Download Day 2- Inductive Reasoning Practice

Writing Conjectures
1. Complete the conjecture based on the examples:
Examples: 3 5  _____
7 3  _____
9  1  _____
11  3  ____
The product of two odd numbers is _____________________________________________
2. Make up three examples and then complete the conjecture:
The sum of an even number and an odd number is __________________.
Examples: _________________, ___________________, ___________________
3. Complete the conjecture:
The product of an even number and an odd number is __________________.
Writing Conjectures
1. Complete the conjecture based on the examples:
Examples: 3 5  _____
7 3  _____
9  1  _____
11  3  ____
The product of two odd numbers is _____________________________________________
2. Make up three examples and then complete the conjecture:
The sum of an even number and an odd number is __________________.
Examples: _________________, ___________________, ___________________
3. Complete the conjecture:
The product of an even number and an odd number is __________________.
Counterexamples
Show that each conjecture is false by finding a counterexample.
4. Supplementary angles are adjacent. (You may draw a picture).
5. The sum of two odd numbers is odd.
6. The product of two even numbers is positive.
7. Kennedy is the youngest U.S. president to be inaugurated.
Counterexamples
Show that each conjecture is false by finding a counterexample.
4. Supplementary angles are adjacent. (You may draw a picture).
5. The sum of two odd numbers is odd.
6. The product of two even numbers is positive.
7. Kennedy is the youngest U.S. president to be inaugurated.
Conjectures about Patterns
8. Complete the table. Then, find the algebraic rule that fits the pattern.
Step (n)
1
2
Blocks (f(n))
1
3
3
4
5
6
The function rule for this pattern is__________________.
9.
Step (n)
1
2
Squares (f(n))
5
9
3
4
5
6
3
4
5
6
The function rule for this pattern is ______________.
10.
Lines (n)
1
2
Regions (f(n))
2
3
The function rule for this pattern is _________________.
Function Bank
f ( n)  4n  1
f ( n)  2n  1
f ( n)  2n  1