Unit 3: Sequences
At the end of Unit 3, you will be able to (Do) …
C2PI1: Create a graph and algebraic model to represent real-world data or a situation, to interpret, predict, and justify my conclusions.
C3PI2: Write arithmetic and geometric sequences, recursively and with an explicit formula, to model functions.
- Recognize whether a sequence, table, or graph is arithmetic, geometric, or neither, including situations in a context. Note: Students are not expected to distinguish between quadratic and exponential graphs. (F-LE.A.1)
- Identify the common difference in a sequence, table, or graph of an arithmetic sequence. (F-LE.A.1c)
- Identify the common ratio in a sequence or table of a geometric sequence. (F-LE.A.1c)
- Extend the pattern, and use multiple representations for arithmetic sequences, including writing equations. (F-BF.A.2, F-LE.A.2)
- Write a recursive equation for an arithmetic sequence, and convert between explicit and recursive equations for arithmetic sequences. (F-BF.A.2, F-LE.A.2)
- Write the equation of a line. (Checkpoint 3)
C2PI1: Create a graph and algebraic model to represent real-world data or a situation, to interpret, predict, and justify my conclusions.
C3PI2: Write arithmetic and geometric sequences, recursively and with an explicit formula, to model functions.
Unit Outline
Section 5.1 You will describe the growth of a rabbit population and the decreasing rebound height of a bouncing ball. You will use tables, graphs, and equations to represent the growth.
Section 5.2 You will do an investigation where you categorize several sequences. You will also learn some of the specialized vocabulary used when discussing sequences. You will create multiple representations of arithmetic sequences, including equations for sequences that depend on previous terms.
Section 5.3 You will compare the growth of various sequences and recognize growth by multiplication and growth by addition. Then you will create multiple representations of geometric sequences and compare sequences to functions.
Section 5.1 You will describe the growth of a rabbit population and the decreasing rebound height of a bouncing ball. You will use tables, graphs, and equations to represent the growth.
Section 5.2 You will do an investigation where you categorize several sequences. You will also learn some of the specialized vocabulary used when discussing sequences. You will create multiple representations of arithmetic sequences, including equations for sequences that depend on previous terms.
Section 5.3 You will compare the growth of various sequences and recognize growth by multiplication and growth by addition. Then you will create multiple representations of geometric sequences and compare sequences to functions.
Sunday |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Saturday |
Oct 21 |
22 No School |
23 No School |
24 Writing Equation of a line Practice |
25 Linear equation words problems |
26 Comparing Linear equations |
27 |
28 |
29 Multiple Representations of Linear Equations |
30 Multiple Representations of Linear Equations |
31 DOL Work |
Nov 1 DOL Work |
2 DOL Work |
3 |
4 |
5 Exam Review |
6 Exam Day |
7 Exam Day |
8 Exam Day |
9 Unit 3 Prep work and unpacking |
10 |
11 |
12 Representing exponential growth |
13 Representing exponential growth |
14 Generating and investigating sequences |
515 Generating and investigating sequences |
16 Generalizing arithmetic sequences |
17 |
18 |
19 No School |
20 No School |
21 No School |
22 No School |
23 No School |
24 |
25 |
26 Comparing growth in tables and graphs |
27 Comparing growth in tables and graphs |
28 PSAT Day |
29 Use Multipliers to Solve Problems |
30 Use Multipliers to Solve Problems |
Dec 1ue |
2 |
3 Finding missing terms |
4 Using multiple representations of sequences |
5 Writing sequence rules |
66 Identifying key features of sequences |
7 Unit Review |
8 |
9 |
10 Competency Check #3 |