Number line. 21 evenly spaced tick marks. Scale negative 10 to 10, by 1's. Two arrows. One arrow points to the right from 0 to 3. One arrow points to the right from 3 to 7.
Number line. 21 evenly spaced tick marks. Scale negative 10 to 10, by 1's. Two arrows. One arrow points to the right from 0 to 3. One arrow points to the left from 3 to negative 6.
Number line. 21 evenly spaced tick marks. Scale negative 10 to 10, by 1's. Two arrows. One arrow points to the right from 0 to 3. One arrow points to the left from 3 to 0.
Number line. 21 evenly spaced tick marks. Scale negative 10 to 10, by 1's. Two arrows pointing to the left, one from 0 to negative 4 and another from negative 4 to negative 9.
6.2
Activity
Warmer and Colder
Standards Alignment
Building On
Addressing
7.NS.1.a
Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Complete the table, and draw a number line diagram for each situation.
start ()
change ()
final ()
addition equation
a
+40
10 degrees warmer
+50
b
+40
5 degrees colder
c
+40
30 degrees colder
d
+40
40 degrees colder
e
+40
50 degrees colder
Complete the table, and draw a number line diagram for each situation.
start ()
change ()
final ()
addition equation
a
-20
30 degrees warmer
b
-20
35 degrees warmer
c
-20
15 degrees warmer
d
-20
15 degrees colder
6.3
Activity
Winter Temperatures
Standards Alignment
Building On
Addressing
7.NS.1.a
Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
One winter day, the temperature in Houston is Celsius. Find the temperatures in these other cities. Explain or show your reasoning.
In Orlando, it is warmer than it is in Houston.
In Salt Lake City, it is colder than it is in Houston.
In Minneapolis, it is colder than it is in Houston.
In Fairbanks, it is colder than it is in Minneapolis.
Write an addition equation that represents the relationship between the temperature in Houston and the temperature in Fairbanks.
Student Lesson Summary
If it is outside and the temperature increases by , then we can add the initial temperature and the change in temperature to find the final temperature.
If the temperature decreases by , we can either subtract to find the final temperature, or we can think of the change as . As in the previous example, we can add to find the final temperature.
In general, we can represent a change in temperature with a positive number if it increases and with a negative number if it decreases. Then we can find the final temperature by adding the initial temperature and the change. If it is and the temperature decreases by , then we can add to find the final temperature.
We can represent signed numbers with arrows on a number line. We can represent positive numbers with arrows that start at 0 and point to the right. For example, this arrow represents +10 because it is 10 units long and it points to the right.
We can represent negative numbers with arrows that start at 0 and point to the left. For example, this arrow represents -4 because it is 4 units long and it points to the left.
To represent addition, we put the arrows “tip to tail.” So this diagram represents :
A number line with the numbers negative 10 through 10 indicated. An arrow starts at 0, points to the right, and ends at 3. A second arrow starts at 3, points to the right, and ends at 8. there is a solid dot indicated at 8.
And this diagram represents :
A number line with the numbers negative 10 through 10 indicated. An arrow starts at 0, points to the right, and ends at three. A second arrow starts at 3, points to the left, and ends at negative 2. There is a solid dot indicated at negative.
Glossary
None
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Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.