© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Cup of coffee.

Slides:



Advertisements
Similar presentations
How Caffeine is Processed by the Body Where Found Caffeine occurs naturally in the leaves, seeds and fruits of many plant species. Caffeine is common in.
Advertisements

© Nuffield Foundation 2012 Nuffield Free-Standing Mathematics Activity Modelling a test drive © Rudolf Stricker.
© Nuffield Foundation 2012 © Rudolf Stricker Nuffield Free-Standing Mathematics Activity Can they tell the difference? low calorie alternative ginger ale.
Maintaining Mental Performance with Caffeine Lindsay Crowl & the Starbucks Corp.
4.2 Exponential Decay Functions
6. 1 Exponential Growth and Decay
8.8 – Exponential Growth & Decay. Decay: 1. Fixed rate.
Caffeine A psycho-active stimulant Absorbed within 30 to 60 minutes Peaks in bloodstream in 1 hour Peaks in CNS in 2 hours.
Warm-up Given x = -5, z = 3, a = 4. Evaluate each expression. 2x
ELF.01.8 – Solving Word Problems Using Logarithms MCB4U - Santowski.
Bellwork 1) C2) A3) B. A few things to discuss… Increasing vs. Decreasing Increasing vs. Decreasing Linear vs. Exponential Linear vs. Exponential Asymptotes.
Chapter 6 Exponential and Logarithmic Functions. EXPONENTIAL GROWTH AND DECAY Section 6.1.

A sample of the paint used in a cave painting in France is found to have lost 82% of its original carbon-14. Solving this equation approximates the number.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Completing the square.
Nuffield Free-Standing Mathematics Activity
© Nuffield Foundation 2012 Nuffield Free-Standing Mathematics Activity Exponential rates of change.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Hire a coach.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Road test © Brett Wilson.
Nuffield Free-Standing Mathematics Activity Investigating friction
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity What’s it worth? © Rudolf Stricker.
Exponential Decay - decreases by a constant factor -decay factor (Mult.) - Less than 1 X Y d.f. = Y-int =
Lesson 25 – Applications of Exponential & Logarithmic Functions IB Math SL1 - Santowski 10/13/20151 Math SL1 - Santowski.
Mental Fitness April 24, Health Info prepared by Public Health April 2015.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Simple and compound interest.
Chapter 3 – Differentiation Rules
© Nuffield Foundation 2011 Nuffield Mathematics Activity Drug clearance.
This Week In AIG It’s a BIG Week!! Thursday – Project is Due!! Paper Double Space Font Size 12 Referenced Save PP to CD or to
© Nuffield Foundation 2012 Free-Standing Mathematics Activity Maximum and minimum problems.
Drugs in the Body (1) Recurrence Relations A patient is given an initial dose of 50mg of a drug. Each hour the patient is given a 20mg tablet of the.
Exponential Growth and Decay “Word Problem Format”
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Climate prediction.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Outdoor Gig.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Ratios.
Chapter 10.6 Formulas to Memorize: Exponential G & DContinuous Exponential G & D y = final amount a = original amount k = rate or constant t = time.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Model the motion.
6.1 Exponential Growth and Decay
© Nuffield Foundation 2012 Free-Standing Mathematics Activity Factor cards: quadratic expressions.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Annual Percentage Rate.
CAFFEINE. Common Products Amount of caffeine….. Dunkin’16oz206 Starbucks16oz266 Coke12oz (20 oz)54mg (90mg) Pepsi12oz (20 oz)38mg (63mg) Mt. Dew12oz.
© Nuffield Foundation 2011 Free-Standing Mathematics Activity Speed and distance.
Exponential Equation Exponential Equation (Jeopardy)
© Nuffield Foundation 2012 Free-Standing Mathematics Activity Fractions, decimals, percentages.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Annual percentage rate with more than one instalment Lower APR.
Lesson 19 - Solving Exponential Equations IB Math SL1 - Santowski 2/17/20161 SL1 Math - Santowski.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Spot the errors.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Suncatchers © BrightMoonDesigns.
Caffeine Problem  The half-life of caffeine is 5 hours; this means that approximately ½ of the caffeine in the bloodstream is eliminated every 5 hours.
Hypothesis Testing Part IV – Practical Significance.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Plumber’s call-out.
Time Remaining 20:00.
How much is too much?  Daily recommended value is 400mg.  Pregnant women 200mg.  10year old 70mg.  mg is moderate.
Chapter 5 Review. 1) The cost of attending a certain college has been increasing at 6% each year. If it costs $25,000 now, how much will it cost in 25.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Measure it!
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Outdoor Gig.
© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Projectile problems.
WHY YOU SHOULD CARE ABOUT
Nuffield Free-Standing Mathematics Activity
Effects of Drinking Diet Soda
Graph y =
Chapter 10.6 Exponentials Growth and Decay Standard & Honors
Nuffield Free-Standing Mathematics Activity
Free-Standing Mathematics Activity
Friday September 8, 2017 Does the amount of coffee a person drinks between the ages affect their height as an adult? Write a hypothesis (if…,then…

Exponential Growth and Decay
Nuffield Free-Standing Mathematics Activity Drug clearance
Exponential Relations
Applications of Exponentials Day 2
Mathematics Unit 33: Drug Concentrations
Presentation transcript:

© Nuffield Foundation 2011 Nuffield Free-Standing Mathematics Activity Cup of coffee

How long does the buzz from caffeinated drinks last?

Cup of coffee Non-smoking adult tCoffeeTea The amount of caffeine (mg) remaining in the body after t hours is measured from the time the caffeine level reached its peak value

Which functions could be used to model these data sets? Caffeine remaining for a non-smoking adult How could you find the parameters?

Reflect on your work What types of functions did you use to model the data? Which method of finding parameters did you use? Do you think it was the most effective? How well did your models fit the data? Compare your models with those found by other students. Cup of coffee Which model gave the best fit?