3.3 notes a
TRANSCRIPT
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Refer to the coordinate graph on the left and answer the following questions:
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?
Opener:
Complete these questions on a half sheet of paper to be turned in.
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Homework Questions:
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Day 32: 3.3 Distance and Absolute Value
Launch:
Finding the distance between 2 points.
Work with your partner to find the distance between each pair of points. (*Hint: A good starting place is to sketch the points on a graph).
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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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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Now try these individually and then check your answers with your partner. ( 4 minutes)
1. (‐6) ‐ 0 2. (‐2) ‐ 6
3. 4 ‐ 10 4. (‐3) ‐ (‐5)
Does 8 + 10 represent a distance? How can you rewrite to look more similar to the other absolute value problems?
Calculating Absolute Value:
Developing Habits of Mind:
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Absolute Value Made Simple:
The absolute value of a number x is.....
Describing Absolute Value Algebraically:
x, if x ≥ 0 x =
‐x, if x ≤ 0{
Sovling Equations with Absolute Value
Solve x ‐ 3 = 5.
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Solving Equations with Absolute Value
Solve the following two equations with your partner.
a. x + 7 = 10 b. x + 7 = ‐ 10
Facts and Notation:± Notation
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Minds in Action:
Turn to Pg. 206.
A
BC
Use the Pythagorean Theorem to help Derman find the distance between (‐1, 1) and ( 3, ‐2).
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Homework: Pg. 208 # 8‐12 and 14‐15
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