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# Unit Review: Sequences and Series

Lesson 16 of 18

## Objective: SWBAT review the important concepts of this unit.

*50 minutes*

#### Self-Assessment Review

*40 min*

I was really inspired by Amelia Jamison's method of doing a review before an exam. Amelia gives a list of learning objective with a sample problem or two for each. Then **students self-assess their progress** on the unit in order to focus on the ideas that they definitely need to study. Many students do not know how to study math, so this is a way to get them thinking about how to help themselves.

I decided to use the same method for this unit. I give students this review and have them read through the learning objectives first and have them self-assess. Then I give them most of the hour to work on the review. It seemed like doing the mortgage and interest problems were what students felt most uncomfortable with.

While students were working, **here are some interesting things I heard and observed.**

- "How do you find the limit without using a graph?"
- Students wondered whether to multiply or divide the payment by the interest rate while doing to the financial problems. They also wondered if the last payment to an account should be compounded or not.
- The calculator work is tricky - especially finding the sum of a sequence using sigma on the calculator. My students understand how to do it, but don't always remember the correct keystrokes.

#### Resources

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#### Closure

*10 min*

To wrap up this review, I address a few of the concerns that were brought up while students were working (my list was in the previous section). In this video I talk about what I specifically address.

To finish, I take a quick poll of student students about their self-assessment and see what we need to fine-tune before our exam.

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- UNIT 1: Functioning with Functions
- UNIT 2: Polynomial and Rational Functions
- UNIT 3: Exponential and Logarithmic Functions
- UNIT 4: Trigonometric Functions
- UNIT 5: Trigonometric Relationships
- UNIT 6: Additional Trigonometry Topics
- UNIT 7: Midterm Review and Exam
- UNIT 8: Matrices and Systems
- UNIT 9: Sequences and Series
- UNIT 10: Conic Sections
- UNIT 11: Parametric Equations and Polar Coordinates
- UNIT 12: Math in 3D
- UNIT 13: Limits and Derivatives

- LESSON 1: The Skyscraper Problem
- LESSON 2: The Fractal Tree
- LESSON 3: Describing Sequences and Series
- LESSON 4: Arithmetic Sequences
- LESSON 5: Geometric Sequences
- LESSON 6: The Fractal Tree Revisited
- LESSON 7: Investments, Loans, and Mortgages - Day 1 of 2
- LESSON 8: Investments, Loans, and Mortgages - Day 2 of 2
- LESSON 9: Mathematical Induction
- LESSON 10: Formative Assessment Review: Sequences and Series
- LESSON 11: Formative Assessment: Sequences and Series
- LESSON 12: The Limit of a Sequence
- LESSON 13: Area Under a Curve - Day 1 of 2
- LESSON 14: Area Under a Curve - Day 2 of 2
- LESSON 15: Binomial Expansion
- LESSON 16: Unit Review: Sequences and Series
- LESSON 17: Unit Review Game: Pictionary
- LESSON 18: Unit Assessment: Sequences and Series