Droite numérique: opérations

Droite numérique: opérations Capture d'écran  Téléchargement  Intégrer
  • Operations
  • Numéro de ligne
  • Les entiers

Sujets

  • Operations
  • Numéro de ligne
  • Les entiers

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.

Echantillon d'objectifs d'apprentissage

  • 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.

Alignements standards

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

Conseils des enseignants

Télécharger le PDF des astuces pour enseignants Présentation des contrôles des sims, simplifications des modèles, et un aperçu de la réflexion des élèves ( PDF ).

Activités soumises aux enseignants

Integer Addition and Subtraction Assessment Gillian Walker Clg
Lyc
Distant
Labo
Dv
Mathématiques

Les sims HTML5 peuvent fonctionner sur les iPad et les Chromebooks, ainsi que sur les systèmes PC, Mac et Linux.

iPad:
iOS 12+ Safari
Sims compatibles iPad

Android:
Non officiellement pris en charge. Si vous utilisez les sims HTML5 sur Android, nous vous recommandons d'utiliser la dernière version de Google Chrome.

Chromebook:
Dernière version de Google Chrome
Les simulations HTML5 et Flash PhET sont prises en charge sur tous les Chromebooks.
Sims compatibles Chromebook

Systèmes Windows:
Microsoft Edge, dernière version de Firefox, dernière version de Google Chrome.

Systèmes Macintosh: < / b>
macOS 10.13+, Safari 13+, dernière version de Chrome.

Systèmes Linux:
Non officiellement pris en charge. Veuillez contacter phethelp@colorado.edu pour les problèmes de dépannage.

Equipe de design Librairies tierces Remerciements à :
  • Amanda McGarry (lead design)
  • John Blanco (lead developer)
  • Ariel Paul
  • Kathy Perkins