Ch 1.1 Notes
August 31, 2016
Chapter 1.1 Making Conjectures and Inductive Reasoning
Objective:
1.1 Make conjectures by observing patterns and
identifying properties, and justify the reasoning.
1
Ch 1.1 Notes
August 31, 2016
Examples of Inductive Reasoning
Conjecture: an educated guess based on observation.
Study the diagrams below and make a conjecture about the number of little triangles that would be in figure 100. You are making a statement based on examples. This is inductive reasoning.
1
2
3
Make a conjecture about the product of two integers.
2
Ch 1.1 Notes
August 31, 2016
Make a conjecture about the difference of two perfect squares.
Make a conjecture about the shape that is created by joining the midpoints of adjacent sides in any quadrilateral.
3
Ch 1.1 Notes
August 31, 2016
Make a conjecture about the opposite angles formed when two lines intersect.
Inductive Reasoning:
1. Look at some examples
2. Make an educated guess called a conjecture
4
Ch 1.1 Notes
August 31, 2016
Examine the pattern in the addition and their sums. What conjecture can you make?
1 + 3 = 4
3 + 5 = 8
5 + 7 = 12
7 + 9 = 16
Make a conjecture about the answer when two odd squares are subtracted.
5
Ch 1.1 Notes
August 31, 2016
6