Concept 16: Arithmetic & Geometric Sequences, Study notes of Analytical Geometry

Download Concept 16: Arithmetic & Geometric Sequences and more Study notes Analytical Geometry in PDF only on Docsity! Concept 16 Arithmetic & Geometric Sequences Concept 16: Arithmetic & Geometric Sequences Level 4 Example Question Level 3 Example Question Level 2 Example Question Write an equation for this geometric sequence and find the 10th term of the sequence. 3, 6, 12, 24, 48, … Write an equation for this arithmetic sequence and find the 30th term of the sequence 3, 9, 15, 21, 27, … Identify whether these sequences are arithmetic or geometric 1, 3, 9, 27, 81, … 3, 7, 11, 15, 19, … (C) Level 2 1. INTRODUCTION: Take Notes & Basic Practice Mr. Sieling’s Video Alternate Video From Other Source Videos are on Mr. Sieling’s Website Videos are on Mr. Sieling’s Website 2. PRACTICE ACTIVITIES: (Complete at least 2) IXL Practice Worksheet P1 (Alg1) (At least to 90) Score = __________ Level 2: Arithmetic & Geometric Sequences Buzzmath Create Patterns & Sequences Define arithmetic sequence and/or geometric sequence 3. QUIZ (Level 2) Schoology Quiz: Level 2 – Arithmetic & Geometric Sequences 4. REMEDIATION Correct Mistakes on Quiz and Do Another Practice Activity Mr. Sieling’s Signature Pre-Quiz Score = _____/5 Score 5 = Level 4 Score 3,4 = Level 3 Score 0,1,2 = Level 2 Level 2 Quiz Score: START DATE: (materials are available) Assessment Date: (date of 1st assessment on this concept) DUE DATE: (To stay on pace: should be done by now) DEADLINE: (on THE LIST if note completed) Concept 16 Arithmetic & Geometric Sequences (B) Level 3 1. INTRODUCTION: Take Notes & Basic Practice Mr. Sieling’s Video Alternate Video From Other Source Videos are on Mr. Sieling’s Website Videos are on Mr. Sieling’s Website 2. PRACTICE ACTIVITIES: (Complete at least 2) IXL Practice Worksheet P2 (Alg1) (At least to 80) Score = __________ Level 3: Arithmetic & Geometric Sequences Buzzmath Create Sequences: Finding the Next Term An example of an Arithmetic Sequence including the first 5 terms, equation and explanation 3. QUIZ (Level 3) Schoology Quiz: Level 3 – Arithmetic & Geometric Sequences 4. REMEDIATION Correct Mistakes on Quiz and Do Another Practice Activity Mr. Sieling’s Signature (A) Level 4 1. INTRODUCTION: Take Notes & Basic Practice Mr. Sieling’s Video Alternate Video From Other Source Videos are on Mr. Sieling’s Website Videos are on Mr. Sieling’s Website 2. PRACTICE ACTIVITIES: (Complete at least 2) IXL Practice Worksheet P6 (Alg1) (at least to 90) Score = __________ Level 4: Arithmetic & Geometric Sequences Buzzmath Create Sequences: Using a Formula to Find Terms An example of a Geometric Sequence Including the first 5 terms, equation and explanation 3. QUIZ (Level 2) Schoology Quiz: Level 4 – Arithmetic & Geometric Sequences 4. REMEDIATION Correct Mistakes on Quiz and Do Another Practice Activity Mr. Sieling’s Signature Level 3 Quiz Score: Level 4 Quiz Score: Concept 16 Arithmetic & Geometric Sequences Worksheet Level 2: Goals: Identify Arithmetic and Geometric Sequences Find the next term in an arithmetic sequence Find the next term in a geometric sequence Practice #1 Does this pattern represent an arithmetic or geometric sequence? Explain. Find how many dots would be in the next figure? Practice #2 Does this pattern represent an arithmetic or geometric sequence? Explain. Find how many cubes would be in the next figure? Concept # ________ Concept 16 Arithmetic & Geometric Sequences Practice #3 Practice #4 Draw the next term if this represents an arithmetic sequence. Find the number of cubes in the next three figures. Draw the next term if this represents a geometric sequence. Find the number of cubes in the next three figures. Concept 16 Arithmetic & Geometric Sequences Notes Level 3: Goals: Write an equation for an arithmetic sequence Use an equation to find the Nth term of an arithmetic sequence Notes: Big Ideas Examples/Details Concept # ________ Practice #3 Determine if the sequence is arithmetic. If it is, find the 52nd term and the explicit formula. 1) 8 16, 24, 32, ... 3) 23, 28, 33, 38, .. 5) 37, 39, 41, 43, .. T) 37, -163, -363, -363, 9) 37, 17, -3, -23,... 2) -24, -14, +4, 6, ... 4) -26, —28, —30, —32, ... 6) 8, -1, -10, -19, ... 8) -8, 2, 12, 22, .. 10) 12, 8, 4, 0... Concept 16 | Arithmetic & Geometric Sequences  Concept 16 Arithmetic & Geometric Sequences Notes Level 4: Goals: Write an equation for a geometric sequence Use an equation to find the Nth term of a geometric sequence Notes: Big Ideas Examples/Details Concept # ________ Concept 16 Arithmetic & Geometric Sequences Basic Practice: Summary of Writing an Expression for a Geometric Sequence