UNIT 1: EQUATIONS, INEQUALITES, & REAL NUMBERS



Drake ( A Day Schedule ( 2015-2016 ( Name________________________________ ( Block_______

Unit 7: Sequences and Series

|DATE |TEXT |OBJECTIVES |HOMEWORK |IXL |

|Fri, | |Test on Unit 6 |Unit 7 Day 00 HW worksheet: Introductions to |A.S. & G.S. Sequences|

|March 18 | | |Sequences and Series |BB.1 - BB.3 |

|DAY 0 | | | |BB.5 - BB.7 |

| | | | | |

| | | | |Mixed Review |

| | | | |BB.9 |

|Tues, |11.1-11.2 |Sequences as Functions: Arithmetic|Day 01 HW Worksheet on Sequences | |

|March 22 | |and Geometric | | |

|DAY 1 | | | | |

|Thurs, | |Sequences: Arithmetic and Geometric |Day 02 HW Worksheet on Arithmetic and Geometric | |

|March 24 |11.2 |Applications |Sequences | |

|DAY 2 | | | | |

|SPRING BREAK [pic] |

|Mon, | |Series: Arithmetic and Sigma Notation |Day 03 Worksheet on Arithmetic Series |Sigma Notation |

|April 4 |11.3 | | |BB.10 - BB.12 |

|DAY 3 | | | | |

| | | | |Infinite G.S. |

| | | | |BB.17 – BB.18 |

|Wednes, | |Series: Geometric and Infinite Geometric | | |

|April 6 |11.4 | |Day 04 Worksheet on Geometric Series | |

|DAY 4 | | | | |

|Fri, |11.5 |Recursion and applications |Day 05 HW Worksheet on Recursion and | |

|April 8 | | |Applications |BB4, BB.8 |

|DAY 5 | | | | |

|Tues, | |Unit 7 Test Review |Day 06 Unit 7 Test Review | |

|April 12 | | |Solution key posted on | |

|DAY 6 | | |mrsdrakesmathclass. | |

|Fr, | |Unit 7 Test | | |

|April 15 | | |SOL Review questions (to be determined) | |

|DAY 7 | | | | |

|Tues, | |Virginia Beach Post Assessment |Unit 8 Day 00 HW Worksheet: Introduction to | |

|April 19 | | |Permutations and combinations | |

Unit 7: Sequences and Series

UNIT 7 LEARNING TARGETS:

______Skill A: I CAN recognize, define and graph a sequence or series as Arithmetic,  Geometric, Infinite Geometric or neither and be able to generalize patterns in a sequence using explicit and recursive formulas

______Skill B: I CAN apply the properties of arithmetic or geometric sequences and series to solve real life problems, including computing the common difference or ratio, writing the first n terms, and finding the nth term.

______Skills C: When given the formula, I CAN find the sum of any series, including problems in summation notation.

UNIT 7 ENDURING UNDERSTANDINGS:

1. Mathematical models are generated from investigating real life patterns.

2. Patterns occur naturally and can be recognized, extended, and generalized with words and symbols.

UNIT 7 ESSENTIAL QUESTIONS:

1. How can recognizing patterns help solve real world problems and make predictions?

2. What kind of patterns can be modeled mathematically?

3. How is an arithmetic sequence related to a linear model?

4. How is a geometric sequence related to an exponential model?

5. Can all patterns be defined recursively?

SOL Objectives (2009):

AII 2 The student will investigate and apply the properties of arithmetic and geometric sequences and series to solve real-world problems, including writing the first n terms, finding the nth term, and evaluating summation formulas. Notation will include Σ and an.

VIRGINIA BEACH OBJECTIVES:

A2 EX.7.1 The student will define and distinguish between sequences and series, including arithmetic and geometric sequences, and arithmetic and geometric series.

A2 EX.7.2 The student will apply the properties of arithmetic or geometric sequences and series to solve real-world problems, including computing the common difference or ratio, writing the first n terms, and finding the nth term, and evaluating summation formulas. Notations will include [pic]and an.

A2 EX.7.3 The student will, when given the formula, find the sum of a convergent infinite series.

A2 EX.7.4 The student will generalize patterns in a sequence using explicit and recursive formulas.

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