Curriculum / Math / 6th Grade / Unit 4: Rational Numbers / Lesson 10
Math
Unit 4
6th Grade
Lesson 10 of 13
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Model magnitude and distance in real-life situations using order and absolute value.
The core standards covered in this lesson
6.NS.C.7.C — Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars.
6.NS.C.7.D — Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than -30 dollars represents a debt greater than 30 dollars.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Ms. Miller checked her bank account balance and saw she had a balance of −$50.
a. What is the magnitude of Ms. Miller's debt?
b. If Ms. Miller’s balance changes to be lower than −$50, would she then have more or less debt?
c. If Ms. Miller’s debt decreases, then what happens to her account balance?
The captain of a fishing vessel is standing on the deck at 23 feet above sea level. He holds up a rope that is tied to his fishing net that is below him underwater at a depth of 38 feet.
a. Draw a diagram to show the location of the captain, the rope, and the fishing net.
b. Label your diagram with the following: $$-{38}$$, $$0$$, $${{23}}$$, $$|-{38}|$$, and $$|{{23}}|$$.
c. Write an inequality to compare the elevations of the captain and the fishing net.
d. Write an inequality to compare the length of the rope out of the water and the length of the rope in the water.
e. The captain lowers the rope further into the water. Describe what happens to the elevation of the fishing net and to the length of the rope under the water.
Grade 6 Mathematics > Module 3 > Topic B > Lesson 13 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
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Blue whales can dive up to 1,660 feet under the surface of the water. A southern elephant seal dives deeper than a blue whale.
a. Which of the following could represent the elevation of the southern elephant seal's dive?
A. −2,000
B. -1,000
C. 1,000
D. 2,000
b. Explain why your answer is correct using absolute value.
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 9
Lesson 11
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.
Define opposites and label opposites on a number line. Recognize that zero is its own opposite.
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
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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