Estimation with Decimals Worksheets

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Estimation with Decimals Worksheets Powered By Docstoc
					Unit Plan
Title: Applying Decimals

Subject:
     Place value
     Expanded notation
     Computation of decimals
     Compare and order decimals
     Round decimals
     Converting fractions to decimals
     Scientific notation

Author:
     Judy Cook

Grade Level:
     7

Number of days:
     6

Overview:

     This unit investigates operations with decimals and some of their many
      applications. Students compare, order, and round decimals. They explore the
      relationship between fractions and decimals. They use powers of ten and
      express numbers in scientific notation.

Essential Question:

     How can knowing how to order decimals help you find books in the library?

Assessment:

     Unit test

Review/enrichment sites & activities:

     www.glencoe.com/sec/math/mac/mathnet
        o Chapter Projects
        o Interdisciplinary Investigation
        o School to Career
        o Let the Games Begin
       o   Data updates
       o   Group Activities
       o   Classroom Vignettes
       o   Parent and Student Study Guide

   www.matti.usu.edu/reys/nav/index.html
      o Adding and subtracting decimal practice

   www.redmond.k12.or.us/patrick/renz/mathsites.htm#dec
      o Decimal games

   www.edhelper.com/decimals.htm
      o Worksheets for decimal practice

   www.mccc.edu/~kelld/decimals/decimals.htm
      o Practice tests

   www.quia.com/jg/65724.html
      o Scientific notation

   http://janus.astro.umd.edu/astro/scinote
        o Scientific notation

   www.aaamath.com/Bldec.htm
      o Rounding decimals
      o Comparing decimals
      o Computation of decimals
      o Equivalent fractions and decimals
      o Scientific notation

   www.mcwdn.org/Decimals/DecimalsMain.html
      o Place value
      o Computation of decimals
      o Metric measurement
Lesson Plan
Day: Session 1

Duration:
     90 minute class

Objective: The students will be able to

     identify the place values from millionths to millions.
     write a number in expanded form with exponents.
     compute addition of decimals.
     compute subtraction of decimals.
     round decimals.
     compare and order decimals.

Technology: see unit plan page

State Standards:

     5.N.8 Read, write, and order decimals to thousandths.
     5.N.10 Compare decimals using <, >, or =.
     5.N.23 Use a variety of strategies to add, subtract, multiply, and divide decimals
      to thousandths.
     5.N.24 Round numbers to the nearest hundredths and up to 10,000.
     6.N.15 Order rational numbers.
     7.N.14 Develop a conceptual understanding of negative and zero exponents with
      a base of ten and relate to fractions and decimals.
     7.CM.10 Use appropriate language, representations, and terminology when
      describing objects, relationships, mathematical solutions and rationale.

Materials:

     Note sheets
     Practice worksheet
     Pencil
     Calculator

Procedure including links:

     Complete note sheets using the overhead.
     Use the practice worksheet for guided practice.
         o Have students answer some questions orally.
         o Have students complete problems on the board.
Assessment:

     Assign homework covering present and review work from the book.
Lesson Plan
Day: Session 2

Duration:
     90 minute class

Objective: The students will be able to

     estimate decimals.
     compute multiplication of decimals.
     compute multiplication and division of numbers by powers of ten.
     compute division of decimals.

Technology: see unit plan page

State Standards:

     5.N.23 Use a variety of strategies to add, subtract, multiply, and divide decimals
      to thousandths.
     5.N.26 Estimate sums, differences, products, and quotients of decimals.
     7.N.19 Justify the reasonableness of answers using estimation.
     7.PS.7 Understand that there is no way to solve mathematical problems but that
      different methods have advantages and disadvantages.
     7.CM.5 Answer clarifying questions from others.

Materials:

     Assessment transparency
     Note sheets
     Practice Worksheets
     Pencil
     Calculator

Procedure including links:

     Go over the homework.
     Do the daily assessment transparency.
     Collect homework and assessment work.
     Complete the note sheets using the overhead.
     Use the practice worksheets for guided practice.
          o Have students answer some questions orally.
          o Have students work in pairs to complete problems, show solutions on the
              board and explain the procedure.
Assessment:

     Assign homework covering present and review work from the book.
Lesson Plan
Day: Session 3

Duration:
     45 minute class

Objective: The students will be able to

     practice computation of decimals.

Technology:

     Internet Explorer – http://glencoe.com/sec/math/mac/mathnet

State Standards:

     5.N.8 Read, write, and order decimals to thousandths.
     5.N.10 Compare decimals using <, >, or =.
     5.N.23 Use a variety of strategies to add, subtract, multiply, and divide decimals
      to thousandths.
     5.N.24 Round numbers to the nearest hundredths and up to 10,000.
     5.N.26 Estimate sums, differences, products, and quotients of decimals.
     6.N.15 Order rational numbers.
     7.CM.10 Use appropriate language, representations, and terminology when
      describing objects, relationships, mathematical solutions and rationale.
     7.N.14 Develop a conceptual understanding of negative and zero exponents with
      a base of ten and relate to fractions and decimals.
     7.N.19 Justify the reasonableness of answers using estimation.
     7.CM.3 Organize and accurately label work.


Materials:

     Assessment transparency
     Pencil
     Paper
     Calculator

Procedure including links:

     Go over homework.
     Do the daily assessment transparency.
     Collect homework and assessment work.
     On the computers, go to http://glencoe.com/sec/math/mac/mathnet


     Click on Online Study Tools
          o Mathematics Applications and Connections
          o Course 2, 2001 edition
          o Self check quizzes
          o Chapter 2 – Applying Decimal


     Select quiz to complete.
         o 2 – 1 Compare and order decimals
         o 2 – 2 Round decimals
         o 2 – 3 Estimate with decimals
         o 2 – 4 Multiplication of decimals
         o 2 – 5 Powers of ten
         o 2 – 6 Division of decimals

     Print your results.
          o Take your sheet home to study missed questions
          o Hand in the sheet with the homework tomorrow in class.

     Continue until the class is done.

Assessment:

     Quiz printouts
Lesson Plan
Day: Session 4

Duration:
     90 minute class

Objective: The students will be able to

     convert fractions to decimals.
     define basic metric units.
     convert metric units.
     define scientific notation.
     convert numbers in standard form into scientific notation.
     convert numbers in scientific notation into standard form.

Technology: see unit plan page

State Standards:

     6.N.20 Represent fractions as terminating or repeating decimals.
     7.N.5 Write numbers in scientific notation.
     7.N.6 Translate numbers from scientific notation into standard form.
     7.N.7 Compare numbers written in scientific notation.
     7.M.3 Identify customary and metric units of mass.
     7.M.4 Convert mass within a given system.
     7.M.12 Determine personal references for customary/metric units of mass.
     7.M.13 Justify the reasonableness of the mass of an object.
     7.CM.6 Recognize and provide examples of the presence of mathematics in their
      daily lives.

Materials:

     Note sheets
     Practice worksheet
     Pencil
     Calculator

Procedure including links:

     Complete note sheets using the overhead.
     Use the practice worksheet for guided practice.
         o Have students complete questions on the board.
         o Have a different student check the work and explain the problem.
Assessment:

     Assign homework covering present and review work from the book.
Lesson Plan
Day: Session 5

Duration:
     90 minute class

Objective: The students will be able to:

     practice scientific notation.

Technology:

     Internet Explorer – http://glencoe.com/sec/math/mac/mathnet
     E-mail available to send results to the teacher.

State Standards:

     7.N.5 Write numbers in scientific notation.
     7.N.6 Translate numbers from scientific notation into standard form.
     7.N.7 Compare numbers written in scientific notation.
     7.CM.2 Provide an organized argument which explains rationale for strategy
      selection.

Materials:

     Assessment transparency
     Pencil
     Paper
     Calculator

Procedure including links:

     Go over homework.
     Do the daily assessment transparency.
     Collect homework and assessment work.
     Review the definition of scientific notation.
     Review example of numbers written in scientific notation using the smart board.
     Review the procedure for converting numbers in scientific notation to standard
      form using the smart board.
     Review the procedure for converting numbers in standard form to scientific
      notation using the smart board.
     On the computers, go to http://glencoe.com/sec/math/mac/mathnet.
     Complete the quiz on scientific notation.
     Print your results.
          o Take your sheet home to study missed questions.
          o Hand in the sheet when you take your test in class.
     For student who finish early,
          o Click on Back, Chapter 2 Applying Decimals.
          o Try any of the other quizzes.
          o Complete the questions.
          o Print your results.

Assessment:

     Quiz printouts
Lesson Plan
Day: Session 6

Duration:
     90 minute class

Objective: The students will be able to

     complete unit test.

Technology: see unit plan page

State Standards:

     5.N.8 Read, write, and order decimals to thousandths.
     5.N.10 Compare decimals using <, >, or =.
     5.N.23 Use a variety of strategies to add, subtract, multiply, and divide decimals
      to thousandths.
     5.N.24 Round numbers to the nearest hundredths and up to 10,000.
     5.N.26 Estimate sums, differences, products, and quotients of decimals.
     6.N.15 Order rational numbers.
     6.N.20 Represent fractions as terminating or repeating decimals.
     7.N.5 Write numbers in scientific notation.
     7.N.6 Translate numbers from scientific notation into standard form.
     7.N.7 Compare numbers written in scientific notation.
     7.N.14 Develop a conceptual understanding of negative and zero exponents with
      a base of ten and relate to fractions and decimals.
     7.N.19 Justify the reasonableness of answers using estimation.
     7.M.3 Identify customary and metric units of mass.
     7.M.4 Convert mass within a given system.
     7.M.12 Determine personal references for customary/metric units of mass.
     7.M.13 Justify the reasonableness of the mass of an object.
     7.CM.3 Organize and accurately label work.
     7.CM.2 Provide an organized argument which explains rationale for strategy
      selection.
     7.CM.6 Recognize and provide examples of the presence of mathematics in their
      daily lives.
     7.CM.10 Use appropriate language, representations, and terminology when
      describing objects, relationships, mathematical solutions and rationale.
Materials:

     Unit test
     Calculator
     Pencil

Procedure including links:

     Collect ticket for the test (the computer printout from session 5).

Assessment:

     Unit test

				
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