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2.1.Inductive Reasoning 
HW pg. 75 #3­17 
September 04, 2014 
BELL 
WORK
2.1.Inductive Reasoning 
HW pg. 75 #3­17 
September 04, 2014 
2-1 Inductive Reasoning 
Objectives: 
1. Describe patterns 
2. Use inductive reasoning to find the next term in a number or picture pattern. 
Draw the next 2 figures in the sequence below:
2.1.Inductive Reasoning 
HW pg. 75 #3­17 
September 04, 2014
2.1.Inductive Reasoning 
Conjecture: an unproven statement that is based on observation 
Make a conjecture about the rule for the sequence below & find the next 2 terms: 
5, 10, 15, 20, __, __ 
HW pg. 75 #3­17 
September 04, 2014 
You can add 5 to the last number to 
get the next number in the sequence; 
25, 30 
Make a conjecture about the rule for the sequence below & find the next 2 terms: 
1, ­1 
, 
3 
1, 
9 
­1 
27 
, __, __ 
What is inductive reasoning? 
reaching a conclusion based on a pattern discovered through observation 
Multiply by -1/3 to get the 
next number in the sequence; 
1/81, -1/243
2.1.Inductive Reasoning 
HW pg. 75 #3­17 
September 04, 2014
2.1.Inductive Reasoning 
Counterexample: a specific case when the conjecture is false 
HW pg. 75 #3­17 
September 04, 2014 
The past 5 times that you have walked across your carpet barefoot and then touch the 
door knob on the front door you were shocked. 
a) What conclusion might you make about the next time you walk across 
the floor barefoot and touch the door knob? 
b) What counterexample would you need to find to disprove this 
conclusion?
2.1.Inductive Reasoning 
HW pg. 75 #3­17 
September 04, 2014
2.1.Inductive Reasoning 
HW pg. 75 #3­17 
September 04, 2014
2.1.Inductive Reasoning 
HW pg. 75 #3­17 
September 04, 2014 
Homework 
pg. 75 
#3-17

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2.1 notes

  • 1. 2.1.Inductive Reasoning HW pg. 75 #3­17 September 04, 2014 BELL WORK
  • 2. 2.1.Inductive Reasoning HW pg. 75 #3­17 September 04, 2014 2-1 Inductive Reasoning Objectives: 1. Describe patterns 2. Use inductive reasoning to find the next term in a number or picture pattern. Draw the next 2 figures in the sequence below:
  • 3. 2.1.Inductive Reasoning HW pg. 75 #3­17 September 04, 2014
  • 4. 2.1.Inductive Reasoning Conjecture: an unproven statement that is based on observation Make a conjecture about the rule for the sequence below & find the next 2 terms: 5, 10, 15, 20, __, __ HW pg. 75 #3­17 September 04, 2014 You can add 5 to the last number to get the next number in the sequence; 25, 30 Make a conjecture about the rule for the sequence below & find the next 2 terms: 1, ­1 , 3 1, 9 ­1 27 , __, __ What is inductive reasoning? reaching a conclusion based on a pattern discovered through observation Multiply by -1/3 to get the next number in the sequence; 1/81, -1/243
  • 5. 2.1.Inductive Reasoning HW pg. 75 #3­17 September 04, 2014
  • 6. 2.1.Inductive Reasoning Counterexample: a specific case when the conjecture is false HW pg. 75 #3­17 September 04, 2014 The past 5 times that you have walked across your carpet barefoot and then touch the door knob on the front door you were shocked. a) What conclusion might you make about the next time you walk across the floor barefoot and touch the door knob? b) What counterexample would you need to find to disprove this conclusion?
  • 7. 2.1.Inductive Reasoning HW pg. 75 #3­17 September 04, 2014
  • 8. 2.1.Inductive Reasoning HW pg. 75 #3­17 September 04, 2014
  • 9. 2.1.Inductive Reasoning HW pg. 75 #3­17 September 04, 2014 Homework pg. 75 #3-17