Lesson Plan Math 10 - Q1 - Week 1

ST. MICHAEL ACADEMY OF PONTEVEDRA, INC. Cortez Street, Pontevedra, Negros Occidental, 6105 LESSON PLAN IN MATHEMATICS GRADE 10 ___________________________________________________________________________________________ Subject: Grade Level: Grading Period: Week: Lesson/Topics

Mathematics 10th Grade 1st Quarter 1 Patterns and Sequences Day 1 Generating Patterns and Sequences Day 2 Illustrating Arithmetic Sequence Day 3-4 Finding the Terms of An Arithmetic Sequence Number of Meetings: 4 Meetings Prepared by: Mr. John Paulo D. Palma, LPT ___________________________________________________________________________________________ Content Standard: The learner demonstrates understanding of key concepts of sequences.. Performance Standard: The learner is able to formulate and solve problems involving sequences in different disciplines through appropriate and accurate representations. Most Essential Learning Competencies: 1. Generate and describe patterns M10ALIa-1 2. Illustrates an arithmetic sequence M10ALIb-1 3. Find the nth term of an arithmetic sequence. Learning Targets: At the end of the lesson, the learners can: 1. generate and describe patterns using symbols and mathematical expressions; 2. find the next few terms and the nth term of the given sequence; 3. define and describe an arithmetic sequence; and 4. enumerate the next few terms and the nth term of an arithmetic sequence. Transfer Goals: Learners will be able to apply the key concepts of sequences in finding solutions and making decisions for certain reallife problems. Enduring Understanding: Learners will understand that there are realistic problem situations that can be solved using the concepts of sequences. Essential Question: How can patterns and sequences lead someone to educated guesses? References: Oronce, Orlando A., and Mendoza, Marilyn O, E-Math Worktext Mathematics Grade 10, 2019 Revised Edition, Rex Publishing House, pages 2 to 24 Institutional Core Values: Integrity, Responsibility and Faith in God Values Integration: Accuracy, Creativity and Productivity INTRODUCTION OF THE LESSON: This weekly module covers the key concepts of generating patterns and sequences which include the arithmetic sequence. The students will use their prior knowledge and skills to learn and understand the basic ideas of sequences and distinguish their types. They are also given enough activities to process the knowledge and skills learned and further deepen and transfer their understanding of the lessons. LESSON 1: GENERATING PATTERNS AND SEQUENCES ___________________________________________________________________________________________

EXPLORE (Day 1) Activity 1: IRF Worksheet (Formative) In this activity, the learners will be able answer the essential question of this lesson on the Initial Column on their Learning Activity Sheet. This activity serves as their initial answer to elicit their prior knowledge before introducing the next lesson Essential Question: How can patterns and sequences lead someone to make educated guesses? Initial Answer

Revised Answer

Final Answer

Write your Answer here!

Activity 2: What’s Next? (Formative) After doing the previous activity, the learners will work with patterns. Recognizing and extending patterns are important skills needed for learning concepts related to generating a sequence. In 3 minutes, Each item below shows a pattern. Answer the given questions.

FIRM-UP After they answer their previous activities, they are able to read and understand the key concepts about patterns and sequences, number sequences, finite and infinite sequences, their definition and its illustrative examples Listening Activity - Access and Process! To firm up these lessons, the learners will be able to watch the following video presentation about patterns and sequences by following given links How to Generate Patterns? Introduction to Sequences https://www.youtube.com/watch?v=ornkj0ZAY7k PATTERNS IN SEQUENCES II GRADE 10 MATHEMATICS Q1 https://www.youtube.com/watch?v=btKkchZRhzI ILLUSTRATIVE EXAMPLES Example 1.a: Find the next two terms of the given sequence 5,8,11,14,… Example 1.b: Find the next three terms of the given sequence 15, 7,-1,-9,… Example 1.c: Find the next four terms of the given sequence 7, 14, 28, 56, … Example 1.d: Find the next three terms of the given sequence 24, -12, 6, -3, … Example 2: List all the indicated terms of each finite sequence. a. The first four terms of an = 3n2 -1 b. The first five terms of an =

1 n+1

Example 3: Find the 7th term and the 10th term of the sequence when the nth term is given by: an = Example 4: What is the 9th term of the sequence when the nth term is given by: a. an = n2 + 2n – 1

b. an =

n(n+1) 2

1 (n + 1)(n + 2)

PRACTICE EXERCISES 1 (Formative) After they learned some illustrative examples regarding to generate patterns and sequences, they will be able to answer some exercises to develop and enhance their skills in solving. A. Find the next two terms of each sequence (4 items) B. List all the indicated terms of each finite sequence (2 items) C. Find the indicated term in each of the following sequences (3 items) LESSON 2: ARITHMETIC SEQUENCES (Day 2 and 3) ___________________________________________________________________________________________ Activity 3: Revisiting the IRF Worksheet (Formative) In this activity, the learners will be revisit the IRF Worksheet and answer the essential question of this lesson on the Revised Colum on their Learning Activity Sheet. This activity serves as their revised answer to elicit their prior knowledge during lesson and to determine the learning progress of a learner which had already learned during the lesson. Go back to the IRF Worksheet, In 3 minutes, please answer the essential question of this lesson on the Revised Column. (Please refer to Learning Activity Sheet) Essential Question: How can patterns and sequences lead someone to make educated guesses? Initial Answer Revised Answer Final Answer Answer done…

Write your Answer here!

Activity 4: What do we have in common? (Formative) Do with your partner or with your family member to perform this activity. Please answer the following guide questions. Guide Questions: 1. Is there a pattern in the number of matchsticks? If there is, describe it. 2. How is each term (number of matchsticks) found? 3. What is the difference between any two consecutive terms? After they answer their previous activities, they are able to read and understand the key concepts about arithmetic sequences, their definition, the process on finding the next few terms and the nth term and its illustrative examples. Listening Activity - Access and Process! To firm up these lessons, the learners will be able to watch the following video presentations about arithmetic sequences by following given links Illustrate an Arithmetic Sequence | Grade 10 | MELC https://www.youtube.com/watch?v=ffr2HmswAf0 ARITHMETIC SEQUENCE || GRADE 10 MATHEMATICS Q1 https://www.youtube.com/watch?v=_vp3ev0oRvk ILLUSTRATIVE EXAMPLES Example 1: Find the next five terms of the given arithmetic sequence: 12, 15, 18, 21, … Example 2: Find the next four terms of the given arithmetic sequence: 33, 28, 23, 18 Example 3: Find the 15th term of the arithmetic sequence: 16, 20, 24, 28, 32, … Example 4: Find the 22nd term of the arithmetic sequence: 65, 58, 51, 44 … Example 5: Find the 25th term of the arithmetic sequence: -37, -28, -19, … Example 6: In the arithmetic sequence 6, 12, 18, 24, …, which term is 120? PRACTICE EXERCISE 2 (Formative) After they learned some illustrative examples regarding to solving arithmetic sequences, they will be able to answer some exercises to develop and enhance their skills in solving. A. Find the next three terms of given arithmetic sequence (3 items) B. Find the indicated term for each arithmetic sequence (3 items) C. Solve for the indicated term (2 items) DEEPEN

Activity 5: IRF Worksheet: The Final Visit! (Formative) In this activity, the learners will be revisit again the IRF Worksheet to answer the essential question of this lesson on the Final Column on their Learning Activity Sheet. This activity serves as their final answer of the essential question and to determine the learning progress of a learner which had already learned after the lesson Go back to the IRF Worksheet, In 3 minutes, please answer the essential question of this lesson on the Final Column. (Please refer to Learning Activity Sheet on Page 1) Essential Question: How can patterns and sequences lead someone to make educated guesses? Initial Answer Revised Answer Final Answer Answer done…

Answer done…

Write your Answer here!

Activity 6: FRAMING CONCEPT (Formative) Answer the following questions based on the given table below. (Refer to your Learning Activity Sheet on page 6) WHAT HAVE I LEARNED? THINGS I WANT TO CLARIFY INTERESTING POINTS OF THE TOPIC

TRANSFER (Day 4) LIFELONG LEARNING: Directions: Please answer the following questions in not less than 5 sentences. As a St. Michaelian, how can you relate patterns or sequences to your real-life experience and to keep faith with God? SUMMATIVE TEST: Please answer the following tests. Test 1: Find the next four terms of given sequence (2 items) Test 2: List all the indicated terms of each finite sequence (2 items) Test 3. Find the indicated term in each of the following sequences (2 items) Test 4. Find the indicated term for each arithmetic sequence (2 items) Test 5: Find the indicated value for each arithmetic sequence (2 items)