# Number Line: Operations

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### Contidos

• Operations
• Número de Línea
• Integers

### Description

Explore operations with integers using an authentic context of net worth, then generalize with a number line. Experiment with adding and subtracting both positives and negatives, and make predictions about whether the total will be positive or negative.

### Obxectivos de Aprendizaxe

• Represent addition and subtraction of integers on a horizontal number line
• Reason about addition and subtraction of integers in terms of number-locations
• Use logical necessity to reason that addition has the opposite effect as subtraction or that adding (or subtracting) a negative integer has the opposite effect as adding (or subtracting) a positive integer.
• Recognize and generate equivalence classes of integer sums and differences
• Show that a number and its additive inverse (opposite) have a sum of 0
• Using a net worth context, describe situations that have a positive sum or difference, negative sum or difference, and zero sum or difference
• View adding a negative as equivalent to subtracting a positive, and explain why this relationship makes sense in contexts such as net worth.
• View subtracting a negative as equivalent to adding a positive, and explain why this relationship makes sense in contexts such as net worth.
• Apply a number line model for addition and subtraction to new contexts.

### Standards Alignment

#### Common Core - Math

7.NS.A.1
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
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.
7.NS.A.1c
Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
7.NS.A.1d
Apply properties of operations as strategies to add and subtract rational numbers.
Version 1.0.1

### Teacher Tips

 A guía de profesores (pdf) contén consellos creados polo equipo PhET. ( PDF ).

### Teacher-Submitted Activities

Integer Addition and Subtraction Assessment Gillian Walker BAC
S.O.
Remote
Lab
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Matemáticas

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