Navigation

6-8 Grado 6 Unit 4 Lesson 4

Gradeband

K-5 Math •6-8 Math 9-12 Math

Course

•Grado 6 Grado 7 Grado 8

Unit

Unit 1 Unit 2 Unit 3 •Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

Lesson

Lesson 1 Lesson 2 Lesson 3 •Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17

K-5
6-8
9-12

Grado 6
Grado 7
Grado 8

Grado 6 acelerado
Grado 7 acelerado

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17

Lesson | Loading...

Sign in to access protected content and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

Professional Learning

Illustrative Mathematics® has operated as an independent 501(c)3 non-profit organization since 2013.

IM® 6-8 Math v.360, an IM v.360 curriculum, is ©2024 by Illustrative Mathematics®, and licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).

IM 6-8 Math v.360, an IM v.360 curriculum, is a derivative of IM 6-8 Math.

IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics®, and is ©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 v.360 are ©2024 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution-Noncommercial 4.0 International License (CC BY-NC 4.0).

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

The second set of English assessments (marked as set “B”) are ©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 “B” assessments are ©2020 by Illustrative Mathematics, and are 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 permission of Illustrative Mathematics.

This site 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.

Settings

Language

Audience

teacher

family

Not all roles available for this page.

Assessment Access

Sign in to view assessments and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

English
Español

teacher
student
family

Lesson 4

4.1 Warm-up 4.2 Activity Student Lesson Summary

Unit 4, Lesson 4

¿Cuántos grupos? (Parte 1)

Grado 6

4.1

Warm-up

Grupos del mismo tamaño

Escribe una ecuación de multiplicación y una ecuación de división para cada afirmación o diagrama.

Ocho billetes de $5 valen $40.
Hay 9 tercios en 3 unidades.

Are You Ready for More?

Have feedback on the curriculum?

Help us improve by sharing suggestions or reporting issues.

Submit Feedback

4.2

Activity

Razonemos con fichas geométricas

Tu profesor te dará fichas geométricas como estas. Úsalas para contestar las siguientes preguntas.

Four pattern blocks: One large yellow hexagon, one blue rhombus, one red trapezoid, and one green triangle.

Si un hexágono representa 1 unidad, ¿qué fracción representa cada una de las siguientes figuras? Prepárate para mostrar o explicar tu razonamiento.
- 1 triángulo
- 1 rombo
- 1 trapecio
- 4 triángulos
- 3 rombos
- 2 hexágonos
- 1 hexágono y 1 trapecio
Estos son los diagramas de Elena para y . ¿Crees que estos diagramas representan las ecuaciones? Explica o muestra tu razonamiento.

Two diagrams of pattern blocks: The first is of one red hexagon composed of two red trapezoids. The diagram is labeled with the equation 2 times one half equals 1. The second diagram is of two blue hexagons where each hexagon is composed of three blue rhombuses. The second diagram is labeled with the equation 6 times, one third, equals 2.
Usa fichas geométricas para representar cada multiplicación. Dibuja las fichas para mostrar lo que hiciste. Recuerda que un hexágono representa 1 unidad.
Responde cada pregunta. Si tienes dificultades, usa fichas geométricas.
1. ¿Cuántos hay en 4?
2. ¿Cuántos hay en ?
3. ¿Cuántos hay en 2?

Are You Ready for More?

Student Lesson Summary

Algunos problemas que involucran “grupos del mismo tamaño” también involucran fracciones. Este es un ejemplo: “¿Cuántos hay en 2?”. Podemos expresar esta pregunta con ecuaciones de multiplicación y de división.

Los diagramas de fichas geométricas nos pueden ayudar a comprender este tipo de problemas. Este es un conjunto de fichas geométricas.

Four pattern blocks: One large yellow hexagon, one blue rhombus, one red trapezoid, and one green triangle.

Si el hexágono representa 1 unidad, entonces un triángulo debe representar , porque 6 triángulos forman 1 hexágono. Podemos usar el triángulo para representar el del problema.

Two figures of pattern blocks. Each figure is 6 triangles in the shape of a hexagon.

Doce triángulos forman 2 hexágonos, lo cual significa que hay 12 grupos de en 2.

Si escribimos el 12 en el lugar del signo “?” en las ecuaciones originales, tenemos:

Glossary

None