Inductive and Deductive Reasoning
Exploration #1 - Writing a Conjecture
Use the patterns shown to write a conjecture about how it appears.
Then, use your conjecture to draw the 10th object in the pattern.
Describe the 10th object in each of the patterns.
a. b. c.
Exploration #2 - Using a Venn Diagram
Use the Venn diagram to determine whether the statement is true or false. Justify your answer. Assume that no region of the Venn diagram is empty.
a.
If an item have Property B, then it has Property A
b.
If an item have Property A, then it has Property B
c.
If an item have Property A, then it has Property C
d.
Some items that have Property A, do not have Property B
e,
If an item has Property C, then it does not have Property B
f.
Some items have both Properties A and C
g.
Some items have both Properties B and C
Exporation #3 - Reasoning and Venn Diagrams
Draw a Venn diagram that shows the relationship between different types of QUADRILATERALS:
Squares, Rectangles, Parallelograms, Trapezoids, Rhombuses, and Kites.
Write a few conditional statements (like above in #2) that can be shown in your diagram.
example: "If a quadrilateral is a square, then it is a rectangle"
SUMMARIZE - COMMUNICATE
How can you use reasoning to solve problems? (not just math problems)