Comparing and measuring lengths Measures Comparing and measuring lengths Objectives Day 1 Measure length using a uniform unit Measure using decimetre strips. Day 2 Estimate and measure length using a uniform unit. Measure using centimetres. Understand there are 10cm in a decimetre. Day 3 Measure and estimate by comparing with a metre stick. Measure using rulers measured in centimetres and metres. Before teaching, be aware that: On Day 1 you will need 1cm cubes, decimetre strips (approximately 15, see resources – make sure you tick the ‘actual size’ box when printing) or decimetre rods, flipchart and pens On Day 2 you will need a jar or clear container with 28 cubes or beads 20-bead string, sticky notes, decimetre strips (see resources – make sure you tick the ‘actual size’ box when printing), flip chart, a drawing of the outline of the teacher’s foot On Day 3 you will need metre sticks, 30cm ruler, decimetre rods or strips, ‘Measuring classroom objects’ sheet (see resources) Year 1/2
Comparing and measuring lengths Measures Comparing and measuring lengths Short Mental Workouts Day 1 Numbers before and after. Day 2 How many? Day 3 Which unit? The short activities suggested here do not have to be done at the beginning of your maths lesson - they are suitable for doing at any time of the day to provide ongoing revision of important mental and oral skills. While there probably isn’t time during your maths lesson for these activities, it is crucial to regularly revisit the skills used. If you decide to use them – perhaps at the beginning of the day for ‘morning maths’, as you line up for lunch, or as a ‘brain-break’ during the afternoon - it might be useful to drag and drop the relevant slide or slides below to that day’s teaching. Year 1/2
Comparing and measuring lengths Numbers before and after Measures Comparing and measuring lengths Short Mental Workout Numbers before and after You might choose to drag this slide to the start of Day 1 Quick-fire activity: ask children to tell you the number one more and one less than a given number. What is one more than 15? One less? Focus on numbers 1 to 20 with Year 1 children and 1 to 100 with Year 2 children. Year 1/2
Comparing and measuring lengths Measures Comparing and measuring lengths Short Mental Workout How many? You might choose to drag this slide to the start of Day 2 You need a jar or clear container with 28 cubes or beads in it. Ask children to work with a partner to estimate the number of cubes/beads in the jar, and to record their estimate. Empty the jar and count the cubes/beads, grouping them in tens, to check. This can be repeated with different numbers of items in the container. Year 1/2
Comparing and measuring lengths Measures Comparing and measuring lengths Short Mental Workout Which Unit? You might choose to drag this slide to the start of Day 3 Say the name of an animal and ask the children what standard or non-standard unit might be appropriate to use to measure its length, e.g. What would they use to measure a mouse? (centimetres, cubes) What about an elephant? (metres, garden canes) Year 1/2
Comparing and measuring lengths Measures Comparing and measuring lengths Objectives Day 1 Measure length using a uniform unit Measure using decimetre strips. Year 1/2
Could we use centimetre cubes? We would need lots of cubes! Day 1: Measure length using a uniform unit; Measure using decimetre strips. Choose a child to lie down at the front and discuss how long s/he is and how we could check. Could we use centimetre cubes? We would need lots of cubes! Teaching with Y1 and Y2 Pass round some 1cm cubes then show children a decimetre strip (see resources). Explain that it is 10cm long, proving this by comparing ten 1cm cubes alongside a dm strip. Pass round several strips. Point out that decimetres (ten centimetres) are useful units for measuring things. Year 2
Day 1: Measure length using a uniform unit; Measure using decimetre strips. Each strip is 10cm long. Use 10 cubes to check… We can use these decimetre strips… How many decimetre strips long is our volunteer? Let’s put our estimates on the flipchart before we check. Collect the decimetre strips and point out that they are all exactly the same length. Lay decimetre strips along the length of Annie and work out how long she is. Discuss what happens if she is not an exact number (most children will understand the concept of a half) then record her length in decimetres, using halves if needed, e.g. Annie is 13½ decimetres long. Y2 Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download. WT/ARE/GD: Measure objects using decimetre strips or rods. Year 2
The Practice Sheet on this slide is suitable for most Y2 children. Differentiated PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT/ ARE: Measure classroom items in decimetres - Sheet 2 GD: Measure wavy lines in decimetres – Sheet 3 Year 1/2
How many cubes high do you think the chair will be? Day 1: Measure length using a uniform unit. Talk to your partner. How many cubes high do you think the chair will be? Year 1
Was it more or less than you imagined? Day 1: Measure length using a uniform unit. Make a tower of cubes to measure the height of the chair: use towers of 10 and then single cubes. Were you close? Was it more or less than you imagined? Let’s count in 10s then 1s to measure the height of the chair. Year 1
Can you see anything shorter than the chair? Day 1: Measure length using a uniform unit. Can you see anything shorter than the chair? Look around the room. Can you find something that might be shorter than the chair? Use towers of cubes to check. Year 1
Look around the room. Find some other things to measure. Day 1: Measure length using a uniform unit. Look around the room. Find some other things to measure. Try to estimate the length before measuring it... Remember to use towers or snakes of cubes to check. Y1 children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download. WT: Estimate and measure objects using cubes. ARE/GD: Estimate and measure objects using cubes or rulers. Year 1
The Practice Sheet on this slide is suitable for most Y1 children. Differentiated PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT/ARE/GD: Estimate the length of snakes and measure them in cubes - Sheet 1 Challenge Year 1/2
Comparing and measuring lengths Measures Comparing and measuring lengths Objectives Day 2 Estimate and measure length using a uniform unit. Measure using centimetres. Understand there are 10cm in a decimetre. Year 1/2
How many beads wide is it? Day 2: Estimate and measure length using a uniform unit; Measure using centimetres. Understand there are 10cm in a decimetre. Use a 20-bead string to measure a child’s hand span. How many beads wide is it? Teaching with Y1 and Y2 Year 1
Record the hand span measurement on a sticky note. Day 2: Estimate and measure length using a uniform unit; Measure using centimetres. Understand there are 10cm in a decimetre. Record the hand span measurement on a sticky note. Amy 11 beads Year 1
Work in pairs to measure each other’s hand spans. Day 2: Estimate and measure length using a uniform unit; Measure using centimetres. Understand there are 10cm in a decimetre. Work in pairs to measure each other’s hand spans. Write your name and hand span on sticky notes then stick them on the flipchart. Year 1
Put any identical measurements alongside one another. Day 2: Estimate and measure length using a uniform unit; Measure using centimetres. Understand there are 10cm in a decimetre. Work together to put the hand spans in order: smallest at the bottom and largest at the top. 10 beads 11 beads 8 beads 10 beads 9 beads 9 beads 11 beads Put any identical measurements alongside one another. Y1 Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download. WT/ARE: Measure length using a bead string. GD: Measure length using a bead string. Year 1
The Practice Sheet on this slide is suitable for most Y1 children. Differentiated PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT/ARE/GD: Estimate and measure lengths using beads – Sheet 1 Year 1/2
This is the decimetre strip we used yesterday… Day 2: Measure using centimetres. Understand there are 10cm in a decimetre. It is divided into 10. Each section is 1 centimetre so it is 10 centimetres long. This is the decimetre strip we used yesterday… Put your finger on one space on the decimetre strip. One centimetre is about one finger wide! A centimetre is a very small unit and is useful for measuring smaller things. It is used to measure things by people all over the world. It is always the same! Further teaching for Year 2 Children look at their decimetre strips and discuss the fact that these are all the same length. Show that each strip is 10cm long by laying ten 1cm cubes along 1dm strip. Year 2
Day 2: Measure using centimetres Day 2: Measure using centimetres. Understand there are 10cm in a decimetre. Hold up the drawing of the outline of your foot. Ask children to estimate how many centimetres long they think your foot is. Put some of the children’s suggestions on the flipchart. Demonstrate measuring the length of your foot to the nearest whole cm using several paper decimetre strips and cutting the last one to the exact length. Be sure to count in 10s and 1s, not just 1s. Year 2
How might we measure the outline of a foot? Day 2: Measure using centimetres. Understand there are 10cm in a decimetre. How might we measure the outline of a foot? Discuss and model using string to follow the curves, then straighten to measure with the decimetre strips. Y2 children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download. WT: Measure shoe size, in centimetres, using decimetre strips. ARE/GD: Measure hands and feet, in centimetres, using decimetre strips. Year 1/2
The Practice Sheet on this slide is suitable for most Y2 children. Differentiated PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT/ARE/GD: Measure classroom objects, in centimetres – Sheet 2 Challenge Year 1/2
Comparing and measuring lengths Measures Comparing and measuring lengths Objectives Day 3 Measure and estimate by comparing with a metre stick. Measure using rulers measured in centimetres and metres. Year 1/2
1 metre long. How many centimetres are in 1 metre? Day 3: Measure and estimate by comparing with a metre stick; Measure using rulers measured in centimetres and metres. Take children to the hall and pass metre sticks around, encouraging children to look at the centimetre markings. Explain that these are 1 metre long. How many centimetres are in 1 metre? Teaching with Y1 and Y2 Challenge children to suggest how many metres long they think the hall might be. Year 1
More than 100m More than 2m More than 10m Less than 10m Day 3: Measure and estimate by comparing with a metre stick; Measure using rulers measured in centimetres and metres. More than 100m More than 2m More than 10m Less than 10m Year 1
Day 3: Measure and estimate by comparing with a metre stick; Measure using rulers measured in centimetres and metres. Get children to work together to lay metre sticks along the hall. Problem solve if you run out of metre sticks… … put a marker to show, for example, where 5 metres come to then reuse the sticks to continue measuring. Today would be a great day to use a problem-solving investigation – Make a Stick – as the Y1 group activity, which you can find in this unit’s IN-DEPTH INVESTIGATION box on Hamilton’s website. Alternatively, Y1 Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download. WT: Suggest and find objects more and less than 1m. ARE/GD: Suggest and find objects more and less than 1m. Year 1
The Practice Sheet on this slide is suitable for most Y1 children. Differentiated PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT: Sort items measuring more or less than 1m – Sheet 1 ARE: Sort items measuring more or less than 1m – Sheet 2 GD: Sort items measuring more or less than 1m; Children also suggest two items that are about a metre long – Sheet 3 Year 1/2
Can you see anything in the classroom that might be shorter than 10cm? Day 3: Measure using rulers marked in centimetres and metres. Show the class a 30cm ruler and show that it is the same length as 3 decimetres by laying 3 decimetre strips along the ruler. Can you see anything in the classroom that might be shorter than 10cm? Give each child a 30cm ruler and ask them where 10cm come to on it. Further teaching for Year 2 Year 2
Day 3: Measure using rulers measured in centimetres and metres. Draw a table with headings: ‘Less than 10cm’, ‘Between 10cm and 30cm’, ‘Between 30cm and 100cm’ and ‘More than 100cm’ or use the ‘Measuring classroom objects’ sheet (see resources/next slide). Year 1/2
Complete the table as you go. Day 3: Measure using rulers marked in centimetres and metres; Compare measurements. Children use their 30cm ruler. They suggest objects that may be less than 10cm. Repeat for items longer than 10cm but shorter than 30cm. Check lengths using the rulers: line up the 0 and read the markings accurately. Then look for items longer than 30cm but less than 100cm. Then items longer than 100cm. Today would be a great day to use a problem-solving investigation – Fanned Fingers– as the Y2 group activity, which you can find in this unit’s IN-DEPTH INVESTIGATION box on Hamilton’s website. Alternatively, Y2 children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download. WT/ARE: Estimate and measure classroom objects in centimetres. GD: Estimate and measure distances in metres and centimetres. Complete the table as you go. Year 2
The Practice Sheet on this slide is suitable for most Y2 children. Differentiated PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT/ARE/GD: Accurately measure card strips to create a spiral - Sheet 4 Challenge Year 1/2
Comparing and measuring lengths Measures Comparing and measuring lengths Well Done! You’ve completed this unit. Objectives Day 1 Measure length using a uniform unit Measure using decimetre strips. Day 2 Estimate and measure length using a uniform unit. Measure using centimetres. Understand there are 10cm in a decimetre. Day 3 Measure and estimate by comparing with a metre stick. Measure using rulers measured in centimetres and metres. You can now use the Mastery: Reasoning and Problem-Solving questions to assess children’s success across this unit. Go to the next slides. Year 1/2
Problem solving and reasoning questions Year 1 and Year 2 Draw a fairly wiggly line of about 4 decimetres in length. Lay a piece of damp string along it. Straighten the string. Y1: How many cubes long is it? Y2: How many centimetres long is it? Year 1/2
Problem solving and reasoning answers Year 1 and Year 2 Draw a fairly wiggly line of about 4 decimetres in length. Lay a piece of damp string along it. Straighten the string. Y1: How many cubes long is it? 40 cubes (depending on cube size) Y2: How many centimetres long is it? around 40cm Year 1/2
Problem solving and reasoning questions Year 1 Find a book which is… 9 cubes long more than 16 cubes long between 10 and 12 cubes long Year 2 Estimate how long each of these creatures is in cm, nose to tip of tail: • a mouse • a worm • a gold fish in a bowl Use an online resource to check… Year 1/2
Problem solving and reasoning answers Year 1 Find a book which is… 9 cubes long more than 16 cubes long between 10 and 12 cubes long Various answers, check, ask children to demonstrate. Year 2 Estimate how long each of these creatures is in cm, nose to tip of tail: • a mouse around 8 to 10cm, some species longer • a worm can be up to 36cm! • a gold fish in a bowl around 10cm Year 1/2