11th CAASPP Performance Task Candles

Open the Performance Task

https://portal.smarterbalanced.org/library/en/grade-11-math-performance-task-practice-test-scoring-guide-lights-candles-action.pdf

• ya, guess I should do that at some point

• Done!

Candles A and B are lit at the same time. What will be the height, in cm, of candle A after 3 hours of burning?

Candles A and B are lit at the same time. What will be the height, in cm, of candle B after 3 hours of burning?

Candles of each type were lit at the same time. Abbie thinks that since Candle Type A burns more quickly than Candle Type B, that it will burn out (have a height of 0 cm) first. Julie thinks that since Candle Type B starts out much shorter than Candle Type A, it will be the candle to burn out first. Which candle will burn out first? Give a mathematical explanation to convince Abbie and Julie of your solution. Clearly identify the quantities involved.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Abbie has 3 hours left to film. She lights a new Candle Type A and Candle Type B and then starts filming. In the 3 hours she has left, will Abbie capture the moment when the candles are exactly the same height? Explain to Abbie how you can determine the answer

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CCSS.8.EE.C.8C

You have decided to use functions to help Abbie think about the candles. You show her how to represent the height of a candle, h, as a function of time, t, using this equation: h = k + nt First, explain to Abbie what k and n represent in order to model the different candles. Be specific in your explanation.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Create an equation for Candle A that will tell Abbie the height of the candle at t hours after it is lit. Determine what the numerical values for k and n should be for the candle you chose. Using these k and n values, write an equation that tells Abbie the height h of the candle, in cm, at t hours after it is lit.

Tags

CCSS.HSF.LE.A.2

Create an equation for Candle B that will tell Abbie the height of the candle at t hours after it is lit. Determine what the numerical values for k and n should be for the candle you chose. Using these k and n values, write an equation that tells Abbie the height h of the candle, in cm, at t hours after it is lit.

Tags

CCSS.HSF.LE.A.2

For her next film, Abbie wants candles that will burn for exactly 8 hours. You want to give her a choice by designing two different candles (Type C and Type D). Using the equation h = k + nt, determine two different pairs of values for k and n that will meet the requirement to burn down to a height of 0 cm in exactly 8 hours. Give two possible sets of values for k and n for your new candle designs.

Tags

CCSS.HSA.REI.A.1