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The purpose of this Warm-up is to revisit the idea from IM Grade 3 that tape diagrams and number lines are related, which will be useful later in the lesson, when students transition from using fraction strips to using the number line to represent fractions and reason about their size.
While students may notice and wonder many things about these representations, the connections between the tape diagram and number line (the number and size of the parts in relation to 1) are important to note.
¿Qué observas? ¿Qué te preguntas?
This activity serves two main goals: to revisit the idea of equivalence from grade 3, and to represent non-unit fractions with denominators 10 and 12. Students use diagrams of fraction strips, which allow them to see and reason about fractions that are the same size. In the next activity, students will apply a similar process of partitioning to represent these fractional parts on number lines.
Este es un diagrama de tiras de fracciones con dos tiras más en blanco.
Usa una de las tiras en blanco para mostrar décimos. Marca las partes. ¿Cómo partiste la tira?
Usa la otra tira en blanco para mostrar doceavos. Marca las partes. ¿Cómo partiste la tira?
Jada dice: “Observé que una parte de
En cada caso, encuentra una fracción en el diagrama que sea equivalente a la fracción dada. Prepárate para explicar tu razonamiento.
The purpose of this activity is to remind students of their work in grade 3 using number lines as a way to reason about fractions. Students see that they can partition number lines in a similar way as they partitioned fraction strips and diagrams.
This activity gives students another opportunity to notice the relationship between two fractions where one denominator is a multiple or a factor of the other, and then use this relationship to locate fractions on a number line. In doing so, students practice looking for and making use of structure (MP7).
The work prepares students to use number lines to think about equivalent fractions in the next lesson.
MLR5 Co-craft Questions
El punto que está en esta recta numérica muestra la fracción
Escribe la fracción que corresponde debajo de las marcas de cada recta numérica.
Vas a ubicar
Ubica y marca cada fracción (
Ubica y marca cada fracción en una de las rectas numéricas.
Select 1–2 students to share their completed number lines from the last activity, with points marked on the lines to represent the given fractions.
Consider asking:
Display a completed diagram of fraction strips from the first activity.
“¿En qué se parecen representar una fracción como
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