Lesson 1 - Generating Patterns - Sequence.pptx
- 1. SLIDESMANIA.COM Identify if each picture below shows a pattern or not. If there is a pattern, put a check mark (✓) and identify it, otherwise put a cross mark (x). With Pattern or Without Pattern? ✓ ✓ 1. Banderitas 2. Coffee Beans 3. Tahong Shells 3. Stack of Stones ✓ ✓
- 2. SLIDESMANIA.COM Directions: Complete the pattern generated from the previous activity. a. Color of the Banderitas: Green, Blue, Red, Orange, Yellow, Green, Blue, Red, Orange, Yellow, _____ b. Number of Coffee beans: 4, 6, 8, _____ Green 10
- 3. SLIDESMANIA.COM c. Tahong shells: Close, Open, Close, Open, Open, Close, Open, Open, Open, _____ d. Number of Stack of Stones: 1, 2, 3, 4, 5, _____ f. Dates in the calendar for the month of July 3, 10, 17, 24, _____ Close 6 31
- 4. SLIDESMANIA.COM SLIDESMANIA.COM The set objects in the priming activity are called sequences. 1. Define sequence. 2. Identify the next term of a sequence 3. Value accumulated knowledge as means of new understanding. Sequences
- 5. SLIDESMANIA.COM SLIDESMANIA.COM What is a Sequence? A sequence is an arrangement of numbers in a particular order. List of numbers that are in order. Example; 1, 2, 3, 4 … 3, 5, 7, 9, 11 …
- 6. SLIDESMANIA.COM SLIDESMANIA.COM What is a Sequence? A sequence is a function whose domain is a finite set of positive integers {1, 2, 3, …, n} or an infinite set {1, 2, 3, …}. It is a string of objects, like numbers, that follow a particular pattern.
- 7. SLIDESMANIA.COM SLIDESMANIA.COM An element or object in the sequence is called term. When the sequence goes on forever it is called an infinite sequence, otherwise it is a finite sequence.
- 8. SLIDESMANIA.COM Illustrative Example: Identify if the set of each object shows a pattern or not then find the next term. 1. 0, 4, 8, 12, 16, ___ 2. 9, 4, -1, -6, -11, ____ 3. 1, 3, 9, 27, 81, _____ 4. 160, 80, 40, 20,10, ___ 20 -16 243 5
- 9. SLIDESMANIA.COM Study the following patterns then supply the missing term to complete the sequence. 1. Jan, Feb, March, April, May, ___, ____ 2. 5, 8, 11, 14, ___, 20, ___... 3. 3, -6, ___, -24, 48, ___ … 4. 1, 4, 9, 16, ___, 36, 49, 64, ___ June July 17 23 12 -92 25 81
- 10. SLIDESMANIA.COM SLIDESMANIA.COM Guided Questions ● What pattern is shown in every item? ● If the pattern continues in each of the item, what will be the next item?
- 11. SLIDESMANIA.COM Directions: Study the given sequence, identify the pattern then find the missing number. 1. 1 3 5 7 9 ____ 13 15 17 2. 0 5 10 ____ 20 25 30 35 40 3. 17 15 13 ____ 9 7 5 3 4. 25 35 45 ___ 65 75 5. 34 44 54 64 ___ 84 94 Find the Number
- 12. SLIDESMANIA.COM SLIDESMANIA.COM Questions ● What is a sequence? ● What do you call an object or element in the sequence?
- 13. SLIDESMANIA.COM Directions: Get ½ crosswise and study the following patterns then supply the missing term to complete the sequence. 1. 2, 4, 7, 11, ____ 2. 7, 9, 11, ____, ____, 17, 19 3. 1, 8, 27, 64, 125, ____ 4. 5, 10, 7, 14, 11, 22, 19, _____