Zahlenstrahl: Ganze Zahlen

Zahlenstrahl: Ganze Zahlen Screenshot  Download  Einbinden
  • Number Line
  • ganze Zahlen
  • Absolute Value

Inhalt

  • Number Line
  • ganze Zahlen
  • Absolute Value

Beschreibung

What do elevation, account balances, and temperature have in common? They can all be represented on a number line. Compare integers on a number line and in an inequality statement. Discover the meaning of absolute value.

Lernziele

  • Use positive and negative numbers to represent quantities in multiple contexts.
  • Explain the meaning of positive values, negative values, and zero, in multiple contexts.
  • Describe the location of a point on a number line with respect to another number.
  • Describe the location of a point on a number line with respect to its opposite
  • Define the absolute value of a number as its distance from zero.
  • Interpret inequality statements as statements about the relative position of two integers on a number line diagram.

Standard Alignment

Schulmathematik

6.NS.C.5
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
6.NS.C.6a
Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.
6.NS.C.6c
Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
6.NS.C.7
Understand ordering and absolute value of rational numbers.
6.NS.C.7a
Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret -3 > -7 as a statement that -3 is located to the right of -7 on a number line oriented from left to right.
6.NS.C.7b
Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write -3 oC > -7 oC to express the fact that -3 oC is warmer than -7 oC.
6.NS.C.7c
Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars.
6.NS.C.7d
Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than -30 dollars represents a debt greater than 30 dollars.
7.NS.A.1a
Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
7.NS.A.1b
Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Version 1.0.1

Dozenten Tipps

Download: Tipps für Lehrer (pdf) Überblick über Simulations Kontrolle, Modell Vereinfachung und Einsichten in Denkweise der Studenten ( PDF ).

Aktivitäten, die von Dozenten eingereicht wurden

SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Dieser Beitrag wurde von PhET konzipiert. Diana López S II
S I
Sonst Chemie
Biologie
Mathematik
Physik
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Dieser Beitrag wurde von PhET konzipiert. Diana López S I
GS
HA
Diskussion
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Sprache Download oder Start Tipps
Albanian Alle shqip Download Run now Drejtëza numerike: Numrat e plotë
Basque Alle Euskara Download Run now Zenbaki-lerroa: osoak
Bosnian Alle Bosanski Download Run now Brojevna prava: Cijeli brojevi
Chinesisch (traditionell) Alle 中文 (台灣) Download Run now 數線:整數
Croatian Alle hrvatski Download Run now Brojevni pravac: cijeli brojevi
Danish Alle Dansk Download Run now Tallinje: Heltal
Englisch Alle English Download Run now Number Line: Integers
Französisch Alle français Download Run now Droite des nombres : les entiers
Griechisch Alle Ελληνικά Download Run now Αριθμογραμμή: Ακέραιοι αριθμοί
Gujarati Alle Gujarati Download Run now સંખ્યા રેખા : પૂર્ણાંકો - Pankajsid34
Italienisch Alle italiano Download Run now Retta orientata: numeri interi
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Portugiesisch (Brasilien) Alle português (Brasil) Download Run now Linha Numérica: Inteiros
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Spanisch (Mexiko) Alle español (México) Download Run now Recta Numérica: Enteros Download: Tipps für Lehrer (pdf)
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HTML5 sims:


Die neuen HTML5 Simulationen laufen auf iPads und Chromebooks sowie auf PC, Mac und Linux Systemen.

iPad:
iOS 9+ Safari
Die HTML5 PhET Simlationen werden von ab iPad2 unterstützt. iPad kompatible Simulationen finden Sie hier.

Android:
wird offiziell nicht unterstützt. Wenn Sie die HTML5 Simulationen auf Android nutzen, empfehlen wir Ihnen die aktuellste Version von Google Chrome und Android 4.1+.

Chromebook:
Aktuellste Version von Google Chrome
Alle HTML5 und Flash PhET Simulationen werden auf Chromebooks unterstützt. Eine Liste finden Sie hier.

Windows Systems:
Microsoft Edge und Internet Explorer 11, aktuellste Version von Firefox, aktuellste Version von Google Chrome.

Macintosh Systems:
OS 10.9.5 oder aktueller, Safari 9+, aktuellste Version von Firefox, aktuellste Version von Chrome.

Linux Systems:
Offiziell nicht unterstützt. Bitte kontaktieren Sie phethelp@colorado.edu wenn Probleme auftauchen.


Java and Flash sims:


Die Java und Flash Simulationen laufen auf den meisten PC, Mac und Linux Systemen. Detaillierte Systemvoraussetzungen, um die Original Simulationen zu starten:

Windows Systems:
Windows 10, 8.1, 7
RAM: 256 MB
Browser: Microsoft Edge und Internet Explorer 11, Firefox, Chrome
Aktuellste Version von Java

Macintosh Systems:
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Administratorrechte zur Installation.
Ein 64-bit Browser (z.B. Safari, Firefox oder Chrome) wird für Oracle Java auf Mac OS X benötigt.
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Linux Systems:
Oracle Linux 5.5+1
Oracle Linux 6.x (32-bit), 6.x (64-bit)2
Oracle Linux 7.x (64-bit)2
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Ubuntu Linux 12.04 LTS, 13.x
Suse Linux Enterprise Server 10 SP2+, 11.x
Browser: Firefox, Chrome
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