Southwold Primary School Class: Year 3/4 Blocks: Block C (Two Weeks) Teacher: James, Tim & Simone Unit: Unit 2 Handling Data & Measures Cross Curricular links (speaking & listening, science, geography, history, etc) Unit fits in nicely with this terms ‘Food’ theme. Suggestions: (i) Use food items when sorting (ii) Link to Science and work done on different food groups (iii) Link to PSHE: Consider food miles when doing work on converting between m and km. (iv) Scales: weighing food – look at recipes and ingredients. Key aspects of learning Enquiry Problem Solving Reasoning Information Processing Social Skills Communication Building on previous learning. Check that children can already collect and record the data needed to answer questions begin to organise results and solutions, and present data as block graphs and pictograms sort objects using lists, tables and diagrams explain decisions, methods and results in words, pictures or written form choose and use standard units (m, cm, kg, litre) to estimate and measure choose and use suitable instruments and equipment to measure and collect data recognise multiples of 10 and derive and recall the 10 times-table read scales with numbered divisions and interpret the divisions shown identify and use units of time and work out time intervals begin to use ICT to organise and present data Resources needed: Other considerations: Scales Think about how Science can be taught away from Different food items the discreet Numeracy Hour. Thinking specifically Clocks about Numeracy in PSHE (Food Miles), Numeracy Metre stick and rulers in Science (Balanced Diets – sorting etc) and DT Hoops/ropes (Bread Making – scales, recipes etc). Jugs Whiteboards Instructional writing in Literacy should focus on recipes – units of measurement must be included. Date: w/c 19 January 2009 What do I want the majority of my class to achieve by the end of the unit? What do I want them to learn? Use Venn diagrams or Carroll diagrams to sort data and objects using more than one criterion Answer a question by collecting, organising and interpreting data; use tally charts, frequency tables, pictograms and bar charts to represent results and illustrate observations; use ICT to create a simple bar chart Read the time on a 12-hour digital clock and to the nearest 5 minutes on an analogue clock; calculate time intervals and find start or end times for a given time interval Read, to the nearest division and half-division, scales that are numbered or partially numbered; use the information to measure and draw to a suitable degree of accuracy Know the relationships between kilometres and metres, metres and centimetres, kilograms and grams, litres and millilitres; choose and use appropriate units to estimate, measure and record measurements Follow a line of enquiry by deciding what information is important; make and use lists, tables and graphs to organise and interpret the information Key Vocabulary: problem, enquiry, solution, calculate, calculation, method, explain, reasoning, reason, predict, pattern, relationship, collect, organise, compare, sort, classify, represent, interpret, effect, information, data, survey, questionnaire, table, frequency table, block graph, bar chart, Carroll diagram, Venn diagram, axis/axes, horizontal axis, vertical axis, label, title, scale, interval, division frequency, how often?, how frequently?, more/less, most/least, most/least popular, most/least frequent, greatest/least value, approximately, close, about the same as, ten times, hundred times, metric unit, standard unit, millimetre (mm), centimetre (cm), metre (m), kilogram (kg), gram (g), litre (l), millilitre (ml), degree Celsius , ruler, tape measure, balance, scales, thermometer, capacity, weight, length, width, height, depth, temperature, time, timer, clock, second, minute, hour, day, week, month, year Assess-Plan-Teach-Practise-Apply-Review WHOLE CLASS TEACHING Mental Oral starter Rehearse-RefreshRefine-ReadReason-Recall Day 1 Interpreting Bar Charts Display a bar chart showing the sales in a bakers shop. Interrogate the data with the children asking questions like: how many white/brown loaves were sold? What did he sell the most of? How many loaves were sold altogether? How many more pies than cakes were sold? Then show another bar chart showing at what time in the day sales were made. Ask similar questions such as: what was the busiest time of the day? When was the bakery quietest? How many more items were sold between 1pm and 2pm than 2pm and 3pm? etc Main Teaching Input Introduction, key vocabulary, modelled examples Use Venn diagrams or Carroll diagrams to sort data and objects using more than one criterion Children sitting in a circle. Put a pile of coloured 2d shapes in the middle of the circle. Ask a child to sort these shapes in different categories (give no support). Ask another child to identify how they have been sorted. Put the shapes back into a pile and ask another child to sort them according to their own criteria. Independent Group work Groupings, differentiation, resources, role of supporting adults. Most Able [Working with James] Children to draw two carroll diagrams in their books. numbers with 3 tens and numbers that don’t have 3 tens; odd numbers and even numbers. create their own carroll diagram Middle Ability Explain that we can sort things in many ways. How many different ways could we sort the shapes? (colour, sides, right angles etc). Then explain that whilst we can sort things according to our own criteria, there are also mathematical ways of sorting and one of these is a carroll diagram. Display an empty carroll diagram with the criteria: 4 sided, not 4 sided, yellow and not yellow. Explain how the carroll diagram works by sticking two shapes in the correct part of the diagram. Ask the children to then place the rest of the shapes in the correct part of the carroll diagram. What other criteria could the children use in their carroll diagram? Set up another carroll diagram with their criteria and ask children to place shapes in correct part. Children to sort data for two carroll diagrams: numbers with 3 tens and numbers that don’t have 3 tens; odd numbers and even numbers. Multiples of 3 and numbers that aren’t multiples of 3; odd numbers and even numbers Least Able [Working with Emilia] Give children a print out of a carroll diagram with the criteria ‘cold drinks, hot drinks, brown and not brown’. Children to then be given a sheet with pictures of different drinks. Children to cut out and stick in the correct part of the diagram. Plenary Links, extensions, review, clarification, links to problems, homework Show the children a carroll diagram containing different data about food but without the labels on it. Children to identify what the criteria might be. Could there be more than one answer? Can you think of any other criteria for sorting different types of food? (Refer to science learning to assist if necessary). Assessment for learning Key questions & success criteria I can place objects on a carroll diagram. I can create my own sorting criteria. Is a cylinder a prism? Does it have any vertices? Where should it be placed on this Carroll diagram? Day 2 Recalling Number Facts Teacher with number cards from 0-9. Pick two children and give them a card each and ask them to stand holding the card in front of the class. Can you make the biggest number? Smallest number? A number in a given times table? Then ask rest of children on the carpet questions about the number: odd/even, factors, multiples, adding rounding, dividing, multiplying, subtracting etc. Then extend by moving onto a three digit numbers. Can any children think of a question about the number? Use Venn diagrams or Carroll diagrams to sort data and objects using more than one criterion Most Able Begin by briefly revisiting yesterday’s session on carroll diagrams. What are they? What is the purpose of them? Display a carroll diagram on the IWB which sorts children in the class by gender and age. Pick some children to come and drag their names into the correct part of the diagram. Multiples of 5 and even numbers Multiples of 3 and multiples of 4 Children to create their own venn diagram using an aspect of number. Explain that there are methods of sorting data and that today we are going to sort using a venn diagram. On the IWB, display a labelled venn diagram with the same criteria as before (children’s names) and discuss the layout. (One circle is boys, one is age 8 and the interlocking one is boys and aged 8). Where do you think girls might go or those who are not 8 years old? Pick a selection of children to come and drag their names into the correct part of the venn diagram. Children sitting in a circle. Put two hoops or ropes together to form the venn diagram and show the children a tray of food items. Briefly discuss with the children where they might go in our food pyramid. Explain that we are going to use our venn diagram to sort these items into categories. (Categories: foods that are red or green; and then foods that we refrigerate/don’t refrigerate). Pick individual children to place the food items in the appropriate section on the venn diagrams. Are there any foods that we aren’t sure about? Explain that with the refrigeration, it is slightly subjective depending on your own personal choice. Children to draw and label three venn diagrams. Middle Ability [Working with Emilia] Give children a sheet with two venn diagrams on it and data. Children to carry out two sorting activities: Multiples of 5 and even numbers Numbers with 5 tens and odd numbers Extension: Children to generate their own venn diagram and sort data. Least Able [Working with James] On a big piece of sugar paper, draw a venn diagram. Each child has a piece of paper with their name on it. Label the venn diagram, with brothers and sisters. Children to put their name in the correct part of the venn diagram. Repeat with different criteria such as dogs and cats, preferred holiday etc Finish by giving the children some shapes and ask them to generate their own criteria for sorting using a venn diagram. Create and Interrogate Class Venn Diagram On the IWB display an empty venn diagram and some pictures of animals around it. Talk briefly about each animal: what its called, whether you might keep it as a pet, different characteristics. Ask the children to suggest how we could sort the animals in a venn diagram. Take suggestions and agree on one with the children. [If children struggle, sort the animals into domestic pets and wild animals]. Ask children to then sort accordingly. Think of a question to ask about the data. Which animals are kept both domestically and live in the wild? Are there animals which are neither domestic nor wild? If not, why not? I can place objects on a venn diagram. I can create my own sorting criteria. Which food items are red? Green? Red and Green? Which items do you have to refrigerate? Which don’t you have to refrigerate? Are there any items where you can do either? Day 3 Interactive Number Facts Give each child a number from 1-30. Differentiate so that the less able children have the lowest numbers. Ask the class questions where the answer is always a number between 1 and 30. The child with the correct answer stands up and gives the answer. Vary questions across all aspects of Numeracy but focus mainly on number (subtraction, addition problems, multiples, factors etc). Also focus on recent work in areas like fraction (what is ¼ of 20 etc.) as well as areas like shape (A square has how many sides etc.) Try and ensure that all children have a question where their answer comes up. Answer a question by collecting, organising and interpreting data; use tally charts, frequency tables, pictograms and bar charts etc Explain that having sorted data using carroll and venn diagrams, we are now going to focus on how we collect and present data. There are lots of ways to collect and record data. Today, we are going to look at collecting using a tally chart and then present it in a bar chart. On the IWB, display the question ‘What is your favourite activity?’ and list the options: swimming, football, cricket, cycling and dancing’. Go round the class asking the children for their favourite and record on the tally chart. Discuss the layout of the chart and how you record. Analyse the data by asking questions like: Which is the most popular activity? Which is the least popular? Compare different activities (how many more children like x than y). How many children answered? How many children didn’t like any of the options etc Show the children a partially labelled bar chart and discuss the features – labelled axes etc and then model how you plot the scale on the bar chart (writing the numbers on the lines and ensuring that they are a consistent distance apart etc). Add the data from the tally chart and create the bar chart. Explain to the children that we are now going to generate some more data before the children create their own bar charts. Ask the children what their favourite fruit is (choice: apple, orange, pear, banana, satsuma). Ask a child to be scribe and record the data in a tally chart. Most Able [Working with Emilia] Give children a piece of squared paper and ask them to create a bar chart using the data. Focus on ensuring that bar charts have a consistent scale and that the columns are the same width. Extension: Children to generate five questions using the data. Middle Ability [Working with James] Children to also create a bar chart using the data. Give children a completed axis so they can simply carry on the scale. Ext: Give children another tally chart so they can then create another bar chart. They can use their existing bar chart to ensure that the new bar chart is clearly laid out. Least Able Using tally chart data, children to make their own bar chart by cutting out card and sticking onto premade axis. Children to add labels. Using Pictograms I can use a tally chart to collect data. Explain that we are going to test the suggestion that ‘We think most children in a class walk to school ‘. I can present data using a bar chart using appropriate and consistent scales. The pictogram on the right shows how the children in a class came to school this morning. Discuss the scale and how it is put together. How many children came to school by car? On foot? By bike? By bus? Explain how to work out how many children there are in the class. Did most of the class walk? How can you tell? Day 4 Analysing Bar Charts Show the children the ‘Car Sales’ bar chart and explain that it shows us how cars were sold by a garage. Ask the children if you can tell how many hatchbacks were sold? You can’t because there is no scale. Add a scale of 1 box = 2 cars and then ask questions interrogating the data. How many estates were sold? How many more saloons were sold than estates? What is the least popular car? How many cars were sold in total? Change the scale to 1 box = 5 cars and repeat the questions. Answer a question by collecting, organising and interpreting data; use tally charts, frequency tables, pictograms and bar charts etc Explain that yesterday, we looked at how you can gather information using a tally chart and then present it in a bar chart. Today, we are going to look at another method of gathering/presenting data and that is a pictogram. Most Able Pie Charts Children to create their own pictogram. To complete the sessions on gathering and presenting data, show children the same data on both a pie chart and a bar chart. Explain that a pie chart, like a bar chart, is a way of presenting data. Decide on the data they are going to use. Go round the class and ask the other children the appropriate question. Decide the scale/key they are going to use. Create pictogram Favourite Subject Numeracy Literacy PE Middle Ability [Working with Emilia] Art Science = 2 children Show the children the pictogram about children’s favourite subject at school and discuss the features and in particular (i) The key which shows how many children a pencil represents and (ii) what half a pencil represents. Then interrogate the data: how many children like Numeracy? What is the most popular subject? How many children are in the class? How many children like Science? In pairs, children to ask each other questions about the data, Create another pictogram with the children. What data would they like to gather about the class? Favourite tv programme? Favourite snack? etc. Then draw up the pictogram focusing on the key and what image you are going to use to represent the data. Give children a box of 2d shapes. Children to create a pictogram listing the different 2d shapes. Teaching Assistant to focus on ensuring that the children use a key and that it is suitable. Least Able [Working with James] Similar to middle ability group but children to cut out and stick images onto their pictogram. [Depending on progress/ability, prepare the pictogram for the children.] Compare the two methods of presenting data. Which one do you think is more effective? Why? Can you think of any problems with pie charts? What happens if one of the variables is 0? How can you illustrate this on a pie chart? I can generate my own pictogram using a suitable key. I can show information in a pictogram where each picture represents 2 people. Day 5 Rounding measures Display a set of scales on the interactive whiteboard. Explain that I am going to put different amounts – measured in grams – on the scales. Children to read the scale and then round to the nearest 10 and 100 grams. Differentiate questioning accordingly and repeat rules for rounding: When rounding to nearest 10, focus on the units (1-4 round down, 5-9 round up) When rounding to the nearest 100, focus on the tens (1-4 round down, 59 round up) Read the time on a 12-hour digital clock and to the nearest 5 minutes on an analogue clock; calculate time intervals and find start or end times for a given time interval Show the children quarter past 12 on the clock. What are the two ways that we can say this time? Repeat for other quarters and half past times. Point to the minute marks on the clock and ask what these represent. Starting at the noon position, move the minute hand in intervals of five to the half hour. With the children, say the time: 5 minutes past 12, 10 minutes past 12 … 25 minutes past 12. Then set the clock to 6 o’clock and repeat the exercise but this time turning the minute hand anticlockwise. Ask the children to say the time: 5 minutes to 6, 10 minutes to 6 … 25 minutes to 6. Hand out the card clocks – one between two. Children in pairs. One child to set the time at five minute intervals. The other child to read the time. Then reverse the roles with the other child setting the time. Then move onto setting the time at quarter past, half past and quarter to the hour with one child setting the time and the other saying. Ensure that the child telling the time uses both terms (ie quarter past five and five fifteen). Remind children that the hour hand moves slowly round as the minute hands go further round (this was a misconception in Marron class last term). Most Able [Working with Emilia] Time Problems Begin by asking children to write down the time on a clock and then reverse by asking them to draw the hands on a clock. Extend by giving the children time problems to solve using 5 and 15 minute intervals. Display some problems that involve the 5 and 15 minute intervals covered in the main activity. Example problem: Children to be given a sheet of clock faces with different times on them. Children to write on the correct time. Then reverse by giving the children the time, children to then draw on the correct hands. ‘Kevin leaves home at quarter past 8 and arrives in school at 20 to 9. How long is his journey? How did you work this out?’ Least Able Most Able children to run through the strategies they used to solve the problems. Use clocks or IWB clock to help solve the problem Middle Ability [Working with James] Give children a sheet of clock faces with different times on them. Children to write on the correct time. I can read five and fifteen minute intervals on a clock. I can solve real life problems involving time.