Multiple Intelligences by J74oS5w

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									                                            Multiple Intelligences
                                            Unit Plan Template
                                                 EDUC 521

Unit Title:                                             Teacher:
Chapter 3 - Logarithmic and Exponential
Functions
Grade Level: 10-12

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
                                                                                rational expressions, radical
- 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
numeric value of a                                                         tasks.
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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