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Q: Aren't "weight" and "mass" the same?

A: Not really.

An object has mass (say 100 kg).

This makes it heavy enough to show a weight of "100 kg".

But the scales are only showing a guess of the mass above them!

Gravity causes Weight

An object's weight is how hard gravity is pulling on it.

We think the weight is the same everywhere ... because we all live on the surface of the planet Earth!

But in orbit it would not push on the scales at all.

The scales would show 0 ...
... but the mass is still 100 kg !

An object's mass doesn't change (unless you remove some!), but its weight can change.

On the Moon the scales would wrongly show 16.6
for a mass of 100 kg

Because the pull of gravity on the Moon
is much less than on Earth

So Why Do People Say Weight instead of Mass?

People often use "weight" to mean "mass", and vice versa, because Gravity is almost the same everywhere on Earth and we don't notice a difference.
But remember .. they do not mean the same thing,
and theycan have different measurements.
Weight is a Force

So ... if weight and mass are different, why are they both in kilograms?

Well, weight should not really be in kilograms!

I have used "kilogram" so far because that is what you see on a pair of scales, but it is technically wrong to talk about weight in kilograms ...

... weight is a force ...

... which is measured in Newtons

Newtons

The correct unit for force is the Newton (=1 kg·m/s ²) which is abbreviated N.

On the Earth's surface gravity makes a
1 kilogram mass exert about 9.8 Newtons of force

So a 100 kg mass really weighs about 980 Newtons on Earth.

Why Do Scales Show Kilograms?

Scales show Kilograms because that is what people understand best ...

... but it is really just an estimate of the mass above them.

Scales should really show Newtons, but that might confuse people!
Question: how many Newtons should the scales show when you stand on them (hint: multiply kg by 9.8)?

So the scales show an estimate of your mass based on the force your body exerts on it.

And to find out how much force your body is exerting on the scales, multiply by 9.8 (to convert kg into Newtons).

Apparent Weight

But scales can be fooled ... because they measure a "downwards force" and don't know if it is gravity or some other force!
Just jump up and down (gently!) on your scales at home to see your apparent weight change, while your mass stays the same.
So your mass is the same, and your weight is the same (because the force of gravity hasn't changed), but your "apparent" weight changes. Read more at Apparent Weight

Conclusion

Mass is a measure of how much matter something contains

Weight is a measure of how strongly gravity pulls

Apparent Weight is a measure of downwards force

Force is measured in Newtons, not kilograms

When scales show "kg" it is just an estimate of the mass above them

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Q: Aren't "weight" and "mass" the same? A: Not really. An object has mass (say 100 kg). This makes it heavy enough to show a weight of "100 kg". But the scales are only showing a guess of the mass above them! An object's weight is how hard gravity is pulling on it.

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Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

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Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

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The amount that something can hold.

Usually it means volume, such as milliliters (ml) or liters (l) in Metric, or pints or gallons in Imperial.

Example: This glass has a capacity of 300 ml (but is actually holding only 160 ml)

Capacity can also be general: "He has a great capacity for work"

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The amount that something can hold. Usually it means volume, such as milliliters (ml) or liters (l) in Metric, or pints or gallons in Imperial.

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Grade 4

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Reflection-Translation-Rotation

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Shapes in Motion Shapes - Geometry: Math Games

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Learn about quadrilaterals the fun way in this Shapes in Motion Math Game.

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Uploaded by KSAMathematics on 2011-02-07.

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How to Reflect Shapes on the Cartesian Plane

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Shape Translations Higher and Foundation

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Uploaded by KSAMathematics on 2011-01-19.

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Transformation Game for Kids

Have fun learning about transformation, rotation and reflection with this interactive math game for kids.

Complete a number of activities that will test your skills. Place a mirror line in the correct position to reflect the house on to its shadow before moving on to other tasks such as rotating the house clockwise and anti-clockwise. Finish as many challenges as you can and enjoy improving your math skills online.

Not working? Try downloading the game and running it through flash player from your desktop.
Download Transformation Game
Download Flash Player (PC)
Download Flash Player (Mac)

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Transformation, Rotation & Reflection - Free Math Games for Kids

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Transformation Game for Kids Have fun learning about transformation, rotation and reflection with this interactive math game for kids. Complete a number of activities that will test your skills. Place a mirror line in the correct position to reflect the house on to its shadow before moving on to other tasks such as rotating the house clockwise and anti-clockwise.

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Colin Dodds - Geometric Transformations (Math Song)

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Learn basic flat and solid shapes with this fun math game.

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4th grade review over edges, faces, and vertices

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How to draw 3d shapes (pyramid, cube, cylinder, prism)

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Teacher resources and professional development across the curriculum

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Introduction

The clock for learning time has movable hands. It has three main modes, the first demonstrates how to tell the time using an analogue clock. The second mode uses the the clock hands as a way of learning angles. The third mode uses the clock as a way to help understand fractions. The clocked can be altered to change colors and its overall styling. Note in this activity different controls are shown depending on the current mode

Common Controls

The controls above the mode selector are always displayed. At the top you will see a digital clock, below are three buttons. Click the 12 button to display in normal 12 hour format with AM/PM. Click 24 button to change to the 24 hour format. Often you won't want to display the time at all, click off and the digital clock will disappear.

The clock can be used to display the current time (based on the clock of the computer you are using). Click the real time to toggle this feature. This is useful as children can observe how the clock changes throughout the day. For random time problems click the random button and the clock hands will spin to produce a random time. So this is great for lots of quick fire questions.

When the clock is not showing the actual real time, then small handles appear at the end of the hands, these and dragged into position.

Time mode controls.

First select time mode, below are a set of controls. These can be used in time problems or to view how much time has elapsed when showing the actual real time. The first one displays the hours passed. The second one the minutes that have passed. Underneath reset button sets both back to zero.

So a brief example of how to use them would be click random time. Now ask what the class what time will be in say 1hour and 25 minutes. To demonstrate this click reset, so both minutes and hours are zero. Now drag the clock hand forward until the hours is 1 and the minutes is 25. The clock now displays the answer to the initial problem.

Angles mode

Clocks have always been a useful way to teach about angles. This clock has angle measurements built in. First set the mode to angles, to get the control set.

In angles mode you will now see a protractor button click it to toggle the display of the protractor. Next is the auto toggle button, click to turn it on and you will notice the protractor lines up automatically to measure the angle. Move the clock hands and the protractor will follow. Below the protractor button is a slider use this to change the size of the protractor. When measuring angles the large clock hands can be made thin for better accuracy by clicking thin. To display the angle click Ang, and click Arc to display the angle arc. When dragging the minute hand it currently snaps to the nearest minute, turn this feature off by clicking snap. Finally the type of angle can be changed using the select control. So you can choose the angle between the hour hand and minute hand, both clockwise and anti-clockwise. Or measure the angle of the second hand from 12 o'clock. This works very well with the realtime setting as children can see a full angle of 360° turned every minute. This helps learning of key angles such as 0°, 90°, 270° etc. Also conversions such as 30 secs * 6 = 180°

Fractions mode

Select fraction on the mode control to use the clock to teach fractions. Time statements such as 'a quarter past', 'half past' and 'a quarter to' obviously are linked to fraction.

In the fraction mode a circle sector is painted from 12 o'clock to the minute hand position. Two large fractions are displayed the fraction of an hour shows the unsimplified fraction of minutesÃ·60. The simplified fraction is the same fraction cancelled down when possible.

The simple button toggles removal of the hour and second hands to give a simplified view. You can also click thin to toggle the thinner clock hands. The clock is divided according to the divider lines control. The default setting is auto, this divides the clock according to the fraction displayed. Essentially the clock is divided depending on the simplified fraction. However you can turn off auto mode and divide the clock according to the number selected.

Percentages can also be shown by clicking to toggle the percentage display.

Styling the Clock

Select the style mode to access controls. So for example to change the colour of the numbers, click numbers followed by a colour from the colourpicker. To remove the numbers completely click 'X' in the colour picker. You can do this with other parts of the clock too, which obviously can make reading the clock more difficult.

Related activities

Further lessons on the telling the time involve comparison of two different times the two clocks activity is excellent in this regard and can also generate time questions.

To expand on the angles try Basic angles which can be used to examine types of angles such as acute,obtuse and reflex. It can also so be used to create many different types of random angle problems.

Having seen a circular fraction in this activity, the interactive fraction wall can also be used for further teaching of fractions.

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Interactive clock | analog clock | digital | movable | teaching clock | visnos

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Visnos Interactive clock. Simple to teach telling the time using a colourful classroom analog clock. Show equivalent digital clock time. Step by step learn about hours, minutes and seconds. Simply click and drag the movable hands. The clock can also be used to teach about fractions and angles.

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Beginner 2 English Course: Calendar Vocabulary - Days, Weeks, Months, Years, and Seasons

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T-Chart Strategy

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Numberline Strategy

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Elapsed Time: How to Solve Elapsed Time on a Number Line

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Telling Time For Children - Learning the Clock

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Access transformational geometry lessons, activities and resources.

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All things that are much more than flat!

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The Basics, To the Nearest Minute,  Elapsed Time

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Probability of Compound Events & Tree Diagrams

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Uploaded by MrsSteelePreAlgebra on 2012-02-02.

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Math Antics

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Math - Probability Worksheet Printable.pdf

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Create a spinner of your choosing. Add or delete sectors, change their sizes and colors, go wild.

Make sure the Number of Spins is 1, and click the Spin button.

How does the experimental probability compare to the theoretical probability?

Click the Spin button a few more times. What happens?

Change the Number of Spins to 100, and click the Spin button.

How do the experimental and theoretical probabilities now compare?

Hit the Spin button a few more times. What happens?

What would you expect to happen if you hit the button many times?

Increase the Number of Spins to a very large number (the maximum allowed is 99,999).

Hit the Spin button one or more times?

Now compare the theoretical and experimental probabilities. What do you notice?

Was your prediction correct?

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Use this tool to create a spinner to examine experimental and theoretical outcomes.

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Warning: Your browser does not support JavaScript - RANDOM.ORG may not work as expected

Advisory: We only operate services from the RANDOM.ORG domain. Other sites that claim to be operated by us are impostors. If in doubt, contact us.

Dice Roller

This form allows you to roll virtual dice. The randomness comes from atmospheric noise, which for many purposes is better than the pseudo-random number algorithms typically used in computer programs.

Confused about terminology? The word 'die' is singular and 'dice' is plural.

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This page allows you to roll virtual dice using true randomness, which for many purposes is better than the pseudo-random number algorithms typically used in computer programs.

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Online virtual coin toss simulation app. Simulate a random coin flip or coin toss to make those hard 50/50 decisions from your mobile Android, iPhone, or Blackberry phone or desktop web browser.

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The video explains the best way to understand the Probability Line! To view more interesting videos about Probability, please visit https://DontMemorise.com Don't Memorise brings learning to life through its captivating FREE educational videos. New videos every week.

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Improper and Mixed Fractions Visual  Worksheet.pdf

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Homework

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Homework

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Working with and Comparing Parts of a Whole

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Working with and Comparing Parts of a Whole

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Math Antics

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Math Antics

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Money - Coins and Bills Practise Problems.pdf

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Decimal Place Value, Comparing And Ordering

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Decimal Place Value, Comparing And Ordering

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Anchor Charts

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Math Antics

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Decimal Values

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Fun arcade style math game teaches decimal comparisons.

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Math Games: Fruit Shoot Decimal Comparisons

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Learn how to compare decimals the fun way with Fruit Shoot Decimal Comparisons math game.

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Decimal Values

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Balloon Pop Math - Decimal Order- Level One

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Learn how to order decimals from least to greatest with this fun math game.

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Text Activities

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Reading

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Resources, Activities, Lessons

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Math Antics

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Creating & Communicating About Graphs

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POW - Creating & Communicating About Graphs.pdf

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To know the best way to choose a scale of a graph, please visit https://DontMemorise.com . Don't Memorise brings learning to life through its captivating FREE educational videos. New videos every week.

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Reading & Understanding Graphs

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How to make a simple bar graph or Historgram for children.

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Gmail Login Required

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A step by step long division game that allows students to practice their long division skills in a supportive and fun environment. Your students teach a lovable monster named Snork how to do long division. As students complete each step of the long division math problems, Snork is visibly amazed by the intelligence of the students.

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Snork's Long Division Game - Kids Numbers

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A step by step long division game that allows students to practice their long division skills in a supportive and fun environment. Your students teach a lovable monster named Snork how to do long division. As students complete each step of the long division math problems, Snork is visibly amazed by the intelligence of ...

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Math Antics - Long Division with 2-Digit Divisors

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Math Antics - Multi-Digit Multiplication Pt 1

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Multiplying & Dividing with Greater Numbers

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Multiplying & Dividing with Greater Numbers

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Textbook Ch. 9, 10

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CH9-10 - Multiplication & Division with Greater Numbers - Google Drive

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search

Enriching mathematics for all learners

A free-to-use collection of mathematics activities, lessons and problems designed to nurture curious, resourceful and confident learners of mathematics. Produced by The University of Cambridge.

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The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.

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POW - Multiplication & Division Strategies

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POW - Multiplication & Division Strategies

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Feb. 15th

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x 2 or /