Australian Curriculum Year 6 Connect volume and capacity and their units of measurement ACMMG138 Key Ideas Connect volume and capacity and their units of measurement recognising that 1 ml is equivalent to 1cm3 Context for Learning -­‐ Real life experiences: Many products in the supermarket are sold by volume or capacity. It is necessary for students to have an understanding of this. Resources: FISH hEp://www.mathsisfun.com/cuboid.html Oxford Open-­‐ended Maths AcKviKes. Peter Sullivan and Pat Lilburn, 1997 MABS Measuring cups and jugs Scootle Vocabulary Volume, measurement, capacity, cubic, 3 dimensional, length, width and height, metres, cenKmetres, millimetres, unit, metric Introductory Ac>vity Process-­‐Introduce the concept of capacity. Demonstrate the pouring of water into cups with different appearances. Ask the learners the following quesKons: •  What did they observe? •  What happens when a cup is overfilled. a ny of the cups. •  How could I find out how much is i n •  Is there a standard size for liquid in cups •  When is it important to know how much liquid a container will hold? •  When standard measures do we use to measure quanKKes of liquid? Introduce the word capacity as meaning the maximum amount that something can contain in terms of volume. In other words, capacity is the volume of a container given in terms of liquid measurement. The standard metric cup used in Australian has a capacity of 250ml. As a class explore possible misconcepKons about volume and capacity. Establish the relaKonship between the two by comparing and contrasKng both terms. Discuss the definiKons of capacity with the students. Use learning Journals to record definiKons. Recap on the metric system of measurements (grams, kilograms, milligrams and a tone). Review students’ previous understanding of metric prefixes, to predict how many millilitres in a litre. Ac>vity Process-­‐Model the relaKonship between 1litre and 1000 cubic cenKmetres. Fill a large water jug with liquid (must have measurements). Pour this liquid into a box with liquid, record how many litres were required (preferably use a 1 litre box container. How many litres did it take to fill the container? Record Results. Next empty the water from the box and fill it with MAB blocks (point out to students that each cube is equivalent to 1cm3). How many cubes does it take to fill the box? Record Results. Use quesKons to summarise 1 litre is equivalent to how many cubic cenKmetres? 1000cm3 1 litre is equivalent to how many millilitres? 1000 millilitres What is the relaKonship between millilitres and cubic cenKmetres? 1 millilitre is equivalent to 1 cubic cenKmetre Assessment Inves+ga+on: Mathema+cal Displacement Experiment (using a juice box, a lunch box, measuring jug, MAB blocks and a large tray) Find the volume of their juice box by filling it with MAB blocks (record results) What is the capacity of the juice box? (record results) Place the lunch box inside the large tray, carefully filling the lunchbox with water to the brim. Next, carefully place the juice box into the lunchbox filled with water, water should flow into the large tray. Measure the water that overflowed in the tray. What did you find out. (This experiment should show that the amount of water that is leg over will be close to the capacity of the juice box Imagine that you need to wash your 60 litre bin. You decide that the fastest way to wash it out is with the hose, though on closer inspecKon, you realise that the hose is not long enough to reach the bin. Using the container with the greatest capacity (students use possible container from home) calculate how many Kmes you would need to fill it up with water, to fill half of your 60 litre bin. Make sure you record all of the process for this equa6on. Background Informa>on As a teacher it’s important to understand the difference between volume and capacity. Volume is the amount of space within an object, and is always measured in cubes, even if the object is a sphere or an irregular shape. Whereas Capacity is the amount of potenKal space within an object which can be filled with a liquid or substance. Capacity is usually measured in Litres and Millilitres (unless it is a very large amount like a dam or pool). The abbreviaKons to be used are either L or mL. If measuring a large amount we use Kilolitres kL (1000 litres) and for megalitres ML (1 million litres)