This Warm-up prompts students to compare four pattern block designs. This activity gives students a reason to use language precisely (MP6). It gives the teacher an opportunity to hear how students use terminology and talk about characteristics of the items in comparison to one another. The Activity Synthesis draws students’ attention to the total number of pattern blocks in a design and the numbers of shapes within each group in the design, which will be useful when students create and compare pattern block designs in upcoming activities.
Launch
Groups of 2
Display the image.
“Escojan 3 que vayan juntos. Prepárense para compartir por qué van juntos” // “Pick 3 that go together. Be ready to share why they go together.”
1 minute: quiet think time
Activity
“Discutan con su pareja lo que pensaron” // “Discuss your thinking with your partner.”
2–3 minutes: partner discussion
Record responses.
Student Task Statement
¿Cuáles 3 van juntos?
A
B
C
D
Student Response
Loading...
Advancing Student Thinking
Activity Synthesis
Display Images A, C, and D.
“¿Por qué estos van juntos?” // “Why do these go together?” (They have squares and rhombuses.)
“¿En qué son diferentes?” // ”How are they different?" (One has 7 shapes and the others have 6. Two have 4 squares and the other has 3 squares. Two are organized and one isn't.)
Activity 1
10 mins
Hagamos diseños con fichas geométricas
Standards Alignment
Building On
Addressing
K.OA.3
Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).
The purpose of this activity is for students to compose a group of 7 objects and identify the parts and total in the design. In the Activity Synthesis, students share their designs and discuss that while the total number of pattern blocks stays the same, the numbers of each type of pattern block changes. As students share, the teacher records an expression to represent the parts in each design.
MLR8 Discussion Supports. Invite students to begin partner interactions by repeating the questions, “¿En qué se parecen? ¿En qué son diferentes?” // “What is the same? What is different?” This gives both students an opportunity to produce language. Advances: Conversing
Launch
Groups of 2
Give students pattern blocks and crayons.
“Hagan un diseño con 7 fichas geométricas. Solo usen triángulos verdes y cuadrados anaranjados. Hagan un dibujo de su diseño y escriban números para mostrar cuántos triángulos verdes y cuántos cuadrados anaranjados usaron” // “Create a design with 7 pattern blocks. Use only green triangles and orange squares. Draw a picture of your design and write numbers to show how many green triangles and how many orange squares you used.”
Activity
3 minutes: independent work time
Monitor for students who use different numbers of triangles and squares to create a design with 7 pattern blocks.
“Compartan su diseño con su pareja. Cuéntenle cuántos triángulos verdes usaron, cuántos cuadrados anaranjados usaron y cuántas fichas geométricas usaron en total” // “Share your design with your partner. Tell them how many green triangles you used, how many orange squares you used, and how many pattern blocks you used altogether.”
2 minutes: partner discussion
Student Task Statement
Mi diseño
Student Response
Activity Synthesis
Invite 2–3 students who used different numbers of squares and triangles to share their designs.
“¿Qué partes ven en el diseño de _____?” // “What parts do you see in _____’s design?” (There is a group of 5 green triangles. There is a group of 2 orange squares.)
As students share, record each design with an expression.
“Antes, usamos expresiones para mostrar situaciones en las que algo se agregaba o se quitaba. También podemos escribir una expresión para mostrar las partes que vemos. Este diseño tiene 7 fichas geométricas: 5 triángulos verdes y 2 cuadrados anaranjados. Esto lo puedo escribir como ” // “In the past, we used expressions to show when something was added or taken away. We can also write an expression to show the parts that we see. This design has 7 pattern blocks, 5 green triangles and 2 orange squares. I can write that as .”
“¿En qué se parecen los diseños? ¿En qué son diferentes?” // “What is the same about each design? What is different?” (They each have 7 pattern blocks. They each have only squares and triangles. The designs look different. They used different numbers of squares and triangles.)
If needed, say: “Cada diseño tenía 7 fichas geométricas, pero usaron números diferentes de triángulos verdes y de cuadrados anaranjados. Seguía habiendo 7 fichas geométricas” // “Each design had 7 pattern blocks, but they used different numbers of green triangles and orange squares. There were still 7 pattern blocks.”
Activity 2
10 mins
El diseño con fichas geométricas de Han
Standards Alignment
Building On
Addressing
K.OA.3
Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).
The purpose of this activity is for students to see 8 pattern blocks broken into 2 parts in multiple ways. Students represent each pattern block design with an expression. When students write an expression to represent the pattern blocks they reason abstractly and quantitatively (MP2).
Representation: Access for Perception. Students with color blindness will benefit from verbal emphasis, gestures, or labeled displays to distinguish between the different colors of pattern blocks. Supports accessibility for: Visual-Spatial Processing
Launch
Groups of 2
Give students pattern blocks.
“Hagan otro diseño con 7 fichas geométricas, pero solo usen triángulos verdes y cuadrados anaranjados. No usen el mismo número de cuadrados anaranjados ni de triángulos verdes que usaron antes” // “Make another design with 7 pattern blocks, using only green triangles and orange squares. Use a different number of orange squares and green triangles than you did in the previous activity.”
2 minutes: independent work time
“Compartan su diseño con su pareja. Cuéntenle a su pareja cuántas fichas geométricas usaron en total y cuántos triángulos verdes y cuántos cuadrados anaranjados usaron” // “Share your design with your partner. Tell your partner how many pattern blocks you used altogether, and how many green triangles and orange squares you used.”
2 minutes: partner discussion.
“Han hizo estos diseños usando 8 fichas geométricas. Escriban una expresión para mostrar cuántos triángulos verdes y cuántos trapecios rojos usó en cada diseño” // “Here are some pattern block designs that Han made with 8 pattern blocks. Write an expression to show how many green triangles and red trapezoids he used in each design.”
Activity
3 minutes: partner work time
Student Task Statement
8 fichas geométricas
Expresión: ___________________________
Expresión: ___________________________
Expresión: ___________________________
Expresión: ___________________________
Activity Synthesis
“¿Cuáles fueron las distintas maneras de formar 8 que encontraron en los diseños?” // “What are the different ways to make 8 that you found in the designs?” (5 and 3, 4 and 4, 6 and 2)
Display the first and third designs.
“¿En qué se parecen estos diseños? ¿En qué son diferentes?” // “What is the same about these designs? What is different?” (They both show 5 and 3. They both have 8 pattern blocks. One used more red trapezoids and one used more green triangles.)
The purpose of this activity is for students to choose from activities that offer practice with addition and subtraction.
Students choose any stage previously introduced stage from these centers:
Check it Off
Find the Value of Expressions
Bingo
Shake and Spill
Launch
“Hoy vamos a escoger centros de los que ya conocemos” // “Today we are going to choose from centers we have already learned.”
Display the center choices in the student book.
“Piensen qué les gustaría hacer primero” // “Think about what you would like to do first.”
30 seconds: quiet think time
Activity
Invite students to work at the center of their choice.
8 minutes: center work time
“Escojan qué les gustaría hacer ahora” // “Choose what you would like to do next.”
8 minutes: center work time
Student Task Statement
Escoge un centro.
Márcalo
Bingo
Encuentra el valor de
expresiones
Revuelve y saca
Student Response
None
Advancing Student Thinking
Activity Synthesis
Display 4 red counters and 2 yellow counters.
“Andre estaba jugando ‘Revuelve y saca’ y así se veían sus fichas. Al mirar todas las fichas, ¿cuáles son las dos partes que ven?” // “Andre was playing Shake and Spill and this is what his counters looked like. What are the two parts that you see in the counters?” (4 and 2)
“Si Andre revuelve y saca 6 fichas otra vez, ¿de qué otra forma se podrían ver sus fichas?” // “If Andre shakes and spills 6 counters again, what is a different way that his counters could look?” (3 red and 3 yellow, 5 red and 1 yellow)
Lesson Synthesis
Display this pattern block design from Activity 2:
“¿Cuántas fichas geométricas hay en este diseño?” // “How many pattern blocks are in this design?” (8)
“¿Qué partes ven en este diseño?” // “What parts do you see in this design?” (6 green triangles, 2 red trapezoids)
“Una manera en la que podemos separar 8 es 6 y 2. 8 es ” // “One way that we can break apart 8 is 6 and 2. 8 is .”
“¿Qué podemos cambiar del diseño para mostrar una manera diferente de separar el 8?” // “What can we change about the design to show a different way to break apart 8?” (You could take away one red trapezoid and add one green triangle. Then it would show 7 and 1.)
Invite students to share and demonstrate student suggestions.
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Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).