Download SB Enr Geom 1-1 Completed.notebook

SB Enr Geom 1­1 Completed.notebook
September 12, 2012
Geometry
with Mr. Forbes
Aug 15­1:50 PM
Intro Question
How do you define geometry?
Geometry ­ the study of the mathematical properties of shapes
Aug 15­1:54 PM
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SB Enr Geom 1­1 Completed.notebook
September 12, 2012
Lesson 1­1 Patterns and inductive reasoning
Inductive reasoning ­ reasoning that is based on patterns you observe
Expl 1. Find a pattern in the sequence. Predict the next two terms.
a. 3, 6, 12, 24, ...
b.
Aug 15­1:55 PM
Checkpoint 1. Write the next two terms in each sequence.
a. 1, 2, 4, 7, 11, 16, 22, ...
b. Monday, Tuesday, Wednesday, ...
c.
Aug 15­2:15 PM
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SB Enr Geom 1­1 Completed.notebook
September 12, 2012
Conjecture ­ a conclusion you reach using inductive reasoning
Expl 2. Make a conjecture about the sum of the first 30 odd numbers.
1 = 1 = 1 2
1 + 3 = 4 = 2 2
1 + 3 + 5 = 9 = 3 2
1 + 3 + 5 + 7 = 16 = 4 2
Conjecture = Aug 15­2:12 PM
Checkpoint 2. Make a conjecture about the sum of the first 35 odd numbers. Use your calculator to verify your conjecture.
Extra 3 The first three odd prime numbers are 3, 5, and 7. Make a conjecture about the fourth odd prime number.
What can we say about this conjecture?
Aug 15­2:18 PM
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SB Enr Geom 1­1 Completed.notebook
September 12, 2012
counterexample ­ an example for which the conjecture is incorrect
Example 3 ­ in your book
Checkpoint 3. Some products have 5 as a factor, as shown. Make two conjectures based on these products, one that you believe is true and one that you know is false.
5 x 3 = 15
5 x 7 = 35
5 x 9 = 45
5 x 25 = 125
5 x 11 = 55 5 x 13 = 65
Aug 19­7:14 PM
Example 4 in your book.
a. Make a conjecture about the number of small­wheeled skateboards the shop will sell in July.
b. How confident would you be in using the graph to make a conjecture about sales in December? Explain.
Aug 19­7:18 PM
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SB Enr Geom 1­1 Completed.notebook
September 12, 2012
Homework
Lesson 1­1
Problems 1­12, 17­30, 42­46, 52, 54
Aug 19­7:20 PM
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