Download Chapter 1.1 Patterns and Inductive Reasoning.notebook

Chapter 1.1 Patterns and Inductive Reasoning.notebook
September 04, 2014
DIRT
1. √48
2. 5
2 + (8-2) x 3
3. Graph y = -2x + 6
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Chapter 1.1 Patterns and Inductive Reasoning.notebook
September 04, 2014
1.1 Patterns and Inductive Reasoning
Objective: To use inductive reasoning to make conjectures
A.1.B.
Performance Standard 1.6, 3.4, 3.5 DOK­1, 2
Knowledge MA 3
Key vocabulary: inductive reasoning, conjectures, counterexamples
Here is a list of the counting numbers: 1, 2, 3, 4, 5, . . .
Some are even and some are odd.
1. Make a list of the positive even numbers.
2. Make a list of the positive odd numbers. 3. Copy and extend this list to show the first 10 perfect squares.
12 = 1, 22 = 4
32 = 9
42 = 16, . . .
4. Which do you think describes the square of any odd number?
It is odd. It is even.
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Chapter 1.1 Patterns and Inductive Reasoning.notebook
September 04, 2014
Find a pattern for the sequence. Use the pattern to show the next two terms in the sequence.
384, 192, 96, 48, …
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Chapter 1.1 Patterns and Inductive Reasoning.notebook
September 04, 2014
Find the next two numbers in each sequence and explain in words the pattern.
1) 3, 6, 12, 24, ...____, ____,...
___________________
2) 100, 50, 25, 12.5, _____, _____,.... _______________
3) 1, 2, 4, 7, 11, _____, _____, ... ___________________
4) 7, 77, 777, 7777, _______, ______, ... _____________
5) 1, 1/3, 1/9, 1/27, _____, _____, ... _________________
6) 1, 4, 9, 16, _____, _____, ... _________________
7) 1, 1/9, 1/25, 1/49, ______, _____,... _______________
Homework: Complete #1-12 on Wksh
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Chapter 1.1 Patterns and Inductive Reasoning.notebook
September 04, 2014
Examples:
Find the next two shapes in each sequence and explain the pattern in words.
8) _______________, _______________
Pattern: __________________________________________
9) _______________, _______________
Pattern: __________________________________________
Assignment: Complete 13-19 on Wksh
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Chapter 1.1 Patterns and Inductive Reasoning.notebook
September 04, 2014
Assignment: Lesson 1­1 Patterns and Reasoning
Complete the pattern and describe the pattern in words.
1. 5, 10, 20, 40, ________, __________ Pattern: __________________________________________
2. 3,33,333,3333, ________, _________ Pattern: __________________________________________
3. 1, ­1, 2, ­2, 3, __________, __________ Pattern: ________________________________________
4. 1, 1/2, 1/4, 1/8, ________, _________ Pattern: __________________________________________
5. 15, 12, 9, 6, _________, ___________ Pattern: _________________________________________
6. 81, 27, 9, 3, __________, __________ Pattern: _________________________________________
7. O, T, T, F, F, S, S, E, _______, _______ Pattern: _______________________________________
8. J, F, M, A, M, ________, __________ Pattern: _________________________________________
9. 1,2,6,24, 120, _________, ___________ Pattern: ______________________________________
10. 2, 4, 8, 16, 32, _________, __________ Pattern: _______________________________________
11. 1, 1/4, 1/9, 1/16, 1/25, __________, __________ Pattern: ________________________________
12. 1, 1/2, 1/3, 1/4, _________, _____________ Pattern: ____________________________________ 6
Chapter 1.1 Patterns and Inductive Reasoning.notebook
September 04, 2014
13. , , , ________________________
Pattern: __________________________________________________________________
14. , , , _________________________
Pattern: ___________________________________________________________________
15. 1,3,7,13, 21, __________, _________ Pattern: _______________________________________
16. 1,2,5,6,9, __________, ___________ Pattern: ________________________________________
17. 0.1, 0.01, 0.001, __________, ___________ Pattern: __________________________________
18. 2,6,7,21,22,66,67, __________, __________ Pattern: __________________________________
19. , , , __________________________
Pattern: _______________________________________________________________________ 7