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Level Two > Geometry and Measurement

Party Volumes

Purpose: 

In this unit students build on previous experiences with litres and millilitres. Work is carried out in the context of planning a party with students measuring volumes accurately as part of the planning process. It is suggested this unit follows the units Popcorn and How Much Cereal? which involve students working with litres, half litres and cups.

Specific Learning Outcomes: 

estimate volume using litres and millilitres

accurately measure volume using litres and millilitres

Description of mathematics: 

When students can measure areas effectively using non-standard units, they are ready to move to the use of standard units. The motivation for moving to this stage, often follows from experiences where the students have used different non-standard units for the same volume. This allows them to appreciate that consistency in the units used allows for easier and more accurate communication.

The usual sequence used in primary school is to introduce the litre as a measurement of volume before using cubic centimetres and cubic metres.

Students’ measurement experiences must enable them to:

 

  • develop an understanding of the size of a litre and 10 millilitres. (1 millilitre is too small to be appreciated)
  • estimate and measure using litres and millilitres
  • develop an understanding of the size of a cubic metre and a cubic centimetre
  • estimate and measure using cubic metres and cubic centimetres

The standard units can be made meaningful by looking at the volumes of everyday objects. For example, the litre milk carton, the 2-litre ice-cream container and the 100-millilitre yoghurt pottle. Students should be able to use measuring jugs and to say what the measuring intervals on the scale represent.

Required Resource Materials: 
Resources needed explained as part of activity
Activity: 

Resources

Station One:

  • A variety of different size and shape drinking glasses, kitchen measuring jugs or measuring cylinders marked to the nearest 10 mL
  • water
  • paper and pencil
  • student instructions on copymaster one 

Station Two:

  • A variety of different size and shape bowls
  • kitchen measuring jugs or measuring cylinders marked to the nearest 10 mL
  • water
  • paper and pencil
  • student instructions on copymster two 

Station Three:

  • Lightweight cardboard, pencils, rulers, scissors, sellotape
  • kitchen measuring jugs or measuring cylinders marked to the nearest 10 mL
  • sand
  • paper and pencil
  • student instructions on copymaster three .

 

Station Four:

  • Several different cake tins of a variety of shapes and sizes: ring tins, square tins and a roasting dish
  • kitchen measuring jugs or measuring cylinders marked to the nearest 10 mL
  • water
  • paper and pencil
  • student instructions on copymaster four

Station Five:

  • Several bottles of different volumes to be used as sauce bottles
  • kitchen measuring jugs or measuring cylinders marked to the nearest 10 mL
  • water
  • paper and pencil
  • student instructions on copymaster five .

  Introduce the students to the concept of birthday party’s and discuss what happens at these. Explain that this week they will be working at different stations to help prepare for a party. In each of these stations they will need to measure volume accurately. Points that may need to be discussed as work progresses include:

  • The importance of estimation and the value of accurate estimation.
  • The relationship between millilitres and litres.
  • Reading volumes and scales to an appropriate accuracy. Sometimes it will be possible to estimate half way between marked volumes.

Station One

In this station students accurately measure the volume of a variety of different drinking glasses.

Student instructions (copymaster one)

In this station you need to estimate and measure the volume of different glasses for drinks at the party.

  1. Estimate the volume of each of the glasses in mLs. Record your estimates.

    Which glass do you think will hold the most?
    Which will hold the least?
    Which glasses will hold a similar amount?

  2. Use the measuring equipment to measure the volume of each of the glasses. Record your results in a table as you work.

    Compare your results with your estimates. How close were your estimates?

    Which glass held the most?
    Which held the least?
    Which glasses held a similar amount?

     

Glass

Estimated Volume

Measured Volume

1

 

 

2

 

 

3

 

 

Station Two

In this station students accurately measure the volume of a variety of bowls that could be used to make jelly.

Student instructions (copymaster two)

In this station you need to estimate and measure the volume of different bowls used to make jelly for the party.

  1. Estimate the volume of each of the bowls in litres and mLs. Record your estimates.

    Which bowl do you think will hold the most?
    Which will hold the least?
    Which bowl will hold a similar amount?

  2. Use the measuring equipment to measure the volume of each of the bowls. Record your results in a table as you work.
  3. Compare your results with your estimates. How close were your estimates?

    Which bowl held the most?
    Which held the least?
    Which bowls held a similar amount?

Bowl

Estimated Volume

Measured Volume

1

 

 

2

 

 

3

 

 

 

If each packet of jelly made 1 litre how many packets would be needed for each bowl?
How many packets would be needed for all the bowls?

 

Station Three

In this station students make baskets to hold lollies and measure the volume of the baskets they have made.

Student Instructions (copymaster three)

In this station you will make baskets to hold lollies for the party and measure the volume of the baskets you have made. Can you make three baskets that hold different amounts?

  1. Make a basket: Take a rectangular shape and cut squares of the same size out of each corner of the rectangle. Cut out the shape and tape up the sides. Cut a strip for a handle and tape it on.

Rectangular shape and cut squares

  1. Estimate the volume of your basket. Record your estimates on a table.
    Which basket will have the greatest volume?
    Which will have the least?
  2. Measure the volume of your baskets using the sand and the measuring equipment. Record your results in a table as you work
  3. Compare your results with your estimates. How close were your estimates?

    Which basket held the most?
    Which held the least?

 

Basket

Estimated Volume

Measured Volume

1

 

 

2

 

 

3

 

 

Station Four

In this station students measure the volume of a variety of cake tins and predict which recipe would be best to use for each tin.

Student Instructions (copymaster four)

In this station you need to measure the volume of the different cake tins, then decide which recipe mix would be best for each tin. Remember that the cakes will rise when they are cooked!

  1. Estimate the volume of each of the cake tins. Record your estimates on a table.
  2. Measure the volume of each of the cake tins using water and the measuring equipment. Record your measurements.
  3. Compare your results with your estimates. How close were your estimates?

    Which tin held the most?
    Which held the least?

  4. Which of the recipes below would be best for each tin? You will need to add up the volume of ingredients and allow for the cake to rise when baked to be able to make a good decision.

Cake Tin

Estimated Volume

Measured Volume

Best Recipe

ring tin

 

 

 

square tin

 

 

 

roasting dish

 

 

 

Recipes

Absurdly Easy Chocolate Cake (from http://www.boutell.com/vegetarian/cake.html)

Ingredients

3 cups flour (750 mL)
2 cups sugar (500 mL)
6 tablespoons cocoa (90 mL)
2 teaspoons baking soda (10 mL)
1 teaspoon salt (5 mL)
3/4 cup vegetable oil (190 mL)
2 tablespoon vinegar (30 mL)
2 teaspoon vanilla (10 mL)
2 cup cold water (500 mL) 
 

Directions

Mix the dry ingredients. Add the wet ingredients. Stir until smooth. Bake at 180ºC for at least 30 minutes.

One Mix Chocolate Cake

Ingredients

1 cup self raising flour (250 mL)
1 cup sugar (250 mL)
50 grams melted butter (50 mL)
1/2 cup milk (125 mL)
2 eggs
2 Tbsp. cocoa (30 mL)
1 tsp. vanilla (5 mL)
 

 Method

Mix all ingredients together in a large bowl with a wooden spoon. Bake at 180ºC for about 30 minutes.

Daisy’s Easy Chocolate Cake (from http://www.chelsea.co.nz/ViewRecipe.aspx?id=384)

 Ingredients

 1 1/2 cups sugar (375 mL)
1 cup cold water (250 mL)
125g butter (125 mL)
2 Tablespoons cocoa (30 mL)
1/2 teaspoon baking soda (2.5 mL)
2 eggs, well beaten
1 1/2 cups self-raising flour (375mL)

Method

Put sugar, water, butter, cocoa and soda into a large pot.
Stir over low heat until butter has melted, then bring to the boil.
Simmer for 5 minutes and remove from heat.
When mixture has cooled, stir in beaten eggs. Sift in the flour and beat well.
Bake at 180°c for 50-60 minutes.

Station Five

In this station students calculate and measure the volume of sauce needed for cheerio’s at the party.

Student Instructions (copymaster five)

  1. In this station you need to estimate and measure the amount of sauce needed for cheerio’s at the party.
  2. Estimate the volume of sauce in each of the bottles. Record your estimates on a table.
  3. Measure the volume of sauce in each bottle using water and the measuring equipment.  Record your results on a table.
  4. If each person uses 10mL of sauce, how many people will be able to use each of the sauce bottles? Estimate then measure for each bottle, recording your results on a table.

Bottle

Estimated Volume

Measured Volume

Estimated number of 10 mL portions

Measured number of 10 mL portions

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. If each person uses 15mL of sauce, how many people will be able to use each of the sauce bottles?
  2. How much sauce is contained in all of the bottles put together? Estimate then measure.

 

AttachmentSize
PartyVolumesCM1.pdf59.23 KB
PartyVolumesCM2.pdf61.6 KB
PartyVolumesCM3.pdf66.45 KB
PartyVolumesCM4.pdf74.42 KB
PartyVolumesCM5.pdf47.25 KB

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