1 1 Patterns and Inductive Reasoning Inductive Reasoning
![1. 1 Patterns and Inductive Reasoning 1. 1 Patterns and Inductive Reasoning](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-1.jpg)
![Inductive Reasoning • Watching weather patterns develop help forcasters… • Predict weather. . • Inductive Reasoning • Watching weather patterns develop help forcasters… • Predict weather. . •](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-2.jpg)
![Patterns & Inductive Reasoning • In Geometry, we will • Study many patterns… • Patterns & Inductive Reasoning • In Geometry, we will • Study many patterns… •](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-3.jpg)
![Visual Patterns • Can you predict and sketch the next figure in these patterns? Visual Patterns • Can you predict and sketch the next figure in these patterns?](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-4.jpg)
![Number Patterns • Describe a pattern in the number sequence and predict the next Number Patterns • Describe a pattern in the number sequence and predict the next](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-5.jpg)
![Using Inductive Reasoning • Look for a Pattern • (Looks at several examples…use pictures Using Inductive Reasoning • Look for a Pattern • (Looks at several examples…use pictures](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-6.jpg)
![How do you know your conjecture is True or False? • To prove a How do you know your conjecture is True or False? • To prove a](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-7.jpg)
![Decide if this conjecture is TRUE or FALSE. • All people over 6 feet Decide if this conjecture is TRUE or FALSE. • All people over 6 feet](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-8.jpg)
![Sketch the next figure in the pattern…. Sketch the next figure in the pattern….](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-9.jpg)
![How many squares are in the next figure? How many squares are in the next figure?](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-10.jpg)
![Mixed Review Mixed Review](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-11.jpg)
![Mixed Review (-2, 1) (4, 0) (3, -2) (-1, -3) Mixed Review (-2, 1) (4, 0) (3, -2) (-1, -3)](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-12.jpg)
![Assignment 1. 1 Assignment 1. 1](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-13.jpg)
- Slides: 13
![1 1 Patterns and Inductive Reasoning 1. 1 Patterns and Inductive Reasoning](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-1.jpg)
1. 1 Patterns and Inductive Reasoning
![Inductive Reasoning Watching weather patterns develop help forcasters Predict weather Inductive Reasoning • Watching weather patterns develop help forcasters… • Predict weather. . •](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-2.jpg)
Inductive Reasoning • Watching weather patterns develop help forcasters… • Predict weather. . • They recognize and… • Describe patterns. • They then try to make accurate predictions based on the patterns they discover. • Inductive reasoning – reasoning from detailed facts to general principles
![Patterns Inductive Reasoning In Geometry we will Study many patterns Patterns & Inductive Reasoning • In Geometry, we will • Study many patterns… •](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-3.jpg)
Patterns & Inductive Reasoning • In Geometry, we will • Study many patterns… • Some discovered by others…. • Some we will discover… • And use those patterns to make accurate predictions
![Visual Patterns Can you predict and sketch the next figure in these patterns Visual Patterns • Can you predict and sketch the next figure in these patterns?](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-4.jpg)
Visual Patterns • Can you predict and sketch the next figure in these patterns?
![Number Patterns Describe a pattern in the number sequence and predict the next Number Patterns • Describe a pattern in the number sequence and predict the next](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-5.jpg)
Number Patterns • Describe a pattern in the number sequence and predict the next number.
![Using Inductive Reasoning Look for a Pattern Looks at several examplesuse pictures Using Inductive Reasoning • Look for a Pattern • (Looks at several examples…use pictures](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-6.jpg)
Using Inductive Reasoning • Look for a Pattern • (Looks at several examples…use pictures and tables to help discover a pattern) • Make a conjecture. • (A conjecture is an unproven “statement” based on observation…it might be right or wrong…discuss it with others…make a new conjecture if necessary)
![How do you know your conjecture is True or False To prove a How do you know your conjecture is True or False? • To prove a](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-7.jpg)
How do you know your conjecture is True or False? • To prove a conjecture is TRUE, you need to prove it is ALWAYS true (not always so easy!) • To prove a conjecture is FALSE, you need only provide a SINGLE counterexample. • A counterexample is an example that shows a conjecture is false.
![Decide if this conjecture is TRUE or FALSE All people over 6 feet Decide if this conjecture is TRUE or FALSE. • All people over 6 feet](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-8.jpg)
Decide if this conjecture is TRUE or FALSE. • All people over 6 feet tall are good basketball players. • This conjecture is false (there are plenty of counterexamples…even here at CHS) • A full moon occurs every 29 or 30 days. • This conjecture is true. The moon revolves around Earth once approximately every 29. 5 days.
![Sketch the next figure in the pattern Sketch the next figure in the pattern….](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-9.jpg)
Sketch the next figure in the pattern….
![How many squares are in the next figure How many squares are in the next figure?](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-10.jpg)
How many squares are in the next figure?
![Mixed Review Mixed Review](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-11.jpg)
Mixed Review
![Mixed Review 2 1 4 0 3 2 1 3 Mixed Review (-2, 1) (4, 0) (3, -2) (-1, -3)](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-12.jpg)
Mixed Review (-2, 1) (4, 0) (3, -2) (-1, -3)
![Assignment 1 1 Assignment 1. 1](https://slidetodoc.com/presentation_image/3309551d22e2e71606d412557cfbc680/image-13.jpg)
Assignment 1. 1
Patterns and inductive reasoning
Lesson 2-1 patterns and inductive reasoning answers
Lesson 2-2 deductive reasoning
Patterns and inductive reasoning 2-1
Practice 1-1 patterns and inductive reasoning
2-1 patterns and inductive reasoning worksheet
Deductive vs inductive reasoning
Inductive and deductive reasoning
Common patterns of inductive reasoning
Inductive reasoning number patterns
Inductive reasoning moves from
Example of a deductive argument
Deductive reasoning examples
Deductive vs inductive geometry