1. 1-4 Inductive reasoning
Homework:
4-6, 10-14, 19-22

2. In this Chapter I can…
1-1: Use correct notation and add segments and angles
1-2: Use a compass to draw basic constructions
1-3: Calculate distances and midpoints
1-4: Use inductive reasoning identify patterns, make predictions, and create counterexamples
1-5: Write if-then conditional statements
1-6: Use deductive reasoning to draw conclusions from conditional statements
1-7: Write a proof

3. 5 6 1 8 3 2 7 4 Draw a circle! Draw a point anywhere on the circle.
Count how many regions are in the circle.
Draw another point anywhere on the circle.
Draw a line to connect all the dots with each other.
Repeat steps 2-4. 6 1 8 3 2 7
How many regions will there be with 6 dots?
How does the number of regions change when you add points? 4

4. vocabulary
Inductive Reasoning: a type of reasoning that reaches conclusions based on a pattern of specific example or past events

5. Examples
Find the next 2 terms
3, 5, 9, 15, 23…
2, 3, 5, 9, 17…
33, 45
33, 65

6. examples
𝑛 2 +𝑛
𝑛(𝑛+1)
Term
𝑛 2 +𝑛−1
Term

7. Vocabulary Conjecture: a rule that is based on inductive reasoning
Counterexample: an example that shows a conjecture is false

8. Example
Conjecture – A polygon with diagonals has 2 fewer diagonals than sides. Can you find a counterexample?