NS.1.1.b

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.

b.  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.

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Formative Assessments
Formative Assessments
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CPALMS: Students are asked to add integers using a number line.

Adding Integers

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CPALMS: Students are asked to rewrite a subtraction problem as an equivalent addition problem and explain the equivalence using a number line.

Rational Addition and Subtraction

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CPALMS: Students are asked to describe an example of additive inverse and demonstrate the concept on a number line.

Exploring Additive Inverse

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CPALMS: Students are asked to combine rational numbers, including fractions and decimals, and use the properties of operations to simplify calculations.

Rational Water Management

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CPALMS: Students are asked to find the difference between two integers using a number line.

Finding the Difference

Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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CPALMS: This virtual manipulative guides the student in the use of color counters to model subtraction of integers.

Color Chips – Subtraction

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Desmos: The purpose of this virtual game activity is for students to build and strengthen their conceptual understanding of adding & subtracting integers as a foundation to procedural fluency by using a virtual number line to ``hit`` a target number.

Clothesline Integer Game – Desmos Activity by Andrew Stadel

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CPALMS: This interactive game allows students to review math concepts, including shapes, shape names, addition, multiplication, negative numbers and equivalent expressions.

Math Match – Concepts Review Game

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In this activity, students will draw connections between verbal, visual and symbolic representations of expressions involving signed numbers by using the vertical alignment of an elevator to develop techniques for evaluating expressions using signed integers.

Elevator Arithmetic by NCTM Illuminations

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CPALMS: The user is to drag ``batteries`` in order to create a circuit. The voltage of the batteries that are placed will be displayed on the voltmeter, and an equation will be displayed in a a list, giving an example of how positive and negative numbers work together.

Volt Meter (positive and negative numbers)

Assessment Questions
Assessment Questions
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Multiple Choice
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Multi-Select
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GRID 8
Videos of Expert Instruction
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Hook/Performance Tasks
Hook/Performance Tasks
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Illustrative Mathematics:The goal of this task is to subtract integers in a real world context and the use of number lines will be helpful for solving.

Differences of Integers