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Escuela intermedia Grado 6 Grado 7 Grado 8

Grado 8 Unidad 1 Unidad 2 Unidad 3 Unidad 4 Unidad 5 Unidad 6 Unidad 7 Unidad 8 Unidad 9

8.3 Relaciones lineales

Lecciones Metas de aprendizaje

Lecciones

Relaciones proporcionales

1Comprendamos las relaciones proporcionales
2Gráficas de relaciones proporcionales
3Representemos relaciones proporcionales
4Comparemos relaciones proporcionales

Representemos relaciones lineales

5Introducción a las relaciones lineales
6Más relaciones lineales
7Representaciones de relaciones lineales
8Traslademos a $y=mx+b$

Encontremos pendientes

9Las pendientes no tienen que ser positivas
10Calculemos la pendiente
11Ecuaciones de todo tipo de rectas

Ecuaciones lineales

12Soluciones de ecuaciones lineales
13Más soluciones de ecuaciones lineales

Pongamos las cosas en práctica

14Usemos relaciones lineales para resolver problemas

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IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics®, and is copyright 2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). OUR's 6–8 Math Curriculum is available at https://openupresources.org/math-curriculum/.

Adaptations and updates to IM 6–8 Math are copyright 2019 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Adaptations to add additional English language learner supports are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Spanish translation of the original text is copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). Download for free at openupresources.org.

Spanish translation of the English-language adapations and updates are copyright 2019 by Illustrative Mathematics, and is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Spanish translation of the images is copyright 2019 by Illustrative Mathematics, and is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

This book includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.