Wed Sep 10
NS.5 & NS.6a & NS.7c
Lesson 2
After completing the Check-your-understanding Questions, which were important for everyone to do?
On the blank side, write: First name, last name, U2T1
A. |5|
B. |-12|
* If you have time, sketch a number line to prove your answers are correct.
Direct Instruction
Notes
-3 can be read two ways: "the opposite of 3" or "negative 3"
The opposite of the opposite of a number is the number itself, e.g., –(–3) = 3,
* If we go to Starbucks and you borrow $5. What kind of number is that? Now imagine the next day I say to you, "I took away your debt." What does that mean?
|0| = 0
0 is its own opposite
NS.6 a & c
Lesson 1
On a number line showing a drive from San Francisco to Los Angeles, a landmark in San Jose would be a dot at approximately 50 miles, while a landmark near Bakersfield might be a dot at 250 miles.
We could use these two dots on the number line to answer the question, "What is the distance between Gilroy and Bakersfield on this number line?"
Draw a line with arrows. If I want to put 50 and 250 on it, do I need negative numbers? Do I need 0? What do I need? Next, change the numbers to 4 and 9. Ask, what numbers do I need? Show starting with 4, numbering by 1s up to 9. Then ask the distance and have students share both ways.
To foreshadow, write: d =
There are two houses, one on 15 and one on 8. Graph the numbers on a number line. Then find the distance between the two whole numbers.
There are two houses, one on 36 and one on 45. Graph the numbers on a number line. Then find the distance between the two integers.
There are two houses, one on 3 and one on -5. Graph the numbers on a number line. Then find the distance between the two integers.
Graph 7 and -2 on a number line. Then find the distance between the two integers.
Graph -1 and -4 on a number line. Then find the distance between the two integers.
Graph -15 and -24 on a number line. Then find the distance between the two integers.
Graph -92 and -103 on a number line. Then find the distance between the two integers.
Consolidation
Notes
There are two ways to find the distance between two numbers (a and b)
One way:
Make a number line and count the number of spaces between the two points (a and b)
* Pro tip: only make a number line for the numbers you are graphing. When you can, go by 1's (makes it easier to count)
Another way:
1. Subtract one number from the other (find the difference). You can subtract a from b, or b from a; the order doesn't matter.
2. Find the absolute value of the difference
Lesson 2
Discuss (2 min)
After completing the Check-your-understanding Questions, which were important for everyone to do?
Lesson 2
Entry Ticket (5 min)
On the blank side, write: First name, last name, U2T1
A. |5|
B. |-12|
* If you have time, sketch a number line to prove your answers are correct.
Lesson 2
Direct Instruction
Notes
-3 can be read two ways: "the opposite of 3" or "negative 3"
The opposite of the opposite of a number is the number itself, e.g., –(–3) = 3,
* If we go to Starbucks and you borrow $5. What kind of number is that? Now imagine the next day I say to you, "I took away your debt." What does that mean?
|0| = 0
0 is its own opposite
Lesson 1
Launch
On a number line showing a drive from San Francisco to Los Angeles, a landmark in San Jose would be a dot at approximately 50 miles, while a landmark near Bakersfield might be a dot at 250 miles.
We could use these two dots on the number line to answer the question, "What is the distance between Gilroy and Bakersfield on this number line?"
Draw a line with arrows. If I want to put 50 and 250 on it, do I need negative numbers? Do I need 0? What do I need? Next, change the numbers to 4 and 9. Ask, what numbers do I need? Show starting with 4, numbering by 1s up to 9. Then ask the distance and have students share both ways.
To foreshadow, write: d =
Lesson 1
Vertical Collaboration
There are two houses, one on 15 and one on 8. Graph the numbers on a number line. Then find the distance between the two whole numbers.
There are two houses, one on 36 and one on 45. Graph the numbers on a number line. Then find the distance between the two integers.
There are two houses, one on 3 and one on -5. Graph the numbers on a number line. Then find the distance between the two integers.
Graph 7 and -2 on a number line. Then find the distance between the two integers.
Graph -1 and -4 on a number line. Then find the distance between the two integers.
Graph -15 and -24 on a number line. Then find the distance between the two integers.
Graph -92 and -103 on a number line. Then find the distance between the two integers.
Lesson 1
Consolidation
Notes
There are two ways to find the distance between two numbers (a and b)
One way:
Make a number line and count the number of spaces between the two points (a and b)
* Pro tip: only make a number line for the numbers you are graphing. When you can, go by 1's (makes it easier to count)
Another way:
1. Subtract one number from the other (find the difference). You can subtract a from b, or b from a; the order doesn't matter.
2. Find the absolute value of the difference