How big Is a Million JearEing Ja
Transcript of How big Is a Million JearEing Ja
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Well done, the planning andaccuracy of your secondinvestigation was much
better than the first.
What have I learnedabout solving 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:
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Our PlanWrite your plan of how you will solve the problem here:
We are going to use the trundle sticks to measure how far you run around theoval.
Then we will divide the number by a millionAfter that we will then divide it by 365
Next we will then round it up to the nearest 1
We will then get the answer
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Working out the answer
Show how have worked out your answer here.
We had an estimate of 125m around the oval.
We divided 15 by a million (1,000,000 125=8,000)
We divided 8,000 by 365 (8000 365= 21.9 round up to 22)
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Our Solution!
Varakorn needs to run
22 laps a day to run a
million metres in2009.
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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.
We needed to use the trundle stick to measure the oval and we got the answer of125m. We then divided a million by 125 to get 8,000, this means that Varakornwill have to run 8,000 laps in the year of 2009.
The Question was how many laps Varakorn has to run in a day so we divided8,000 by 365 since 2009 is not a leap year. 8000 divided by 365=21.917808219178082191780821917808 but we rounded it up to 22 becausethere are to many decimals. Our answer is Varakorn has to run 22 laps aroundthe oval in a 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 I know enough
about 1,000,000 to
solve this problem?
RE Yes because we learned enough
about a million to divide it easily.Did understanding
how a numbers
place is connected
to its value or size
help me to solve the
problem?
FL Yes because when we divide we
took out all the zeros and added
them later.What strategies did
I use? Explain
(division,
multiplication,
subtraction, factors,
multiples, etc)
RE We used Rounding and division to
solve this 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 andchange it when needed? FL We created a good and detailed plan so we did not change it.
2. Did we organise for different
people to help or complete
different tasks?
EC Not much because Jeareing was doing something different while Imeasured the oval.
5. How did I use familiar landmarks (or
groups of numbers) to solve the
problem?
RE We used groups of 10 to round how many laps Varakorn has
to run each day.
How did I check my estimations?FL We checked our estimations by walking the trundle stick
around the oval several times but it hardly matched so we
averaged.
How did I check my calculations?RE We checked our calculations using a calculator to recheck it
and give more info such as decimals.
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How Does the Number1,000,000
help us learn numberstrategies that help witheveryday life?
Pre Assessment
NIST Year 6
What do I know
about
1,000,000?
Well done you workedquickly and accurately.Next time make sure
your plan makes sense.
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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:
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Our PlanWrite your plan of how you will solve the problem here:
We will measure the pool and then use the info to divide 1,000000m
We have to use the answer to be divided by 365 and we will round it tothe nearest half or to the nearest number then that is the answer.
This plan is too vague to understand. See below:
1. We will measure the pool.
2. We will divide a million by the measurement of the pool.
3. We will divide the answer by 365 to work out the distance which mustbe swam each day.
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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.
First we went to the pool and asked Mr. Wanchai how long the pool is (25m),
Next we divided a million by 25m (40,000 laps),
Then we divided 40000 laps by 365 (109.5 laps) or(109.58904109589041095890410958904)
Well done!
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Our Solution!
Meredith has to swim
100 and a half lapsevery day to swim a
million metres.
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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 think that this was challenging a bit because a million is quitea big number but since we learned about a million before, it got
easier.
What strategies
did I use?FL We used division and addition to solve this problem.
How did I use
estimates?RE We used estimates by not entering the exact number of how
many laps she has to swim per day because the exact number has
a lot of decimals.
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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 with 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?