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Common Core Standards

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10 MB|33 pages

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A blizzard is on course for your town! School was quick to dismiss you early, so buses would not be stuck in the worse weather expected this season. After an hour or so of braving stormy roads, your bus pulls up to your home. You make a run for the door, instinctively reaching into your pocket to pull out your keys.

Uh-oh

You are stunned by a sudden emptiness in your pocket. You must have dropped your key on the bus!

The wind picks up, blasting snowflakes against your face and sending a shiver down your spine. Soon, snow would engulf your street, and leave you stranded in the unbearably cold weather.

But you recall, luckily, your parents had left a backup system in case a situation like this arose! You make your way to the Patio, where you know five codes lie hidden around the room. In order to re-enter the house, you would need to crack them all and retrieve the spare keys, which are held in a locked box on the tabletop.

Solve the problems and crack the codes before the storm swallows you whole!

Good Luck!

**This digital Breakout is a review of:**

â–º Evaluating Arithmetic Series (Given a1, an, &n, or Given a1, d, &n, or Given a finite arithmetic sequence)

â–º Evaluating a Finite Geometric Series (Given a1, r, & n, or Given a finite geometric sequence, or Given a1, an, & r)

â–º Determining whether an Infinite Geometric Series Converges or Diverges

â–º Evaluating an Infinite Geometric Series (Given a1 & r, or Given the first few terms of an infinite geometric sequence, or Given the Summation Notation)

â–º Evaluate the Summation Notation of these models:

â€¢Arithmetic Series (2 questions: one question using the formula and the other using a graphing calculator)

â€¢Finite Geometric Series (2 questions: one question using the formula and the other using a graphing calculator)

â€¢Infinite Geometric Series (1 question using the formula)

**Students must feel comfortable with:**

â˜‘ The Explicit Formula of an Arithmetic Sequence: an = a1 + (n - 1)d

â˜‘ The Explicit Formula of a Geometric Sequence: an = a1 * r ^(n - 1)

â˜‘ The Formula of Finite Arithmetic Series: Sn = (n/2)(a1 + an)

â˜‘ The Formula of Finite Geometric Series: Sn = (a1 * [1 â€“ r^n])/(1 - r)

â˜‘ The Formula of an Infinite Geometric Series: Sn = a1/(1 - r)

â˜‘ Using the common ratio, r, to determine whether an Infinite Geometric Series will Converge or Diverge

There are 5 locks that require unique combinations. Students may work individually, with pairs, or groups in unlocking these locks.Â **Collaboration, Communication, Creativity, and Critical ThinkingÂ **are very evident as students trying to breakout.

**Students will interact with:**

â–º Google Sites (Must have access)

â–º Google Sheets (Must have access)

â–º Google Forms (Must have access)

â–º Google Drawings (Must have access)

â–º Google Slides (Must have access)

â–º Jigsaw Planet (Must have access) [CLICK HERE TO CHECK]

**Please make sure that school/district does not block out of domain sharing of Google Drive Resources.**

**Here are some of the standards that this activity addresses:**

**F.IF.3**: Recognize that sequences are functions, sometimes defined recursively, who domain is subset of the integers

**A.SSE.4**: Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.

*When this activity was completed by my students they shared how much they've enjoyed it as it allowed them to work together and the "Mystery" part of it when finding the combinations made them think outside the box.*

**In this product you'll find:**

â–º Link to Google Site with its associated activities

â–º Visual step-by-step instructions on breaking each of the 5 locks

â–º Optional Recording Form

â–º Suggested Step-by-Step Answer Key

â–º Combinations to breakout

â–º Optional Hint Cards

â–º Optional Site Map ... (**NEW:***When I divided my students into 2 groups (7-8 students per group), I gave each group this site map so they could IDENTIFY and DIVIDE the locks amongst themselves.Students who managed to unlock one of the locks moved on to help their partners in the group.This site map allowed students to stay in control and focused.I truly hope you like using it*)

As this activity has 5 locks, you may choose to complete all locks or skip some. If you decide to skip some locks, just provide the students with the combination to that particular lock.

**You may also like other Digital Breakouts:**

**â€¢Concert Nightmare: Digital Breakout about Solving Radical Equations**

**â€¢Crack The Code: Dividing Polynomials Style**

**â€¢The Lost Painting: Digital Breakout about Slope & Linear Equations**

**â€¢LEAK: Digital Breakout about Arithmetic & Geometric Sequences**

**â€¢SUNKEN: Digital Breakout about Solving Systems of Equations by Graphing**

**â€¢EXPEDITION: Digital Breakout about Solving Systems of Equations by Substitution**

**â€¢UFO: Digital Breakout about Solving Systems of Equations by Elimination**

**â€¢HOME ALONE: Digital Breakout about Exponential & Logarithmic Functions**

**â€¢FOSSILS: Digital Breakout about SLOPE**

**â€¢TRAPPED: Digital Breakout Linear Inequalities & Systems of Linear Inequalities**

**â˜ºWould love to hear your feedbackâ˜º.**Please don't forget to come back and rate this product when you have a chance. You will also earn TPT credits. Enjoy and I**â˜ºThank** **Youâ˜º**for visiting my**â˜ºNever Give Up On Mathâ˜º**store!!!

**Â© Never Give Up On Math 2018**

*This product is intended for personal use in one classroom only. For use in multiple classrooms, please purchase additional licenses.*

*â˜º HAVE A WONDERFUL DAY â˜º*

Total Pages

33 pages

Answer Key

Included

Teaching Duration

N/A

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