Would You Rather Listen to the Lesson?

Read the book, One Grain of Rice, to your students. You will be amazed at how older students will pay attention when you read the book to them. It is a nice way to introduce the concept of Exponential Functions and start the class differently than the norm.
One Grain of Rice Activity
Give them a calendar page and have them fill in the first eight days with the number of grains of rice they would receive if they had made the deal described in the story.
Next, have the students make a Tchart that has the domain as the day and the range as the number of grains of rice for that day. Have the students express the range in prime factorization in exponential form.
Ask them if they see a pattern. Working and discussing with other students is always a good idea. The instructor acts as a facilitator and asks questions such as:
 What do all range elements in the set have in common?
 Do you see a pattern in the exponents?
 Is there a way to express the number 1 so that it fits the pattern?
Results
What you want students to see is that each element in the range is the number 2 with an exponent that is one less than the corresponding domain element, including 2⁰.
Ask them to write an equation for the table. Guide discussion to come up with f(n) = 2ⁿ⁻¹. Then ask students to find and compare the number of grains of rice for any other day on the calendar you choose.
Have students establish equations if the number of grains of rice were tripled or quadrupled. The equations will be f(n) = 3ⁿ⁻¹.and f(n) = 4ⁿ⁻¹ respectively.
One Grain of Rice by Demi – Read Out Loud
Here is your FREE content for this lesson!
Exponential Functions Worksheets  PDFs
31 Assignment  Exponential Functions (FREEBIE)
31 Bell Work  Exponential Functions (FREEBIE)
31 Exit Quiz  Exponential Functions (FREEBIE)
31 Guided Notes SE  Exponential Functions (FREEBIE)
31 Guided Notes Teacher Edition (Members Only)
31 Lesson Plan (Members Only)
31 Online Activities (Members Only)
31 Video Lesson (Members Only)
31 Slide Show  Exponential Functions (FREEBIE)
Exponential Functions Word Docs & PowerPoints
To gain access to our editable content Join the PreCalculus Teacher Community!
Here you will find hundreds of lessons, a community of teachers for support, and materials that are always up to date with the latest standards.
Want access to everything?
Simply click the image below to Get All of Our Lessons!
Click Here to Get All of Our Lessons!

Sets

Arithmetic Sequences and Series Worksheet

Polar Coordinates – Baby Talk

Introduction to Vectors – Navigating the Seas

How to Teach Ellipses and Circles

How to Teach Matrix Multiplication

Verifying Trigonometric Identities – Commit and Toss

Right Triangle Trigonometry – Get Triggy Wit It

Rational Functions – NCTM Activity

Continuity, End Behavior, and Limits – If This Then That
Freebie PreRequisite Resources for this Lesson:
 Properties of Real Numbers – The Importance of Differentiating Directions in Algebra
 The Nightmare of Exploring Conic Sections
 Area Under a Curve – Is your Umbrella Big Enough?
 The Distributive Property – Cupcakes and Algebra
 How to Teach Patterns and Linear Functions
 Rate of Change and Slope – Ski Through Algebra!
 Factoring to Solve Quadratic Equations – Know Your Roots
 Hybrid Flipped Classroom Model
 Irrational Numbers – K.I.S.S.
 Adding and Subtracting Fractions – Cut the Cheese
 Solving TwoStep Equations – Push the Undo Button