Fitting Models to Data Nancy Norem Powell. Math Modeling A basic premise of science is that much of the physical world can be described mathematically.

Slides:

Advertisements

Similar presentations

Problem 7.4 Remember: A radius square is a square whose sides are the same length as the radius of the circle.

Advertisements

Are You an Average Student? 1.Take out a lined piece of paper and fold it vertically. 2.Number your paper 1-30 on the left side – Next to the number answer.

Science Fair List of Materials & Procedure 8 th Grade Science Brookville Intermediate.

Exponential Decay M & M’s Math Lab.

Using real world data in math Sara Turnbull Andy Albee.

Bird Beaks Lab Who will survive? LT: I can construct an explanation based on evidence that describes how beak shape (trait) can affect the fitness of a.

Evidence of a Chemical Reaction Vanderbilt Student Volunteers for Science Training Presentation Fall 2013.

Click here to enter. Click a menu option to view more details Starters Main Courses Desserts Click on the coffee cup to return when Navigating For Vocabulary.

8.3 – Population Dynamics LT: Examine how one species population size can affect the carrying capacity of a different species Predict: Below is a population.

Bird Beak Lab Who will survive?. Instructions Take out one piece of paper and a pencil. Clear off your desk. Follow directions on the following slides.

Aim and prediction I have  Written an aim which starts with: To find out.. To investigate… To discover…  Written a prediction that includes the word.

Investigation 1 part 1 “Seed Search”

The Biology and Math Interface Group Presents…. Our Teachable Tidbit Topic: Exponential growth and decay with applications to biology Learning Outcomes.

Good Morning I will check your planners this morning. I will need your “All About Me” poster. In addition any papers you haven’t turned into me with s,

Module 6 Lesson 16.

Study Hall (8:45 – 9:15) Sharpen all pencils, grab your notebook, ready to begin.

Bring your TCAP foldable and your comp book each day to class. TCAP QUIZ ON FRIDAY!!!!!

Math Minutes, September /9 – 4/5 2. Carrie ran around the school’s track 1 ½ times. She started to walk ¼ of the distance and then began to run.

7.1.4 What if it does not grow? Exponential Decay.

Testing Household Chemicals Vanderbilt Student Volunteers for Science Training Presentation Fall 2009.

Transformation of Energy During Digestion Lab Investigation: Purpose: To find our what type of energy is released during digestion Hypothesis: I think.

Area of the Lovely El “Area” means the space taken up by this shape… … so really, we should imagine it ‘filled in.’ (You could shade it in with your pencil.

Plant Investigation: Purpose of the Investigation: How do environmental factors affect the height of bean plants?

Common Core High School Mathematics: Transforming Instructional Practice for a New Era 1.1.

Table of Contents Unit 1- Understand the Problem Unit 2- Gather Information Unit 3- Develop Solutions Unit 4- Implement A Solution Unit 5- Test and Evaluate.

A guide for parents and carers Follow this presentation to see a step-by-step guide to helping your child practise their times tables.

Mini Math Lab Exponential Decay Of Gravitational Force Between Earth and the Sun.

A guide for parents and carers Follow this presentation to see a step-by-step guide to helping your child practise their times tables.

A guide for parents and carers Follow this presentation to see a step-by-step guide to helping your child practise their times tables.

Bird Beak Lab Who will survive?. Instructions Take out one piece of paper and a pencil. Clear off your desk. Follow directions on the following slides.

Science: Structures of Life Seeds. Properties Property: the characteristic of an object or something you can observe about an object. Properties can include.

Relate skip-counting by fives on the clock and telling time to a continuous measurement model, the number line Lesson 2.2.

Teacher Choice Bouncing Ball Pendulum Liquid Assets.

To write exponential equations that model real-world growth and decay data.

Radioactive Decay Lab Breakout Room

{ Week 22 Biology. Must Do - New Unit Page  Title: Unit 4 – Evolution  Write three questions you have that you would like answered during this unit.

Do Now: What is science? On page 10, with your partner, come up with a definition of science.

Day 2 –Procedures Do now 1.Turn your introduction in to the TA. 2.Get out a new sheet of paper for the procedures. IN YOUR GROUPS (QUIET TALKING)

LAB: Natural Selection Group Members: Problem Statement: What is the effect of environment on the survival of a population?

Fun with Fractions! Lessons for 3 rd grade. Relax… don’t panic. This will be fun! *When you hear the word ‘fraction’ what do you think of? (Let’s have.

Through RELATIVE and ABSOLUTE dating, FOSSILS and ROCK LAYERS show us… That the earth’s habitats have changed over time….. That the earth’s climate has.

How to draw a line graph Yr 9 Science. Line graphs Line graphs can be useful for showing the results of an experiment. You usually use a line graph when.

Welcome to A B C For Sundance Parents. A lways ask your child what went well at school today! B oast about the good things your child tells you! C elebrate.

Exponential Hands-on Activity Created and Presented by: Jennifer Weber.

Study Hall (8:45 – 9:15) Sharpen all pencils, grab your notebook, ready to begin.

PREAP CHEMISTRY. NOTEBOOKS 1 – 4 Table of Contents 5 Brief Overview of Science Fair 6 The Scientific Method “Come Fly With Us” 7 “Come Fly with Us” Questions.

Evidence of a Chemical Reaction Vanderbilt Student Volunteers for Science Training Presentation Fall 2015.

Bird Beaks Lab Who will survive? LT: I can construct an explanation based on evidence that describes how beak shape (trait)

No = 1= 4 = 6 = Undefined.  Students will learn: ◦ To explore Line of Best fit in a real world setting and use the Line of Best fit to make predictions.

Warm-up Solve by linear combination

HISTOGRAM Shows distribution of data over a narrow range Used for multiple tests of same activity Analyze the MOST FREQUENT RESULT Identifies results that.

Pass The Candy.

Evidence of a Chemical Reaction

Antibiotic Resistance Mini-Lab

What should you be doing …

Using manipulatives in math

D43 Measuring Earthquakes

Opening Activity: June 12, 2018

Topic Quadrats and random sampling techniques Level

Journal: Date: 1/4/2019 Title: WDYE 1.2 Cups Warm Up:

To divide larger numbers

Maths skills in science

Day 98 – Understanding Reasonable Domain

To divide larger numbers

Scientific Method.

Daily Quiz Macromolecule that provides short term energy.

Which bird will survive?

Evidence of a Chemical Reaction

4-figure grid references

Presentation transcript:

Fitting Models to Data Nancy Norem Powell

Math Modeling A basic premise of science is that much of the physical world can be described mathematically and that many physical phenomena are predictable. This was part of the scientific revolution that took place in Europe during the late 1500’s.

Skittles? Modeling? Interestingly enough, we can simulate population with skittles. You’re asking how? Let’s do an experiment…. Population Growth

Equipment needed Don’t eat the skittles! Each group needs 2 paper plates Cup of skittles 2 pieces of paper Pencil Graphing calculator

Let’s get started Population Growth 1.On one sheet of paper, Label it Population Growth and make two columns. Trial # # of skittles on the plate 01 2.Take out one skittle and put it on one of your paper plates – one side has an “S” on it and the other doesn’t. If your skittle does not have an “S” on it, put it back in the cup and find another one with an “S” on it. Don’t eat the skittles!

3.Place the other paper plate on top and gently shake the plates. 4.Remove the top plate. If you see an “S” showing on the skittle, add 1 skittle. Record how many skittles are on your plate after you’ve finished your first trial. 5.Place the paper plate back on top and gently shake the plates with the skittles again. Don’t eat the skittles!

6.Remove the top plate. Count how many “S” are showing. Add 1 skittle for each “S” showing. Record how many skittles are now on your plate. 7.Repeat this until all of your skittles are out of the cup. 8.If you run out of skittles to add to your plate, record the number of skittles that SHOULD have been there if you had enough. Don’t eat the skittles!

Do you want to eat the Skittles? DECAY Trial ## of skittles on your plate 1.On your second sheet of paper, label it DECAY and make two more columns. Trial ## of skittles on your plate 1 (count the number on your plate and record it here!) 2.Put the 2 nd paper plate on top and shake the skittles gently. 3.If the “S” is showing, take it off the plate and count them as you take them off. Record how many skittles are LEFT ON THE PLATE! Follow these directions!

Okay… 4.Divide the skittles that you took off the plate between your group members and EAT them. 5.Again, put the 2 nd paper plate on top and shake the skittles gently. 6.If the “S” is showing, continue taking them off the plate, record how many skittles are LEFT ON THE PLATE and eat the skittles!

Find a model When you have one skittle left or you take your last skittle off the plate, stop. fit models to your data Now it’s time to fit models to your data. ScatterplotEach of you should take a set of data and create a Scatterplot on your graphing calculator. Look at its shape. You may need to reference your basic graphs to identify your models’ functions. Population GrowthDecayFind a model for each experiment – one for Population Growth and one for Decay.

Was this a Sweet Experiment or What? Post your models on the board when you find them. Be prepared to explain what the equation is telling you! What does each number in the equation tell you about your experiment?

Picture from: Scatterplot and regression instructions available at: