Represent Rational Numbers and Their Opposites on the Number Line

6.NOS.6 · Unit 7 · Lesson 2

Name   Period

Objectives / Objetivos

Content Objective: I can place rational numbers, including fractions and decimals, on a number line.

Language Objective: I can explain my reasoning using the words rational number, fraction, decimal, and number line.

Key Idea / Idea clave

Rational Numbers on the Number Line. 1. Find the two consecutive integers the rational number falls between. 2. Divide the segment between integers into equal parts matching the denominator. 3. Negative numbers move to the left of zero; positive numbers move to the right

I Notice / Observo

  • Where would -2.5 fall on a number line between -3 and -2?
  • How is plotting 3/4 different from plotting a whole number?

I Wonder / Me pregunto

  • How many rational numbers exist between any two integers?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Rational Numbers on the Number Line
Números racionales en la recta numérica		Every rational number has one exact spot on the number line. Writing it as a fraction, a decimal, or an integer does not change where it sits.
Cada número racional tiene un lugar exacto en la recta numérica. Escribirlo como fracción, decimal o entero no cambia dónde queda.
Rational number
Número racional		A number that can be written as a fraction of two integers, with a bottom number that is not zero.
Un número que se puede escribir como una fracción de dos enteros, con un denominador que no sea cero.
Fraction
Fracción		A number that shows part of a whole, like 3/4.
Un número que muestra una parte de un todo, como 3/4.
Decimal
Decimal		A number with a dot, like 0.5, that shows a part less than one.
Un número con un punto, como 0.5, que muestra una parte menor que uno.
Number line
Recta numérica		A straight line where numbers are placed in order; numbers get smaller to the left and larger to the right.
Una recta donde los números se colocan en orden; los números son menores a la izquierda y mayores a la derecha.
Equivalent
Equivalente		Having the same value, just written a different way.
Tener el mismo valor, escrito de otra forma.

Practice Preview / Vista previa de práctica

  1. Which point is located between -1 and -2 on the number line?
    1. -0.5
    2. -1.5
    3. -2.5
    4. 1.5
  2. Plot these rational numbers: -3.5, -1/4, 2.75, -2, 1 1/2
  3. Convert between fraction and decimal form. Then plot on a mental number line to compare.
  4. Find the Plotting Error
    1. Step 1: Problem — Plot -3/4 on the number line
    2. Step 2: Student thinking — -3/4 has a 3 and a 4, so I go to -3 on the number line and then count 4 more to the left
    3. Step 3: Student answer — Point plotted at -7

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: