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Does It Matter?Does It Matter?
A Mathematical Investigation A Mathematical Investigation of Weight and Massof Weight and Mass
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EngageEngage
Objects have attributes Objects have attributes and properties that can and properties that can be measured.be measured.
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EngageEngage
KWL Chart -- Mass
What I What I KKNOWNOW
What IWhat I
WWANTANT
to Knowto Know
What I What I LLEARNEDEARNED
What do I What do I KKnow now (or think that I (or think that I KKnow)?now)?Brainstorm, Brainstorm, generate, activate generate, activate prior knowledgeprior knowledge
WW stands for stands for what I what I WWant to ant to learn.learn.Question, predict, Question, predict, set purposeset purpose
LL stands for stands for what I what I LLearned.earned.Review, reflect, Review, reflect, confirmconfirm
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EngageEngage
KWL Chart -- Weight
What I What I KKNOWNOW
What IWhat I
WWANTANT
to Knowto Know
What I What I LLEARNEDEARNED
What do I What do I KKnow now (or think that I (or think that I KKnow)?now)?Brainstorm, Brainstorm, generate, activate generate, activate prior knowledgeprior knowledge
WW stands for stands for what I what I WWant to ant to learn.learn.Question, predict, Question, predict, set purposeset purpose
LL stands for stands for what I what I LLearned.earned.Review, reflect, Review, reflect, confirmconfirm
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ExploreExplore
What can we do to make this table move?What can we do to make this table move? Would it be easier to move the table or this Would it be easier to move the table or this
pencil? Why?pencil? Why? Which would require more force to make it Which would require more force to make it
move, the table or the pencil?move, the table or the pencil?
Keep these ideas in mind as we do the Keep these ideas in mind as we do the next activity….next activity….
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ExploreExplore
Examine the materials in the bag on your Examine the materials in the bag on your table. table.
Design and conduct a fair test to answer Design and conduct a fair test to answer this key question:this key question:
How far will the golf ball How far will the golf ball move each of the gelatin move each of the gelatin boxes?boxes?
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ExploreExplore
Conduct 3 trials with each gelatin Conduct 3 trials with each gelatin box.box.
Record results to the nearest cm Record results to the nearest cm and average the results for each and average the results for each box.box.
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ExplainExplain
MassMassMass is the amount of matter Mass is the amount of matter
(stuff) in an object.(stuff) in an object.Using the word “mass,” explain Using the word “mass,” explain
why it would be harder to move why it would be harder to move the table….the table….
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ExplainExplain
A balance is a tool/instrument used to A balance is a tool/instrument used to measure mass.measure mass.
An object’s mass is determined by An object’s mass is determined by balancing it with objects of known mass.balancing it with objects of known mass.
In the SI (metric) system, units of mass In the SI (metric) system, units of mass include the kilogram, gram, and milligram.include the kilogram, gram, and milligram.
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ExploreExplore
What is the mass of each gelatin box? What is the mass of each gelatin box? Work as a team to predict and then Work as a team to predict and then
determine the mass of each box. Use at determine the mass of each box. Use at least two of the types of mass sets.least two of the types of mass sets.
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ElaborateElaborate
A A forceforce (________) causes the (________) causes the objectobject (________) to (________) to accelerateaccelerate (________). (________).
An object’s An object’s massmass is a measure of its is a measure of its inertiainertia or “unwillingness to move.” The full or “unwillingness to move.” The full box of gelatin has more ____ or ____ than the empty box.box of gelatin has more ____ or ____ than the empty box.
The more The more massmass something has, the harder it is to something has, the harder it is to accelerateaccelerate or move. The full or move. The full box with more box with more _____ is harder to _____._____ is harder to _____.
The amount of The amount of forceforce needed to needed to accelerateaccelerate an object an object
is directly proportional to the object’s is directly proportional to the object’s massmass. .
((More, LessMore, Less) force is needed to move the box with () force is needed to move the box with (more, lessmore, less) mass.) mass.
The amount of acceleration is inversely proportional to the object’s mass. The amount of acceleration is inversely proportional to the object’s mass.
The box with (The box with (more, lessmore, less) mass moves () mass moves (more, lessmore, less).).
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ElaborateElaborate
Mass is constant and does not change Mass is constant and does not change with location. with location.
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KWL Chart – MassKWL Chart – MassReflection & ClosureReflection & Closure
At your table, discuss…At your table, discuss… What you’ve learned about mass.What you’ve learned about mass. Any misconceptions regarding mass.Any misconceptions regarding mass. What questions you still have about mass.What questions you still have about mass. Be ready to share.Be ready to share.
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Materials ManagementMaterials Management
Organize the materials from this activity.Organize the materials from this activity. Straighten your tables.Straighten your tables. Secure the materials for Part 2: What Secure the materials for Part 2: What
Does a Kilogram Weigh?Does a Kilogram Weigh?
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ExploreExplore
““What Does a Kilogram Weigh?”What Does a Kilogram Weigh?” Work together as a team.Work together as a team. Fill your freezer bag with Fill your freezer bag with
approximately 1 kilogram of the approximately 1 kilogram of the material provided.material provided.
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ExploreExplore
Use a pan balance to check your Use a pan balance to check your estimates.estimates.
Adjust the contents of your bag to Adjust the contents of your bag to create a more accurate mass of 1 create a more accurate mass of 1 kg.kg.
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ExploreExplore
Hang your kilogram bag on the Hang your kilogram bag on the spring scale.spring scale.
Read the results to the nearest N.Read the results to the nearest N.
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ExplainExplain
A spring scale measures weight – A spring scale measures weight – the force of gravity acting on an the force of gravity acting on an object.object.
The SI (metric) unit for weight is The SI (metric) unit for weight is the newton (N).the newton (N).
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ExploreExplore
Use the input/output table to record Use the input/output table to record the weights of 1 kg, 2 kg, 4 kg, etc…the weights of 1 kg, 2 kg, 4 kg, etc…
How Much Does a Kilogram Weigh?How Much Does a Kilogram Weigh?
InputInput
Number of Number of kilograms (kg)kilograms (kg)
ProcessProcess OutputOutput
Number of Number of newtons (N)newtons (N)
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ExploreExplore
Will the full box (with more mass) Will the full box (with more mass) weigh more?weigh more?
Use the spring scale to weigh Use the spring scale to weigh each box.each box.
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ElaborateElaborate
Weighing the Baby Weighing the Baby Food Jar – Out of Food Jar – Out of WaterWater Record the weight Record the weight
in newtons to the in newtons to the nearest tenthnearest tenth
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ElaborateElaborate
Weighing the Baby Weighing the Baby Food Jar – Under Food Jar – Under WaterWater Record the weight Record the weight
in newtons to the in newtons to the nearest tenthnearest tenth
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ElaborateElaborate
Out of WaterOut of Water Under WaterUnder Water
Determining the Mass of the Baby Food JarDetermining the Mass of the Baby Food Jar
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KWL Chart – WeightKWL Chart – WeightReflection & ClosureReflection & Closure
At your table, discuss…At your table, discuss… What you’ve learned about weight.What you’ve learned about weight. Any misconceptions regarding weight.Any misconceptions regarding weight. What questions you still have about What questions you still have about
weight.weight. Be ready to share.Be ready to share.
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ClosureClosure
Mass is a fundamental property of matter Mass is a fundamental property of matter and is not dependent upon location.and is not dependent upon location.
Weight is a measure of gravitational force Weight is a measure of gravitational force and therefore varies with location.and therefore varies with location.
Both the SI (metric) and customary Both the SI (metric) and customary systems have units of mass and weight.systems have units of mass and weight.
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Check for UnderstandingCheck for Understanding
The weatherman has predicted flooding, and you have The weatherman has predicted flooding, and you have gone to buy bags of sand to stem the flow of water. gone to buy bags of sand to stem the flow of water.
You have to lift the bags of sand into the back of your You have to lift the bags of sand into the back of your truck. truck.
The roads are very wet. The bags of sand in the back The roads are very wet. The bags of sand in the back help to keep the truck from hydroplaning. help to keep the truck from hydroplaning.
However, you are going too fast and your truck runs off However, you are going too fast and your truck runs off the road into a muddy ditch. Now you are going to have the road into a muddy ditch. Now you are going to have to get help to push or pull the truck out of the ditch.to get help to push or pull the truck out of the ditch.
Have participants determine whether the statements Have participants determine whether the statements below exhibit a concern about below exhibit a concern about weightweight or or massmass::
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Materials ManagementMaterials Management
Organize and return the materials from Organize and return the materials from this activity.this activity.
Straighten your tables.Straighten your tables. Throw away trash.Throw away trash.