ! ! ! ! !

    ! 7! 1! 0! 0! 17,! 7" 2" +! ! ! 8! 0! 0,! 5" 5"

    ! 7! 1! 8! 0! 8,! 2" 7"

    ! ! ! ! ! ! ! ! 3! 0! 14! 16,! 4! 8"

    +!2! 6! 8! 4! 6,! 8! 0"

    2! 9! 8! 9,! 3! 2! 8"

    c d

    Pose!et!effectue!! ces!additions.!

    a) 109,26"+"101,73" b) 87,27"+"2,865" c) 3"046,48"+"268"46,8" d) 714"007,72"+"800,55" e) 640,23"+"4"+"78,06"

  • !

    Mathématiques!CM!

    !

    L’addition!des!nombres!décimaux

    Calcul!8

    357,9 – 68,76

    !13!15!17,!9!0!! +! ! 6! 8,!7!6!! ! 4! 2! 6,!6!6!!

  • !

    Mathématiques!CM!

    !

    L’addition!de!nombres!décimaux

    Exercices

    Pose!et!effectue!les!additions!suivantes.!

    45,2!+!78,9!

    73,52!+!5,65!

    213,5!+!15,78!

    80,52!+!63,56!

    78,21!+!63,52!

    896,21!+!45,29!

    1!560,21!+!126,32!

    8,20!+!6,32!+!85,36!

    47,63!+!5,21!!

    782,3!+!36,96!

    2,159!+!32,8!

    93,654!+!0,56!

    5,95!+!65,31!+!93,005!

    10,01!+!100,3!+!1,1!

    7,632!