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The purpose of this warm-up is for students to make sense of a new representation and how it is similar to and different from a ruler. If possible, display an actual ruler next to the number line. This will be useful when students create their own number lines in a later activity. While students may notice and wonder many things about these images, the connections between the features of a number line and a ruler are the important discussion points.
The purpose of this activity is for students to learn the features of a number line. Students make sense of and use the features of number lines, such as the sequence of numbers moving from left to right and equal spacing between tick marks to locate and represent whole numbers. In the synthesis, students describe how they filled in the missing numbers on a number line and how they located and represented a specific number.
Escribe debajo de cada marca el número que representa.
Ubica el 6. Márcalo con un punto.
Ubica un número que sea mayor que 6. Márcalo con un punto.
Escribe debajo de cada marca el número que representa.
Ubica el 9. Márcalo con un punto.
Ubica un número que sea menor que 9. Márcalo con un punto.
The purpose of this activity is for students to learn that numbers are represented on a number line as lengths from 0. Students choose their own length unit to make equally spaced tick marks and label them 0–20. In the synthesis, students compare their number lines and notice that on a given number line the length between successive numbers should be the same. This length represents 1 length unit (the unit interval). Students also notice that, unlike tools that are used to measure standard length units, number lines can use any size of length unit to represent a set of numbers, as long as it's the same between consecutive numbers.
In order to make an accurate number line, students will need to make strategic use of materials in order to measure the units on their number line. This could be a paper clip or a staple or the equally spaced lines on a lined sheet of paper (MP5).
Students will use the number line they create in an upcoming lesson.
Haz una recta numérica que vaya de 0 a 20.
Ubica el 13. Márcalo con un punto.
Ubica el 3. Márcalo con un punto.
Compara rectas numéricas con tu compañero.
“Hoy aprendimos sobre la recta numérica, que es una representación visual de los números. Aprendimos que, al igual que con las reglas y los diagramas de puntos, los números se pueden representar con marcas para mostrar su longitud medida desde 0 en la recta numérica. También aprendimos que podemos mostrar números específicos en una recta numérica marcándolos con un punto” // “Today we learned about the number line, which is a visual representation of numbers. We learned that, just like with rulers and line plots, numbers can be represented by tick marks to show their length from 0 on the number line. We also learned that you can show specific numbers on a number line by marking them with a point.”
Display the 3 student number lines from the last activity.
“¿Cómo pueden los puntos en distintas rectas numéricas representar el mismo número?” // “How can the points on each number line represent the same number?“ (They used different units, but they all show that 3 is 3 length units from 0 and 13 is 13 length units from 0.)