1. Opener: Refer to the coordinate graph on the left and answer the
following questions:
Do in your notes.
1.) Where can you find a point whose x‐coordinate is
negative? positive? zero?
2.) Where can you find a point whose y‐coordinate is
negative? positive? zero?
3.) Where can you find a point whose x‐coordinate is 8?
4.) Where can you find a point whose y‐coordinate is ‐6?
5.) Where can you find a point whose y‐coordinate is less
than its x‐coordinate?
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2. Homework
Questions:
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3. Day 32: 3.3 Distance and Absolute Value
Launch: Work with your partner to find the distance between
each pair of points. (*Hint: A good starting place is to
Finding the distance sketch the points on a graph).
between 2 points.
1. (‐1, ‐3) and (4, ‐3) 2. (‐1, ‐3) and (‐1, 9)
3. (2, 1) and (‐3, 1) 4. (2, 1) and (2, ‐16)
How did you calculate the distance above?
What is the easiest way to calculate distance
between two numbers?
** Distance is always ______________.
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4. Defining Absolute
Value: The absolute value of (x ‐ y) is the _____________
between the numbers x and y.
• Commonly written in the form:
Consider the following examples.
a.) 8 ‐ 3 and 3 ‐ 8
b.) 1 ‐ (‐ 5) = 6 and ‐ 5 ‐ 1 = 6
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5. Calculating Now try these individually and then check your
Absolute Value: answers with your partner. ( 4 minutes)
1. (‐6) ‐ 0 2. (‐2) ‐ 6
3. 4 ‐ 10 4. (‐3) ‐ (‐5)
Developing Habits Does 8 + 10 represent a distance? How can you
of Mind: rewrite to look more similar to the other absolute
value problems?
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6. Absolute Value The absolute value of a number x is.....
Made Simple:
Describing Absolute
Value Algebraically: x =
{
x, if x ≥ 0
‐x, if x ≤ 0
Sovling Equations Solve x ‐ 3 = 5.
with Absolute Value
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7. Solving Equations Solve the following two equations with your
with Absolute Value partner.
a. x + 7 = 10 b. x + 7 = ‐ 10
Facts and Notation:
± Notation
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8. Minds in Action:
Turn to Pg. 206.
A
C B
Use the Pythagorean Theorem to help Derman find
the distance between (‐1, 1) and ( 3, ‐2).
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9. Homework: Pg. 208 # 8‐12 and 14‐15
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10. 10