1. What are we learning today? I can extend a numerical sequence pattern after determining the rule.

2. Essential Questions 1. What is a numerical sequence? 2. How do you find the next number in the sequence? 3. How can you create a numerical sequence pattern?

3. What’s the Big Idea? A numerical sequence is a pattern of numbers. The pattern can be created by adding or subtracting a number to identify the next number in a sequence.

4. Steps for Evaluating Numerical Sequence Patterns Example: What are the next 3 numbers in the following pattern? 4 1/2, 5, 5 1/2, 6,... Step 1: Ask yourself, are the numbers getting bigger or smaller? Step 2: Determine the operation Step 3: Check the ENTIRE sequence to be sure the patter consistent. 5 - 4 1/2 = 1/2 5 1/2 - 5 = 1/2 6 - 5 1/2 = 1/2

5. Determine the pattern and complete it 325, 365, 405, 445, 485, _______, ________, 605 Step 1: Are the numbers getting bigger or smaller? Step 2: Determine the operation +40 Step 3: Check the entire sequence +40 525 +40 565 +40

6. Determine the pattern and complete it 70.2, 65, 59.8, 54.6_______, ________, 39 Step 1: Are the numbers getting bigger or smaller? Step 2: Determine the operation -5.2 Step 3: Check the entire sequence -5.2 49.4 44.2

7. Determine the pattern and complete it 2, 1, 4, 5, 2, _______, 8, 9 3 9 9 3 9 Step 1: Are the numbers getting bigger or smaller? Step 2: Determine the operation +1/9 Step 3: Check the entire sequence 7979 +1/9

8. Your Turn! For the next few problems, extend the patterns by four numbers 1)10, 9 1, 9, 8 1, ______ Rule:____ 2 2 2) 8.1, 8.3, 8.5, 8.7,_____ Rule:___ 3) 3, 3 1, 3 2, 4, _____ Rule:____ 3 3 4) 7, 6.75, 6.5, 6.25, ____ Rule:____

9. Closure On your slate, write the 3 steps you must follow to solve a numerical sequence pattern.