FIRST LEVEL MEASUREMENT Significant Aspects of Learning • Use knowledge and understanding of measurement and its application Learning Statements • • • • • Instruments for measurement Standard units of measurement Scales for measure, including time Accuracy of measurement Select and communicate processes and solutions Experiences and Outcomes I have begun to develop a sense of how long tasks take by measuring the time taken to complete a range of activities using a variety of timers. MNU 1-10c I can estimate how long or heavy an object is, or what amount it holds, using everyday things as a guide, then measure or weigh it using appropriate instruments and units. MNU 1-11a I can estimate the area of a shape by counting squares or other methods. MNU 1-11b I can share ideas with other to develop ways of estimating the answer to a calculation or problem, work out the actual answer, then check my solution by comparing it with the estimate. MNU 101a Learning Intention • To apply knowledge and understanding of estimation and measurement to solve a range of problems involving time, weight, length and area Success Criteria • • • • • I can estimate duration, weight, length and area giving reasons for my choice I can select the most appropriate unit of measurement to use for the task I can accurately read a range of measuring tools I can order items according to their weights I can work out the area of a range of shapes EVIDENCE The pupils were asked to estimate how long it would take them to walk, jog and then sprint one lap around the football field in preparation for their Sport Relief mile. They then needed to time how long it takes and compare the real answer to their estimation. Pupils were given a choice of timers: stopwatches, sand timers, digital clocks and analogue clocks. Teacher voice The learner wanted to see if she could improve her time so she sprinted twice. 37 seconds is her 2 Teacher voice The learner realised if she could jog a lap of the field in forty nine seconds then she could sprint it even quicker. So she changed her sprinting estimation to a quicker time. She did this independently and was able to explain her thinking. 1 nd lap. EVIDENCE Pupil Voice We used a lot of team work skills when we were measuring the time taken to do a lap. I also used leadership skills because sometimes you needed to take charge when using the timers. I decided that it was best for our group to use a stopwatch. I used numeracy skills because I was working with time and numbers. I decided to use a stopwatch because I thought it would give me an accurate reading. 2 EVIDENCE Teacher Voice The learner was asked to estimate and measure the length and width of their table team desks. The pupil had a choice of 30cm rulers, measuring tape and metre sticks to measure with. The pupil was able to accurately select the most appropriate equipment and justify their choice of strategy. They demonstrated understanding of the need for accuracy by measuring twice and using different tools for measure. EVIDENCE Pupil Voice I used my hands and imagined how big a 30cm ruler was. I then thought of how many rulers would fit on the table. If it was 30cm you would double it to 60cm and then 90cm. I used my knowledge of the three times tables. 3 Teacher voice The learner was asked to justify their choice of strategy used. She demonstrated a good und erstanding of measurement through her estimations. She was also able to explain the thinking behind her estimations. Teacher voice The pupil was asked to pick items in the classroom to estimate the length of and then measure. The pupils had the choice of rulers, metre sticks and measuring tapes. Again the pupil was able to select the most appropriate tool in a new context. 4 Teacher Voice The learner is learning from her mistakes and is using her knowledge from other areas of maths as she explained below. Pupil voice My estimation for the length of my trainer was not very good. When I got it wrong this made me rethink more accurately what the width might be. I thought about the length being twenty seven centimetres. I then decided that the width would be about one third of this so I used my fractions knowledge to make that estimate. Teacher voice It is clear that the learner is becoming more confident with her estimating and measuring. She is displaying a secure understanding of this. 5 EVIDENCE Teacher voice The pupil was given an estimating and weighing challenge task at the end of the block of learning. The Pupil was given a line -up of classroom items. She had to rearrange the items in accordance to their estimated weight. The pupil had to estimate the weight of each item before weighing them. Once she had weighed the items she then needed to rearrange the line-up to the in the correct way. Pupil Voice I got two items and held them together. I picked two items that I thought were similar and had a long think about which was heaviest. 6 EVIDENCE Teacher voice The learner’s objects ordered from heaviest to lightest after weighing. Pupil Voice Looking at the shape and size helped along with feeling it. I thought the dictionary was 1kg but it was 900g. I think it was close. I was right that it was the heaviest. 7 EVIDENCE What scales did you use? Pupil Voice I wanted to use the balance scales first because I wanted to compare it with something else. If I just used the kitchen scales I wouldn’t have got that information. I used the kitchen scales after so that I could get twice the information. The kitchen scales gave me the exact weight. Teacher voice Pupil voice After completing the I decided to use task learner the kitchen reflected on her scales. I have experience. The used the pulley learner noted that and different the skills of balancing scales estimating and in other lessons measuring weight will and I felt the be useful outside of kitchen scales school and gave was better. It cooking and baking as suited this task. examples of times when these skills could be used. 8 EVIDENCE The pupil worked on tasks calculating the area to ensure they were confident at doing this. Once she understood calculating the area using non-standard units she began making estimations before measuring the area. Pupil Voice If it was a square or rectangle I was working out, I found it quicker to count how many were along the bottom and how many were up the side. If you multiply those numbers you get the same answer as if you counted every single square. My times tables knowledge helped me to work out the area. The learner realised there was a quicker way to find the area of some shapes. After reflecting on the task she spoke about using a 3x3 grid for times tables bingo. This gave her the idea to count the length and width. Teacher voice The learner was asked to draw 5 shapes with an area 2 of 12cm . It is clear that the learner understands that different shapes can have the same area. 9 EVIDENCE Pupil voice I know the area of an object is its surface. I picked objects that had a surface I could measure, like the laptop. I thought about the area of the card and then worked out how many times it would fit on the object. I estimated the laptop would be Teacher Voice sixteen cards and I was correct. The pupil had to estimate the area of an object using playing cards. She then needed to lay out their cards on that object to calculate the area. Teacher Voice The learner demonstrated a good grasp of area and her ability to estimate it. Pupil Voice My estimations were all correct. I think working with smaller squares to start with helped me with my estimations. I have a good idea now by looking at an item what its area might be. I thought about what size the card was then visualised how many cards would fit on the object. 10 Teacher voice The pupil was provided with cardboard shapes. She was asked to estimate the area of the shape using squared paper. She then needed to draw around the outline of the shape and work out the actual area. Teacher voice It was discussed and agreed as a class that part squares would only be counted if they were half or more than half. These squares would be counted as a full square. This was decided before estimations were made. Pupil voice I estimated and calculated the area of the rectangle first. This then helped me to estimate the area of different shapes. 11 Teacher voice The learner was asked to calculate how many tables would fit along the length of the gym hall in preparation for a school bake sale. A variety of measuring devices were provided for the learner to choose from. Pupil voice I decided that I needed to measure the length of a table first. I then needed to measure the length of the gym hall. If I divided this by the length of the table I would get my answer. Teacher voice The learner needed to estimate the length of the table first of all, and then estimate how many tables would fit in the gym hall. The learner showed her secure knowledge and understanding of measuring using centimetres by accurately estimating the length of the table. Her estimation of how many tables would fit in the gym 12 hall was also very accurate. She demonstrated an application of her knowledge of measure when solving this real life problem. Pupil voice I used a flexible metre stick for measuring the table as I knew it was less than a metre. I used a trundle wheel to measure the gym hall as I know it is definitely more than ten metres. Pupil voice I used my estimating, rounding and division skills to work out the problem. When I measured the gym hall it was 15 metres 85 centimetres. When I converted this into centimetres I was then able to divide by the length of the table (56cm). I divided using a calculator. I then rounded the number to 28 as the number after the decimal point was below 5. Teacher voice Throughout the problem solving task the learner applied her knowledge of measure when solving this real life problem. She showed clear understanding and knowledge by identifying the steps needed, including estimating, converting metres to centimetres and rounding down. 13 EVIDENCE Why do we need to learn about area? Pupil Voice Pupil Voice A painter might need to find the area of a canvas so he knows how big he can make his painting. Pupil Voice I think the sports committee could calculate the area of the field for sports relief. It would help them figure out how many times we need to run around and how much room they have for obstacles. The lunch ladies might need to know what the area of the gym hall is so that they know how many tables they can fit in. Pupil Voice Pupil Voice A farmer might need to know what the area of a field is so he can know how many animals he can put in the field. 14 The janitor might need to know the area of the gym hall, playground and field so he can put new lines down or if he wanted to put in a new toy.