lesson 2-2
Post on 30-Dec-2015
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Ohio Content Standards:
Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others.
Ohio Content Standards:
Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof.
Ohio Content Standards:
Generalize and explain patterns and sequences in order to find the next term and the nth term.
ConjunctionCompound statement
formed by joining two or more statements with the word and.
p ^ q reads p and q
Use the following statements to write a compound statement for each conjunction. Then find its
truth value.
Use the following statements to write a compound statement for each conjunction. Then find its
truth value.
p: p: One foot is 14 inches.One foot is 14 inches.
q:q: September has 30 days. September has 30 days.
r:r: A plane is defined by three A plane is defined by three noncollinear points.noncollinear points.
Use the following statements to write a compound statement for each conjunction. Then find its
truth value.
p: p: One foot is 14 inches.One foot is 14 inches.
q:q: September has 30 days. September has 30 days.
r:r: A plane is defined by three A plane is defined by three noncollinear points.noncollinear points.
p p and and qq
Use the following statements to write a compound statement for each conjunction. Then find its
truth value.
p: p: One foot is 14 inches.One foot is 14 inches.
q:q: September has 30 days. September has 30 days.
r:r: A plane is defined by three A plane is defined by three noncollinear points.noncollinear points.
r r ^ pp
Use the following statements to write a compound statement for each conjunction. Then find its
truth value.
p: p: One foot is 14 inches.One foot is 14 inches.
q:q: September has 30 days. September has 30 days.
r:r: A plane is defined by three A plane is defined by three noncollinear points.noncollinear points.
~~q q ^ rr
Use the following statements to write a compound statement for each conjunction. Then find its
truth value.
p: p: One foot is 14 inches.One foot is 14 inches.
q:q: September has 30 days. September has 30 days.
r:r: A plane is defined by three A plane is defined by three noncollinear points.noncollinear points.
~~p p ^ rr
DisjunctionCompound statement
formed by joining two or more statements with the word or.
p q reads p or q
Use the following statements to write a compound statement for each disjunction. Then find its
truth value.
Use the following statements to write a compound statement for each disjunction. Then find its
truth value.
p: p: AB is proper notation for AB is proper notation for ““line Aline ABB ””..
q:q: Centimeters are metric units. Centimeters are metric units.
r:r: 9 is a prime number. 9 is a prime number.
Use the following statements to write a compound statement for each disjunction. Then find its
truth value.
p: p: AB is proper notation for AB is proper notation for ““line Aline ABB ””..
q:q: Centimeters are metric units. Centimeters are metric units.
r:r: 9 is a prime number. 9 is a prime number.
p p or or qq
Use the following statements to write a compound statement for each disjunction. Then find its
truth value.
p: p: AB is proper notation for AB is proper notation for ““line ABline AB””..
q:q: Centimeters are metric units. Centimeters are metric units.
r:r: 9 is a prime number. 9 is a prime number.
q q rr
The Venn diagram shows the number of students enrolled in Monique’s Dance
School for tap, jazz, and ballet classes.
Tap 28
Jazz43
29Ballet
17 25
13
9
The Venn diagram shows the number of students enrolled in Monique’s Dance
School for tap, jazz, and ballet classes.
• How many students are How many students are enrolled in all three classes?enrolled in all three classes?
Tap 28
Jazz43
29Ballet
17 25
13
9
The Venn diagram shows the number of students enrolled in Monique’s Dance
School for tap, jazz, and ballet classes.
• How many students are How many students are enrolled in tap or ballet?enrolled in tap or ballet?
Tap 28
Jazz43
29Ballet
17 25
13
9
The Venn diagram shows the number of students enrolled in Monique’s Dance
School for tap, jazz, and ballet classes.
• How many students are enrolled How many students are enrolled in jazz and ballet and not tap?in jazz and ballet and not tap?
Tap 28
Jazz43
29Ballet
17 25
13
9
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