Year 3 Teaching Sequence spring M3 – Weight (three days) Prerequisites: Estimate, measure and compare weights, choosing and using suitable standard units and suitable measuring instruments (see Year 2 teaching sequence M3 and oral and mental starter bank M3) Understand place value of three-digit numbers (see teaching sequence 1 and oral and mental starter bank M3) Order and locate numbers to a landmarked 0-1000 (100s labelled) (see teaching sequence 2 and oral and mental starter bank M3) Overview of progression: Children compare objects with kilogram and 100g weights and then use scales to check. They learn to read scales to the nearest labelled division and weigh their shoes to the nearest 100 grams. Note that, scientifically speaking, the weight of an object is the force of gravity upon it. In the same scientific language, the mass of an object is the amount of ‘matter’ or ‘stuff’ in it. For scientific work, we should therefore refer to a kilogram as measuring the mass of an object. However, in common parlance, because gravity may be regarded as a constant, we refer to the mass of an object as its weight, and give its measurement in kilograms and grams or pounds and ounces, etc. The term weight is used throughout Hamilton sequences. In science lessons children will typically learn the difference between weight and mass in upper KS2, and will then use the term ‘mass’ instead of ‘weight’ as appropriate in their science work. Note that the individuals/paired practice activities in this sequence contain two activities which can be rotated to help with the management of classroom resources. You will need to reorganise these according the number of scales etc you have available. Note that the bag of rice/sugar, can of tomatoes and banana are introduced to give chn a familiar benchmark against which to compare other items, having gained some idea of what 200g, 400g and 1kg feel like. Note that the data collected (weights of shoes) in session 3 is needed in teaching sequence D3. Watch out for children whose knowledge of placing three-digit numbers round the multiples of 100 is insecure. © Original teaching sequence copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. Y3 Maths TS_M3 – Spr – 3days Objectives: Know the relationship between kilograms and grams and choose and use appropriate units to estimate, measure and record measurements Whole class Group activities Paired/indiv practice Resources Pass around a kilogram bag of rice (or sugar). This bag of rice weighs one kilogram. It’s quite heavy! Write 1kg on the board. This is a quick way of writing one kilogram. Can you think of anything that might weigh more than one kilogram? Less than one kilogram? Can you think of anything that might weigh about one kilogram? Test out a few ideas (e.g. book, shoe), showing chn how to read the scales to see if the objects are more or less than one kilogram. Show them how to zero the scales first if necessary. Pass round a one gram weight and write 1g on the board to show the abbreviation for grams. Feel how light this is! Can you think of anything that might weigh about one gram? We’d have to have very sensitive scales to check. One kilogram is the same as 1000 grams, so if we put one thousand of these weights on one side of the scales and the bag of rice on the other, they would balance. Launch the ITP, choose a maximum of 1000 and an interval of 10. Ask chn to close their eyes whilst you add 650 grams of weights (500, 100 and 50) to the pan, and then click on the pan icon to hide it. Open your eyes. What is the total weight in the pan? Talk to your partner about how you know. Click to reveal the pan to check. Group of 4-5 children Show chn a selection of five objects weighing between 100g and 1kg. Pass them around and ask them to put them in order of weight, comparing two at a time, holding one in each hand. Once an order is agreed, children weigh one item each, and record its weight to the nearest 100g on a Post-it. They stick the Post-its to the object, keeping them in the original order. Does the original order need adjusting? Repeat with a series of cans and packets, with weights obscured by Post-its. Remove the Post-its, and check the order. Harder: Chn weigh items to the nearest 50grams. Chn estimate which items weigh less than 1kg and which weigh more than 1kg, by comparing them with a kilogram weight. They then weigh them to check, recording their results. Chn convert kg to grams (see Activity sheet). Easier: Chn’s estimates may be less accurate. Suggest a table to record their results, with headings ‘lighter than 1kg’ and ‘heavier than 1kg’. Harder: Chn estimate which of the objects is closest to one kilogram in weight. Also challenge chn to find at least one other object from around the room that is lighter than 1kg and one that is heavier than 1kg but lighter than 2kg. 1kg bag of rice or sugar 1g weight Tins with weights of less than 1kg ITP Measuring scales A range of tins and packets of different weights 1kg weights Items weighing between 500g and 2kg Scales suitable for measuring up to 3kg Activity sheet (see resources) © Original teaching sequence copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. Y3 Maths TS_M3 – Spr – 3days Discuss how the needle is pointing to halfway between 600 and 700 & each little mark represents 10 grams. Repeat with other multiples of 50, asking chn to record the weights on their whiteboards. Pass round a banana. This banana weighs about 200 grams. Pass round a 400g can of tomatoes. This can of tomatoes weighs 400 grams. Can you see anything around the room that might weigh more than 200g but less than a kilogram? Test out chn’s ideas, e.g. books, pencil cases. Launch the ITP, choose a maximum of 500 and an interval of 10. Ask chn to close their eyes whilst you add 260 grams of weights (100, 100 and 60) to the pan, and than click on the pan icon to hide it. Open your eyes. What is the total weight in the pan? Talk to your partner about how you know. Click to reveal the pan to check. Discuss how the needle is pointing to the mark after 250 grams, and that each little mark represents 10 grams. Group of 4-5 children Ask chn to weigh the ingredients for a recipe, e.g. Granola bars 100g butter , plus extra for greasing 200g porridge oats 100g sunflower seeds 50g sesame seeds 50g chopped walnuts 3 tbsp honey 100g light muscovado sugar 1 tsp ground cinnamon 100g dried fruit (raisins, sultanas, cranberries , cherries or blueberries, or a mix) Heat oven to 160°C/fan 140°C/gas mark 3. Butter and line the base of an 18 x 25cm tin. Mix the oats, seeds and nuts © Original teaching sequence copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. Chn estimate which items weigh less than 100g and which weigh more than 100g, comparing them to a 100gram weight and then weigh them to check, recording their results. Chn choose whether the weight of objects should be measured in kilograms or grams (see Activity sheet). Easier: Chn’s estimates may be less accurate. Suggest a table to record their results, with headings ‘lighter than 100g’ and ‘heavier than 100g’. Harder: Chn estimate which of the objects is closest to Banana and a can of soup/tomatoes weighting 400g ITP Measuring scales 100g gram weights Ingredients, kitchen scales, bowl, Items weighing between 50g and 300g Scales suitable for measuring up to 500g Activity sheet Y3 Maths TS_M3 – Spr – 3days Repeat with other multiples of 10, asking chn to record the weights on their whiteboards. Launch the ITP measuring scales, choosing a maximum of 1000 and an interval of 10. Children close their eyes. Add 620g of weights. Open your eyes. I want to know the weight to the nearest hundred grams. Which is the nearest 100s number? Write it on your whiteboards. Repeat with numbers between multiples of 100. Repeat, asking chn to round the weights to the nearest 50 g. in a roasting tin, then put in the oven for 5-10 mins to roast. Meanwhile, melt the butter in a pan together with the butter, honey and sugar. Add the oat mix, cinnamon and dried fruit, and mix well. Tip into the tin, press down lightly, and then bake for 30 mins. Cool in tin, and then cut into bars. Easier:/Harder: Chn will need more or less help in weighing the ingredients according to their attainment in this area. 100g in weight. Also challenge chn to find at least one other object from around the room that is lighter than 100g and one that is heavier than 100g but lighter than 500g. Group of 4-5 children Show chn a range of scales with different ranges and different sized pans, e.g. kitchen scales, bathroom scales, digital scales if you have them, and scales used earlier in the week to measure weights up to 3kg. Show objects of very different weights, e.g. laptop computer, pencil, carton of milk, a tambourine etc. Ask chn to discuss which scales would be best to find the weight of each, discussing both the range and the size of pans. Find the weight of each object as well as that of a volunteer child. Easier:/Harder: Choose a degree of accuracy appropriate to the attainment of the chn (e.g. to the nearest 1kg, 100g depending on scales being used). Chn work in pairs to weigh their shoes to the nearest 100g. Chn choose a likely weight for given items (see Activity sheet). Harder: Chn measure the weight to the nearest 50g. © Original teaching sequence copyright Hamilton Trust, who give permission for it to be adapted as wished by individual users. NB Keep this data for teaching sequence D3. (see resources) As wide a range of scales as possible and a range of objects (e.g. those opposite) to weigh Scales suitable for measuring up to 1kg Activity sheet (see resources) Y3 Maths TS_M3 – Spr – 3days