Ecology Day 3.

Slides:



Advertisements
Similar presentations
Exponential and Logarithmic Functions and Equations
Advertisements

Unit 2 Lesson 3 Models and Simulations. To Be a Model Scientist … Use Models! Copyright © Houghton Mifflin Harcourt Publishing Company Why do scientists.
LOGARITHMS AND EXPONENTIAL MODELS
Review the pages of the notebook Fill out key to Cornell.
Cornell Notes Ch. 3 Models of the Earth. Models Models are representations of real objects or systems – Allow us to manipulate things that we can’t work.
Unit 1 Test Review Answers
Lesson 3.1, page 376 Exponential Functions Objective: To graph exponentials equations and functions, and solve applied problems involving exponential functions.
The Natural Base e Section 6.2 beginning on page 304.
TODAY IN ALGEBRA 2.0…  REVIEW: 7.5 Expand and Condense LOGs  COMPLETE: HW #6  Learning Target: 7.6 You will solve exponential equations by changing.
Chapter 4 Section 1 Essential Question How can we model relationships between quantities? Common Core State Standards: 8.F.4 Mathematical Practices: 1,
Exponential Functions y = a(b) x Exponential Growth This graph shows exponential growth since the graph is increasing as it goes from left to right.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
7.1 Exponential Models Honors Algebra II. Exponential Growth: Graph.
Algebra 1 Notes Lesson 7-4 Elimination Using Multiplication.
3.6 Solving Absolute Value Equations and Inequalities
Section 4.5 Modeling with Exponential & Logarithmic Functions.
POPULATIONS. 1. S curve = Logistic growth Resource availability will cause the population to level off over time When we look at how populations grow,
Pg. 97 Homework Pg. 109#24 – 31 (all algebraic), 32 – 35, 54 – 59 #30#31x = -8, 2 #32#33 #34#35 #36#37x = ½, 1 #38#39x = -1, 4 #40#41 #42 x = -3, 8#43y.
 One way radical functions are used in the real world can be seen in an equation, relating the number of Earth days in a planet’s year to the average.
Applications of Common Logarithms Objective: Define and use common logs to solve exponential and logarithmic equations; use the change of base formula.
TODAY IN ALGEBRA 2.0…  REVIEW: Solving Exponential Equations  Learning Target 1: 7.6 You will solve exponential equations by using logarithms  Independent.
UNIT 3: EXPONENTS, RADICALS, AND EXPONENTIAL EQUATIONS Final Exam Review.
 Class Introduction: Exponential Growth So far in this course, you have been investigation the family of linear functions using multiple representations.
Sample Problems for Class Review
Exponential Growth and Decay Formula:
DO NOW HW: Exponential Functions Worksheet
Exponential and log graphs Logarithms Identify all the graphs in the diagrams below. (2,16) (0,1) 0 y x  (3,125) 0 y x (0,1)  0 y 1 (4,16) x  0 y.
Algebra Core Review. Unit 1: Real Numbers Natural Numbers: Whole Numbers: Integers:
Ecosystem Practice Answer the questions in your Energy Flow C-Notes. Add descriptions and diagrams if necessary.
EXAMPLE 1 Solve an equation with two real solutions Solve x 2 + 3x = 2. x 2 + 3x = 2 Write original equation. x 2 + 3x – 2 = 0 Write in standard form.
Section Setting Up Word Problems. Lesson Objective: Students will: Learn to set up the type of complicated word problems that are often found in.
Algebra The Natural Base, e. Review Vocabulary Exponential Function–A function of the general form f(x) = ab x Growth Factor – b in the exponential.
Solving Linear Systems
1.6 Modeling Real-World Data with Linear Functions
1.3 Exponential Functions Day 2
UNIT 5: Exponential Growth / Decay Formula:
Biome Project.
Review Problems Matrices
Unit 2 Lesson 3 Models and Simulations
Exponential and Logistic Modeling
Population Growth, Limiting Factors & Carrying Capacity
Meadow Food Web.
Ecology Unit 1.
Solve an equation with two real solutions
Carrying Capacity.
1.6 Modeling Real-World Data with Linear Functions
Bullet 2: Fluctuations in Population Growth
Ecology day 6.
Common Logs and Applications
UNIT 5: Exponential Growth / Decay Formula:
Ecology Unit 1.
Solving Equations with variables on each side
Unit 3: Exponents, radicals, and exponential equations
1. Pond Environment Directions: Use the picture above to answer the questions below. Name 3 biotic factor interacting with the 3 abiotic factors in this.
Possible Exponential Graphs
Exponential Growth / Decay Formula:
Properties of Logarithmic Functions
Ecology Unit 1.
Day 2 – Solving Systems by Graphing
Math Talk Which is bigger 24∙6 or 26∙4?.
#1.2 Aim: How does energy move through an ecosystem? Agenda QOD (5)
Ecology Unit 1.
An environment is made up of all the living and non-living things with which an organism (living thing) may interact.
1.) What is the value of the discriminant?
Biotic/Abiotic factors Carrying capacity Techniques of Field Ecology
Chapter 7 Section 7.5 Logistic Growth
CURRICULUM READING RACE
Warm – up #4 1. Evaluate
Algebra 1 Warms Up Oct. 2-5.
Algebra 1 Notes Lesson 7-5 Graphing Systems of Inequalities
Presentation transcript:

Ecology Day 3

In Pg. 32 You are a fish and game warden looking at the population of Largemouth Bass. This year your starting population is 300 Bass and you think they will grow at an exponential rate of 35% per year. How many Bass will you find in your favorite fishing hole in 25 years under exponential growth rates? 1. Write out the formula – think penny. 2. Write out the write out the equation with numbers. 3. show all work in your algebra.

Do it now pg. 32 What type of graph is below? How do you know this?

Cornell Notes Pg. 29 What are models?

What are Models? Models are representations of real objects or systems used to solve problems and predict outcomes Physical models= a 3 dimensional representation used to show relationships between parts. Model solar system Conceptual models= a diagram that shows how the parts of a larger whole are related. Food web Mathematical models =based on mathematical equations. Computer models= computer programs that make predictions.

Thru 1 Pg. 34 & 35 Analysis Questions Pg. 30 Answers on page 31 What is a model? Find an example on google. What is a physical model? Find an example on google. What is a conceptual model? Find an example on google. What is a mathematical model? Find an example on google. What is a computer model? Find an example on google. Answer your questions on page

Do it again Pg. 32 You are an ecologist doing a study on the population of frogs the farm ponds of S.E. Kansas. This year your initial population is 7500. Your population under exponential growth conditions will grow by 15% per year. What will your frog population be in 25 years? 1. Write out the formula – think penny. 2. Write out the write out the equation with numbers. 3. show all work in your algebra.

Out pg. 32 What are some biotic factors that will not allow for exponential growth of our frogs? What are some abiotic factors that will not allow for exponential growth of our frogs?