The purpose of this Warm-up is for students to describe a point which will be useful when students locate points on a coordinate grid in a later activity. While students may notice and wonder many things about this image, the relationship between the point and the numbers on the vertical and horizontal axes is the main focus of the discussion.
Launch
Groups of 2
Display the image.
“¿Qué observan? ¿Qué se preguntan?” // “What do you notice? What do you wonder?”
1 minute: quiet think time
Activity
“Discutan con su compañero lo que pensaron” // “Discuss your thinking with your partner.”
1 minute: partner discussion
Share and record responses.
Student Task Statement
¿Qué observas? ¿Qué te preguntas?
Student Response
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Advancing Student Thinking
Activity Synthesis
“¿Cómo podemos describir la ubicación del punto?” // "How can we describe the location of the point?” (It is kind of in the middle of the grid, but toward the top. It is where two lines intersect. It is where line 5 and line 6 cross each other.)
Activity 1
20 mins
¿Cuál es el punto?
Standards Alignment
Building On
Addressing
5.G.A.1
Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g.,-axis and -coordinate, -axis and -coordinate).
The purpose of this activity is for students to describe coordinates for points. After playing a round of What’s the Point?, students have an opportunity to write a description of the location of a point in the coordinate grid. The structure of this part of the activity mirrors what students did in the previous lesson when they were describing a rectangle. Some students may use the coordinates on the grid while others may use words to describe the location of the point.
Students make choices about how to revise their thinking based on what makes the description stronger and clearer to them. This activity not only supports students developing language to describe the location of a point but also develops a deeper understanding of the coordinate grid (MP6). Invite students to use language from the display from an earlier lesson if they find it helpful.
This activity uses MLR1 Stronger and Clearer Each Time. Advances: Reading, Writing.
Launch
Groups of 2.
Activity
10 minutes: partner work time
Monitor for students who:
Revise their thinking.
Refer to the numbers on the coordinate grid to communicate the location of the point.
MLR1 Stronger and Clearer Each Time
“Compartan con su compañero su descripción de la ubicación del punto en la cuadrícula. Por turnos, uno habla y el otro escucha. Si es su turno de hablar, compartan sus ideas y lo que han escrito hasta ese momento. Si es su turno de escuchar, hagan preguntas y comentarios que ayuden a su compañero a mejorar su trabajo” // “Share your description of the location of the point on the grid with your partner. Take turns being the speaker and the listener. If you are the speaker, share your ideas and writing so far. If you are the listener, ask questions and give feedback to help your partner improve their work.”
3–5 minutes: structured partner discussion
Repeat with 1–2 different partners.
If needed, display question starters and prompts for feedback, such as:
“¿Pueden usar los números de la cuadrícula de coordenadas en su explicación?” // “Can you use the numbers on the coordinate grid in your explanation?”
“Ajusten su borrador inicial basándose en los comentarios que les hicieron sus compañeros” // “Revise your initial draft based on the feedback you got from your partner.”
2–3 minutes: independent work time
Student Task Statement
Tu profesor te va a dar varias tarjetas que muestran puntos graficados en unas cuadrículas de coordenadas.
Jueguen 2 rondas de “¿Cuál es el punto?” para que cada compañero tenga la oportunidad de dibujar.
Siéntense espalda con espalda.
Compañero A: escoge una tarjeta. Describe la ubicación del punto a tu compañero.
Compañero B: ubica el punto en la cuadrícula de coordenadas.
Comparen la tarjeta del compañero A con el punto que ubicó el compañero B.
Discutan: ¿En qué se parecen? ¿En qué son diferentes?
Intercambien roles y jueguen otra ronda.
Expliquen con palabras la ubicación del punto en la cuadrícula.
Activity Synthesis
Select previously identified students to share how they revised their explanation for the location of the point in the last problem.
Display the image of the coordinate grid with a point from the student book.
“El punto se puede describir usando las coordenadas. ¿De dónde creen que vienen estas coordenadas?” // “The point can be described using the coordinates. Where do you think these coordinates come from?” (They describe the location of the point. The point is on grid line 3 and grid line 4. The point is where these grid lines intersect.)
Activity 2
15 mins
Ubica y marca puntos
Standards Alignment
Building On
Addressing
5.G.A.1
Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g.,-axis and -coordinate, -axis and -coordinate).
The purpose of this activity is for students to write ordered pairs of numbers to represent points in the coordinate grid and to plot points with given coordinates. Students may interpret the horizontal and vertical coordinates backward. With time and practice they will learn the convention that the first coordinate represents the horizontal location of the point and the second coordinate represents its vertical location.
Representation: Internalize Comprehension. Synthesis: Invite students to identify which details were most important to list coordinates. Display the sentence frame, “La próxima vez que nombre coordenadas y ubique puntos, buscaré / prestaré atención a . . .” // “The next I time name coordinates and plot points, I will look for/pay attention to . . . .” Supports accessibility for: Memory, Attention, Conceptual Processing
Launch
Groups of 2
Display images of points P and Q from the student book.
Poll the class: “¿Cuáles son las coordenadas de los puntos P y Q?” // “What are the coordinates of points P and Q?”
“Las coordenadas de estos puntos tienen los mismos números. Tenemos una convención: siempre escribimos de primero el número que corresponde al eje horizontal y de segundo el número que corresponde al eje vertical. Las coordenadas del punto P son . ¿Cómo está representado el punto P con estas coordenadas?” // “The coordinates for these points have the same numbers. We have a convention that we always list the number that corresponds with the horizontal axis first and the number that corresponds with the vertical axis second. The coordinates for point P are . How do these coordinates represent point P?” (The 3 is on the horizontal axis and the 4 is on the vertical axis.)
“¿Cuáles son las coordenadas del punto Q?” // “What are the coordinates for point Q?”
“En esta actividad, van a nombrar coordenadas de puntos y a ubicar puntos que tienen ciertas coordenadas dadas” // “In this activity, you are going to name coordinates of points and plot points with given coordinates.”
Activity Synthesis
“¿Qué retos hay al nombrar las coordenadas de un punto?” // “What is challenging about naming the coordinates for a point?” (I need to remember which coordinate goes first and which one goes second. I have to be careful to make sure I get the right horizontal and vertical location of the point.)
“¿Qué retos hay al ubicar puntos en la cuadrícula de coordenadas?” // “What is challenging about plotting points on the coordinate grid?” (I have to remember which coordinate goes with which axis. It is hard to remember the coordinates while you are also trying to find them on the grid. I could find each coordinate but finding the point with both of those coordinates is hard.)
Lesson Synthesis
Display a blank coordinate grid from the first activity.
“¿Qué nueva información aprendimos sobre la estructura de las cuadrículas de coordenadas?” // “What new information did we learn about the structure of coordinate grids?” (We can use the numbers on the axes to plot and label points on the grid.)
Display the coordinates and .
“¿Qué sabemos sobre los puntos que tienen estas coordenadas?” // “What do we know about the points with these coordinates?” (They each have a 7 and a 4 but the 7 and 4 are in different places. So, has a horizontal coordinate of 4 and a vertical coordinate of 7 and has a horizontal coordinate of 7 and a vertical coordinate of 4.)
“¿Cómo ubicamos cada uno de estos pares de coordenadas?” // “How do we plot each of these coordinate pairs?” (The first coordinate says how far to go across horizontally and the second coordinate says how far to go up vertically.)
Plot the points and on the blank grid according to the directions students give.
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Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g.,-axis and -coordinate, -axis and -coordinate).
Ubica y marca los puntos , , en la misma cuadrícula en la que están los puntos , y .
Student Response
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Advancing Student Thinking
If students reverse the coordinates when plotting points, consider asking:
“¿Qué sabes sobre este punto?” // “What do you know about this point?”
Plot the point on the grid. “¿En qué se parecen estos puntos y los puntos que ubicaste? ¿En qué son diferentes?” // “What is the same and different about these points and the points that you plotted?”