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

An example of an Arithmetic Sequence including the first 5 terms, equation and explanation. 3. QUIZ (Level 3). Schoology Quiz: Level 3 – Arithmetic ...

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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
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)
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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 10 th term of the sequence. 3, 6, 12, 24, 48, … Write an equation for this arithmetic sequence and find the 30 th 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

  1. 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
  2. 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)

(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

  1. 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
  2. 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

  1. 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
  2. REMEDIATION** Correct Mistakes on Quiz and Do Another Practice Activity Mr. Sieling’s Signature Level 3 Quiz Score: Level 4 Quiz Score:

Level 2 Practice: Summary of Identifying 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 # Does this pattern represent an arithmetic or geometric sequence? Explain. Find how many dots would be in the next figure? Practice # Does this pattern represent an arithmetic or geometric sequence? Explain. Find how many cubes would be in the next figure? Concept # ________

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 # ________

Level 3 Basic Practice: Summary of Writing an Equation for an Arithmetic Sequence

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 # ________

Worksheet Level 4:

Goals: Write an equation for a geometric sequence Use an equation to find the Nth term of a geometric sequence Practice # Term 1 Term 2 Term 3 Explain what is happening in each step? How many circles were in “term 0?” How many circles will be in the next term? Write an expression to represent this geometric sequence. Practice # Draw a pattern that represents an geometric expression with a growth factor = 3. Expression: Drawings: Term 1 Term 2 Term 3 Concept # ________

  • Practice #
  • Practice #