Place Value Number Place Value Explore, identify and record place value 0–199. Extend grouping and renaming activities to include the hundred in tens. Rename numbers as one hundred, tens and units. 1. Explore, identify and record place value 0–99. 2. Group and count in tens and units using cubes, counters, lollipop sticks and coins (1c and 10c), base ten materials and notation boards. 3. Express groups of counters as units or as tens and units. 4. Record pictorially and on the abacus. 1. Communicating and expressing: Discuss and explain mathematical activities. 2. Integrating and connecting: Understand the mathematical ideas behind the procedures used. 3. Implementing: Use appropriate manipulatives to carry out mathematical tasks and procedures. Any items that can be divided in to 10 pieces (e.g. an abacus rope and beads, set of coins both 1c and 10c, sweets that are individually wrapped but come in a packet of 10), an apple labelled with a 14c price tag and materials to set up a shop Listen, match, colour, tens, units, circle, larger, smaller, swap General lesson suggestions 1. Hang it on the washing line The teacher hangs a piece of string which will be used as a washing line. Each child is given a laminated number, based on ability, these numbers will be 1, 2 or 3 digits. As a class they have to order the numbers on the washing line in ascending and descending order. The teacher could also 73 have the numbers displayed on the line already and only let the children swap 2 numbers at a time. 2. Less than, more than The teacher hangs a piece of string which will be used as a washing line with sequenced A4 laminated numbers. The children must place their number in the correct place for example. If the teacher places the numbers: 23, 56, 89 and 102 on the washing line and the child has the number 48, they will hang it in between 23 and 56. 3. How much do they make? Using the names of popular singers/actors/footballers, depending on the interest of your class, call out that they earn a particular sum of money per hour or per day. Example: X earns a 1-digit number per hour. The class must tell you what the most and least that person could earn is. Example: ‘Y earns a 2-digit number per day. What is the most and least she earns in a day?’ Activity A The teacher calls out questions related to the numbers given based on place value, for example: 1. Colour the eight that is 8 units. (the child colours the 8 in 98) 2. Colour the 2 numbers that have a digit of the same value? (the child colours the 3 in 23 and 33 or the 6 in 65 and 67) Lesson suggestions Page 61 1. Which is larger 47 or 7 tens and 4 units? 2. Which is smaller 32 or 2 tens and 3 units? 3. Which would you rather have, 3 packets of sweets (each containing 10 sweets) or 41 individual sweets? 4. (a) Using packets and individual sweets, show the children 1 packet and 8 sweets, question the children on which they would prefer, pointing out that they can have 1 packet or 8 sweets. (b) Allow the children to discuss in their groups which they would prefer, then record the conclusion of each group on the board. (c) Finally, take the 10 sweets out of the packet and lay them out beside the 8 sweets, allow the groups a chance to change their minds. Page 62 1. Count forwards in tens to a 100 and backwards. 2. Together, come up with things that come in 10s, e.g toes, fingers, bowling pins, digits on a telephone, 10 green bottles. 3. Circle the pictures of things that come in groups of 10. 4. Cross out the pictures of the things that don’t come in 10s. 5. Have a mystery box containing things that do (and don’t) come in 10s. 6. Invite the children up individually to select something from the box. They can then place it on one of two areas labelled 10 and 10. 7. Introduce base 10 blocks and let the children practise exchanging 10 units for 1 ten. 74 Page 63 Introducing 100s 1. Count on from 20 or 30 in tens to a 120 or 130. 2. Ask the children questions to get them thinking about how 100 is made. (a) How many digits are there? (10 from 0–9) (b) ‘If we haven’t got enough digits for each number how do we represent the number 10? (1 followed by a 0) (c) Can anyone guess how we would represent a 100? If I told you it was 10 lots of 10 could you guess now?’ (d) There are 10 sweets on the table and you know that there are 10 sweets in a pack, but can anyone tell me how many are in a multipack that you might need for a party? (100) (e) So how many are there in a multipack and a tube? (f) How many are in a multipack, a tube and an individual sweet? 3. Introduce base 10 blocks and let the children practise exchanging 10 tens for 1 hundred. 4. Let the children practise recording a 3-digit number shown on base 10 blocks. Differentiation Lower attainers: Separate activity page Higher attainers: Separate activity page A. Write these numbers as tens and units. 46 = tens and units 32 = tens and units 66 = tens and units 54 = tens and units 16 = ten and units 27 = tens and units 61 = tens and unit 5 = tens and units 79 = tens and units 22 = tens and units 18 = ten and units A. Add these tens and units. 1. 1 ten and 2 units = _____________ 2. 3 tens and 1 unit = _____________ 3. 1 ten and 3 units = _____________ 4. 4 tens and 2 units = _____________ 5. 1 ten and 5 units = _____________ 6. 3 tens and 4 units = _____________ 7. 2 tens and 2 units = _____________ 8. 4 tens and 1 units = _____________ 9. 2 tens and 3 units = _____________ 10. 3 tens and 2 units = _____________ B. Draw a picture to show this sum: 4 + 5 = 9. B. Add these tens and units. T U T 24 + 11 = 33 + 16 + 3 = 14 + 50 = 15 + 22 = 40 + 20 = 37 + 21 = 12 = Date: ___________________ 169 Name: _______________________________________ Page 170 Place Value Date: ___________________ Folens Photocopiables © Michelle Hande, Veronica Ward 64 U = Folens Photocopiables © Michelle Hande, Veronica Ward Name: _______________________________________ + 34 170 Linkage Measures: Money Integration SPHE: Relating to other people, interpersonal skills Find some 2-digit numbers in your house, e.g. on a digital clock, instructions for washing at 40 degrees. 75
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