Curriculum / Math / 6th Grade / Unit 4: Rational Numbers / Lesson 4
Math
Unit 4
6th Grade
Lesson 4 of 13
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Define opposites and label opposites on a number line. Recognize that zero is its own opposite.
The core standards covered in this lesson
6.NS.C.6.A — Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.
6.NS.C.6.B — Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Encourage students to practice reading expressions out loud, for example: read $${-(-2)}$$ as the opposite of the opposite of $$2$$, or the opposite of negative $$2$$.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Use the number line below to answer the questions that follow.
Numbers that are the same distance from 0 but on opposite sides of 0 are called “opposites.”
a. Find 6 on the number line. What number is the same distance from 0 as 6?
b. Find 3 on the number line. What number is the same distance from 0 as 3?
c. Find 4.5 on the number line. What number is the same distance from 0 as 4.5?
d. Find −7 on the number line. What number is the same distance from 0 as −7?
e. What is the opposite of $$-2$$?
f. What is the opposite of $$-2.25$$?
g. What is the opposite of 0?
The average temperature in Anchorage, Alaska, in February is 8 degrees below 0 on the Celsius scale. What integer represents the opposite of this temperature? Show the pair of opposites on a number line.
What is the opposite of the opposite of 4? How can you show this on a number line?
A set of suggested resources or problem types that teachers can turn into a problem set
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Determine if each statement below is sometimes, always, or never true. Explain your reasoning for each statement.
a. The opposite of a number is 0.
b. The opposite of a negative number is positive.
c. The opposite of the opposite of a positive number is negative.
d. If two numbers are on opposite sides of 0, then they are opposites.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 3
Lesson 5
Topic A: Understanding Positive and Negative Rational Numbers
Extend the number line to include negative numbers. Define integers.
6.NS.C.6 6.NS.C.6.C
Use positive and negative numbers to represent real-world contexts, including money and temperature.
6.NS.C.5
Use positive and negative numbers to represent real-world contexts, including elevation.
6.NS.C.6.A 6.NS.C.6.B
Find and position integers and rational numbers on the number line.
6.NS.C.6.C
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Topic B: Order and Absolute Value
Order integers and rational numbers. Explain reasoning behind order using a number line.
6.NS.C.6.C 6.NS.C.7.A
Compare and interpret the order of rational numbers for real-word contexts.
Write and interpret inequalities to compare rational numbers in real-world and mathematical problems.
6.NS.C.7.A 6.NS.C.7.B
Define absolute value as the distance from zero on a number line.
6.NS.C.7.C
Model magnitude and distance in real-life situations using order and absolute value.
6.NS.C.7.C 6.NS.C.7.D
Topic C: Rational Numbers in the Coordinate Plane
Use ordered pairs to name locations on a coordinate plane. Understand the structure of the coordinate plane.
6.NS.C.6.B 6.NS.C.6.C
Reflect points across axes and determine the impact of reflections on the signs of ordered pairs.
6.NS.C.6.B
Calculate vertical and horizontal distances on a coordinate plane using absolute value in real-world and mathematical problems.
6.NS.C.7.C 6.NS.C.8
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