T2
Position integers on a number line and find the distance between them
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
Do the following two problems in your notebook:
1. Graph 15 and 8 on a number line. Then find the distance (d) between the two whole numbers.
2. Graph 3 and -5 on a number line. Then find the distance (d) between the two whole numbers.
Discussion
Notes
To find distance:
We can count spaces (always works)
Subtract and find the absolute value of the difference of the two numbers (always works)
Adding the absolute value of the two numbers works SOMETIMES but not always... so be careful if you want to use this
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
My Responsibilities
Due 9/11
1. In your notebook, make meaningful notes for your forgetful selves
2. CYUqs → Do in your notebook. You chose where you want to start. Check answers as you’re working. If you make a mistake, fix it. If you need help, get help. If someone else needs help, give help.
A. Graph 13 and 6 on a number line. Count to find the distance (d) between the two numbers. Then subtract to show that your answer is correct.
B. Graph 36 and 24 on a number line. Count to find the distance (d) between the two numbers. Then subtract to show that your answer is correct.
C. Graph 7 and -2 on a number line. Count to find the distance (d) between the two numbers. Then subtract to show that your answer is correct.
D. Graph -8 and 5 on a number line. Count to find the distance (d) between the two numbers. Then subtract to show that your answer is correct.
E. Graph -7 and -1 on a number line. Count to find the distance (d) between the two numbers. Then subtract to show that your answer is correct.
F. Graph -5 and -13 on a number line. Count to find the distance (d) between the two numbers. Then subtract to show that your answer is correct.
3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search
Lesson 3
After completing the Check-your-understanding Questions, which were important for everyone to do?
On the blank side, write: First name, last name, U2T2
Graph 6 and -4 on a number line. Then find the distance between the two numbers. Write d=
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
Do the following two problems in your notebook:
1. Graph 15 and 8 on a number line. Then find the distance (d) between the two whole numbers.
2. Graph 3 and -5 on a number line. Then find the distance (d) between the two whole numbers.
Discussion
Notes
To find distance:
We can count spaces (always works)
Subtract and find the absolute value of the difference of the two numbers (always works)
Adding the absolute value of the two numbers works SOMETIMES but not always... so be careful if you want to use this
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
My Responsibilities
Due 9/11
1. In your notebook, make meaningful notes for your forgetful selves
2. CYUqs → Do in your notebook. You chose where you want to start. Check answers as you’re working. If you make a mistake, fix it. If you need help, get help. If someone else needs help, give help.
A. Graph 13 and 6 on a number line. Count to find the distance (d) between the two numbers. Then subtract to show that your answer is correct.
B. Graph 36 and 24 on a number line. Count to find the distance (d) between the two numbers. Then subtract to show that your answer is correct.
C. Graph 7 and -2 on a number line. Count to find the distance (d) between the two numbers. Then subtract to show that your answer is correct.
D. Graph -8 and 5 on a number line. Count to find the distance (d) between the two numbers. Then subtract to show that your answer is correct.
E. Graph -7 and -1 on a number line. Count to find the distance (d) between the two numbers. Then subtract to show that your answer is correct.
F. Graph -5 and -13 on a number line. Count to find the distance (d) between the two numbers. Then subtract to show that your answer is correct.
3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search
Lesson 3
After completing the Check-your-understanding Questions, which were important for everyone to do?
On the blank side, write: First name, last name, U2T2
Graph 6 and -4 on a number line. Then find the distance between the two numbers. Write d=