Unit 1.7:Attributes of 3-Dimensional Shapes
Three-dimensional objects (solids) with or without curved surfaces can be described, classified, and analyzed by their attributes, including faces, edges, and vertices.
Unless otherwise noted, SFUSD Math Core Curriculum is licensed under the Creative Commons Attribution 4.0 International License
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New Learning:
Re-engagement:
Students represent their sorts graphically.
Suggested Lesson Sequence: 7 Lessons to be taught over 3 Weeks
February 1 - 10
Description: Students explore the attributes of 3-dimensional shapes by sorting them, drawing them, and determine which attributes define them. Sorts are then recorded and the quantity of each category is compared.
Optional Organizing Data lessons focus on graphic representations and comparing category quantities.
Lesson 1: Entry Task - Seesaw Lesson 1 (Spanish) Shape Sort
Lesson 2: LS 1 Day 1 - Seesaw Lesson 2 (Spanish) Cones & Cylinders
Lesson 3: LS 1 Day 2 - Seesaw Lesson 3 (Spanish) Cubes and Rectangular Prisms
Lesson 4: LS 1 Day 3 - Seesaw Lesson 4 (Spanish) 3-D Shape Data
February 11 - 19
Lesson 5: Apprentice Task - Seesaw Lesson 5 (Spanish) 3-D Shape Riddles
Description: Students explore the faces and edges of 3-dimensional shapes through matching, tracing, and constructing shapes.
Lesson 6: LS 2 Day 1 & 2 Seesaw Lesson 6 (Spanish) - 3-D Shape Faces
Description: Students create new shapes using simple 3-dimensional shapes. They use 3-dimensional shapes to create patterns and they investigate which shapes grow and stay the same and which shapes grow and change.
Lesson 7: LS 3 Day 3 Seesaw Lesson 7 (Spanish) - Composing New 3D Shapes
Lesson 8 Seesaw Lesson 8 (Spanish)- Milestone Task
Synchronous and Asynchronous Teaching Options:
Use a combination of Synchronous and Asynchronous approaches
| Launch | Explore | Summarize |
Synchronous (live) Whole class or small group |
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Asynchronous (time-delayed) Individual |
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Additional Resource:
Splitting Screens on Zoom
You may be at a point in distance learning when you would like to have students work in another window while on Zoom if they don’t already. This allows them to do things like use virtual manipulatives to support their learning or work collaboratively in a Jamboard during live instruction.
You may use these short instructional videos (one for Chromebooks, one for Macs/PCs) to teach students how to split their screens between Zoom and another window. You can:
Technology Resources
Daily Routine: Number of Days in School
Objective: To build one-to-one correspondence, lay the foundation for an understanding of place value, and give students a concrete sense of the magnitude of numbers up to 180 and their relationship to the passage of time.
See the Number of Days in School (Spanish) slides for a description of how to incorporate this routine into your lessons.
Daily Routine: Counting Routine
Objective: To provide students opportunities to count forward and backwards by various whole numbers and decimals, developing an understanding of patterns in counting, addition and subtraction (and later multiplication) and place value.
See the Counting Routine slides for a description of how to incorporate this routine into your lessons.
Objective: The Data Routine has both social and a math objectives:
Social
Math
See the Data Routine slides for a description of how to incorporate this routine into your lessons.
Math Talks:Engage with Current Content
What do you notice/How much is shaded with 2/D Shapes
Objective: To develop a flexible understanding of half and fourth and review 2D shape names and attributes.
Description: Show students the figure and ask them what they notice. Record their noticings, then ask how much of the shape is shaded. If needed, add additional lines to the drawings or copy smaller versions for students to cut and manipulate. You may change the orientation of the shape as needed. Consider spending more than one day on these math talks. You might also consider changing the portion that is shaded.
Fraction Shapes Question: What do you notice? How much of the shape is shaded?
Math Talks:Engage with Current Content
¿Que observas? ¿Que cantidad de la forma está en gris?
Forma con fracciones #1
¿Que observas? ¿Que cantidad de la forma está en rosado?
Forma con fracciones #2
¿Que observas? ¿Que cantidad de la forma está en verde?
Forma con fracciones #3
¿Que observas? ¿Que cantidad de la forma está en azul?
Forma con fracciones #4
¿Que observas? ¿Que cantidad de la forma está en rojo?
Forma con fracciones #5
¿Que observas? ¿Que cantidad de la forma está en anaranjado?
Forma con fracciones #6
¿Que observas? ¿Que cantidad de la forma está en verde?
Forma con fracciones #7
Math Talks:Engage with Previous Content
Number of the Day
Objective: Students develop a deeper sense of number through exploring the different ways that numbers can be represented, decomposed and composed.
Description: Students are given a number and asked how they might represent it. Students may create equations, give situations (10 ducks on the pond, for example), or suggest drawings or patterns. Use chart paper to collect the representations. Consider leaving the collections posted for students to use as a reference.
Suggested Math Talks:
Question: How could you show ___?
Possible Summary: Which representation is easy for you to understand? Which one is harder? Which representation would you like to try in the future?
Objective: To focus attention on a single number to build understanding and recognition, and to help students grow in the ways they think about numbers and operations by sharing ideas with their peers about how to represent numbers.
Present students with a number. They generate a variety of representations of the number, including drawings, equations, and visual models. This can be done mentally, with paper and pencil, or on virtual white boards or the provided Jamboard. Work does not have to be limited to equations, but can include:
Types of numbers can be adapted to the grade level and unit content.
Reflections questions may include “What do you notice/wonder?” or “What is similar/different between representations?
Use Jamboard Number of the Day (Spanish) to record or have students record representations.
Jamboard Number of the Day TEMPLATE
Make a copy and write your number of the day
¿Cómo puedes mostrar…?
10
Charla matematica
Lesson 1: Entry Task
Whole Class or Groups: Launch- Review 2-D shapes that students worked with in Unit 1.2
Independent work: Explore - Seesaw Lesson 1 (Spanish) Shape Sorts
Whole Class or Groups: Summarize-
Students name the shared attributes of two different shapes. |
Normas matemáticas
24
Los errores son regalos que promueven el debate.
Las respuestas son importantes pero no representan las Matemáticas.
Hablemos de lo que cada uno piensa.
Haz preguntas hasta que las ideas tengan sentido.
Haz uso de múltiples estrategias y múltiples representaciones.
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
Introduccion a formas
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Algunas formas son planas o de 2D
Algunas formas son sólidas o de 3D
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
Busqueda de formas de 3D
INICIAR |
1 |
¿Cuales formas vees?
INICIAR |
1 |
¿Que es igual?
____ y ___ tienen ______ en comun.
____ y ___ tienen ______ en comun.
INICIAR |
1 |
Vamos a sortear formas en diferente maneras:
Sortear formas
Formas de 2D
Formas de 3D
EXPLORAR |
2 |
¿Que es otra manera que podemos sortear estas formas?
Sortear formas
______________
______________
EXPLORAR |
2 |
¿Que notas?
Dile a alguien tu idea.
“Yo noto que _______.”
RESUMIR |
3 |
¿Que notas?
“Yo noto que _______.”
RESUMIR |
3 |
¿Que te preguntas?
RESUMIR |
3 |
Esfera
RESUMIR |
3 |
¿Que es igual? ¿Que es diferente?
RESUMIR |
3 |
Atributos de formas de 3 dimensiones
vertice
cara
borde
apice
superficie curvada
borde curvado
Lesson 2: LS 1 Day 1
Whole Class or Groups: Launch-
Independent work: Explore - Seesaw Lesson 2 (Spanish) Cones & Cylinders
Whole Class or Groups: Summarize-
Students examine different 3-D shapes and sort them into groups of cones, cylinders and other, by their attributes. |
Normas matemáticas
37
Los errores son regalos que promueven el debate.
Las respuestas son importantes pero no representan las Matemáticas.
Hablemos de lo que cada uno piensa.
Haz preguntas hasta que las ideas tengan sentido.
Haz uso de múltiples estrategias y múltiples representaciones.
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
¿Que vees?
Haz las formas que ves con tus manos.
INICIAR |
1 |
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
Como dibujar...
Cilindro Cono
¿Cual no pertenece? ¿Porque?
“ ___ no pertenece porque ___.”
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INICIAR |
1 |
¿Que notas?
Dile a alguien tu ideas.
“Yo noto que _______.”
INICIAR |
1 |
¿Que notas?
“Yo noto que _______.”
INICIAR |
1 |
¿Puedes encontrar algo alrededor de ti que se parece a esta forma?
¿Que notas?
¿Que notas?
Vista de un pájaro
Vista de una hormiga
¿Puedes rodar tu forma?
INICIAR |
1 |
¿Que ves?
Haz las formas que ves con tus manos.
INICIAR |
1 |
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
¿Que notas?
Dile a alguien tu idea.
“Yo noto que _______.”
INICIAR |
1 |
¿Que notas?
“Yo noto que _______.”
INICIAR |
1 |
¿Puedes encontrar algo alrededor de ti que se parece a esta forma?
¿Que notas?
¿Que notas?
Vista de un pájaro
Vista de una hormiga
¿Puedes rodar tu forma?
INICIAR |
1 |
EXPLORAR |
2 |
EXPLORAR |
2 |
EXPLORAR |
2 |
¿Que te preguntas?
RESUMIR |
3 |
¿Que te preguntas?
RESUMIR |
3 |
RESUMIR |
3 |
forma | nombre | caras | bordes | vertices | superficies curvadas |
| cilindro | 2 | 0 | 0 | si |
| cono | 1 | 1 | 1 | si |
| esfera | 0 | 0 | 0 | si |
Lesson 3: LS 1 Day 2
Whole Class or Groups: Launch-
Independent work: Explore - Seesaw Lesson 3 (Spanish) Cubes and Rectangular Prisms
Whole Class or Groups: Summarize-
Students examine different 3-D shapes and sort them into groups of cubes, rectangular prisms, and other, by their attributes. |
Normas matemáticas
55
Los errores son regalos que promueven el debate.
Las respuestas son importantes pero no representan las Matemáticas.
Hablemos de lo que cada uno piensa.
Haz preguntas hasta que las ideas tengan sentido.
Haz uso de múltiples estrategias y múltiples representaciones.
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
¿Que ves?
Haz las formas que ves con tus manos.
INICIAR |
1 |
SAN FRANCISCO UNIFIED SCHOOL DISTRICT
Como dibujar...
Cubos
¿Que notas?
Dile a alguien tu idea.
“Yo noto que _______.”
INICIAR |
1 |
¿Que notas?
“Yo noto que _______.”
INICIAR |
1 |
¿Puedes encontrar algo alrededor de ti que se parece a esta forma?
¿Que notas?
¿Que notas?
Vista de un pájaro
Vista de una hormiga
¿Puedes rodar tu forma?
INICIAR |
1 |
¿Que notas?
Dile a alguien tu idea.
“Yo noto que _______.”
INICIAR |
1 |
¿Que notas?
“Yo noto que _______.”
INICIAR |
1 |
¿Puedes encontrar algo alrededor de ti que se parece a esta forma?
¿Que notas?
¿Que notas?
Vista de un pájaro
Vista de una hormiga
¿Puedes rodar tu forma?
INICIAR |
1 |
EXPLORAR |
2 |
EXPLORAR |
2 |
EXPLORAR |
2 |
¿Que te preguntas?
RESUMIR |
3 |
¿Que te preguntas?
RESUMIR |
3 |
RESUMIR |
3 |
forma | nombre | caras | bordes | vertices | superficies curvadas |
| cilindro | 2 | 0 | 0 | si |
| cono | 1 | 1 | 1 | si |
| esfera | 0 | 0 | 0 | si |
| prisma rectangular | 6 | 12 | 8 | no |
| cubo | 6 | 12 | 8 | no |
Lesson 4: LS 1 Day 3
Whole Class or Groups: Launch- 3-D Shapes Dance Ballet video: tinyurl.com/ybbrfomt - Discuss the way the figures were made and how they were sorted at the end.
Independent work: Explore - Seesaw Lesson 4 (Spanish) 3-D Shape Data
Whole Class or Groups: Summarize-
Students create a structure or picture with 3-D objects and sort them into categories. |
INICIAR |
1 |
INICIAR |
1 |
INICIAR |
1 |
Esfera Cilindro Cubo Piramide Cono
INICIAR |
1 |
INICIAR |
1 |
INICIAR |
1 |
EXPLORAR |
2 |
EXPLORAR |
2 |
EXPLORAR |
2 |
RESUMIR |
3 |
6
5
4
3
2
1
¿Cual forma tiene la mayor cantidad? ¿Menor?
¿Cuantos mas ____ que ____ hay?
RESUMIR |
3 |
Lesson 5: Apprentice Task
Whole Class or Groups: Launch-
Independent work: Explore -Seesaw Lesson 5 (Spanish) 3-D Shape Riddles, 3-D Shape Riddles .S. .C.
Students identify and select three-dimensional shapes by considering attributes given in shape riddles.
Whole Class or Groups: Summarize- Use student work or the examples provided:
Caras
Superficies curvadas
Vertices
Bordes
forma | nombre | caras | bordes | vertices | superficies curvadas |
| piramide | 5 | 8 | 5 | no |
| cilindro | 2 | 0 | 0 | si |
| cono | 1 | 1 | 1 | si |
| esfera | 0 | 0 | 0 | si |
| prisma rectangular | 6 | 12 | 8 | no |
| cubo | 6 | 12 | 8 | no |
INICIAR |
1 |
INICIAR |
1 |
Escucha
Toma una foto
EXPLORAR |
2 |
¿Con quién estás de acuerdo? ¿Porque?
A:
B:
RESUMIR |
3 |
¿Con quién estás de acuerdo? ¿Porque?
A:
B:
RESUMIR |
3 |
_______ es un/una __________.
Tiene ____ , __________.
RESUMIR |
3 |
Lesson 6: LS 2 Day 1&2
Whole Class or Groups: Launch-
Independent work: Explore - Seesaw Lesson 6 (Spanish) - 3-D Shape Faces, Geometric Solid Faceprints
Match a block that fits each faceprint exactly.
Students make faceprints by tracing all the faces of a geometric solid that they find around the house or build.
Pick one shape and upload a picture and record a description of it
Students match the faces of 1” geometric solids with their “faceprints.” Students trace the faces of their found or made geometric solids.
Whole Class or Groups: Summarize- Discuss why there might be different 3-D figures that can fit onto the same 2-D faceprint.
Students may notice that the faces of several different 3-D figures are the same, for example the half circle and the cylinder.
Core Math to Emphasize: The shape of a 2-D face on 3-D figure is a defining attribute. The intersection of 2 faces creates an edge.
¿Cuál no pertenece? ¿Por qué?
“El/la ___ no pertenece porque ___.”
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INICIAR |
1 |
¿Cuál parte de la forma estás describiendo?
cara
borde
vertiz
esquina
punto
Encuentra o construye cada forma que hay abajo
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INICIAR |
1 |
Objetos encontrados en la casa
INICIAR |
1 |
¿Cómo podríamos construir un cubo?
INICIAR |
1 |
¿Cómo podríamos construir un cono?
INICIAR |
1 |
¿Cómo podríamos construir un cilindro?
INICIAR |
1 |
¿Cómo podríamos construir una esfera?
INICIAR |
1 |
¿Podríamos construir algunas otras formas?
INICIAR |
1 |
¿Qué pasaría si utilizáramos nuestras formas 3D como un sello?
INICIAR |
1 |
EXPLORAR |
2 |
Encuentra o hace algunas de las formas...
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Traza todas las caras de las formas 3D
EXPLORAR |
2 |
RESUMIR |
3 |
RESUMIR |
3 |
Lesson 7: LS 3 Day 3
Whole Class or Groups: Launch-
Independent work: Explore - Seesaw Lesson 7 (Spanish)- Composing New 3D Shapes
Students build on to 3-dimensional shapes to see which ones change and which ones stay the same.
Whole Class or Groups: Summarize- Use actual student responses or the samples provided. You may choose to show some shapes that do match and some that don’t. Have each student give a one sentence description of their construction. Encourage students to use accurate shape names and location descriptions.
Core Math to Emphasize: New shapes can be composed from simple 3-dimensional shapes. Sometimes faces match when 3-D shapes are composed.
¡Utilicemos nuestras formas para construir otras formas!
Encuentra cualquier forma donde estés, y juntalas como quieras.
INICIAR |
1 |
¿Qué observas?
INICIAR |
1 |
¿Cómo podemos juntar estas formas para que sus caras coincidan?
“Podemos poner el/la ___ ____ el/la ___.”
Encima de
Debajo de
Al lado de
bajo
Adentro de
en
INICIAR |
1 |
Escoge tu forma favorita y usa el micrófono para describirla.
EXPLORAR |
2 |
¿Qué construimos?
¿La forma se queda igual...o cambia?
RESUMIR |
3 |
Lesson 8: Milestone Task
Whole Class or Groups: Launch-
Independent work: Explore - Seesaw Lesson 8 (Spanish)- Milestone Task
Students identify a cube and a cylinder and describe their attributes.
Whole Class or Groups: Summarize- Milestone Task 3-D Shapes Rubric Teacher
Core Math to Emphasize: Three-dimensional shapes can be named and described based on their defining attributes.
¿Qué forma es esta? ¿Cómo lo sabes?
¿Qué es el nombre de esta parte de la forma?
¿Qué forma tiene la cara de este bloque?
INICIAR |
1 |
EXPLORAR |
2 |
EXPLORAR |
2 |
Sólidos geométricos
RESUMIR |
3 |