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# Experimenting with Non Linear Patterns

Lesson 9 of 30

## Objective: SWBAT explain the difference between linear and non linear functions using real world examples.

#### Bellringer Warm-up

*10 min*

Today is a flash back bellringer day in the schedule of bell ringers, therefore, I plan to review solving equations and exponents using the following questions.

1. Generate an Equivalent Expression for: (3x^{2)-4}

y^{3}x^{5}

^{ }

^{ }

2. Solve for x: -4(2/3x – 5) = 3/4x + 8

Note: Today's lesson is an extension of yesterday's lesson, **Experimenting with Linear Patterns**.

#### Resources

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#### Wrapping Up the Lesson

*10 min*

Wrapping up the lesson is really discussing all the properties and vocabulary of the experiment. It is not easy to stop students as they are completing the lab and questions so the closing on this day is very important to help students make connections and consolidate all those connections. A good discussion topic for today is what type of function is represented today linear or non-linear and why? The discussion should focus on why the function is not linear (used two different types of marbles so the rate of change was different). You could also discuss the scatterplot and how a line of best fit might fit the situation in order to make predictions but the strength of correlation is weaker than it was yesterday when all the marbles were roughly congruent. If you do not already have a good explanation of non-linear functions in the unit organizer, then add it today.

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- LESSON 1: Introducing Function Graphs: Day 1 of 3
- LESSON 2: Introducing Function Graphs Continued: Day 2 of 4
- LESSON 3: Introducing Function Graphs Completed: Day 3 of 4
- LESSON 4: Introducing Function Graphs Completed: Day 4 of 4
- LESSON 5: Disney World Park Tickets
- LESSON 6: Interpreting Graphs Formative Assessment Lesson Day 1 of 2
- LESSON 7: Interpreting Graphs Formative Assessment Lesson Day 2 of 2
- LESSON 8: Experimenting with Linear Patterns
- LESSON 9: Experimenting with Non Linear Patterns
- LESSON 10: Jump Frog Jump Day 1 of 2
- LESSON 11: Jump Frog Jump Day 2 of 2
- LESSON 12: Hexagon Trains
- LESSON 13: Alphabet Toothpicks
- LESSON 14: How Sweet it Is
- LESSON 15: Stacking Cups
- LESSON 16: Non-Linear Functions Skittles Lab
- LESSON 17: Input/Output Scatter Plot Posters Day 1 of 2
- LESSON 18: Input/Output Scatter Plot Posters Day 2 of 2
- LESSON 19: Function Machine
- LESSON 20: Using Numbers to Catch the Criminal Day 1 of 3
- LESSON 21: Using Numbers to Catch the Criminal Day 2 of 3
- LESSON 22: Using Numbers to Catch the Criminal Day 3 of 3
- LESSON 23: Comparing Runners
- LESSON 24: Comparing T-Shirt Companies Day 1 of 2
- LESSON 25: Comparing T-Shirt Companies Day 2 of 2
- LESSON 26: Comparing Pizza Companies Day 1 of 2
- LESSON 27: Comparing Pizza Companies Day 2 of 2
- LESSON 28: Functions Unit Exam Day 1 of 2
- LESSON 29: Functions Unit Exam Day 2 of 2
- LESSON 30: Unit Project Research with Statistics