1. Chapter 2 Calendar (reworked from original schedule)
8/24
Ch 2-1
Ch 2-3
8/31
Staff Collaboration
Rev 3
Ch 2-5
Rev 5
Ch 2-6
Rev 6
9/7
Back To School Night
Labor Day
Ch 2-7
Rev 7
Ch 2-8
9/14
Rev 8
Ch 2 Rev
Geo
Ch 2
Test

2. Patterns and Inductive Reasoning
Chapter 2-1

3. Make conjectures based on inductive reasoning. conjecture
counterexample
Find counterexamples.
Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning. (Key)
Standard 3.0 Students construct and judge the validity of a logical argument and give counterexamples to disprove a statement. (Key)
Lesson 1 MI/Vocab

4. Patterns
What is next?

5. Patterns and Conjecture
Make a conjecture about the next number based on the pattern.
2, 4, 12, 48, 240
Find a pattern: ×2 ×3 ×4 ×5
The numbers are multiplied by 2, 3, 4, and 5.
Conjecture: The next number will be multiplied by 6. So, it will be 6 ● 240 or 1440.
Answer: 1440
Lesson 1 Ex1

6. Describe the pattern and find the next number.
1, 4, 16, 64…
Multiply by 4
256
-5, -2, 4, 13…
Add subsequent multiples of 3. {3, 6, 9, 12…) 25
5, 7, 14, 16, 32, 34…
Add 2, then multiply by 2 68

7. A. B.
C. D. A B C D
Lesson 1 CYP1

8. Conjecture An unproven statement based on prior facts
All Football players are dumb.
All English teachers are short.
All even numbers are divisible by 2.

9. Counterexample A specific example that proves a conjecture is false
Give a counterexample to the conjecture that:
“All months end in the letter y.”
March, April, September, etc.
“All numbers are divisible by 2.”
3, 7, 39, etc.
“For all real numbers x, x2  x.
.5, .1, .938, etc.

10. Conjecture: L, M, and N are collinear.
Geometric Conjecture
For points L, M, and N, LM = 20, MN = 6, and LN = 14. Make a conjecture and draw a figure to illustrate your conjecture.
Given: points L, M, and N; LM = 20, MN = 6, and LN = 14. Examine the measures of the segments. Since LN + MN = LM, the points can be collinear with point N between points L and M.
Answer:
Conjecture: L, M, and N are collinear.
Lesson 1 Ex2

11. Given: ACE is a right triangle with AC = CE
Given: ACE is a right triangle with AC = CE. Which figure would illustrate the following conjecture? ΔACE is isosceles, C is a right angle, and is the hypotenuse.
A. B.
C. D. A B C D
Lesson 1 CYP2

12. UNEMPLOYMENT Based on the table showing unemployment rates for various counties in Texas, find a counterexample for the following statement. The unemployment rate is highest in the cities with the most people.
Answer:
Maverick has a population of 50,436 people in its population, and it has a higher rate of unemployment than El Paso, which has 713,126 people in its population.
Lesson 1 Ex3

13. DRIVING Based on the table, which two states could be used as a counterexample for the following statement? The greater the population of a state, the lower the number of drivers per 1000 residents. A B C D
Texas &
California
Vermont &
Texas
Wisconsin &
West Virginia
Alabama &
Lesson 1 CYP3

14. Homework Chapter 2-1 Pg 80 1, 2, 5 – 16, 25 – 30, 33, 40, 43 – 48
9th & 10th:
Suggested addition 3,4,17-24,34-35