1) The document contains notes from a math lesson on conditional statements and deductive reasoning. It includes examples of identifying the hypothesis and conclusion of conditional statements and finding counterexamples. 2) Students have upcoming assignments - completing problems #3-39 in their workbook due the next day, a checkpoint due the following day, and a chapter test the day after. 3) The lesson defines conditional statements, hypothesis, conclusion, deductive reasoning, and counterexamples. It provides practice identifying these components in examples and finding counterexamples to disprove conditional statements.

1. Lesson 1­8.notebook August 27, 2013
Assignment:
1­­>L1.8, pg. 56­57, #3­39 (thirds) ­ Due Tomorrow [8/28]
2­­>Checkpoint 1.5­1.7 ­ Due Thursday [8/29]
3­­>Chapter 1 Test ­ Friday (8/30)

2. Lesson 1­8.notebook August 27, 2013
Lesson 1.8 WarmUp:
1) Evaluate: (­5)3
2) Is the relation a function? Explain.
{(0, 2), (3, 5), (0, ­1), (­2, 4)}
3) Write a verbal expression for 4y + 2
Solve each equation ­ show all steps!
4) 6x + (3 10 ­ 8) = (2 3)x + 22
5) 6(a + 5) = 42

3. Lesson 1­8.notebook August 27, 2013
Lesson 1.8:
*conditional statement­­>a statement that can be written in the form:
"If A, then B". [also called if­then statements]
ex­­>"If an insect is a butterfly, then it was a caterpillar"
*hypothesis ­­>the part of the statement immediately following the "IF"
*conclusion ­­>the part of the statement immediately following the
"THEN"

4. Lesson 1­8.notebook August 27, 2013
FYI...If a conditional statement is true, the hypothesis doesn't
always have to be true.
i.e....If Sam plays air hockey, then he is at an arcade.
But...just because Sam is at an arcade,
does not mean that he plays air hockey.
*deductive reasoning ­>the process of using facts, rules, definitions,
or properties to reach a valid conclusion
*counterexample ­>a specific case in which the hypothesis is true
and the conclusion is false

5. Lesson 1­8.notebook August 27, 2013
Lesson 1.8 examples:
Identify the hypothesis and conclusion of each statement.
A) If we have enough sugar, then we will make cookies.
h ­>we have enough sugar
c ­>we will make cookies
B) if 16x ­ 5 = 43, then x = 3
h ­>16x ­ 5 = 43
c ­>x = 3

6. Lesson 1­8.notebook August 27, 2013
Identify the hypothesis and conclusion of each statement. Then write each
statement in "if­then" form.
C) The neon light is on when the store is open.
h ­>the store is open
c ­>the neon light is on
if­then ­>If the store is open, then the neon light is on
D) A circle with a radius of w ­ 4 has a circumference of 2 (w ­ 4)
h ­>a circle with a radius of w ­ 4
c ­>has a circumference of 2 (w ­ 4)
if­then ­>If a circle has a radius of w ­ 4, then it has a
circumference of 2 (w ­ 4)

7. Lesson 1­8.notebook August 27, 2013
Determine a valid conclusion from the statement: "If one number is
negative and another is positive, then their product must be
negative". If a valid conclusion doesn't follow, write no valid
conclusion and explain.
E) the numbers are ­3 and 4
one is negative and one is positive, so the hypothesis is true...
their product is ­12, so the conclusion is also true.
F) the product is 10
the product is positive, so the conclusion is not true...therefore
there is no valid conclusion.

8. Lesson 1­8.notebook August 27, 2013
Find a counterexample for each conditional statement.
G) if ab >0, then a and b are greater than 0.
(­5)(­3) is greater than 0, but neither of those are greater than 0
H) If a clothing store is selling wool coats, then it must be December.
The store could be selling coats in September...to prepare for
cold weather in December.