G10_Q1_W1_Arithmetic_Sequence_and-Geometricpptx

Sequence

1. Grade10 Mathematics Teacher Flora May A. Lauta Quarter 1 Week 1 MELC No. 1

2. Hi, everyone! Welcome to our class.

3. THE FOLLOWING PLEASE PREPARE Your Grade 10 Module Paper Ballpens or pencils BEFORE WE START:

4. Identify the next term of a sequence Find the terms of sequence whose nth term is given by a rule Differentiate finite sequence from infinite sequence Create a sequence equation for a given problem Focus on the lesson Do not open your social media apps while the lesson is ongoing As much as possible, stay in a room where there are no distractions Solve along with the teacher CLASS OBJECTIVES AND RULES MELC No. 1 Generate Patterns Objectives Rules

5. Our Lesson for Today Open your Grade 10 Math Module on Page 6 SEQUENCE

6. SEQUENCE INFINITE SEQUENCE FINITE SEQUENCE TERMS OF A SEQUENCE RULE OF A SEQUENCE CONCEPTS AND KEYWORDS

7. What is a Sequence? In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Example: 3, 5,7, 9 1, 2, 3, 4, ... 4, 3, 2, 1 1, 2, 4, 8...

8. INFINITE and FINITE Sequence When the sequence goes on forever it is called an infinite sequence, otherwise it is a finite sequence Infinite Sequence Finite Sequence 20, 25, 30, 35, ... a, b, c, d, e 1, 2, 4, 8, 16, 32, ... 4, 3, 2, 1 216, 343, 512, 729, ... 8, 11, 14, 17, 20

9. TERMS OF A SEQUENCE Illustrative Examples: 1. Find the next term of the sequence 10, 13, 16, 19, 22. a 1 a 2 a 3 a 4 a 5 a 6 10 13 16 19 22 2. Find the next term of the sequence 8, 16, 32, 64, 128. a 1 a 2 a 3 a 4 a 5 a 6 8 16 32 64 128

10. Finding the terms of a sequence by its given rule Illustrative Examples: 1. Find the first four terms of the given rule, .  

11. Finding the terms of a sequence by its given rule Illustrative Examples: 2. Find the first four terms of the given rule, .  

12. How to solve your Learning Tasks

13. According to sciencemag.org, researchers found that people with obesity who contracted SARS-CoV-2 (Covid19) were 113% more likely than people of healthy weight to land in the hospital, 74% more likely to be admitted to an ICU, and 48% more likely to die. Because of this, a doctor suggested to an obese patient to lose 60 pounds . The patient losses 20 lbs in the first week , 16 lbs in the second week , and 12 pounds in the third week . If the patient continues losing weight at this rate, how long will it take for the patient to lose the suggested weight? Solution: Week No. 1 2 3 4 5 Weight Loss Illustrative Example for Learning Task 1

14. Week No. 1 2 3 4 5 Weight Loss 20 16 12 8 4 Solution: The patient losses 20 lbs in the first week , 16 lbs in the second week , and 12 pounds in the third week . If the patient continues losing weight at this rate, how long will it take for the patient to lose the suggested weight of 60 lbs ? Answer: It takes five (5) weeks for the patient to lose 60 lbs.

15. A. Write F is the sequence is finite sequence and I if it is infinite . Illustrative Example for Learning Task 2 {3, 5, 7,…} {..., -3, -2, -1, 0, 1, 2} {20, 30, 40, 50,…, 200} {7, 14, 21,…, 2401} {-12, -9, -6, -3, 0, 3, 6,…} F I F F I

16. Illustrative Example for Learning Task 2 B. Write the next three terms of the given sequences. 18, 21, 24, __, __, __ 4, 16, 64, ___, _____, __ 9.5, 7.5, 5.5, ___, ___, __ -2, 4, -8, __, ___, __ 1, 1/2, 0, ____, __, __ 27 30 33 256 1024 4096 3.5 1.5 -0.5 16 -32 64 -1/2 -1 -3/2

17. Illustrative Example for Learning Task 2 C. Write the first four terms of the sequence whose nth term is given by the rule.   2.  

18. Learning Task 3 Creating own sequence and reflection on what you have learned.

19. Summary of the Lesson Lesson Recap 1 What is sequence? What is the next term of a sequence? Lesson Recap 2 What are the terms of sequence whose nth term is given by a rule? Lesson Recap 3 What is the difference between finite sequence and infinite sequence

20. Answer the activity sheets/worksheets your teacher will give. Activity Time

21. Thank you for attending! SEE YOU NEXT TIME!