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Math Models
Bellringer: (On a half sheet)
Write the following statement in if-then form.
Vertical angles are congruent.
Math Models
Bellringer: (On a half sheet)
Write the following statement in if-then form.
Vertical angles are congruent.
Review: Identify the hypothesis, identify the
conclusion, write the converse, write the
inverse, and write the contrapositive of the
following conditional statements:
1. If you live in Dallas, then you live in Texas.
Conv:
Inv:
Contra:

2. Four angles are formed if two lines
intersect.
Conv:
Inv:
Review: Identify the hypothesis, identify the
conclusion, write the converse, write the
inverse, and write the contrapositive of the
following conditional statements:
1. If you live in Dallas, then you live in Texas.
Conv:
Inv:
Contra:

2. Four angles are formed if two lines
intersect.
Conv:
Inv:
Warm UP: discuss the following questions
with someone
What do you notice about the relationship
between the leading coefficient of a
function and its end behavior?
What do you notice about the relationship
between the degree of the function and its
end behavior? (hint - look at even and
odd)
What do you notice about the relationship
between the degree of a function and the
number of bends in the function?
Notes: Rules for Ends and Bends
Quiz over this on WED!!
If the leading coefficient is positive; the right
side of the function points up ; if the leading
coefficient is negative the right side of the
function points down

. (think x2 and -x2)

If the degree of the function is even, both ends
point the same way. If the degree of the
function is odd, ends point different directions.
(think x2 and x3)
The number of bends in a function is never
more than the degree minus one. It can be
Try it!!
Show me the end behavior of these leading coefficients:

2x ... + 4
2

-5x ... + 2x
4

3

6x7 ... - 5x
-7x6 ... - 9
8x ... + 3x
3

2
Try it!!
Show me the end behavior of these leading coefficients:

2x ... + 4
2

-5x ... + 2x
4

3

6x7 ... - 5x
-7x6 ... - 9
8x ... + 3x
3

2
1 28-14
1 28-14

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1 28-14

  • 1. Math Models Bellringer: (On a half sheet) Write the following statement in if-then form. Vertical angles are congruent.
  • 2. Math Models Bellringer: (On a half sheet) Write the following statement in if-then form. Vertical angles are congruent.
  • 3. Review: Identify the hypothesis, identify the conclusion, write the converse, write the inverse, and write the contrapositive of the following conditional statements: 1. If you live in Dallas, then you live in Texas. Conv: Inv: Contra: 2. Four angles are formed if two lines intersect. Conv: Inv:
  • 4. Review: Identify the hypothesis, identify the conclusion, write the converse, write the inverse, and write the contrapositive of the following conditional statements: 1. If you live in Dallas, then you live in Texas. Conv: Inv: Contra: 2. Four angles are formed if two lines intersect. Conv: Inv:
  • 5. Warm UP: discuss the following questions with someone What do you notice about the relationship between the leading coefficient of a function and its end behavior? What do you notice about the relationship between the degree of the function and its end behavior? (hint - look at even and odd) What do you notice about the relationship between the degree of a function and the number of bends in the function?
  • 6. Notes: Rules for Ends and Bends Quiz over this on WED!! If the leading coefficient is positive; the right side of the function points up ; if the leading coefficient is negative the right side of the function points down . (think x2 and -x2) If the degree of the function is even, both ends point the same way. If the degree of the function is odd, ends point different directions. (think x2 and x3) The number of bends in a function is never more than the degree minus one. It can be
  • 7. Try it!! Show me the end behavior of these leading coefficients: 2x ... + 4 2 -5x ... + 2x 4 3 6x7 ... - 5x -7x6 ... - 9 8x ... + 3x 3 2
  • 8. Try it!! Show me the end behavior of these leading coefficients: 2x ... + 4 2 -5x ... + 2x 4 3 6x7 ... - 5x -7x6 ... - 9 8x ... + 3x 3 2