
Taking Shape
Grade 1, Mathematics
Description of Unit
In this interdisciplinary task, combining mathematics and theatre, students study geometric shapes in their environment through the lens of a fictional story such as The Greedy Triangle by Marilyn Burns. Students reinterpret the text, rewrite scenes, and adapt them into a short performance. Furthermore, students apply mathematical vocabulary and skills such as counting, sequencing and measuring through the design and construction of original costumes for the play.
This guide links the Taking Shape unit to the Texas Essential Knowledge and Skills (TEKS) for first graders. Taking Shape is an interdisciplinary mathematics unit that allows students to study geometric shapes and apply mathematical skills through the creation of an original play. Taking Shape also has interdisciplinary connections to Fine Arts and English Language Arts and Reading. For example, students will identify elements of a story including setting, character, and key events, as outlined in the English Language Arts and Reading TEKS, and assume roles through imitation, as described in the Fine Arts TEKS. The following document includes the applicable TEKS and the details of the Taking Shape unit. The final section of this document presents the applicable Texas College and Career Readiness Standards adopted by the Texas Higher Education Coordinating Board (THECB) on January 24, 2008.
Descripción de la unidad
En esta tarea interdisciplinaria, al combinar las matemáticas con el teatro, los estudiantes estudian figuras geométricas en su medio ambiente a través de la lente de una historia de ficción como The Greedy Triangle (El triángulo codicioso) por Marilyn Burns. Los estudiantes reinterpretan el texto, reescriben las escenas y las adaptan a una representación corta. Así mismo, los estudiantes aplican vocabulario y destrezas de matemáticas como conteo, secuencias y mediciones mediante el diseño y la elaboración de vestuarios originales para la obra.
Esta guía conecta la unidad Tomando forma con los Conocimientos y destrezas esenciales de Texas (TEKS) para los estudiantes de primer grado. La unidad Tomando forma es una unidad interdisciplinaria de matemáticas que permite a los estudiantes estudiar las figuras geométricas y aplicar las destrezas matemáticas mediante la creación de una obra original. La unidad también tiene conexiones interdisciplinarias con las Bellas Artes y la Artes del lenguaje y Lectura en inglés. Por ejemplo, los estudiantes van a identificar elementos de una historia incluyendo escenario, personajes y eventos clave, como se indica en los TEKS de Artes del lenguaje y Lectura en inglés y adoptarán funciones mediante la imitación, como se describe en los TEKS de Bellas Artes. El siguiente documento incluye los TEKS correspondientes y los detalles de la unidad Tomando forma. La última sección de este documento presenta los Estándares de Preparación para la Universidad, Carreras Técnicas y el Mundo Laboral de Texas (Texas College and Career Readiness Standards) adoptados por la Mesa Directiva Coordinadora de la Educación Superior en Texas (Texas Higher Education Coordinating Board -THECB) el 24 de enero de 2008.
Phase I. Learning Experiences
- Review with students the geometric figures. Students will create a Venn diagram to identify the differences between two and three dimensional figures. Students will categorize geometric figures into two and three dimensional figures.
- Introduce the idea of using shapes as characters in a dramatization. One possible suggestion is to read the book, The Greedy Triangle by Marilyn Burns. In this story, a triangle becomes dissatisfied with his current lot in life and visits his local shape shifter to turn into other types of shapes. For instance, he becomes a quadrilateral, a pentagon, and a hexagon. Eventually, he becomes greedy and keeps adding angles (and sides) until he becomes very distorted. In the end, he realizes that he was happiest being a triangle. The book contains references to the triangle shape’s appearance in many real-world contexts, such as in the orchestra as a musical instrument, in the negative space when people put their hands on their hips, and in bridges and the roofs of houses.
- Identify triangle shapes in objects within the classroom. Generate a list of other places students might see triangles. What other shapes do students see in the room? Ask students to create a catalog of the shapes they see. Students might want to select 2-3 shapes to draw for their catalog. Count the sides of the “collected” shapes, measure them (if possible), note the location of the shapes in the environment, and include this information in the catalog. The catalog will serve as a reference for student puppets and props later in this phase of the task.
- Go on a scavenger hunt for shapes outside of the classroom. Ask students to document in a journal where they see triangles and other shapes in their environments. Encourage them to count the sides and take measurements, if possible. If the shapes are not in places students can measure, ask students to estimate how long they think the sides are. Students might want to keep a running tally or poll of where they see particular shapes. What locations do students notice have the most instances of one type of shape? What are the most commonly observed shapes students see? What shape is the most rarely observed?
- Help students connect the shapes they see to the story. Ask students, “What might be some of the reasons that the author of The Greedy Triangle chose the real-world examples that she did? What are some other examples you might suggest that she include?” Brainstorm a list of suggestions.
- Introduce students to the concepts of role-playing and acting in character and how to demonstrate safe use of voice and movement. Break students into small groups and ask them to refer to their shape catalogs from earlier in this task. Which of the objects can they move easily? Which of the objects might serve as a background or setting? Ask each small group to create a brief puppet show that re-enacts a scene from The Greedy Triangle using the shapes they found in the room as characters and props.
Phase II. Independent Research
A. Research process
- Selecting a topic. Guide students as a group to reimagine and rewrite The Greedy Triangle as if it were their own play. You may wish to use the SCAMPER technique as you go through the story as a whole group, and ask students where they would:
- Substitute one of the characters in the story with something else,
- Combine two of the actions in the story into one,
- Adapt part of the story to reach a different ending,
- Modify the plot of the story so that a different shape stars in the lead role,
- Put the story to another use, for example as in the design of a board game for kindergarteners,
- Eliminate one of the major characters or actions in the story, or
- Reverse the plot of the story so that the action flows backwards (e.g., the triangle starts out as a hexagon and loses sides).
As a large group, spend some time playing with the text and altering it to create something new from it. Facilitate a large class discussion where students identify the key changes they will make to adapt the story for dramatic play.
- Asking guiding questions. Collaborate with the fine arts teacher/specialist and/or the English Language Arts and Reading teacher to help students navigate through the decisions they will need to make to construct their own narrative. For example, some possible questions might include:
- What shape will play the main character?
- Why might you choose this shape to be the lead?
- What will cause this main character to decide he wants to change?
- How will the shape change?
- Who will he encounter as he undergoes these changes?
- What will happen to him as a result of the changes?
Guide students in composing a short, original play based on the ideas the class generated through the SCAMPER technique. You may wish to break students into small groups and isolate certain parts of the story into short scenes. For example, maybe the storyline remains the same, but the key character is a Circle who is sad that he is so round.
- What happens to the Circle when he meets the shape-shifter but finds he does not have enough money to pay for his services?
- How does the Circle earn money?
- What happens to the Circle when, instead of meeting the shape-shifter (who helps him add angles or sides to his body), he instead runs into the dreaded shape-splitter (who divides him into many smaller selves)?
- How does he become whole again if he becomes split during his encounter with the shape-splitter?
- What other shapes does he meet along his journey?
- How do these shapes behave?
- What do they look like and sound like?
- Which of these shape-characters help him, and which stand in his way?
- Creating a research proposal. Capture the students’ decisions into an outline that covers the main plot points of the story. Check the document with the class for discussion and agreement. Help students incorporate as many mathematics concepts as they can into the storyline, such as skip-counting groups of shapes that the character meets, telling time at some point during the story, and partitioning one or more of the shapes into two or four parts (e.g., How might students demonstrate partitioning into four parts with their movements or gestures? One possibility is for four students to come together to create one large shape that is then split into smaller units through some action in the story.)
- Conducting the research. Collaborate with visual arts and theatre specialists to construct costumes for each character in the play. Students will need to identify each shape/character in the play, measure the dimensions for each costume, sketch original designs, and execute their plans to create safe and wearable costumes for the performance. Students should communicate the specific design requirements for each costume using measurement skills and mathematical vocabulary terms.
- Sharing findings. Each student should execute the design to create a wearable shape costume. Additionally, the student will develop the shape’s character, incorporating expressive uses of voice and gesture, and perform in the play with peers. If the class is large, you may wish to have groups of students act in a chorus of shapes, possibly summarizing the action for the audience, heightening the suspense through gestures and sound effects, or narrating certain scenes.
Each student develops his or her portrayal of the shape/character that they will depict in the play based on the agreed-upon action (scenes), any dialogue the class developed, and the student’s own creative interpretation. For example, if the play features a character such as a large blue square that impedes the main character’s progress—is the large blue square in the way because he is grumpy and difficult to get along with (frowning, crossing arms, and furrowing his brow) or is he simply sleepy and is in the way because he keeps nodding off and dreaming?
B. The product
Each student develops his own costume and portrayal of the character he/she will act out in the play. With guidance from the teacher, as well as in collaboration with fine arts specialists on campus, the class as a whole works collaboratively to stage their play in front of an audience such as other first grade classes.
C. Communication
Each class stages the production of an original play derived from their modifications to the storyline and characters of The Greedy Triangle by Marilyn Burns. The audience for the play may consist of other first grade classes, kindergarten classes, or parents. The teacher should guide students to capture video documentation, both of the play as well as “behind the scenes” clips and interviews with each actor/actress. Note: Other classes can be camera operators when they are not performing.
D. A completed project consists of
1. a copy of the script created by the whole group;
2. sketches for the costume;
3. the costume and any notes the student keeps related to how the character will act; and
4. video or audio of the play, including any “behind the scenes” or actor/actress “interview footage” that might include an audience Q&A session.
Fase I. Experiencias de aprendizaje
- Revise con los estudiantes las figuras geométricas. Los estudiantes harán un diagrama de Venn para identificar las diferencias entre las figuras de dos y de tres dimensiones. Los estudiantes van a clasificar las figuras geométricas en figuras de dos y de tres dimensiones.
- Introduzca la idea de usar figuras como personajes en una dramatización. Una opción sugerida es leer el libro: The Greedy Triangle (El triángulo codicioso) por Marilyn Burns. En esta historia, un triángulo ya no se siente satisfecho con la suerte que le tocó en la vida y visita al cambiador de figuras de la localidad para que lo cambie a otro tipo de figura. Por ejemplo, se convierte en un cuadrilátero, un pentágono y un hexágono. Con el tiempo, el triángulo se vuelve codicioso y sigue agregando ángulos (y lados) hasta que está muy distorsionado. Al final, se da cuenta de que era más feliz siendo un triángulo. El libro contiene referencias a la apariencia de la forma del triángulo en contextos del mundo real, como en un instrumento musical en una orquesta, o como en el espacio negativo que se forma cuando las personas colocan las manos sobre sus caderas, o en los puentes y los techos de las casas.
- Identifiquen figuras triangulares en el salón de clases. Generen una lista de otros lugares en donde los estudiantes podrían ver triángulos. ¿Qué otras figuras ven los estudiantes en el salón? Pida a los estudiantes que hagan un catálogo de las figuras que vean. Los estudiantes podrían seleccionar de 2 a 3 figuras para dibujar en su catálogo. Cuenten los lados de las figuras “recolectadas”, mídanlas (si es posible), anoten la ubicación de las figuras en el medio ambiente e incluyan esta información en el catálogo. El catálogo servirá como referencia para los títeres y los accesorios de los estudiantes más adelante en esta fase de la tarea.
- Hagan una búsqueda de tesoro para encontrar figuras fuera del salón de clases. Pida a los estudiantes que documenten en un diario los lugares en donde ven triángulos y otras figuras en su medio ambiente. Anímelos a contar los lados y a hacer mediciones, si es posible. Si las figuras no están en lugares en los que los estudiantes puedan hacer mediciones, pida a los estudiantes que estimen cuánto piensan que miden los lados. Los estudiantes pueden elegir llevar un conteo de los lugares en los que ven ciertas figuras. ¿Qué ubicaciones notan los estudiantes que tienen más casos de un tipo de figura? ¿Cuáles son las figuras más observadas por los estudiantes? ¿Cuál figura es la menos observada?
- Ayude a los estudiantes a relacionar con la historia las figuras que ven. Pregunte a los estudiantes: “¿Cuáles pueden ser algunas de las razones por las que la autora de The Greedy Triangle (El triángulo codicioso) eligió sus ejemplos del mundo real? ¿Qué otros ejemplos sugieren que puede incluir ella?” Hagan una lluvia de ideas con las sugerencias.
- Presente a los estudiantes los conceptos de juego de roles y actuación de personajes y cómo demostrar un uso seguro de la voz y del movimiento. Divida a los estudiantes en grupos pequeños y pídales que consulten sus catálogos de figuras que hicieron en esta tarea. ¿Cuáles de los objetos pueden mover fácilmente? ¿Cuáles de los objetos podrían servir como fondo o escenario? Pida a cada grupo pequeño que hagan una obra corta con títeres para recrear una escena de The Greedy Triangle (El triángulo codicioso) usando como personajes y accesorios las figuras que encontraron en el salón.
Fase II. Investigación independiente
A. Proceso de investigación
- Seleccionando un tema. Guíe a los estudiantes como grupo a que imaginen cómo reescribir The Greedy Triangle (El triángulo codicioso) como si fuera su propia obra. Usted puede elegir usar la técnica SCAMPER mientras progresan en la historia como grupo entero y pregunte a los estudiantes en dónde:
- Sustituirían uno de los personajes de la historia con alguna otra cosa,
- Combinarían dos de las acciones de la historia en una sola,
- Adaptarían parte de la historia para alcanzar un final distinto,
- Modificarían el argumento de la historia para que una figura diferente fuera la estrella en el papel principal,
- Plantearían la historia para que tenga un final diferente, por ejemplo, como para diseñar un tablero de juego para niños de kindergarten,
- Eliminarían uno de los personajes o acciones principales de la historia, o
- Revertirían el argumento de la historia para que la acción fluyera al revés (p. ej., el triángulo comienza como un hexágono y va perdiendo lados).
- Haciendo preguntas guía. Colaboren con el maestro/especialista de Bellas Artes y/o el maestro de Artes del lenguaje y Lectura en inglés para ayudar a los estudiantes a navegar a través de las decisiones que deberán tomar para elaborar sus propias narrativas. Por ejemplo, algunas preguntas posibles podrían incluir:
- ¿Qué figura será el personaje principal?
- ¿Por qué escogerían a esa figura para tener el papel principal?
- ¿Qué cosa causará que este personaje principal decida que quiere cambiar?
- ¿Cómo cambiará la figura?
- ¿A quiénes se encontrará mientras atraviesa por estos cambios?
- ¿Qué le pasará como resultado de los cambios?
- ¿Qué le pasa al círculo cuando se encuentra con el cambiador de figuras pero descubre que no tiene dinero suficiente para pagar sus servicios?
- ¿Cómo gana dinero el círculo?
- ¿Qué le pasa al círculo cuando, si en lugar de encontrarse con el cambiador de figuras (quien le ayuda a poner más ángulos o lados a su cuerpo), se encuentra con el temible divisor de formas (quien lo divide en muchos pedazos pequeños de sí mismo)?
- ¿Cómo se vuelve completo otra vez si el divisor de formas lo divide cuando se encuentran?
- ¿Qué otras figuras encuentra durante su recorrido?
- ¿Cómo actúan esas figuras?
- ¿Cómo se ven y cómo suenan?
- ¿Cuáles de esas figuras/personajes le ayudan y cuáles le son opuestas en su recorrido?
- Creando una propuesta de investigación. Registre las decisiones de los estudiantes en un esquema que abarque los principales puntos del argumento de la historia. Revisen juntos el documento para discutirlo y llegar a acuerdos. Ayude a los estudiantes a incorporar al argumento tantos conceptos matemáticos como puedan, como hacer un conteo salteado de las figuras que el personaje encuentra, decir la hora en cierto punto durante la historia y hacer particiones de una o más de las figuras en dos o cuatro partes (p. ej., ¿Cómo pueden los estudiantes mostrar con movimientos o gestos, particiones en cuatro partes? Una opción puede ser que se junten cuatro estudiantes para hacer una figura grande que luego es dividida en cuatro unidades más pequeñas durante cierta acción de la historia).
- Llevando a cabo la investigación. Colaboren con especialistas en artes visuales y teatro para elaborar vestuarios para cada personaje de la obra. Los estudiantes tendrán que identificar cada figura/personaje de la obra, medir las dimensiones para cada vestuario, dibujar diseños originales y ejecutar sus planes para elaborar vestuarios seguros que puedan usar en la representación. Los estudiantes deben comunicar los requerimientos de diseño específicos para cada vestuario usando destrezas de medición y términos del vocabulario de matemáticas.
- Compartiendo hallazgos. Cada estudiante debe ejecutar el diseño para elaborar el vestuario de la figura que pueda usarse. Además, el estudiante desarrollará el personaje de la figura, incorporando manejos de voz y gestos expresivos y actuar en la obra con los compañeros. Si la clase es muy numerosa, usted puede elegir que algunos grupos de estudiantes actúen en un coro de figuras, resumiendo posiblemente la acción para la audiencia, enfatizando el suspenso mediante gestos y efectos de sonido o narrando ciertas escenas.
Cada estudiante desarrolla su representación de la figura/personaje que será en la obra con base en la acción (escenas) acordada, los diálogos desarrollados por la clase y la propia interpretación creativa del estudiante. Por ejemplo, si la obra presenta un personaje como un gran cuadro azul que impide el progreso del personaje principal, ¿el gran cuadro azul se lo impide porque es enojón y de carácter difícil (cruzado de brazos y frunciendo el ceño) o simplemente es somnoliento y se lo impide porque se la pasa cabeceando y soñando?
B. El producto
Cada estudiante desarrolla su propio vestuario y representación del personaje que actúa en la obra. Con la guía del maestro, así como con la colaboración de especialistas en Bellas Artes de la escuela, la clase entera colabora para montar su obra frente a una audiencia como otras clases de primer grado.
C. Comunicación
Cada clase monta la producción de una obra original derivada a partir de sus modificaciones al argumento y a los personajes de The Greedy Triangle (El triángulo codicioso) por Marilyn Burns. La audiencia de la obra puede consistir de las otras clases de primer grado, clases de kindergarten o los padres de familia. El maestro debe guiar a los estudiantes para grabar una documentación en video de la obra así como de clips “detrás del escenario” y entrevistas a cada actor/actriz. Nota: Otras clases pueden operar la cámara cuando no es su turno de mostrar su representación.
D. Un proyecto completo consiste de:
- Una copia del libreto creado por todo el grupo
- Bosquejos del vestuario
- El vestuario y las notas del estudiante relacionadas con cómo actuará el personaje
- Video o audio de la obra, incluyendo las grabaciones “detrás del escenario” o las “grabaciones en entrevistas” del actor/actriz que pudieran incluir una sesión de preguntas y respuestas con la audiencia.
Elicit
Review with students the geometric figures that they know. Start by drawing a square on the board and asking students what it is. Ask what other shapes they know and draw the shapes on the board or ask students to draw on the board.
Engage
Have students build a triangle on a geoboard using rubber bands. After building on the geoboard, students draw their triangles onto geoboard dot paper.
Ask students to share the triangles they have made. They will notice that not all the triangles are identical.
- How are all these shapes alike?
- How are they different?
- Are they all triangles?
- How do we know they are triangles?
- What makes a triangle a triangle?
Develop a class definition of a triangle. This may include statements such as, “A triangle has three sides. A triangle has three angles.”
Explore
Introduce the idea of using shapes as characters in a dramatization. One possible suggestion is to read the book, The Greedy Triangle by Marilyn Burns. In this story, a triangle becomes dissatisfied with his current lot in life and visits his local shape-shifter to turn into other types of shapes. For instance, he becomes a quadrilateral, a pentagon, and a hexagon.
Ask students to use their rubber bands and geoboards to create each shape as the triangle adds angles. Students can draw the shape and write its name and number of angles. Students could also add a real-world example of where their shape is found.
When the story is over, ask students to discuss what shape from the story they would want to be and why.
Explain
Encourage students to use the shapes they drew while listening to the story. Compare shapes from the book.
- How are they different?
- How does this change where we see them?
- What would it be like if TV screens were shaped like triangles?
- What if wheels were square?
Document student responses with the class definition of a triangle.
Explore
Identify shapes from the story in objects within the classroom. Generate a list of other places students might see these shapes. Ask students to create a catalog of the shapes they see. Students might want to select 2-3 shapes to draw for their catalog. Count the sides of the “collected” shapes, measure them (if possible), note the location of the shapes in the environment, and include this information in the catalog.
Go on a scavenger hunt for shapes outside of the classroom. Ask students to document in a journal where they see triangles and other shapes in their environments. Encourage them to count the sides and take measurements, if possible. If the shapes are not in places students can measure, ask students to estimate how long they think the sides are. Students might want to keep a running tally or poll of where they see particular shapes. What locations do students notice have the most instances of one type of shape? What are the most commonly observed shapes students see? What shape is the most rarely observed?
Explain
Help students connect the shapes they see to the story. Ask students, “What might be some of the reasons that the author of The Greedy Triangle chose the real-world examples she chose? What are some other examples you might suggest that she include?” Brainstorm a list of suggestions.
Introduce students to the concepts of role-playing and acting in character and how to demonstrate safe use of voice and movement. Break students into small groups and ask them to refer to their shape catalogs from earlier in this task. Which of the objects can they move easily?
Which of the objects might serve as a background or setting? Ask each small group to create a brief puppet show that re-enacts a scene from The Greedy Triangle using the shapes they found in the room as characters and props.
Elaborate (Phase II)
A. Research process
- Selecting a topic. Guide students as a group to reimagine and rewrite The Greedy Triangle as if it were their own play. You may wish to use the SCAMPER technique as you go through the story as a whole group, and ask students where they would:
- Substitute one of the characters in the story with something else,
- Combine two of the actions in the story into one,
- Adapt part of the story to reach a different ending,
- Modify the plot of the story so that a different shape stars in the lead role,
- Put the story to another use, for example as in the design of a board game for kindergarteners,
- Eliminate one of the major characters or actions in the story, or
- Reverse the plot of the story so that the action flows backwards (e.g., the triangle starts out as a hexagon and loses sides).
- Asking guiding questions. Collaborate with the fine arts teacher/specialist and/or the English Language Arts and Reading teacher to help students navigate through the decisions they will need to make to construct their own narrative. For example, some possible questions might include:
- What shape will play the main character?
- Why might you choose this shape to be the lead?
- What will cause this main character to decide he wants to change?
- How will the shape change?
- Who will he encounter as he undergoes these changes?
- What will happen to him as a result of the changes?
- What happens to the Circle when he meets the shape-shifter but finds he does not have enough money to pay for his services?
- How does the Circle earn money?
- What happens to the Circle when, instead of meeting the shape-shifter (who helps him add angles or sides to his body), he instead runs into the dreaded shape-splitter (who divides him into many smaller selves)?
- How does he become whole again if he becomes split during his encounter with the shape-splitter?
- What other shapes does he meet along his journey?
- How do these shapes behave?
- What do they look like and sound like?
- Which of these shape-characters help him, and which stand in his way?
- Creating a research proposal. Capture the students’ decisions into an outline that covers the main plot points of the story. Check the document with the class for discussion and agreement. Help students incorporate as many mathematics concepts as they can into the storyline, such as skip-counting groups of shapes that the character meets, telling time at some point during the story, and partitioning one or more of the shapes into two or four parts (e.g., How might students demonstrate partitioning into four parts with their movements or gestures? One possibility is for four students to come together to create one large shape that is then split into smaller units through some action in the story.)
- Conducting the research. Collaborate with visual arts and theatre specialists to construct costumes for each character in the play. Students will need to identify each shape/character in the play, measure the dimensions for each costume, sketch original designs, and execute their plans to create safe and wearable costumes for the performance. Students should communicate the specific design requirements for each costume using measurement skills and mathematical vocabulary terms.
- Sharing findings. Each student should execute the design to create a wearable shape costume. Additionally, the student will develop the shape’s character, incorporating expressive uses of voice and gesture, and perform in the play with peers. If the class is large, you may wish to have groups of students act in a chorus of shapes, possibly summarizing the action for the audience, heightening the suspense through gestures and sound effects, or narrating certain scenes.
As a large group, spend some time playing with the text and altering it to create something new from it. Facilitate a large class discussion where students identify the key changes they will make to adapt the story for dramatic play.
Guide students in composing a short, original play based on the ideas the class generated through the SCAMPER technique. You may wish to break students into small groups and isolate certain parts of the story into short scenes. For example, maybe the storyline remains the same, but the key character is a Circle who is sad that he is so round.
While these examples are general, the student’s questions about the area of study should be specific to the chosen topic. The questions should lead him or her to form individual research-based opinions. The student should also develop a hypothesis or some possible answers to the questions.
Each student develops his or her portrayal of the shape/character that they will depict in the play based on the agreed-upon action (scenes), any dialogue the class developed, and the student’s own creative interpretation. For example, if the play features a character such as a large blue square that impedes the main character’s progress—is the large blue square in the way because he is grumpy and difficult to get along with (frowning, crossing arms, and furrowing his brow) or is he simply sleepy and is in the way because he keeps nodding off and dreaming?
Explain
The class acts out their new version of the story for an audience.
The product
Each student develops his or her own costume and portrayal of the character he or she will act out in the play. With guidance from you, as well as in collaboration with fine arts specialists on campus, the class as a whole works collaboratively to stage their play in front of an audience such as other first grade classes.
Communication
Each class stages the production of an original play derived from their modifications to the storyline and characters of The Greedy Triangle by Marilyn Burns. The audience for the play may consist of other first grade classes, kindergarten classes, or parents. Guide students to capture video documentation, both of the play as well as “behind the scenes” clips and interviews with each actor/actress. Note: Other classes can be camera operators when they are not performing.
Evaluate
Use the TPSP Primary Rubric to assess each student’s learning. Additionally, you may wish to develop self- or peer-assessments based on the rubric that students could use to evaluate their products. Use of peer-assessments should be prefaced by discussion about respecting others’ opinions and work.
A completed project consists of
- a copy of the script created by the whole group;
- sketches for the costume;
- the costume and any notes the student keeps related to how the character will act; and
- video or audio of the play, including any “behind the scenes” or actor/actress “interview footage” that might include an audience Q&A session.
In what ways did the student
- develop sophisticated, open-ended questions about the self-selected topic;
- use a variety of sources that access advanced content and include multiple perspectives;
- collect data using the tools of the discipline;
- analyze and interpret the data;
- capture and apply their analysis through an original product; and
- communicate his or her research findings, learning, and ideas to an audience using the language of the discipline?
Extend
Taking Shape asks students to apply English language arts and reading skills to mathematics knowledge through a theatre performance. Possible interdisciplinary extensions for this task are listed below.
English Language Arts
Ask students to write a review of their play. Give students real-life examples of theatrical reviews from newspapers and the Internet. Students should highlight the writers and actors and give a brief explanation of the plot. Students can include quotes from the audience about their reactions to the play and still photos from the performance.
Science
Many geometric figures can be found in nature. Ask students to research an instance of their chosen shape in a living thing. Students share their findings through a photo collage or digital slide show. Expand on the connection between math and nature by introducing students to Fibonacci numbers. See if students can connect this concept to the examples they found for their shape.
Social Studies
Plato described the five Platonic solids in his Timaeus ca. 350 BC. In this work, Plato equated the tetrahedron with the "element" fire, the cube with earth, the icosahedron with water, the octahedron with air, and the dodecahedron with the stuff of which the constellations and heavens were made. This was a known concept to the Greeks. Furthermore, the Neolithic people of Scotland developed the five solids a thousand years earlier. The stone models of these Scottish solids are kept in the Ashmolean Museum in Oxford. Ask students to create models of the five solids using paper or clay. Follow up with questions.
- Can you find any of our shapes in the five solids?
- Why do you think Plato related each shape with its element (fire, water, earth, air, or ether)?
Resources
The Greedy Triangle by Marilyn Burns
Shapes, Shapes, Shapes by Tana Hoban
Additional Resources
Students are encouraged to work with their teachers and parents/guardians to conduct the research necessary to support and enhance each task, following local district guidelines. Online resources like The Smithsonian Museum, The Library of Congress, The Texas State Archives, Texas State Historical Association, and National Geographic’s Kids offer information on a variety of topics and could serve as a good starting place.
Extraer
Revise con los estudiantes las figuras geométricas que conocen. Comience dibujando un cuadrado en el pizarrón y pregunte qué es a los estudiantes. Pregunte qué otras figuras conocen y dibuje las figuras en el pizarrón o pida a los estudiantes que las dibujen en el pizarrón.
Envolver
Pida a los estudiantes que construyan un triángulo en un geoplano usando ligas. Después de construir en el geoplano, los estudiantes dibujan sus triángulos en un geoplano de papel con puntos.
Pida a los estudiantes que compartan los triángulos que hicieron. Notarán que no todos los triángulos son idénticos.
- ¿En qué se parecen estas figuras?
- ¿En qué se diferencian?
- ¿Todas son triángulos?
- ¿Cómo sabemos que son triángulos?
- ¿Qué hace que una figura sea un triángulo?
Desarrollen la definición de la clase sobre qué es un triángulo. La definición puede incluir enunciados como: “Un triángulo tiene tres lados. Un triángulo tiene tres ángulos”.
Explorar
Introduzca la idea de usar figuras como personajes en una dramatización. Una opción sugerida es leer el libro: The Greedy Triangle (El triángulo codicioso) por Marilyn Burns. En esta historia, un triángulo ya no se siente satisfecho con la suerte que le tocó en la vida y visita al cambiador de figuras de la localidad para que lo cambie a otro tipo de figura. Por ejemplo, se convierte en un cuadrilátero, un pentágono y un hexágono.
Pida a los estudiantes que usen su ligas y geoplanos para crear cada figura a medida que el triángulo agrega ángulos. Los estudiantes pueden dibujar la figura y escribir su nombre y su número de ángulos. Los estudiantes también podrían agregar un ejemplo de la vida real donde se encuentra su figura.
Al terminar la historia, pida a los estudiantes que discutan qué figura de la historia les gustaría ser y por qué.
Explicar
Anime a los estudiantes a usar las figuras que dibujaron mientras escuchan la historia. Comparen las figuras del libro.
- ¿Cómo son diferentes?
- ¿Cómo cambia esto los lugares en donde las detectamos?
- ¿Cómo sería si las pantallas de televisión tuvieran forma triangular?
- ¿Qué pasaría si las llantas fueran cuadradas?
Documente las respuestas de los estudiantes con la definición de triángulo que formuló la clase.
Explorar
Identifiquen en el salón las figuras de la historia. Generen una lista de otros lugares en donde los estudiantes podrían ver esas figuras. Pida a los estudiantes que hagan un catálogo de las figuras que vean. Los estudiantes podrían seleccionar de 2 a 3 figuras para dibujar en su catálogo. Cuenten los lados de las figuras “recolectadas”, mídanlas (si es posible), anoten la ubicación de las figuras en el medio ambiente e incluyan esta información en el catálogo.
Hagan una búsqueda de tesoro para encontrar figuras fuera del salón de clases. Pida a los estudiantes que documenten en un diario los lugares en donde ven triángulos y otras figuras en su medio ambiente. Anímelos a contar los lados y a hacer mediciones, si es posible. Si las figuras no están en lugares en los que los estudiantes puedan hacer mediciones, pida a los estudiantes que estimen cuánto piensan que miden los lados. Los estudiantes pueden elegir llevar un conteo de los lugares en los que ven ciertas figuras. ¿Qué ubicaciones notan los estudiantes que tienen más casos de un tipo de figura? ¿Cuáles son las figuras más observadas por los estudiantes? ¿Cuál figura es la menos observada?
Explicar
Ayude a los estudiantes a relacionar con la historia las figuras que ven. Pregunte a los estudiantes: “¿Cuáles pueden ser algunas de las razones por las que la autora de The Greedy Triangle (El triángulo codicioso) eligió sus ejemplos del mundo real? ¿Qué otros ejemplos sugieren que puede incluir ella?” Hagan una lluvia de ideas con las sugerencias.
Presente a los estudiantes los conceptos de juego de roles y actuación de personajes y cómo demostrar un uso seguro de la voz y del movimiento. Divida a los estudiantes en grupos pequeños y pídales que consulten sus catálogos de figuras que hicieron en esta tarea. ¿Cuáles de los objetos pueden mover fácilmente? ¿Cuáles de los objetos podrían servir como fondo o escenario? Pida a cada grupo pequeño que hagan una obra corta con títeres para recrear una escena de The Greedy Triangle (El triángulo codicioso) usando como personajes y accesorios las figuras que encontraron en el salón.
Elaborar (Fase II)
Proceso de investigación
- Seleccionando un tema. Guíe a los estudiantes como grupo a que imaginen cómo reescribir The Greedy Triangle (El triángulo codicioso) como si fuera su propia obra. Usted puede elegir usar la técnica SCAMPER mientras progresan en la historia como grupo entero y pregunte a los estudiantes en dónde:
- Sustituirían uno de los personajes de la historia con alguna otra cosa,
- Combinarían dos de las acciones de la historia en una sola,
- Adaptarían parte de la historia para alcanzar un final distinto,
- Modificarían el argumento de la historia para que una figura diferente fuera la estrella en el papel principal,
- Plantearían la historia para que tenga un final diferente, por ejemplo, como para diseñar un tablero de juego para niños de kindergarten,
- Eliminarían uno de los personajes o acciones principales de la historia, o
- Revertirían el argumento de la historia para que la acción fluyera al revés (p. ej., el triángulo comienza como un hexágono y va perdiendo lados).
Con todo el grupo, dediquen un tiempo jugando con el texto y alterándolo para crear algo diferente. Facilite una discusión con la clase en la que los estudiantes identifiquen los cambios clave que harán para adaptar la historia para una obra dramática.
- Haciendo preguntas guía. Colaboren con el maestro/especialista de Bellas Artes y/o el maestro de Artes del lenguaje y Lectura en inglés para ayudar a los estudiantes a navegar a través de las decisiones que deberán tomar para elaborar sus propias narrativas. Por ejemplo, algunas preguntas posibles podrían incluir:
- ¿Qué figura será el personaje principal?
- ¿Por qué escogerían a esa figura para tener el papel principal?
- ¿Qué cosa causará que este personaje principal decida que quiere cambiar?
- ¿Cómo cambiará la figura?
- ¿A quiénes se encontrará mientras atraviesa por estos cambios?
- ¿Qué le pasará como resultado de los cambios? Guíe a los estudiantes en la composición de una obra original corta basada en las ideas que generó la clase usando la técnica SCAMPER. Usted puede elegir dividir a los estudiantes en grupos pequeños y aislar ciertas partes de la historia en escenas cortas. Por ejemplo, posiblemente el argumento siga igual, pero el personaje clave sea un círculo que está triste por ser tan redondo.
- ¿Qué le pasa al círculo cuando se encuentra con el cambiador de figuras, pero descubre que no tiene dinero suficiente para pagar sus servicios?
- ¿Cómo gana dinero el círculo?
- ¿Qué le pasa al círculo cuando, si en lugar de encontrarse con el cambiador de figuras (quien le ayuda a poner más ángulos o lados a su cuerpo), se encuentra con el temible divisor de formas (quien lo divide en muchos pedazos pequeños de sí mismo)?
- ¿Cómo se vuelve completo otra vez si el divisor de formas lo divide cuando se encuentran?
- ¿Qué otras figuras encuentra durante su recorrido?
- ¿Cómo actúan esas figuras?
- ¿Cómo se ven y cómo suenan?
- ¿Cuáles de esas figuras/personajes le ayudan y cuáles le son opuestas en su recorrido?
Aunque estos ejemplos son generales, las preguntas del estudiante acerca del área de estudio deben ser específicas en relación con el tema escogido. Las preguntas deben guiarlo/la a formarse una opinión individual basada en la investigación. El estudiante también debe desarrollar una hipótesis o algunas posibles respuestas a las preguntas.
- Creando una propuesta de investigación. Registre las decisiones de los estudiantes en un esquema que abarque los principales puntos del argumento de la historia. Revisen juntos el documento para discutirlo y llegar a acuerdos. Ayude a los estudiantes a incorporar al argumento tantos conceptos matemáticos como puedan, como hacer un conteo salteado de las figuras que el personaje encuentra, decir la hora en cierto punto durante la historia y hacer particiones de una o más de las figuras en dos o cuatro partes (p. ej., ¿Cómo pueden los estudiantes mostrar con movimientos o gestos, particiones en cuatro partes? Una opción puede ser que se junten cuatro estudiantes para hacer una figura grande que luego es dividida en cuatro unidades más pequeñas durante cierta acción de la historia).
- Llevando a cabo la investigación. Colaboren con especialistas en artes visuales y teatro para elaborar vestuarios para cada personaje de la obra. Los estudiantes tendrán que identificar cada figura o personaje de la obra, medir las dimensiones para cada vestuario, dibujar diseños originales y ejecutar sus planes para elaborar vestuarios seguros que puedan usar en la representación. Los estudiantes deben comunicar los requerimientos de diseño específicos para cada vestuario usando destrezas de medición y términos del vocabulario de matemáticas.
- Compartiendo hallazgos. Cada estudiante debe ejecutar el diseño para elaborar el vestuario de la figura que pueda usarse. Además, el estudiante desarrollará el personaje de la figura, incorporando manejos de voz y gestos expresivos y actuar en la obra con los compañeros. Si la clase es muy numerosa, usted puede elegir que algunos grupos de estudiantes actúen en un coro de figuras, resumiendo posiblemente la acción para la audiencia, enfatizando el suspenso mediante gestos y efectos de sonido o narrando ciertas escenas.
Explicar
La clase actúa su nueva versión de la historia ante una audiencia.
El producto
Cada estudiante desarrolla su propio vestuario y representación del personaje que actúa en la obra. Con su guía, así como con la colaboración de especialistas en Bellas Artes de la escuela, la clase entera colabora para montar su obra frente a una audiencia como otras clases de primer grado.
Comunicación
Cada clase monta la producción de una obra original derivada a partir de sus modificaciones al argumento y a los personajes de The Greedy Triangle (El triángulo codicioso) por Marilyn Burns. La audiencia de la obra puede consistir de las otras clases de primer grado, clases de kindergarten o los padres de familia. Guíe a los estudiantes para grabar una documentación en video de la obra así como de clips “detrás del escenario” y entrevistas a cada actor/actriz. Nota: Otras clases pueden operar la cámara cuando no es su turno de mostrar su representación.
Evaluar
Use la rúbrica de primaria TPSP para evaluar el conocimiento de cada estudiante. Además, puede decidir entre desarrollar autoevaluaciones o evaluaciones hechas por los compañeros, con base en la rúbrica que los estudiantes podrían usar para evaluar sus productos. El uso de evaluaciones de los compañeros debe ser precedido por una discusión acerca del respeto de las opiniones y del trabajo de los demás.
Un proyecto completo consiste de:
- Una copia del libreto creado por todo el grupo
- Bosquejos del vestuario
- El vestuario y las notas del estudiante relacionadas con cómo actuará el personaje
- Video o audio de la obra, incluyendo las grabaciones “detrás del escenario” o las “grabaciones en entrevistas” del actor/actriz que pudieran incluir una sesión de preguntas y respuestas con la audiencia.
De qué maneras el estudiante:
- desarrolló preguntas sofisticadas y abiertas acerca del tema auto seleccionado;
- usó una variedad de fuentes que le dan acceso a un contenido superior e incluye múltiples perspectivas;
- reunió datos usando los instrumentos de la disciplina;
- analizó e interpretó los datos;
- capturó y aplicó su análisis mediante un producto original; y
- comunicó sus hallazgos, aprendizaje e ideas a una audiencia usando el lenguaje de la disciplina.
Extender
La unidad Tomando forma requiere que los estudiantes apliquen destrezas de Artes del lenguaje y Lectura en inglés al conocimiento de matemáticas mediante una representación teatral. Unas extensiones interdisciplinarias posibles para esta tarea se muestran a continuación.
Artes del lenguaje en inglés:
Pida a los estudiantes que escriban un comentario sobre su obra. Dé a los estudiantes ejemplos de la vida real sobre comentarios a obras de teatro hechos en periódicos o en la Internet. Los estudiantes deben resaltar a los autores y actores y dar una breve explicación del argumento. Los estudiantes pueden incluir comentarios textuales de la audiencia acerca de sus reacciones a la obra y fotografías de la representación.
Ciencias
En la naturaleza se pueden encontrar muchas figuras geométricas. Pida a los estudiantes que investiguen un ejemplo de su figura seleccionada en un ser vivo. Los estudiantes comparten sus hallazgos a través de un collage de fotografías o una presentación digital de imágenes.
Expanda la relación entre las matemáticas y la naturaleza introduciendo a los estudiantes los números Fibonacci. Vea si los estudiantes pueden relacionar este concepto con los ejemplos que encontraron de su figura.
Estudios Sociales
Platón describió los cinco sólidos platónicos en su diálogo Timeo circa 350 a. C. En esta obra, Platón equiparó el tetraedro con el "elemento" fuego, el cubo con la tierra, el icosaedro con el agua, el octaedro con el aire y el dodecaedro con la materia de que estaban hechas las constelaciones y los cielos. Esto era un concepto conocido para los griegos. Además, las personas del neolítico de Escocia habían desarrollado los cinco sólidos miles de años antes. Los modelos de piedra de estos sólidos escoceses se conservan en el Museo Ashmolean en Oxford. Pida a los estudiantes que hagan modelos de los cinco sólidos usando papel o plastilina.
Continúe con preguntas.
- ¿Pueden encontrar cualquiera de nuestras figuras en los cinco sólidos?
- ¿Por qué piensan que Platón relacionó cada figura con su elemento (fuego, agua, tierra, aire o éter)?
Recursos
The Greedy Triangle (El triángulo codicioso) por Marilyn Burns
http://www.youtube.com/watch?v=kPuI4XyyZUE
Shapes, Shapes, Shapes (Figuras, figuras, figuras) por Tana Hoban
Recurso de Internet para la herramienta SCAMPER:
http://www.mindtools.com/pages/article/newCT_02.htm
http://www.mathsolutions.com/documents/Greedy_Triangle_Play.pd (Reader Theater version)
Recursos para extender la unidad
Fibonacci Numbers and the Golden Ratio – funza Academy
https://www.youtube.com/watch?v=CPTmRSYZupA
Fabulous Fibonacci – Mensa for Kids
http://www.mensaforkids.org/teach/lesson-plans/fabulous-fibonacci/
Plato and Five Regular Solids
https://www.teachervision.com/geometry/printable/50478.html
Modelos para imprimir en papel de los Sólidos platónicos
http://www.minieco.co.uk/i-mathematics-platonic-solids-garland/
Exploratorium’s Geometry Playground
https://www.exploratorium.edu/geometryplayground/resources.php
This unit may address the following TEKS.
110.3., English Language Arts and Reading, Grade 1, Adopted 2017
- 110.3(b)(6)
- Comprehension skills: listening, speaking, reading, writing, and thinking using multiple texts. The student uses metacognitive skills to both develop and deepen comprehension of increasingly complex texts.
- 110.3(b)(1)(E)
- develop social communication such as introducing himself/herself and others, relating experiences to a classmate, and expressing needs and feelings.
- 110.3(b)(6)(H)
- synthesize information to create new understanding with adult assistance
- 110.3(b)(7)(C)
- use text evidence to support an appropriate response;
- 110.3(b)(7)(E)
- interact with sources in meaningful ways such as illustrating or writing
- 110.3(b)(7)(F)
- respond using newly acquired vocabulary as appropriate.
- 110.3(b)(8)(D)
- describe the setting.
- 110.3(b)(9)(A)
- demonstrate knowledge of distinguishing characteristics of well-known children's literature such as folktales, fables, fairy tales, and nursery rhymes;
- 110.3(b)(9)(D)
- recognize characteristics and structures of informational text, including:
- 110.3(b)(9)(F)
- recognize characteristics of multimodal and digital texts.
- 110.3(b)(10)(B)
- discuss how the use of text structure contributes to the author's purpose;
- 110.3(b)(10)(C)
- discuss with adult assistance the author's use of print and graphic features to achieve specific purposes;
- 110.3(b)(10)(E)
- listen to and experience first- and third-person texts.
- 110.3(b)(11)(B)(ii)
- developing an idea with specific and relevant details;
- 110.3(b)(13)(B)
- develop and follow a research plan with adult assistance;
- 110.3(b)(4)
- Developing and sustaining foundational language skills: listening, speaking, reading, writing, and thinking--fluency. The student reads grade-level text with fluency and comprehension. The student is expected to use appropriate fluency (rate, accuracy, and prosody) when reading grade-level text.
- 110.3(b)(3)
- Developing and sustaining foundational language skills: listening, speaking, reading, writing, and thinking--vocabulary. The student uses newly acquired vocabulary expressively.
- 110.3(b)(8)
- Multiple genres: listening, speaking, reading, writing, and thinking using multiple texts--literary elements. The student recognizes and analyzes literary elements within and across increasingly complex traditional, contemporary, classical, and diverse literary texts.
- 110.3(b)(11)
- Composition: listening, speaking, reading, writing, and thinking using multiple texts--writing process. The student uses the writing process recursively to compose multiple texts that are legible and uses appropriate conventions.
- 110.3(b)(12)
- Composition: listening, speaking, reading, writing, and thinking using multiple texts--genres. The student uses genre characteristics and craft to compose multiple texts that are meaningful.
- 110.3(b)(13)
- Inquiry and research: listening, speaking, reading, writing, and thinking using multiple texts. The student engages in both short-term and sustained recursive inquiry processes for a variety of purposes.
- 110.3(b)(1)
- Developing and sustaining foundational language skills: listening, speaking, discussion, and thinking--oral language. The student develops oral language through listening, speaking, and discussion.
111.3, Mathematics, Grade 1
- 111.3(b)(1)
- Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding.
- 111.3(b)(2)
- Number and operations. The student applies mathematical process standards to represent and compare whole numbers, the relative position and magnitude of whole numbers, and relationships within the numeration system related to place value.
- 111.3(b)(3)
- Number and operations. The student applies mathematical process standards to develop and use strategies for whole number addition and subtraction computations in order to solve problems.
- 111.3(b)(4)
- Number and operations. The student applies mathematical process standards to identify coins, their values, and the relationships among them in order to recognize the need for monetary transactions.
- 111.3(b)(5)
- Algebraic reasoning. The student applies mathematical process standards to identify and apply number patterns within properties of numbers and operations in order to describe relationships.
- 111.3(b)(6)
- Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties.
- 111.3(b)(7)
- Geometry and measurement. The student applies mathematical process standards to select and use units to describe length and time.
- 111.3(b)(9)
- Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security.
113.12, Social Studies, Grade 1
- 113.12(b)(3)
- History. The student understands the concepts of time and chronology.
- 113.12(b)(6)
- Geography. The student understands various physical and human characteristics.
- 113.12(b)(16)
- Science, technology, and society. The student understands how technology affects daily life, past and present.
- 113.12(b)(17)
- Social studies skills. The student applies critical-thinking skills to organize and use information acquired from a variety of valid sources, including electronic technology.
- 113.12(b)(18)
- Social studies skills. The student communicates in oral, visual, and written forms.
- 113.12(b)(19)
- Social studies skills. The student uses problem-solving and decision-making skills, working independently and with others, in a variety of settings.
117.107, Theatre, Grade 1
- 117.107(b)(1)
- Foundations: inquiry and understanding. The student develops concepts about self, human relationships, and the environment using elements of drama and conventions of theatre.
- 117.107(b)(2)
- Creative expression: performance. The student interprets characters using the voice and body expressively and creates dramatizations.
- 117.107(b)(3)
- Creative expression: production. The student applies design, directing, and theatre production concepts and skills.
- 117.107(b)(5)
- Critical evaluation and response. The student responds to and evaluates theatre and theatrical performances.
128.3., Spanish Language Arts and Reading, Grade 1, Adopted 2017
- 128.3(b)(6)(H)
- synthesize information to create new understanding with adult assistance
- 128.3(b)(6)(C)
- make, correct, or confirm predictions using text features, characteristics of genre, and structures with adult assistance;
- 128.3(b)(1)(E)
- develop social communication such as introducing himself/herself and others, relating experiences to a classmate, and expressing needs and feelings.
- 128.3(b)(7)(E)
- interact with sources in meaningful ways such as illustrating or writing
- 128.3(b)(7)(F)
- respond using newly acquired vocabulary as appropriate.
- 128.3(b)(7)(C)
- use text evidence to support an appropriate response;
- 128.3(b)(8)(D)
- describe the setting.
- 128.3(b)(9)(F)
- recognize characteristics of multimodal and digital texts.
- 128.3(b)(9)(D)
- recognize characteristics and structures of informational text, including:
- 128.3(b)(9)(A)
- demonstrate knowledge of distinguishing characteristics of well-known children's literature such as folktales, fables, fairy tales, and nursery rhymes;
- 128.3(b)(10)(E)
- listen to and experience first- and third-person texts.
- 128.3(b)(10)(B)
- discuss how the use of text structure contributes to the author's purpose;
- 128.3(b)(10)(C)
- discuss with adult assistance the author's use of print and graphic features to achieve specific purposes;
- 128.3(b)(11)(B)(ii)
- developing an idea with specific and relevant details;
- 128.3(b)(13)(B)
- develop and follow a research plan with adult assistance;
- 128.3(b)(4)
- Developing and sustaining foundational language skills: listening, speaking, reading, writing, and thinking--fluency. The student reads grade-level text with fluency and comprehension. The student is expected to use appropriate fluency (rate, accuracy, and prosody) when reading grade-level text.
- 128.3(b)(3)
- Developing and sustaining foundational language skills: listening, speaking, reading, writing, and thinking--vocabulary. The student uses newly acquired vocabulary expressively.
- 128.3(b)(8)
- Multiple genres: listening, speaking, reading, writing, and thinking using multiple texts--literary elements. The student recognizes and analyzes literary elements within and across increasingly complex traditional, contemporary, classical, and diverse literary texts.
- 128.3(b)(11)
- Composition: listening, speaking, reading, writing, and thinking using multiple texts--writing process. The student uses the writing process recursively to compose multiple texts that are legible and uses appropriate conventions.
- 128.3(b)(12)(A)
- dictate or compose literary texts, including personal narratives and poetry;
- 128.3(b)(12)(B)
- dictate or compose informational texts, including procedural texts
- 128.3(b)(11)(D)
- edit drafts using standard Spanish conventions, including:
- 128.3(b)(11)(D)(vii)
- pronouns, including the use of personal and possessive pronouns, and the difference in the use of formal pronoun usted and informal pronoun tú;
- 128.3(b)(11)(D)(vi)
- prepositions;
- 128.3(b)(11)(D)(v)
- adverbs that convey time;
- 128.3(b)(11)(D)(ii)
- past and present verb tense, including the difference between ser and estar;
- 128.3(b)(11)(D)(iii)
- singular, plural, common, and proper nouns, including gender-specific articles;
- 128.3(b)(11)(D)(iv)
- adjectives, including articles;
- 128.3(b)(13)(E)
- use an appropriate mode of delivery, whether written, oral, or multimodal, to present results.
- 128.3(b)(13)(C)
- identify and gather relevant sources and information to answer the questions with adult assistance;
- 128.3(b)(1)(D)
- work collaboratively with others by following agreed-upon rules for discussion, including listening to others, speaking when recognized, and making appropriate contributions
- 128.3(b)(1)(B)
- follow, restate, and give oral instructions that involve a short, related sequence of actions;
- 128.3(b)(1)(A)
- listen actively, ask relevant questions to clarify information, and answer questions using multi-word responses;
- 128.3(b)(1)(C)
- share information and ideas about the topic under discussion, speaking clearly at an appropriate pace and using the conventions of language;
Esta unidad puede abordar los siguientes TEKS.
110.3., English Language Arts and Reading, Grade 1, Adopted 2017
- 110.3(b)(6)
- Comprehension skills: listening, speaking, reading, writing, and thinking using multiple texts. The student uses metacognitive skills to both develop and deepen comprehension of increasingly complex texts.
- 110.3(b)(1)(E)
- develop social communication such as introducing himself/herself and others, relating experiences to a classmate, and expressing needs and feelings.
- 110.3(b)(6)(H)
- synthesize information to create new understanding with adult assistance
- 110.3(b)(7)(C)
- use text evidence to support an appropriate response;
- 110.3(b)(7)(E)
- interact with sources in meaningful ways such as illustrating or writing
- 110.3(b)(7)(F)
- respond using newly acquired vocabulary as appropriate.
- 110.3(b)(8)(D)
- describe the setting.
- 110.3(b)(9)(A)
- demonstrate knowledge of distinguishing characteristics of well-known children's literature such as folktales, fables, fairy tales, and nursery rhymes;
- 110.3(b)(9)(D)
- recognize characteristics and structures of informational text, including:
- 110.3(b)(9)(F)
- recognize characteristics of multimodal and digital texts.
- 110.3(b)(10)(B)
- discuss how the use of text structure contributes to the author's purpose;
- 110.3(b)(10)(C)
- discuss with adult assistance the author's use of print and graphic features to achieve specific purposes;
- 110.3(b)(10)(E)
- listen to and experience first- and third-person texts.
- 110.3(b)(11)(B)(ii)
- developing an idea with specific and relevant details;
- 110.3(b)(13)(B)
- develop and follow a research plan with adult assistance;
- 110.3(b)(4)
- Developing and sustaining foundational language skills: listening, speaking, reading, writing, and thinking--fluency. The student reads grade-level text with fluency and comprehension. The student is expected to use appropriate fluency (rate, accuracy, and prosody) when reading grade-level text.
- 110.3(b)(3)
- Developing and sustaining foundational language skills: listening, speaking, reading, writing, and thinking--vocabulary. The student uses newly acquired vocabulary expressively.
- 110.3(b)(8)
- Multiple genres: listening, speaking, reading, writing, and thinking using multiple texts--literary elements. The student recognizes and analyzes literary elements within and across increasingly complex traditional, contemporary, classical, and diverse literary texts.
- 110.3(b)(11)
- Composition: listening, speaking, reading, writing, and thinking using multiple texts--writing process. The student uses the writing process recursively to compose multiple texts that are legible and uses appropriate conventions.
- 110.3(b)(12)
- Composition: listening, speaking, reading, writing, and thinking using multiple texts--genres. The student uses genre characteristics and craft to compose multiple texts that are meaningful.
- 110.3(b)(13)
- Inquiry and research: listening, speaking, reading, writing, and thinking using multiple texts. The student engages in both short-term and sustained recursive inquiry processes for a variety of purposes.
- 110.3(b)(1)
- Developing and sustaining foundational language skills: listening, speaking, discussion, and thinking--oral language. The student develops oral language through listening, speaking, and discussion.
111.3, Mathematics, Grade 1
- 111.3(b)(1)
- Estándares de procesos matemáticos. El estudiante utiliza procesos matemáticos para adquirir y demostrar comprensión matemática.
- 111.3(b)(2)
- Números y operaciones. El estudiante aplica los estándares de procesos matemáticos para representar y comparar números enteros, la posición relativa y la magnitud de los números enteros y las relaciones dentro del sistema de numeración en cuanto al valor de posición.
- 111.3(b)(3)
- Números y operaciones. El estudiante aplica los estándares de procesos matemáticos para desarrollar y utilizar estrategias al hacer operaciones de suma y resta con números enteros que le permitan resolver problemas.
- 111.3(b)(4)
- Números y operaciones. El estudiante aplica los estándares de procesos matemáticos para identificar monedas, sus valores y las relaciones entre ellas que le permitan reconocer la necesidad de transacciones monetarias.
- 111.3(b)(5)
- Razonamiento algebraico. El estudiante aplica los estándares de procesos matemáticos para identificar y aplicar patrones numéricos dentro de las propiedades de los números y las operaciones que le permitan describir relaciones.
- 111.3(b)(6)
- Geometría y medición. El estudiante aplica los estándares de procesos matemáticos para analizar los atributos de figuras de dos dimensiones y sólidos de tres dimensiones que le permita hacer generalizaciones acerca de sus propiedades.
- 111.3(b)(7)
- Geometría y medición. El estudiante aplica los estándares de procesos matemáticos para seleccionar y utilizar unidades que le permitan describir la longitud y el tiempo.
- 111.3(b)(9)
- Comprensión de finanzas personales. El estudiante aplica los estándares de procesos matemáticos para manejar eficazmente sus propios recursos financieros para lograr una seguridad financiera de por vida.
113.12, Social Studies, Grade 1
- 113.12(b)(3)
- Historia. El estudiante entiende los conceptos de tiempo y cronología
- 113.12(b)(6)
- Geografía. El estudiante entiende varias características físicas y humanas.
- 113.12(b)(16)
- Ciencias, tecnología y sociedad. El estudiante entiende cómo la tecnología ha afectado el diario vivir, en el pasado y en el presente.
- 113.12(b)(17)
- Destrezas de los estudios sociales. El estudiante utiliza las habilidades del pensamiento crítico para organizar y usar la información que adquiere de una variedad de fuentes válidas, incluyendo la tecnología electrónica.
- 113.12(b)(18)
- Destrezas de los estudios sociales. El estudiante se comunica en forma oral, visual y escrita.
- 113.12(b)(19)
- Destrezas de los estudios sociales. El estudiante utiliza habilidades para resolver problemas y tomar decisiones, en forma independiente y con otros, en diferentes ambientes.
117.107, Theatre, Grade 1
- 117.107(b)(1)
- Foundations: inquiry and understanding. The student develops concepts about self, human relationships, and the environment using elements of drama and conventions of theatre.
- 117.107(b)(2)
- Creative expression: performance. The student interprets characters using the voice and body expressively and creates dramatizations.
- 117.107(b)(3)
- Creative expression: production. The student applies design, directing, and theatre production concepts and skills.
- 117.107(b)(5)
- Critical evaluation and response. The student responds to and evaluates theatre and theatrical performances.
128.3., Spanish Language Arts and Reading, Grade 1, Adopted 2017
- 128.3(b)(6)(H)
- synthesize information to create new understanding with adult assistance
- 128.3(b)(6)(C)
- make, correct, or confirm predictions using text features, characteristics of genre, and structures with adult assistance;
- 128.3(b)(1)(E)
- develop social communication such as introducing himself/herself and others, relating experiences to a classmate, and expressing needs and feelings.
- 128.3(b)(7)(E)
- interact with sources in meaningful ways such as illustrating or writing
- 128.3(b)(7)(F)
- respond using newly acquired vocabulary as appropriate.
- 128.3(b)(7)(C)
- use text evidence to support an appropriate response;
- 128.3(b)(8)(D)
- describe the setting.
- 128.3(b)(9)(F)
- recognize characteristics of multimodal and digital texts.
- 128.3(b)(9)(D)
- recognize characteristics and structures of informational text, including:
- 128.3(b)(9)(A)
- demonstrate knowledge of distinguishing characteristics of well-known children's literature such as folktales, fables, fairy tales, and nursery rhymes;
- 128.3(b)(10)(E)
- listen to and experience first- and third-person texts.
- 128.3(b)(10)(B)
- discuss how the use of text structure contributes to the author's purpose;
- 128.3(b)(10)(C)
- discuss with adult assistance the author's use of print and graphic features to achieve specific purposes;
- 128.3(b)(11)(B)(ii)
- developing an idea with specific and relevant details;
- 128.3(b)(13)(B)
- develop and follow a research plan with adult assistance;
- 128.3(b)(4)
- Developing and sustaining foundational language skills: listening, speaking, reading, writing, and thinking--fluency. The student reads grade-level text with fluency and comprehension. The student is expected to use appropriate fluency (rate, accuracy, and prosody) when reading grade-level text.
- 128.3(b)(3)
- Developing and sustaining foundational language skills: listening, speaking, reading, writing, and thinking--vocabulary. The student uses newly acquired vocabulary expressively.
- 128.3(b)(8)
- Multiple genres: listening, speaking, reading, writing, and thinking using multiple texts--literary elements. The student recognizes and analyzes literary elements within and across increasingly complex traditional, contemporary, classical, and diverse literary texts.
- 128.3(b)(11)
- Composition: listening, speaking, reading, writing, and thinking using multiple texts--writing process. The student uses the writing process recursively to compose multiple texts that are legible and uses appropriate conventions.
- 128.3(b)(12)(A)
- dictate or compose literary texts, including personal narratives and poetry;
- 128.3(b)(12)(B)
- dictate or compose informational texts, including procedural texts
- 128.3(b)(11)(D)
- edit drafts using standard Spanish conventions, including:
- 128.3(b)(11)(D)(vii)
- pronouns, including the use of personal and possessive pronouns, and the difference in the use of formal pronoun usted and informal pronoun tú;
- 128.3(b)(11)(D)(vi)
- prepositions;
- 128.3(b)(11)(D)(v)
- adverbs that convey time;
- 128.3(b)(11)(D)(ii)
- past and present verb tense, including the difference between ser and estar;
- 128.3(b)(11)(D)(iii)
- singular, plural, common, and proper nouns, including gender-specific articles;
- 128.3(b)(11)(D)(iv)
- adjectives, including articles;
- 128.3(b)(13)(E)
- use an appropriate mode of delivery, whether written, oral, or multimodal, to present results.
- 128.3(b)(13)(C)
- identify and gather relevant sources and information to answer the questions with adult assistance;
- 128.3(b)(1)(D)
- work collaboratively with others by following agreed-upon rules for discussion, including listening to others, speaking when recognized, and making appropriate contributions
- 128.3(b)(1)(B)
- follow, restate, and give oral instructions that involve a short, related sequence of actions;
- 128.3(b)(1)(A)
- listen actively, ask relevant questions to clarify information, and answer questions using multi-word responses;
- 128.3(b)(1)(C)
- share information and ideas about the topic under discussion, speaking clearly at an appropriate pace and using the conventions of language;
This unit may address the following Texas College and Career Readiness Standards.
Science:
- S.I.C.1
- Collaborate on joint projects.
- S.I.D.1
- Demonstrate literacy in computer use.
- S.I.D.2
- Use computer models, applications, and simulations.
- S.I.E.1
- Use several modes of expression to describe or characterize natural patterns and phenomena. These modes of expression include narrative, numerical, graphical, pictorial, symbolic, and kinesthetic.
- S.I.E.2
- Use essential vocabulary of the discipline being studied.
- S.III.B.4
- List, use , and give examples of specific strategies before, during, and after reading to improve comprehension.
- S.III.C.1
- Prepare and present scientific/technical information in appropriate formats for various audiences.
Social Studies:
- SS.IV.A.5
- Read narrative texts critically.
- SS.IV.A.6
- Read research data critically.
- SS.IV.B.1
- Use established research methodologies.
- SS.IV.B.3
- Gather, organize, and display the results of data and research.
- SS.IV.B.4
- Identify and collect sources.
- SS.IV.C.1
- Understand and interpret presentations (e.g., speeches, lectures, informal presentations) critically.
- SS.V.A.1
- Use appropriate oral communication techniques depending on the context or nature of the interaction.
- SS.V.A.2
- Use conventions of standard written English.
- SS.V.B.1
- Attribute ideas and information to source materials and authors.
Cross-Disciplinary Standards:
- CDS.I.C.1
- Analyze a situation to identify a problem to be solved.
- CDS.I.C.2
- Develop and apply multiple strategies to solve a problem.
- CDS.I.C.3
- Collect evidence and data systematically and directly relate to solving a problem.
- CDS.I.D.1
- Self-monitor learning needs and seek assistance when needed.
- CDS.I.D.2
- Use study habits necessary to manage academic pursuits and requirements.
- CDS.I.D.3
- Strive for accuracy and precision.
- CDS.I.D.4
- Persevere to complete and master tasks.
- CDS.I.E.1
- Work independently.
- CDS.I.E.2
- Work collaboratively.
- CDS.I.F.1
- Attribute ideas and information to source materials and people.
- CDS.I.F.2
- Evaluate sources for quality of content, validity, credibility, and relevance.
- CDS.II.A.3
- Identify the intended purpose and audience of the text.
- CDS.II.A.4
- Identify the key information and supporting details.
- CDS.II.A.5
- Analyze textual information critically.
- CDS.II.A.6
- Annotate, summarize, paraphrase, and outline texts when appropriate.
- CDS.II.A.7
- Adapt reading strategies according to structure of texts.
- CDS.II.A.8
- Connect reading to historical and current events and personal interest.
- CDS.II.B.1
- Write clearly and coherently using standard writing conventions.
- CDS.II.B.2
- Write in a variety of forms for various audiences and purposes.
- CDS.II.C.5
- Synthesize and organize information effectively.
- CDS.II.C.6
- Design and present an effective product.
- CDS.II.C.7
- Integrate source material.
- CDS.II.C.8
- Present final product.
- CDS.II.D.1
- Identify patterns or departures from patterns among data.
- CDS.II.D.2
- Use statistical and probabilistic skills necessary for planning an investigation and collecting, analyzing, and interpreting data
- CDS.II.E.1
- Use technology to gather information.
- CDS.II.E.4
- Use technology appropriately.
English Language Arts:
- ELA.I.A.5
- Edit writing for audience, purpose, context, and style, assuring that it conforms to Standard American English, when appropriate.
- ELA.I.A.4
- Review feedback and revise each draft by organizing it more logically and fluidly, refining key ideas, and using language more precisely and effectively.
- ELA.II.A.1
- Use effective reading strategies to determine a written work’s purpose and intended audience.
- ELA.II.A.2
- Use text features to form an overview of content and to locate information.
- ELA.II.A.3
- Identify explicit and implicit textual information including main ideas and author’s purpose.
- ELA.III.A.5
- Plan and deliver focused, coherent presentations that convey clear and distinct perspectives and demonstrate sound reasoning.
- ELA.III.A.4
- Adjust delivery, vocabulary, and length of message for particular audiences, purposes, and contexts.
- ELA.III.A.2
- Engage in reasoned dialogue, including with people who have different perspectives.
- ELA.III.A.1
- Participate actively, effectively, and respectfully in one-on-one oral communication as well as in group discussions.
- ELA.III.A.3
- Understand how style, register, and content of spoken language vary in different contexts and influence the listener’s understanding.
- ELA.IV.A.2
- Listen critically and respond appropriately.
- ELA.IV.A.1
- Use a variety of active listening strategies to enhance comprehension.
- ELA.V.C.1
- Integrate and organize material effectively.
- ELA.V.B.3
- Assess the relevance and credibility of sources.
- ELA.V.A.1
- Articulate and investigate research questions.
- ELA.V.A.2
- Explore and refine a research topic.
Mathematics:
- M.I.B.1
- Use estimation to check for errors and reasonableness of solutions.
- M.I.A.1
- Compare relative magnitudes of rational and irrational numbers, and understand that numbers can be represented in different ways.
- M.I.A.2
- Perform computations with rational and irrational numbers.
- M.I.B.2
- Interpret the relationships between the different representations of numbers.
- M.III.B.2
- Use transformations to investigate congruence, similarity, and symmetries of figures.
- M.III.A.1
- Recognize characteristics and dimensional changes of two- and three-dimensional figures.
- M.III.A.2
- Form and validate conjectures about one-, two-, and three-dimensional figures and their properties.
- M.III.B.1
- Identify transformations and symmetries of figures.
- M.V.B.2
- Construct appropriate visual representations of data.
- M.V.B.4
- Describe patterns and departure from patterns in the study data.
- M.VIII.C.2
- ate and use representations to organize, record, and communicate mathematical ideas.
- M.VIII.C.3
- Explain, display, or justify mathematical ideas and arguments using precise mathematical language in written or oral communications.
- M.VIII.C.1
- Communicate mathematical ideas, reasoning, and their implications using symbols, diagrams, models, graphs, and words.
- M.VIII.B.1
- Model and interpret mathematical ideas and concepts using multiple representations.
- M.VIII.A.1
- Use mathematical symbols, terminology, and notation to represent given and unknown information in a problem.
- M.VIII.A.2
- Use mathematical language to represent and communicate the mathematical concepts in a problem.
- M.VIII.A.3
- Use mathematical language for reasoning, problem solving, making connections, and generalizing.
- M.VIII.B.2
- Summarize and interpret mathematical information provided orally, visually, or in written form within the given context.
- M.IX.B.2
- Understand and use appropriate mathematical models in the natural, physical, and social sciences.
- M.IX.B.1
- Use multiple representations to demonstrate links between mathematical and real-world situations.
Esta unidad puede abordar los siguientes estándares de Texas College and Career Readiness.
Science:
- S.I.C.1
- Colabora en proyectos conjuntos.
- S.I.D.1
- Demuestra conocimiento del uso de la computadora.
- S.I.D.2
- Usa modelos, aplicaciones y simuladores por computadora.
- S.I.E.1
- Usa varios modos de expresión para describir o caracterizar patrones y fenómenos naturales. Estos modos de expresión incluyen descripción escrita, numérica, gráfica, pictórica, simbólica y con lenguaje corporal.
- S.I.E.2
- Usa vocabulario esencial de la disciplina que se está estudiando.
- S.III.B.4
- Hace una lista, usa y da ejemplos de estrategias específicas antes, durante y después de leer para mejorar la comprensión.
- S.III.C.1
- Prepara y presenta información científica/técnica en formatos apropiados para varios públicos.
Social Studies:
- SS.IV.A.5
- Lee críticamente textos narrativos.
- SS.IV.A.6
- Lee críticamente datos de investigación.
- SS.IV.B.1
- Usa metodologías de investigación establecidas.
- SS.IV.B.3
- Reúne, organiza y muestra los resultados de los datos y la investigación.
- SS.IV.B.4
- Identifica y reúne fuentes.
- SS.IV.C.1
- Comprende e interpreta críticamente presentaciones.
- SS.V.A.1
- Usa técnicas apropiadas de comunicación oral según el contexto o la naturaleza de la interacción.
- SS.V.A.2
- Usa las reglas convencionales de la lengua inglesa escrita.
- SS.V.B.1
- Acredita las ideas y la información a los materiales de referencia y a los autores.
Cross-Disciplinary Standards:
- CDS.I.C.1
- Analiza una situación para identificar un problema a resolver.
- CDS.I.C.2
- Desarrolla y aplica múltiples estrategias para resolver un problema.
- CDS.I.C.3
- Reúne sistemáticamente evidencias y datos y los relaciona directamente para resolver un problema.
- CDS.I.D.1
- Autoevalúa sus necesidades de aprendizaje y busca ayuda cuando es necesario.
- CDS.I.D.2
- Usa hábitos de estudio necesarios para cumplir metas y requisitos académicos.
- CDS.I.D.3
- Se esfuerza por ser exacto y preciso.
- CDS.I.D.4
- Persevera hasta completar y dominar las tareas.
- CDS.I.E.1
- Trabaja de forma independiente.
- CDS.I.E.2
- Trabaja de manera colaborativa.
- CDS.I.F.1
- Acredita ideas e información a las fuentes de referencia y a las personas.
- CDS.I.F.2
- Evalúa las fuentes en función de la calidad de su contenido, validez, credibilidad y relevancia.
- CDS.II.A.3
- Identifica el propósito del texto y el público al que se dirige.
- CDS.II.A.4
- Identifica la información principal y los detalles de apoyo.
- CDS.II.A.5
- Analiza críticamente la información textual.
- CDS.II.A.6
- Comenta, resume, parafrasea y describe textos cuando sea apropiado.
- CDS.II.A.7
- Adapta estrategias de lectura acordes con la estructura de los textos.
- CDS.II.A.8
- Adapta estrategias de lectura acordes con la estructura de los textos.
- CDS.II.B.1
- Escribe clara y coherentemente usando las reglas convencionales de la escritura.
- CDS.II.B.2
- Escribe en una variedad de formas para varios públicos y propósitos.
- CDS.II.C.5
- Sintetiza y organiza la información de manera efectiva.
- CDS.II.C.6
- Diseña y presenta un producto efectivo.
- CDS.II.C.7
- Integra las referencias.
- CDS.II.C.8
- Presenta un producto final.
- CDS.II.D.1
- Identifica patrones o divergencias de los patrones entre los datos.
- CDS.II.D.2
- Usa destrezas estadísticas y probabilísticas necesarias para planear una investigación y recaba, analiza e interpreta datos.
- CDS.II.E.1
- Usa tecnología para reunir información.
- CDS.II.E.4
- Usa la tecnología apropiadamente.
English Language Arts:
- ELA.I.A.5
- Edit writing for audience, purpose, context, and style, assuring that it conforms to Standard American English, when appropriate.
- ELA.I.A.4
- Review feedback and revise each draft by organizing it more logically and fluidly, refining key ideas, and using language more precisely and effectively.
- ELA.II.A.1
- Use effective reading strategies to determine a written work’s purpose and intended audience.
- ELA.II.A.2
- Use text features to form an overview of content and to locate information.
- ELA.II.A.3
- Identify explicit and implicit textual information including main ideas and author’s purpose.
- ELA.III.A.5
- Plan and deliver focused, coherent presentations that convey clear and distinct perspectives and demonstrate sound reasoning.
- ELA.III.A.4
- Adjust delivery, vocabulary, and length of message for particular audiences, purposes, and contexts.
- ELA.III.A.2
- Engage in reasoned dialogue, including with people who have different perspectives.
- ELA.III.A.1
- Participate actively, effectively, and respectfully in one-on-one oral communication as well as in group discussions.
- ELA.III.A.3
- Understand how style, register, and content of spoken language vary in different contexts and influence the listener’s understanding.
- ELA.IV.A.2
- Listen critically and respond appropriately.
- ELA.IV.A.1
- Use a variety of active listening strategies to enhance comprehension.
- ELA.V.C.1
- Integrate and organize material effectively.
- ELA.V.B.3
- Assess the relevance and credibility of sources.
- ELA.V.A.1
- Articulate and investigate research questions.
- ELA.V.A.2
- Explore and refine a research topic.
Mathematics:
- M.I.B.1
- Use estimation to check for errors and reasonableness of solutions.
- M.I.A.1
- Compare relative magnitudes of rational and irrational numbers, and understand that numbers can be represented in different ways.
- M.I.A.2
- Perform computations with rational and irrational numbers.
- M.I.B.2
- Interpret the relationships between the different representations of numbers.
- M.III.B.2
- Use transformations to investigate congruence, similarity, and symmetries of figures.
- M.III.A.1
- Recognize characteristics and dimensional changes of two- and three-dimensional figures.
- M.III.A.2
- Form and validate conjectures about one-, two-, and three-dimensional figures and their properties.
- M.III.B.1
- Identify transformations and symmetries of figures.
- M.V.B.2
- Construct appropriate visual representations of data.
- M.V.B.4
- Describe patterns and departure from patterns in the study data.
- M.VIII.C.2
- ate and use representations to organize, record, and communicate mathematical ideas.
- M.VIII.C.3
- Explain, display, or justify mathematical ideas and arguments using precise mathematical language in written or oral communications.
- M.VIII.C.1
- Communicate mathematical ideas, reasoning, and their implications using symbols, diagrams, models, graphs, and words.
- M.VIII.B.1
- Model and interpret mathematical ideas and concepts using multiple representations.
- M.VIII.A.1
- Use mathematical symbols, terminology, and notation to represent given and unknown information in a problem.
- M.VIII.A.2
- Use mathematical language to represent and communicate the mathematical concepts in a problem.
- M.VIII.A.3
- Use mathematical language for reasoning, problem solving, making connections, and generalizing.
- M.VIII.B.2
- Summarize and interpret mathematical information provided orally, visually, or in written form within the given context.
- M.IX.B.2
- Understand and use appropriate mathematical models in the natural, physical, and social sciences.
- M.IX.B.1
- Use multiple representations to demonstrate links between mathematical and real-world situations.