# Multiple Intelligences by J74oS5w

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```									                                            Multiple Intelligences
Unit Plan Template
EDUC 521

Unit Title:                                             Teacher:
Chapter 3 - Logarithmic and Exponential
Functions

Subject: Algebra II or Precalculus                      Time Frame:
10 block periods of 1hr 40 min each
(approximately four weeks)
Objective(s):              Intelligences:               Technologies:            CA State Standards:
Students will learn to:                                                         Algebra II:
Sub-Strand 11.0:
- translate between        Verbal/Linguistic            Computer Lab            Students prove simple laws of
exponential and                                                                 logarithms.
logarithmic notation       Interpersonal                Document Camera          Standard 11.1: Students
understand the inverse
utilizing the definition                                (Elmo)                  relationship between exponents
Logical/Mathematical
of logarithms.                                                                  and logarithms and use this
Overhead Projector      relationship to solve problems
Visual/Spatial                                       involving logarithms and
- use the Logarithm                                                             exponents.
Property of Equality to    Intrapersonal                                         Standard 11.2: Students judge
find solutions to                                                               the validity of an argument
according to whether the
problems.                  Naturalist                                           properties of real numbers,
exponents, and logarithms have
- identify the             Musical/Rhythmic                                     been applied correctly at each
step.
appropriate property of                                                         Sub-Strand 12.0: Students
logarithms to utilize in a Bodily/Kinesthetic                                   know the laws of fractional
problem.                                                                        exponents, understand
exponential functions, and use
these functions in problems
- apply exponential                                                             involving exponential growth
properties to fractional                                                        and decay.
Sub-Strand 13.0: Students use
exponents.                                                                      the definition of logarithms to
translate between logarithms in
- recognize properties                                                          any base.
Sub-Strand 14.0: Students
of exponential functions                                                        understand and use the
and their graphs.                                                               properties of logarithms to
simplify logarithmic numeric
expressions and to identify their
- apply exponential                                                             approximate values.
functions to growth and                                                         Sub-Strand 15.0: Students
decay problems.                                                                 determine whether a specific
algebraic statement involving
- recognize the                                                                 expressions, or logarithmic or
definition of e.                                                                exponential functions is some-
times true, always true, or never
true.
- use the definition of
common and natural                                                              NETS.S:
logarithms.                                                                     3. Research and Information
Fluency
Students apply digital tools to
- use the definition of                                                         gather, evaluate, and use
Change of Base.                                                                 information.
Students:
- substitute known                                                         a. plan strategies to guide
inquiry.
(given) values of                                                          b. locate, organize, analyze,
logarithms into                                                            evaluate, synthesize, and
logarithmic expressions                                                    ethically use information from a
variety of sources and
to get an approximate                                                      media.
numeric answer.                                                            c. evaluate and select
information sources and digital
tools based on the
- calculate the exact                                                      appropriateness to specific
logarithmic expression                                                     d. process data and report
results.
where possible.                                                            4. Critical Thinking, Problem
Solving, and Decision Making
Students use critical thinking
skills to plan and conduct
research, manage projects, solve
problems, and make
informed decisions using
appropriate digital tools and
resources.
Students:
a. identify and define authentic
problems and significant
questions for investigation.
b. plan and manage activities to
develop a solution or complete a
project.
c. collect and analyze data to
identify solutions and/or make
informed decisions.
Materials:                                                                 Intelligences:

Assigned Textbook                                                          Verbal/Linguistic
Various Worksheets for Classwork/Homework                                  Interpersonal
Logical/Mathematical
Whiteboard                                                                 Visual/Spatial
Various handouts for Web Quest                                             Intrapersonal
Naturalist
Musical/Rhythmic
Bodily/Kinesthetic

Procedures:                                                                Intelligences:

Day 1: Chapter 3.1 Exponential Functions and Their Graphs

-Warm Up Page 306 Review of properties of exponents (Students come up   Intrapersonal
to board and write their solutions, we go over as a class).           Interpersonal
-Use interactive whiteboard to demonstrate the graphs of exponential    Verbal/Linguistic
functions (shifting left to right, up and down, reflection,           Logical/Mathematical
y-intercepts and horizontal asymptotes).                              Visual/Spatial
-explain natural base e and show graph of y = ex                        Bodily/Kinesthetic
-formulas for compound interest and continuously compound interest      Naturalist
-exponential growth and decay                                           Musical/Rhythmic
-Classwork graphing worksheet
-Homework assigned from textbook
Day 2: Chapter 3.2 Logarithmic Functions and Their Graphs

-Review Classwork and Homework from previous lesson.                           Intrapersonal
-Explain the relationship between exponential functions to logarithmic         Verbal/Linguistic
functions.                                                                    Logical/Mathematical
-Write the Properties of Logarithms (pg 311) on the board and give             Visual/Spatial
examples of each one.                                                         Interpersonal
-Use the interactive whiteboard to demonstrate the graphs of logarithmic       Musical/Rhythmic
functions (vertical asymptotes, x-intercept, shifting and inverse
relationship to exponential graphs).
-explain the natural logarithmic function and the Properties of Natural
Logarithms.
-Classwork from textbook (with option of completing in groups of two)
-Homework assigned from textbook

Day 3: Chapter 3.3 Properties of Logarithms

-Review Classwork and Homework from previous lesson. (Have students            Intrapersonal
come up to whiteboard and write solutions to various problems).               Verbal/Linguistic
-Progress monitoring quiz on 3.1-3.2                                           Logical/Mathematical
-Explain Change of Base formula and give examples                              Visual/Spatial
-Write remaining Properties of Logarithms (pg 322) on whiteboard.              Interpersonal
Explain the how the help condense ,expand or simplify logarithms.             Bodily/Kinesthetic
-Classwork from textbook (with option of completing in groups of two)
-Homework assigned from textbook

Day 4: Chapter 3.4 Exponential and Logarithmic Equations

-Review Classwork and Homework from previous lesson.                           Intrapersonal
-Use a graphic organizer for the students to fill in on the various types of   Verbal/Linguistic
logarithmic and exponential function they will learn how to solve in this    Logical/Mathematical
chapter.                                                                      Visual/Spatial
-Give examples to the students using the above graphic organizer as tool.
-Classwork worksheet on solving exponential/logarithmic functions.
-Homework assigned from textbook

Day 5: Day 1 of Web Quest - Introduction and Research

- Show video (United Streaming) of applications of                             Intrapersonal
exponential/logarithmic functions in real life.                              Interpersonal
-Use interactive whiteboard to show students the webpage of the Web            Verbal/Linguistic
Quest.                                                                        Logical/Mathematical
-Have the students break into their assigned groups of four and decide who     Visual/Spatial
is choosing which profession (geologist, archeologist, policeman,            Bodily/Kinesthetic
chemist)                                                                     Naturalist
-Give each group a handout of websites associated with each profession         Musical/Rhythmic
-Explain to the students that the end product for this Web Quest will be a
newspaper article created by each group explaining their findings.
-Show an example to the students of a completed newspaper article.
-Explain to the students the resource outline will be handed in at end of
class. This outline will list which websites they visited and what
information was learned at each website.
-Walk to the computer lab and begin research.                              All used throughout
Web Quest:
Day 6: Day 2 of Web Quest - Creating the newspaper                            Intrapersonal
Interpersonal
-Go to the computer lab so the students can work on creating their         Verbal/Linguistic
newspaper article.                                                        Logical/Mathematical
Visual/Spatial
Day 7: Day 3 of Web Quest - Group Presentations                               Bodily/Kinesthetic
Naturalist
-Each group will take turns presenting their newspaper.                    Musical/Rhythmic
-I will use a rubric to assess their product.

Day 8: Group Practice Test on Chapter 3                                       Interpersonal
Verbal/Linguistic
-Students will split into groups of 3-4 of their choosing and complete a   Logical/Mathematical
practice test to prepare for the test.                                    Visual/Spatial
-During the last 30 minutes of the class we will go over each answer       Musical/Rhythmic
together.

Day 9: Summative Test Chapter 3                                               Intrapersonal
Logical/Mathematical
- Test on Chapter 3                                                        Visual/Spatial
Musical/Rhythmic

Product:                                                                      Intelligences:

Classwork and Homework throughout the unit.                                   Intrapersonal
Interpersonal
Quiz on 3.1-3.2                                                               Verbal/Linguistic
Logical/Mathematical
Newspaper article from Web Quest                                              Visual/Spatial
Bodily/Kinesthetic
Practice Test                                                                 Naturalist
Musical/Rhythmic
Summative Chapter Test

Assessment:                                                                   Intelligences:

Progress Monitoring during review of assigned classwork/homework.             Intrapersonal
Interpersonal
Progress Monitoring by asking open ended questions throughout lectures.       Verbal/Linguistic
Logical/Mathematical
Progress Monitoring through completion of quiz on 3.1-3.2.                    Visual/Spatial
Naturalist
Summative assessment of Web Quest by using a rubric.                          Musical/Rhythmic

Progress Monitoring through completion of group practice test.

Summative assessment of complete unit through end of chapter test.
Presentation Ideas and Notes: (optional)   Technologies to be
used:

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