# Number Line: Integers

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### Obsah

• Number Line
• Integers
• Absolute Value

### Description

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.

• 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.

### Standards Alignment

#### Common Core - Math

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 1.1.0

### Teacher Tips

 Učitelská příručka (pdf) obsahuje tipy poskytnuté od členů týmu PhET. ( PDF ).

### Teacher-Submitted Activities

SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López ZŠ II.st.
Ostatní Biologie
Chemie
Matematika
Fyzika
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5
ZŠ II.st.
Discuss
Lab
Demo

Guided
Astronomie
Fyzika
Matematika
Chemie
PhET Number Lines Integers Stories Activity Cari Fox ZŠ II.st. Guided Matematika
Albanian All shqip Drejtëza numerike: Numrat e plotë
Arabic All العربية مستقيم الأعداد الصحيحة
Basque All Euskara Zenbaki-lerroa: osoak
Bosnian All Bosanski Brojevna prava: Cijeli brojevi
Catalan All català La recta numèrica. Enters
Croatian All hrvatski Brojevni pravac: cijeli brojevi
Danish All Dansk Tallinje: Heltal
Dutch All Nederlands Getallijn: gehele getallen
French All français Droite des nombres : les entiers
German All Deutsch Zahlenstrahl: Ganze Zahlen
Greek All Ελληνικά Αριθμογραμμή: Ακέραιοι αριθμοί
Gujarati All Gujarati સંખ્યા રેખા : પૂર્ણાંકો - Pankajsid34
Hungarian All magyar Számegyenes: egészek
Chinese (China) All 中文 (中国) 数轴：整数
Chinese (Taiwan) All 中文 (台灣) Number Line: Integers_數線：整數
Italian All italiano Retta orientata: numeri interi
Korean All 한국어 수선: 정수
Latvian All Latviešu Skaitļu ass: Veselie skaitļi
Maori All Maori Te Rārangi Tau: Tau Tōpū
Persian All فارسی محور اعداد: اعداد صحیح
Polish All polski Oś liczbowa: liczby całkowite
Portuguese (Brazil) All português (Brasil) Linha Numérica: Inteiros
Serbian All Српски Бројевна права: Цели бројеви
Slovak All Slovenčina Číselná os: Celé čísla
Spanish All español Recta Numérica: Enteros
Spanish (Mexico) All español (México) Recta Numérica: Enteros
Spanish (Peru) All español (Perú) Recta Numérica: Enteros
Turkish All Türkçe Sayı Doğrusu: Tam Sayılar
Ukrainian All українська Числова пряма: Цілі числа
Uzbek All Uzbek Sonlar o‘qi: Butun sonlar
Vietnamese All Tiếng Việt Đường thẳng số: Số nguyên

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