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# Candle Burning

## Making Predictions With Scatter Plots in the Real World

This Real World 3 Act Math Task will have students making predictions via interpolation and extrapolation using scatter plots and a line of best fit.

## Related Math Topics:

Data management of two-variables including:

• making predictions between two-variables,
• creating scatter plots,
• classifying correlations as positive/negative and strong/weak, and
• interpolating and extrapolating using a line of best fit.

This task can be extended to linear relationship and equations by having students determine the equation of a line for the line of best fit to make predictions.

## Act 1: Lighting the Candle

Students will watch act 1 and make interpolations and extrapolations related to how long it will take for the candle to burn to ____ cm tall or to completely burn out.

## Act 2: Students Request Information

• how long was the candle before it was lit?
• how long did it take to get to half the size?

## Sequel / Extensions

What if…

…we had a 26 cm candle with the same diameter as the last candle? How long would it take to burn out?

… the relationship between height of the candle and time was perfectly linear? (a perfectly straight line). What could the table of values and graph look like?

This 3 act math task can easily be extended to different situations including a larger/smaller candle, thicker candles and many other ideas that I’m sure you’ll think up as you prepare to use this task.

## Sequel #2:

This activity is a great one to address the Understanding Characteristics of Linear Relations specific expectation from MPM1D – Principles of Mathematics, 9:

LR2.04 – determine the equation of a line of best fit for a scatter plot, using an informal process (e.g., using a movable line in dynamic statistical software; using a process of trial and error on a graphing calculator; determining the equation of the line joining two carefully chosen points on the scatter plot).

Click below to grab a math handout that has some of the given information and some area for students to work:

Please comment to let me know how it worked in your classroom!

## New to Using 3 Act Math Tasks?

Download the 2-page printable 3 Act Math Tip Sheet to ensure that you have the best start to your journey using 3 Act math Tasks to spark curiosity and fuel sense making in your math classroom!

## Share With Your Learning Community:

I’m Kyle Pearce and I am a former high school math teacher. I’m now the K-12 Mathematics Consultant with the Greater Essex County District School Board, where I uncover creative ways to spark curiosity and fuel sense making in mathematics. Read more.

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