Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

Monthly Update sign up
Mailing List signup
Search
MENU
Insights Into Algebra 1 - Teaching For Learning
algebra home workshop 1 workshop 2 workshop 3 workshop 4 workshop 5 workshop 6 workshop 7 workshop 8
Topic Overview Lesson Plans Student Work Teaching Strategies Resources
Workshop 6 Exponential Functions Lesson Plans
Lesson Plans:

Introduction

Lesson Plan 1: Overrun by Skeeters - Exponential Growth

Lesson Plan 2: Bigger and Smaller - Exponent Rules
Download the Workshop 6 Guide


Tool Box
Journal
Graphing Calculator
Channel-Talk
NCTM Standards


Lesson Plan 2: Bigger and Smaller - Exponent Rules

Overview Procedures For Teachers Related Standardized Test Questions Materials

The questions below dealing with concepts related to exponents have been selected from various state and national assessments. Although the lesson above may not fully equip students to answer all such test questions successfully, students who participate in active lessons like this one will eventually develop the conceptual understanding needed to succeed on these and other state assessment questions.

  • Taken from the Massachusetts Comprehensive Assessment, Grade 10 (Spring 2002):
    What is the simplest form of the expression
    2x4y2 / x2y2, x 0, y 0?

    Solution: 2x4y2 / x2y2 = 2(x4 - 2)(y2 - 2) = 2x2
  • Taken from the Massachusetts Comprehensive Assessment, Grade 10 (Spring 2002):

    On January 1, 2000, a car had a value of $15,000. Each year after that, the car's value will decrease by 20 percent of the previous year's value. Which expression represents the car's value on January 1, 2003?

    A. 15,000(0.8)3 (Correct Answer)
    B. 15,000(0.8)4
    C. 15,000(0.2)3
    D. 15,000(0.2)4

  • Taken from the Colorado State Assessment Program, Grade 10 (2002):
    Number cubes are the basis for many games. Each face of a number cube is identified by a number from 1 to 6. Some games use one number cube and some games use multiple number cubes.

    Part C - Complete the table below to show the number of possible outcomes when 2, 3, 4, and 5 number cubes are used.

    Number of Cubes 1 2 3 4 5
    Number of possible outcomes 6                       

    Solution: There are 62 = 36 outcomes when two cubes are used, 63 = 216 outcomes for three cubes, 64 = 1296 outcomes for four cubes, and 65 = 7776 outcomes for five cubes. In general, there are 6n outcomes for n cubes.
  • Taken from the Virginia Standards of Learning Assessment, Algebra I (Spring 2001):
    Which is equivalent to:



    A. 1/b3

    B. b3

    C. b4 (Correct Answer)

    D. b8

  • back to top
    Next: Materials
    Site MapAbout This Workshop

    © Annenberg Foundation 2014. All rights reserved. Legal Policy