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Measures and Data Unit 1Whole Class Teaching Input DAY 1Objectives Convert between grams and kilograms, millilitres and litres.Resources1kg weight, washing line, 14 pegs and cards, mini-whiteboards and pens, a range of labelled containers with capacities between 100ml and 2l, such as 250ml and 168ml (e.g., vinegar, soy sauce, chilli sauce bottles)TeachingShow children a 1kg weight. How else can we write 1kg? (i.e. 1 kilogram, 1000g) Remind children that ‘kilo’ means 1000 (as in kilometre = 1000m). Hang up a washing line. Hang a 0 card at one end and 1000g / 1kg at the other. Write ? kg, 250g, 100g, 0.2kg, 300g, 0.9 kg, 0.7kg, 0.458kg, 500g, 0.4kg, 0.678kg, 785g on cards. Children peg each one in an appropriate place on the washing line relative to other cards. Children then help you write the corresponding amounts in grams or kilograms on the back of each card as they are pegged. Take off the cards and shuffle them. Hold up a random card. If written in grams, children write the amount in kilograms on their whiteboards and vice versa if the amount is given in kilograms. Repeat with each card.Tell children that just as weights can be written two ways, so can other measures… Show children a 1-litre container. How else can we write 1l? Remind children that 1000ml is the same as 1 litre.Change the washing line to show 0 at one end and 2l at the other. Write 1000ml, 0.5l, 1500ml, 1.9l, 1100ml, 1.6l, 1.25l, 1700ml, 1.425l, 1300ml, 1875ml on cards. Children peg the cards on the line and help you write amounts in millilitres or litres on the back of each card. Take off all the cards, shuffle them and hold up each card in turn. Children write the equivalent amount in millilitres or litres.At the end of the lesson, you might like to do some shared conversion of capacities:Show children the containers you have collected. Make sure these are labelled with their capacities: some labelled in ml and some in litres, e.g. 1.4l.As a group, look at each container and convert from millilitres to litres or litres to millilitres. Take particular care when converting 250ml to 0.25 litres, sketching a 1s, 0.1s, 0.01s and 0.001s place value grid if necessary. Arrange the containers in order from those that hold least to those that hold most.Group activity notes DAY 1 Play a game converting from grams to kilograms and vice versa (1 or 3 decimal places). Objectives: Convert between grams and kilograms.You will need: Activity sheet of weights cards ‘Converting Metric Units’ to cut up (see resources), scissorsWhole class, in pairs; Group of 6 with TA or T Working towards ARE / Working at ARE/ Greater DepthChildren cut up a sheet of weights (see resources) to make cards. They shuffle the cards, place them face down and take turns to pick a card. Children read the card and then say the equivalent amounts in grams or kg. If their partner agrees, the first child keeps the card and writes the two equivalent weights. If the partner does not agree and can prove why, the card goes to the bottom of the pack. Once all cards have been used, they write the weights from their own set of cards in order from lightest to heaviest. If a child has 0, 1 or 2 cards, they may take three more from their partner.Outcomes: I can convert between grams and kilograms (up to 3 decimal places).Whole Class Teaching Input DAY 2Objectives Convert between metres and kilometres; Know approximate conversion between miles and km; Draw a line graph and read intermediate points.ResourcesSquared background on the Interactive WhiteboardTeachingWrite the following distances on the board: 2km, 1.5km, 24km, 0.6km. Can you write these distances as metres? [multiply by 1000]Write the following: 1000m, 2500m, 800m, 1250m. Can you write these distances as kilometres? [divide by 1000]Say that in France, for example, distances on signs (and speed limit signs!) are in kilometres. Ask how distances are labelled on signs in the UK. Say a mile is longer than a kilometre [some children may be interested to know that 1 mile = 1609m]. A good approximation to convert miles ? kilometres is to remember that 5 miles is approximately 8 km. So how many kilometres is the same as 10 miles? 20 miles? How could we find how many kilometres are the same as 15 miles? 50 miles? Build up a table on the board to show these facts. e.g. Distance in milesDistance in kilometres005810?If you were going on holiday to France, this table could be quite useful! But we can show more distances on a line graph. Using a squared background on the IWB, show children how to draw a horizontal axis labelled ‘Miles’, writing multiples of 5 after each group of 5 squares and then to label the vertical axis ‘Kilometres’, marking multiples of 2 for each square. Together, plot the first couple of points and join them with a straight line. Why does this line go through the origin (0mi, 0km)?Model how to read intermediate points:Some of you might do the ‘Parkrun’…How many miles is this 5km run?A marathon is 42km… How many miles is this?Group activity notes DAY 2 Plot a line graph with given axes; use this to find kilometre to mile equivalents and vice versa, including at intermediate points on the graph. Objectives: Know approximate conversion between miles and km; Draw a line graph and read intermediate points.You will need: Graph paper, online mapping tool, e.g. Google Maps/ OS MapsWhole class activity, independent in pairs – Working towards AREChildren plot the line graph started in the whole class teaching, using the squared paper in landscape orientation, going as far as the paper will allow. They then use it to find approximate equivalents to the following: 2.5 miles, 12.5 miles, 15 miles, 17 miles, 10km, 12km, 19km, and 30km. Greater DepthHere are some long-distance footpaths you can walk in the UK: The Ridgeway - 86 miles, Pennine Way – 431km, Glyndwrs Way – 135 miles, Cape Wrath Trail – 378km, The Ulster Way - 665 miles!If measured in miles, how far is the walk in km, and vice versa? How will you change your graph to do these conversions …? Small groups with T/ TA Working at ARE Work with a group to help them draw the axes, then draw a line from the origin to 20 miles/32km. Use an online mapping tool to find places less than 20 miles away from the school. Use the graph to estimate the distance in km, then use the online mapping tool check.Ask children to use their graph to estimate how many kilometres are equal to 1 mile. Take suggestions (1 mile is 1609 metres, or 1.609km).Outcomes: I know approximate conversion between miles and km.I can draw line graphs and read intermediate points.Whole Class Teaching Input DAY 3Objectives Know regularly-used imperial units and approximate metric equivalents.ResourcesBag of crisps, 30cm ruler, pint glassTeachingA day or two before this lesson, ask children to ask their grandparents / parents / carers tonight what imperial measures they use. Bring the list in for this lesson. Take feedback from what children discovered at home about imperial measures. Feedback from their lists to make a list on the board, e.g. pints, pounds, stones, ounces, feet, inches, and yards. Do children know the contexts where they are used?Show children a 28g bag of crisps. Some bags of crisps weigh 28 grams; this is because there were originally ‘1-ounce’ packets. 28g is approximately 1 ounce. Pass round the bag so that children see that 1 ounce is very light. A new-born baby might weigh 7 pounds and 8 ounces. There are 16 ounces in a pound. Children work out how many ounces are equivalent to 7 pounds 8 ounces. So a baby weighs about the same as 120 bags of crisps! Many adults will know their weight in stones and pounds rather than kilograms. There are 14 pounds in a stone. 10 kilograms is about the same as 1? stones which is 1 stone and 7 pounds. If a child weighs 20 kg, what is that in stones? And if a child weighs 30 kg? Show a 30cm ruler. This length originates from when rulers used to be a ‘foot’ long, 12 inches, about 30cm. How long in inches is a 15cm ruler? An inch is about an adult thumb width. Show an empty pint glass and explain that this holds a pint, just over half a litre. Milk used to come in pint bottles and drinks are still served in pint and half-pint measures.Group activity notes DAY 3 Make connections between regularly-used imperial units and familiar objects and contexts. Relate these back to well-known metric equivalents, understanding that some of these are approximate.Objectives: Know regularly-used imperial units and approximate metric equivalents; Draw a line graph and read intermediate points.You will need: A3 paper, graph paper, tape measureWhole class activity, independent in pairs – with T and TA Working at ARE Write the following approximations on the board: 30cm = 1 foot = 12 inches; 1 inch = 21/2 cm10 kilograms = 11/2 stones = 1 stone 7 pounds1 litre = 13/4 pints. Children work in pairs to use these facts to list lots of other facts on A3 paper, e.g. 20kg = 3 stones, 1m = 40inches etc.They then choose one pair of equivalent measures and draw a conversion line graph. They check their facts on the graph.Working towards ARE Work as a group to support children to derive new facts. Then as a group draw a conversion line graph for metres and centimetres against feet and inches, up to 6 feet. Measure the height of a volunteer in metres and centimetres. Children use information on their line graphs to work out the approximate equivalent in feet and inches. Discuss looking at how many multiples of 30cm (i.e. a foot) are in the height to give an approximation in feet, then converting the remaining cm to inches.Challenge Greater DepthAfter completing the whole class activity, children answer the following questions: 1. What is the height in feet and inches of person who is 1m 60cm tall? 2. A person weighs 10? stone. How many kilograms is this? 3. About how many pints would a 5-litre bucket hold?Outcomes: I know regularly-used imperial units and approximate metric equivalents.I can draw line graphs and read intermediate points.Whole Class Teaching Input DAY 4Objectives Draw a conversion graph of imperial to metric units and use it to read equivalent measures.ResourcesTable of approximate conversions of grams to ounces (see resources)TeachingShow a table of approximate conversion from grams to ounces (see resources). Remind children that ounces are an imperial measure, still used sometimes in cooking, as are pounds (emphasize this is different to the money pounds). Say that people also often report babies’ weights in pounds, and one pound is 16 ounces. Convert a few of the weights in the table from ounces to pounds and ounces. On a squared background draw a horizontal axis labelled kilograms in steps of 200g from 0 to 2kg, and a vertical axis labelled ounces, in steps of 10, from 0 to 70 ounces. Explain that 2kg is approximately the same as 70 ounces. Plot a point at 0, 0 and then at 2kg and 70 ounces, and join the two with a line. Because the relationship between kilograms and ounces is always the same, the graph is a straight line, so we do not need to mark on all the other points. Together, check that drawing a line up from 2kg to the line does go across to 70 ounces as in the table. Ask children to check a few other conversions on the graph against those in the table. Can they use the graph to estimate how many kilograms are the same as 100 ounces even though 100 ounces is not on the graph? (e.g. double the number of kilograms which are equivalent to 50 ounces.)Group activity notes DAY 4 Group activity notes DAY 4 Use the in-depth problem-solving investigation for this unit ‘Weights in a line’ as today’s group activity, or use the activities below.Draw a line graph to convert litres to pints and vice versa. Draw a line graph to convert centimetres to inches. Objectives: Draw a conversion graph of imperial to metric units and use it to read equivalent measures.Objectives: Draw a conversion graph of imperial to metric units and use it to read equivalent measures.You will need: Graph paperYou will need: Graph paperIndependent in pairs – with TA or T Greater DepthWrite on the board: 4 litres is approximately equal to 7 pints. Children use this information to create a table of litres to pints values, e.g. 8 litres is 14 pints, 2 litres is 3.5 pints. Children then draw line graphs to help them convert any number of litres from 1 to 10 litres to pints, and vice versa. Working at AREWork with a group to support children in producing a table, and then in drawing the line graph as above. Then give children numbers of litres to convert to pints and vice versa. Agree some key conversions from litres to pints, e.g. 8 litres to 15 pints. [This is a useful ‘benchmark’ for conversions as both are whole numbers, making it easier to remember, like 6miles = 10km]Pairs – with T or TA Working towards AREWrite on the board: 10cm is approximately 4 inches. Children draw a line graph to show 0cm, 10cm, 20cm, 30cm and 40cm. They use their graphs to find how many inches are approximately equal to 5cm, 15cm and two distances of their own choice.Outcomes: I can draw conversion graphs and read intermediate values.I understand and use approximate equivalences between metric units and common imperial units such as pints.Outcomes: I can draw conversion graphs and read intermediate values.I understand and use approximate equivalences between metric units and common imperial units such as inches.ADDITIONAL RESOURCES1kg weight, washing line, 14 pegs and cardsMini-whiteboards and pensActivity sheet of weights cards Converting Metric Units to cut up (see resources)ScissorsRange of labelled containers with capacities between 100ml and 2l, such as 250ml and 168ml (e.g., vinegar, soy sauce, chilli sauce bottles)Squared background on the Interactive WhiteboardGraph paperOnline mapping toolBag of 28g crisps30cm rulerPint glassA3 paperTape measureTable of approximate conversions of kg to pounds and ounces (see resources)The links to the websites and the contents of the web pages associated with such links specified on this list (hereafter collectively referred to as the ‘Links’) have been checked by Hamilton Trust (being the operating name of the registered charity, William Rowan Hamilton Trust) and to the best of Hamilton Trust’s knowledge, are correct and accurate at the time of publication. Notwithstanding the foregoing or any other terms and conditions on the Hamilton Trust website, you acknowledge that Hamilton Trust has no control over such Links and indeed, the owners of such Links may have?removed such Links, changed such Links and/or contents associated with such Links. Therefore, it is your sole responsibility to verify any of the Links which you wish you use. Hamilton Trust excludes all responsibility and liability for any loss or damage arising from the use of any Links. ................
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