7.1.4 What if it does not grow? Exponential Decay.

Slides:

Advertisements

Similar presentations

Objective : 1)Students will be able to identify linear, exponential, and quadratic equations when given an equation, graph, or table. 2)Students will be.

Advertisements

Exponential Decay M & M’s Math Lab.

General Form and Graph for an Exponential Function.

8.6 Problem Solving: Compound Interests In addition to level 3, students make connections to other content areas and/or contextual situations outside.

Exponential Functions

8.3 Division Properties of Exponents Learn to use the division properties of exponents to evaluate powers and simplify expressions.

Linear Vs. Exponential Growth

Graphing Exponential Functions

Simplify Expressions in Exponential or Radical Form.

Students are expected to: Construct and analyse graphs and tables relating two variables. Solve problems using graphing technology. Develop and apply.

Exponential Growth & Decay Lesson In addition to level 3, students make connections to other content areas and/or contextual situations outside.

Pre-Calculus Unit 3 Review

Foundation for Functions: A.1A describe independent and dependent quantities in functional relationships.

Unit 1 Test Review Answers

Creating Exponential Equations ~Adapted from Walch Education.

Lesson Objective: Draw graphs of exponential functions of the form y = ka x and understand ideas of exponential growth and decay.

MATH – High School Common Core Vs Kansas Standards.

8.2 Negative and Zero Exponents I love exponents!.

Exponents Properties. Warm Up Solve the following equations: 3 = 3x + 1 6x + 7 = 61 5a – 34 = -9.

Pgs For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities,

7.1.2 What is the connection? Multiple Representations of Exponential Functions.

Functions. Warm Up Solve each equation. 1.2x – 6 = x = X + 29 = x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11.

Algebra II w/ trig. Exponential Functions – has the form y= ab x, where a ≠0, b>0, and b≠1 - y represents the quantity after time is expired - a represents.

LINEAR FUNCTIONS AND THEIR GRAPHS NC GOAL 4.01 Use linear functions or inequalities to model and solve problems; justify results. Solve using tables, graphs,

Math I Cluster Quiz Data. Math I Unit 2 Represent & Solve Equations & Inequalities Graphically.

Slide 1 Lesson 75 The Coordinate Plane EE.18 Find solutions to linear equations with two variables. CP.1 Identify and plot ordered pairs on the coordinate.

MAT 213 Brief Calculus Section 1.3 Exponential and Logarithmic Functions and Models.

Unit 7 An Introduction to Exponential Functions 5 weeks or 25 days

2.1.1 Calling Plans day 3 Unit 2: Linear Relationships SWBAT: Compare calling plans by using graphs, tables, and equations.

7.1 E XPONENTIAL F UNCTIONS, G ROWTH, AND D ECAY Warm Up Evaluate (1.08) (1 – 0.02) ( ) –10 ≈ ≈ ≈ Write.

Unit 1: Linear Functions and Inequalities Day 3: Writing Equations of Lines.

8-2: Exponential Decay Day 2 Objective Ca Standard 12: Students know the laws of fractional exponents, understand exponential functions and use these functions.

Warm up X = -1 Why is there only one answer? An absolute value will NEVER be negative.

Content Standards F.IF.7e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period,

A.y = 2x + 5 B.y = 2x – 5 C.y + 5 = 2(x – 5) D.y = 2(x – 5) What is the point-slope form of an equation for a line that passes through the point (5, –5)

MGSE9-12.A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

Objectives: The student will be able to… 1)Graph exponential functions. 2)Solve exponential equations and inequalities.

Splash Screen. CCSS Content Standards F.BF.2 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model.

Unit 1: Linear Functions and Inequalities Day 2: Writing Equations of Lines and Graphing.

Grade 8: Linear Functions

Given Slope & y-Intercept

Lesson 13.6 – Writing Equations in Slope-Intercept Form

Exploring Exponential Models.

Functions and their Graphs

Linear Functions SOL 8.14, SOL 8.16, SOL 8.17.

6.7 Writing Linear Functions

Writing Exponential and Power Functions

Exponential Functions

Each set of points below represent an exponential function

Warm-up: Create two linear binomials then multiply them to create their product. Describe the key features of the product of two linear binomials? Varies...

Warm-up 1. Graph y = 3x. ANSWER

Warm Up Problem Identify the terms, like terms, coefficients, and constants in the expression below. 4y y.

Warm-up: Can we use quadratics to represent projectile motion?

Graph Stories 2 Teacher Notes

Chapter 1: How does it grow?

EXIT TICKET: Graphing Linear Equations 11/17/2016

Introduction Exponential equations are equations that have the variable in the exponent. Exponential equations are found in science, finance, sports, and.

Choosing the Best Method

Exploring Exponential Models.

Todays Lesson: Exponential Functions

Graphing Linear Equations

Linear Vs. Exponential Growth

Writing Equations from Tables

Objectives Compare linear, quadratic, and exponential models.

Point-Slope Form & Graphing

Activating Prior Knowledge – Notes

READ OR Work on something. you Talk, you will get a strike.

Exponential Functions

exponential equations

Presentation transcript:

7.1.4 What if it does not grow? Exponential Decay

Standards A ‑ CED.1. Create equations in one variable and use them to solve problems. F ‑ IF.8b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02) t, y = (0.97) t, y = (1.01) 12t, y = (1.2) t/10, and classify them as representing exponential growth or decay. F ‑ IF.7e. Graph exponential functions, showing intercepts and end behavior.

More Standards F ‑ LE.1c. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another. F ‑ LE.2. Construct exponential functions given a graph, a description of a relation ‑ ship, or two input ‑ output pairs (include reading these from a table). F ‑ LE.5. Interpret the parameters in a linear or exponential function in terms of a context.

The M & M Lab Start with a cup full of M & Ms. Trial #1: Dump the M & Ms out on your team’s workspace. Remove any candies that are “M” down. Record the number of candies that remain in a table as shown on a slide that follows. Trial #2: Gather the candies that show an “M”. Put these candies back in the cup, shake them up, and dump them on your workspace again. Remove any candies that are “M” down and count the number of candies that remain. Record the number in your table. Trial #x: Continue this process until the last candy is removed. Record all results in your table.

The M & M Lab cont. Make a scatterplot of the data collected in your table. Once perfected, graph your team results on the class graph on the smart board.

Questions Prior to Lab What does trial #0 represent? Is it possible that a team conducting this experiment might never remove their last candy? Explain.

The M & M Lab Data Trial Number (x)Number of Candies Remaining (y)

Questions After Lab

Exit Ticket Mrs. Pierce’s sons built a 100 pound snowman. In the warm weather, half of the snowman melts away every day. Write an equation that models the weight of the snowman (y) after x days.