Benchmark � A handy reference

    point to help in understanding t he

    magnitude of numbers

    Customary System � A complex

    measurement system that originated

    primarily in the Britis h empire and

    includes t he units of measure inch,

    y ard, pound and gallon

    Metric System � A measurement

    system used throughout the world

    that is based on t he power of 10

    Scientific Notation � A short way to write very large or very small num-

    bers Standard Notation � The most common form of writ ten numbers.

    For example, 254 is the standard

    notat ion for 2 hundreds, 5 tens, and

    4 ones

    Data Around Us

    Glossary

    Connected Mathematics Project Everet t Public Schools Mathematics Program

    Proposed Time Frame:

    Approximately 6 weeks

    Data Around Us

    Number Sense

    Unit Goals:

    Understanding and comparing

    large numbers Choosing appropriate uni ts of measure and understanding

    the notation used to express

    large numbers Estimating with large num bers Calculating with large numbers Determining population density

    Web Resources

    Spreadsheet

    http://www. nytimes.com/learning/

    teacher s/

    lessons/19990506thursd ay_print.html

    The New York Times Learning Net-

    work Lesson Plan Developed in Partnershi p with The

    Bank St reet College of Education in

    New York City http:// www.nytimes.com/learning

     

    Tips for Helping at Home

    Good questions and good listening w ill

    help children make se nse of mathemat-

    ics an d build self-confidence. A good

    question opens up a problem and su p-

    ports different ways of thinking about it.

    Here are some questions you might try,

    notice that none of them can be an-

    swered with a simple �yes � or �no�.

    Getting Started

    What do you need to find ou t?

    What do you need to know?

    What terms do you understan d or

    not understand?

    While Working

    How can you organize the inf orma-

    tion?

    Do you see any patterns or relation-

    ships that w ill help solve this?

    What would happen if�?

    Reflecting about the Solution

    How do you know your answer is

    reasonable?

    Has the question been answ ered?

    Can you explain it another w ay?

    At Home:

    1 Talk with your child about

    what�s going on in mathem atics

    class.

    2 Look for ways to link mathe-

    matical learning to daily activi-

    ties. Encourag e your child to

    figu re out the amounts for halv-

    ing a recipe, estimating gas

    mileage, or figuring a restau-

    rant tip.

    3 Encourage y our child to sched-

    ule a regular time for home-

    work and provide a comfortable

    place for their study , free from

    distractions.

    4 Monitor y our child�s home-

    work on a regular basis by

    looking at one problem or ask-

    ing your child to briefly de-

    scribe the focus of the home-

    work. When your child asks

    for help, work with them in-

    stead of doing the problem for

    them.

    At School

    1 Attend Open House, Back to

    School Nigh t, and after school

    ev ents.

    2 Join the parent-teacher organi-

    zation

    Investigation 1: Interpreting Disaster Reports

    Consider some of the issues rela ted to working with

    large num bers, including accuracy of reported num-

    bers, methods of determining reported m easures,

    and language used to mak e numerical comparisons

    Review operations with large num bers

    Investigation 2: Measuri ng Oil Spills

    Revisit the ways that num bers are used in measure-

    m ent to describe objects and events

    Begin building a repertoire of m easurement bench-

    marks for use in relating measurement information to

    things that are personally meaningful

    Develop skill in using benchmark strategies

    Investigation 3: C omparing Large Numbers

    Read and write large numbers

    Round numbers to make judgm ents about the de-

    gree of accuracy of numbers

    Compare large numbers by orderi ng and with rates

    Inv estigation 4: How Many is a Million?

    Build a concrete understanding of a million in a vari-

    ety of contexts

    Review and extend the concept of pl ace value as it

    relates to readi ng, writing and using large numbers

    Review and extend the use of ex ponents

    Write and interpret large num bers using scientific

    and calcul ator notation

    Estimate with large numbers

    Investigation 5: Every Litter Bit Hu rts

    Further develop operation sense, the ability to

    choose the numbers and operations needed to an-

    swer specific questions from given inform ation

    Investigate how small quantitie s can accumulate to

    produce a la rge quantity

    Investigation 6: On an Average Day

    Make decisions about the best way to compare

    quantities

    Apply various strategies for writi ng and comparing

    quantities

    Use appropriate benchmarks to make sense of large

    numbers

    Connected Mathematics Project

    Mathematics in

    Investigations

    Phone: 425-385-4062

    Fax: 425-385-4092

    Email: mstine@everett.wednet.edu

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