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  • 8/8/2019 1CheckedLincoln,WitHow Big is a Million AssessmentARichel

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    Well done, your second

    investigation was completed withergreater accuracy and a more

    efficient plan.

    What have I learned aboutsolving problems using the

    number 1,000,000?

    Post Assessment

    NIST Year 6

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    Instructions

    Work with a partner. Read through the problem.

    Devise a plan to solve your problem and put the plan into action.

    Prepare a short oral presentation to explain to your class how yousolved your chosen problem. Your explanation must include

    [1] Your original plan of how to solve the problem.

    [2] A step by step guide of what you did to get your answer.

    [3] Details of any changes to your original plan and why thosechanges were made.

    [4] A detailed explanation of all your working out.

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    Our Chosen Problem

    Paste the problem you have chosen here:

    Problem 2

    Meredith is in training for the 2012

    Olympics. She should swim at least1,000,000 meters during 2009. How

    many laps of the pool will she need to

    swim in order to swim1,000,000

    meters? How many laps should she

    swim each day?

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    Our PlanWrite your plan of how you will solve the problem here:

    1. 1,000,000 divided by 25

    2. The answer of step 1 divided by 365

    3. If there is a remainder, average it out and round it into a day.

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    Working out the answer

    Show how have worked out your answer here.

    The pool is 25 meters. 1,000,000 divided by 25 is 40,000. 40,000 divided by365 (days of the year) is around 109.589. So the closest we can get isaround 110 laps per day but 104 for 1 day, which would balance it out

    and make it closer the actual answer.

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    Our Solution!

    110 laps per day but 104 laps

    for one day

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    How did we work it out?Write a step by step guide of what you did to get your answer.

    You may need more than one slide.

    Include details of any changes to your original plan and why those

    changes were made.1. 1,000,000 divided by 252. The answer of step 1 divided by 3653. If there is a remainder, average it out and round it into a day.That was our original plan but the changes we made were that we didntaverage it out into all the days, just one day.

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    RE FL EC TRE=Really Empowered, FL=Feel like learning, EC=Effort could improve this,

    T = Tell me more!

    Number Knowledge

    and Operations

    RE FL EC T Comment

    Did we know enough

    about 1,000,000 to

    solve this problem?

    RE Yes, because of the first problem we did.

    Did we understanding

    how a numbers place is

    connected to its value

    or size help me to solve

    the problem?

    RE Yes, because we did the million and we cut out some zeroes

    along the way.

    What strategies did Iuse? Explain

    (division,

    multiplication,

    subtraction, factors,

    multiples, etc)

    RE We used multiplication to check over our work, and division todo the actual solving of the problem.

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    RE FL EC TRE=Really Empowered, FL=Feel like learning, EC=Effortcould improve this, T = Tell me more!

    Problem Solving Strategies RE FL EC T Comment

    1. Did we create a good plan and change it whenneeded?

    RE Wechanged the part where we would put the average into the whole because then the number would be withdecimals.

    2. Did we organise for different people to help

    or complete different tasks?

    RE We allocated the roles by letting Wit type and most of the multiplication related checking but Lincoln did most

    of the real division and getting our first asnwer.

    5. How did I use familiar landmarks

    (or groups of numbers) to solve the problem? FL Lincoln didnt really do grouping numbers but Wit did in the multiplication checking.

    How did I check my estimations? FL Lincoln did estimate numbers around a hundred andmultiplied them by 365 then again by 25.

    How did I check my calculations? RE We did multiplication after we got the answer.

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    How Does the Number 1,000,000

    help us learn number strategiesthat help with everyday life?

    Pre Assessment

    NIST Year 6

    What do I know

    about

    1,000,000?

    Welldone, you worked quickly and efficiently.

    Next time you need to:Check your plan make sense.

    Link the solution to the unit of measure andproblem.

    Choose a more challenging problem.

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    Instructions

    Work alone or with a partner. Read through the problem.

    Devise a plan to solve your problem and put the plan into action.

    Prepare a short oral presentation to explain to your class how yousolved your chosen problem. Your explanation must include

    [1] Your original plan of how to solve the problem.[2] A step by step guide of what you did to get your answer.

    [3] Details of any changes to your original plan and why thosechanges were made.

    [4] A detailed explanation of all your working out.

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    Our Chosen Problem

    Choose a problem from the slides at the endof this presentation and paste it here:

    Problem 1

    We are recreating the junior school library. Itneeds to house 1,000,000 books that are on

    average about the same width as an Oxford

    dictionary. How many meters of shelving willwe need?

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    Our PlanWrite your plan of how you will solve the problem here:

    We will measure the width of an oxford dictionary and multiply thewidth of it by a million and then divide it by 100 (as there are 100centimeters in a meter) so that we can find how many meters ofshelving we need.

    Please revise your plan to ensure it makes sense in the future.

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    How did we work it out?Show how you have worked out your answer here.Write a step by step guide of what you did to get your answer.

    You may need more than one slide.

    Include details of any changes to your original plan and why those changes were made.

    1. We measured an Oxford dictionary . The width was approximately5 centimeters.

    2. We multiplied it by a million, which equals 5,000,000 centimetres.

    3. We divided it by a hundred, which equals 50,000 meters, which is

    the answer to this question.

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    Our Solution!

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    RE FL EC TRE=Really Empowered, FL=Feel like learning, EC=Effort could improve this,

    T = Tell me more!

    Number Knowledge

    and Operations

    RE FL EC T Comment

    Did I knowenough about

    1,000,000 to

    solve this

    problem?

    RE We knew enough about a million to be able to find the answer.,but the steps were sometime a little bit too easy for one of us, a

    little confusing for the other one of us.

    What strategies

    did I use?RE Multiplying, getting rid of zeroes, dividing, converting.

    How did I use

    estimates?FL We estimated the book width and we came to a conclusion about

    5 centimetres which was the answer so we were about right.

    After we got our first answer, we used another method to check.

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    Problem 1

    We are recreating the junior school library. It

    needs to house 1,000,000 books that are onaverage about the same width as an Oxford

    dictionary. How many meters of shelving will we

    need?

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    Problem 2

    Meredith is in training for the 2012 Olympics. She should swimat least 1,000,000 meters during 2009. How many laps of the pool

    will she need to swim in order to swim to swim 1,000,000 meters?

    How many laps should she swim each day?

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    Problem 3

    The more we read, the better at reading we will

    become. Approximately how many pages of a

    newspaper should we read in order to read 1,000,000

    words?

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    Problem 4

    The NIST High school students are going to organise a

    mini Olympics. The cafeteria ladies need to prepare

    1,000,000 millilitres of ice cold water. How many NIST

    drinking bottles will they be able to fill?

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    Problem 5

    Varakorn is in training for the 2012 Olympics.He should run at least 1,000,000 meters

    during the year 2009. How many laps of the

    oval will he need to run in order to run1,000,000 meters? How many laps should

    he run each day?

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    Problem 6

    The space created by the dots on the ceiling save

    paint. A painter is coming to repaint the ceiling of your

    class and he needs to know the approximate number

    of dots on classrooms ceiling.

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    Problem 7

    Someone has an OCD and would like to find out the

    number of flecks in the floor of the corridor outside of

    the classroom. Approximately how many flecks are

    there?