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Tens and ones structure of 2-digit numbers In-class Activity 1 Activity Bus settings to 100 Source Green Bk. P.194 Class 1st/2nd Stage SEAL Stage 3-5 Tens and Ones, Level 2-3 Term Term 2/3 Curriculum Explore, identify and record place value 0-199 objectives Object of Activity The ten frame (tens bus) is used to build tens and ones knowledge to 100 and adding to the next ten. MR aspect Key Topic 8.4 Adding and Subtracting to and from Decade Numbers Materials Bus transparency for overhead projector or whiteboard, bus cards, bus activity log sheet. Procedure 1) Begin by counting forwards and backwards in tens. 2) Count forwards in tens off the decade e.g. 28, 38 etc. 3) Display a ten frame bus. How many people can fit on the bus? How many spare seats are there? 4) Display two full tens buses. How many people are there on these buses? 5) Flash combinations of people on the two buses (one full and one partly filled). How many people are on the bus? How many spare seats are there? 1) How many tens buses? Each child/pair has 10 full tens buses and a set of buses containing 1 to 9 passengers. Make 45. How many full buses are needed for 45 passengers? ‘4 tens buses’, how many people are on those full tens buses?- ‘40’. Let’s count them together 10,20,30,40. How many people are on the bus that isn’t full? ‘5' 2) Bus snap One Player has a set of bus cards- card with some full and some partially full buses. Player two has numeral cards which match the number of passengers on the bus. Players take turns to place a cards down and try to identify snap. Notes Link to language of tens and units- see below. Symbols/Recording This can be linked to identifying the number of tens and units in a number. When talking about how many tens make 45 – fill in the numbers as 4 tens, and the partially full bus is termed the units/ones. 45 is make of 4 tens and 5 units/one which is 40 and 5. Modify/Extend Write Activity 1 as missing addend/subtrahend. Adapt Activity 2 as a whole class matching game by placing the cards on the whiteboard. Tens and Ones structure of 2-Digit Numbers In-class Activity 2 Activity Blank 100 square Source Green Bk. P.197 Class 1st/2nd Stage SEAL Stage 3- 5 Tens and Ones, Level 2-3 Term Term 2/3 Curriculum Explore, identify and record place value 0-99 objectives Object of Activity To build numeral identification and number sequences to 100. MR aspect Key Topic: Numerals from 1 to 100 Materials Blank 100 square for overhead projector/whiteboard; blank 100 square for children; full 100 square transparencies for children to check their work. Screens to hide columns on 100 square. Procedure Activity 1 Show one column on the 100 square. Hide some numbers. Children are required to count in tens to identify the missing numbers. Activity 2 An empty hundred square is displayed on the overhead projector/whiteboard. Who can tell us how they would find where 27 would be? A child is chose to write in the number 27 in the correct location. Who can tell us where 37 would be? Methods for locating this number are discussed. A child is selected to write this number in the correct location. Who could tell us where 57 would be? Where would 17 be? Continue until all the spaces in the 7 column are filled. Activity 3 Each individual (or pair) has a blank hundred square and a transparent complete hundred square. Teacher randomly selects a numeral from a set of numerals 1-100 (for example 45): Write forty-five on your blank hundred square. Children writes 45 on their blank hundred squares. The teacher selects other numerals at random and children write these on their hundred squares. Overlaying a transparent 100 square allows for checking of these. The class discuss and compare their strategies. Notes Symbols/Recording Use PV cards and show numbers on ENL Modify/Extend 100 square can start at 100 as children’s knowledge of NWS increase Tens and Ones structure of 2-Digit Numbers In-class Activity 3 Activity 100 square Activities 2 Source Green Bk. P.198 Class 1st/2nd Stage SEAL Stage 3-5 Tens and Ones, Level 2-3 Term Term 2/3 Curriculum Explore, identify and record place value 0-99 objectives Object of Activity To build numeral identification and number sequences to 100. MR aspect Key Topic 7.2: Numerals from 1 to 100 Materials Blank 100 square for overhead projector/whiteboard; blank 100 square for children; full 100 square transparencies for children to check their work. Screens to hide columns on 100 square. Procedure Group/Individual tasks: Activity1- Get ten A child selects a numeral from the container and places this on the blank hundred square. Alternatively, this could be written on the blank hundred square if a permanent copy of the activity is required. The other child then selects a numeral and places it on his/her blank square. This is repeated a set number of times (e.g. 10). Children each check the placement of their numerals using the transparent hundred square. Activity 2 –Find the Target Number On a blank hundred square, each player chooses a number and writes it in the correct location without showing the other player. This is the target number and it is circled in red. The aim of the activity is for each player to discover the other player’s target number. The first player makes a guess e.g. 27. The other player states whether the target number is lower, higher or equal to the player’s guess. Players keep track of these responses by writing their guesses on their bland hundred squares, and arrows are used to indicate whether the target number is higher or lower than the guess. The game proceeds until one player or both players guess the other’s target number. Activity 3 –Partial Hundred Square Part of the hundred square is shown on a sheet (or on a card). Children individually or in pairs fill in the remaining squares. Activity 4- Tickle’s Task A hundred square is displayed on the overhead projector. The square is screened by a cover with a hole displaying only one number. Possible tasks- Teacher points to the position directly below the visible numeral and asks: What number is this? What is the number to the right of the number below the number we can see? Notes Symbols/Recording Use Place value cards/ENL Modify/Extend Activity 1Children add the numbers they have in their correct locations. Three in a row: The game continues until three numerals in a row/column have been achieved e.g. 65,75,85 Tens and Ones structure of 2-Digit Numbers In-class Activity 4 Activity Empty Number Line Source Green Bk. P.227 Class 2nd Stage SEAL Stage 3-5 Tens and Ones, Level 3 Term Term 2/3 Curriculum Add numbers without and with renaming, within 99. objectives Object of Activity Assisting children to develop sophisticated addition and subtraction strategies by the use of the empty number line. MR aspect 9.2 Two digit addition and subtraction through counting Materials Pink cards, blue cards and log sheet Procedure Whole class/pairs: 1. On the whiteboard/overhead projector, the teacher draws the solutions to some addition and subtraction tasks (like those shown below) and asks the class what the question was and how the children solved it. Task A 38 + 24 Task B 72-33 2. Using ten frames (or ten strips) display and screen 48 dots. Here are 48 dots. Place another 24 dots next to them. How many dots are there altogether? Let’s try to look at different ways of working it out. Ask children to tell how they solved this task. As solutions are given the teacher uses the empty number lines to map strategies. Below are some examples of child strategies. 3. Using ten frames (or ten strips) display and screen 64 dots. Here are 64 dots. Remove 25 dots. I’ve taken out twenty-five dots, how many are left? Ask children to tell how they solved this task. As solutions are given the teacher uses empty number lines to map the strategies. Some possible child strategies are shown below. Notes Discuss the different alternative strategies. Highlight the use of non count-by-ones strategies for adding through decade numbers. Symbols/Recording Write the calculation in horizontal form using addition/subtraction signs. Modify/Extend Use missing addend/subtrahend tasks. Tens and Ones structure of 2-Digit Numbers In-class Activity 5 Activity Empty Number Line game 2 Source Green Bk. P.229 Class 1st /2nd Stage SEAL Stage 3-5 Tens and Ones, Level 3 Term Term 3/2 Curriculum Add numbers without and with renaming, within 99. objectives Object of Activity Assisting children to develop sophisticated addition and subtraction strategies by the use of the empty number line. MR aspect 9.2 Two digit addition and subtraction through counting Materials Pink cards, blue cards and log sheet. Pink cards have numerals from 40 to 60. Blue cards have numerals from 11 to 39. Procedure Whole class/pairs: Activity 1-How many? Children in pairs take turns to select a pink card and write the numeral displayed on the log sheet. These numbers are added using an empty number line which is drawn on the log sheet. The winner of each round is the player with the largest number. The best of five rounds wins. Player Pink Blue Total card card 50 32 1 50 32 82 Activity 2- ENL concentration Children play in pairs or threes. The pink and blue cards are laid out in separate rows, face down. Player 1 turns up a pink card and then turns up a blue card to try and find the match. If the cards match the player keeps them, if not they are turned back face down. 82 Notes Symbols/Recording Write the calculation in horizontal form using addition/subtraction signs on a log sheet. Modify/Extend Use subtraction calculations. Use calculations involving regrouping. Use missing addend/subtrahend calculations. On the board draw some of the strategies and discuss the merits/alternative strategies. Tens and Ones structure of 2-Digit Numbers In-class Activity 6 Activity Leap frog Source Purple Bk. P.134 Class 1st/2nd Stage SEAL Stage 3-5 Tens and Ones, Level 3 Term Term 3/2 Curriculum Add numbers without and with renaming, within 99. objectives Object of Activity To develop knowledge of 2-digit addition and subtraction with and without regrouping MR aspect 9.2: Two- Digit Addition and subtraction Materials Leap Frog game board. Spinners (see Fig 8.3 and 8.4), pencil, scrap paper for Empty number line, different colour counters for each team. Procedure A Leap Frog game board and special spinners are used to generate mixed addition and subtraction problems. 1. Practice counting up and down in tens on/off the decade with the whole class. 2. Player 1 spins to create an addition and subtraction problem. 3. The player states the number sentence and places the counter on the answer. 4. Next player takes turn. 5. Players take turns until one player has three counters in a row. Notes Leap Frog A- does not involve regrouping. Leap Frog B- some of the problems involve regrouping. The player may use an empty number line or number chart to solve the problem. Symbols/Recording Write the calculation in horizontal form using addition/subtraction signs on a log sheet. Modify/Extend Discuss other possible strategies. Spinners can be differentiated to suit learning needs. Tens and Ones structure of 2-Digit Numbers In-class Activity 7 Activity Add 9, add 10 Source Including Lower achievers in the Maths lesson p.27 Class 1st 2nd Stage SEAL Stage 3-5 Tens and Ones, Level 3 Term Term 3/2 Curriculum Add numbers without and with renaming, within 99. objectives Object of Activity To add or subtract 11 from any 2-digit number. MR aspect 9.2: Two- Digit Addition and subtraction Materials Add or subtract 11 game board, Special spinner, Procedure 1. With the whole class practice adding 10 to a number and jumping back one. Illustrate using the Empty Number line. 2. Physically demonstrate this by getting the children to take a large jump forward i.e. jump of ten and then a step backwards to show compensation. 3. Play Bingo- spinner divided into 9 and 10. Fill in numbers from 32- 42 on second spinner. Cross of numbers – first player who gets three in a row wins. Notes Children need to be able to add ten to any number before using it as a basis for adding 9. Game can be played with the whole class by using an enlarged game pboard. Class is divided into ‘x’ and ‘o’ teams. Symbols/Recording Write the calculation in horizontal form using addition/subtraction signs on a log sheet. Record compensation using the Empty number line. Modify/Extend Discuss other possible strategies. Spinners can be differentiated to suit learning needs. Tens and Ones structure of 2-Digit Numbers In-class Activity 8 Activity Add or Subtract 11 Source Purple Bk. P.137 Class 1st /2nd Stage SEAL Stage 3-5 Tens and Ones, Level 3 Term Term 3/2 Curriculum Add numbers without and with renaming, within 99. objectives Object of Activity To add or subtract 11 from any 2-digit number. MR aspect 9.2: Two- Digit Addition and subtraction Materials Add or subtract 11 game board, paper clip and pencil, Special spinner – see Disc accompanying Purple book for materials Procedure Use the Add or Subtract game board and special spinners to generate problems with addends and subtrahends of 11. 1. Practice counting up and down in tens on/off the decade with the whole class. 2. Player A spins to create an addition or subtraction problem. This player states the number sentence and places a counter on the answer. An empty number line can be used to solve the calculation. 3. Player B repeats the problem. 4. Play continues until one player gets 3 numbers in a row. Notes This can be adapted to a whole class game by placing a large game board on the whiteboard, dividing the class into two teams ‘x’ and ‘o’, and moving through the class with the spinners. Symbols/Recording Write the calculation in horizontal form using addition/subtraction signs on a log sheet. Modify/Extend Discuss other possible strategies. Spinners can be differentiated to suit learning needs. Tens and Ones structure of 2-Digit Numbers In-class Activity 9 Activity Adding to a decade number – Three in a row Source Including Lower Achievers in the Maths lesson Chapter 3 p.27 (Maureen Nixon and Sue Atkinson) Class 1st/2nd Stage SEAL Stage 3-5 Tens and Ones, Level 2,3 Term Term 3 Curriculum Add numbers without and with renaming, within 99. objectives Object of Activity To add or subtract to a decade number MR aspect 9.2: Two- Digit Addition and subtraction 8.4 Adding and subtracting to and from Decade Numbers Materials Spinner marked 10,20,30,40,50,60,70,80,90 Dice marked 1 to 3 Bingo grid (off decade numbers 11-93 – all numbers end in 1,2 or 3) Procedure 1. Player rolls dice and gets a number 1 to 3 2. Player then spins and gets a decade number 3. Player adds the numbers and marks the corresponding number on the bingo grid if possible. 4. Next Player takes their turn. Winner gets 3 in a row first. Notes Game can be played with the whole class by using an enlarged gameboard. Class is divided into ‘x’ and ‘o’ teams. Symbols/Recording Write the calculation in horizontal form using addition/subtraction signs on a log sheet. Record using the Empty number line. Modify/Extend By adapting the bingo grid the game can be changed to subtraction. Spinners can be differentiated to suit learning need Tens and Ones structure of 2-Digit Numbers In-class Activity 10 Activity Add to, or Subtract from 49 Source Purple Bk. P.138 Class 1st/2nd Stage SEAL Stage 3-5 Tens and Ones, Level 3 Term Term 3/2 Curriculum Add numbers without and with renaming, within 99. objectives Object of Activity To add or subtract decade numbers from 49 MR aspect 9.2: Two- Digit Addition and subtraction Materials Add or subtract 49 game board, Special spinner Procedure Use the Add or Subtract game board and special spinners to generate problems involving adding/subtracting a decade 10/20/30/40 to/from 49. Tens and Ones structure of 2-Digit Numbers In-class Activity 11 1. Practice counting up and down in tens on/off the decade with the whole class. Activity How many more? 2. Player A spins to create an addition or subtraction problem. This player states the number sentence and places a counter on the answer. An Source Green Bk. P.227 empty number line can be used to solve the calculation. Class 2nd 3. Player B repeats the problem. Stage Tens and Ones, Level SEAL Stage 5continues until one player gets33 numbers in a row. 4. Play Term Term 3 Curriculum Add and subtract with and without renaming, within 999. objectives Notes This can be adapted to a whole class game by placing a large game board on the Object of Activity To assist children to develop sophisticated strategies ‘o’,add and subtract three- whiteboard, dividing the class into two teams ‘x’ and to and moving through the digit numbers.spinners. class with the Symbols/Recording Write the calculation in horizontal form using addition/subtraction signs on a log sheet. Modify/Extend Discuss other possible strategies. Spinners can be differentiated to suit learning needs. MR aspect 9.1 Counting by 10s and 100s Materials Blank 100 square for overhead projector/whiteboard; blank 100 square for children; full 100 square transparencies for children to check their work. Screens to hide columns on 100 square. Procedure Pairs of children/ Whole class: Have cards with numerals from 100 to 1,000. The cards are placed in a stack in between the players. Children select the top card and work out how many more are needed to get to the next hundred. If required, the numbers and the children’s answers can be logged on a record sheet. Child/Team closest to the next 100 can receive a point. Notes Discuss how children came up with their answers Symbols/Recording Show jumps on ENL/write as missing addend. Modify/Extend Without material, ask the class to solve tasks such as: If I have 347, how many more do I need to make 400? Tens and Ones structure of 2-Digit Numbers In-class Activity 12 Activity Jump to 100 Source Purple Bk. P. 140 Class 1st/2nd Term 3/2 Stage SEAL Stage 3-5 Tens and Ones, Level 3 Curriculum Add and subtract with and without renaming, within 999. objectives Object of Activity To add two 2-digit number using the jump method and the Empty Number Line to record the strategy. MR aspect 2- digit addition and subtraction through counting Materials 100 square spinner Procedure Partners/teams 1. Use the 100 square and spinners to generate 2-digit addition problems. Record each problem that is generated as a separate horizontal number sentence. 2. Player A places marker on 1. Each spinner is spun to make the number that is to be added. The number Player A is on and the number spun are recorded. Use the jump method to move the marker to find the sum. The sum of the two numbers is recorded. 3. Player B repeats these steps. 4. Players alternated turns until both players have reached at least 100 e.g. Player A is on 23 and spins 30 and 4 record as 23 + 34. Player A works out the sum mentally and uses an ENL to record the strategy. Notes Use with whole class by splitting the class into teams and displaying a large 100 square on the board. Symbols/Recording Writing sums in horizontal form in addition to recording on the ENL Modify/Extend Use numbers beyond 100 Tens and Ones structure of 2-Digit Numbers In-class Activity 13 Activity Jump from 100 Source Purple Bk. P. 140 Class 1st/2nd Term 3/2 Stage SEAL Stage 3-5 Tens and Ones, Level 3 Curriculum Add and subtract with and without renaming, within 999. objectives Object of Activity To subtract a 2-digit number using the jump method with the support of the number chart MR aspect 2- digit addition and subtraction through counting Materials 100 , spinner Procedure Partners/teams 1. Use the 100 square and spinners to generate 2-digit addition problems. Record each problem that is generated as a separate horizontal number sentence. 2. Player A places marker on 1. Each spinner is spun to make the number that is to be subtracted. The number Player A is on and the number spun are recorded. Use the jump method to move the marker to find the solution. The difference of the two numbers is recorded. 3. Player B repeats these steps. 4. Players alternated turns until both players have reached at least 100 e.g. Player A is on 58 and spins 30 and 4. Start at 58 and jump up 3 rows and left 4 columns. Record as 58- 34=24. Notes Use with whole class by splitting the class into teams and displaying a large 100 square on the board. Symbols/Recording Writing sums in horizontal form in addition to recording on the ENL Modify/Extend Use an Empty Number line Use numbers beyond 100 Tens and Ones structure of 2-Digit Numbers In-class Activity 14 Activity Calculator Challenge Source Purple Bk. P. 140 Class 2nd Term 3 Stage SEAL Stage 3-5 Tens and Ones, Level 3 Curriculum Add and subtract with and without renaming, within 999. objectives Object of Activity To solve problems involving 2-digit addition and subtraction with missing addends and subtrahends MR aspect 2- digit addition and subtraction through counting Materials Calculator, paper and pencil Procedure Whole class, small groups, pairs, individuals 1. The teacher instructs the children to enter a number into their calculator (e.g. 54). Then tells them a new target number (e.g. 34). 2. Their challenge is to add/subtract from the original number to show 34 on the screen. 3. The child/team who reaches the new target number by pushing the least number of keys wins the challenge. Notes Symbols/Recording The beginning number and target numbers can be on a worksheet where the children record the keys pressed to get the answer. Modify/Extend Children can only add or subtract 10 or 1. Tens and Ones structure of 2-Digit Numbers In-class Activity 15 Activity Target Number Source Purple Bk. P. 141 Class 1st/2nd Term 3/2 Stage SEAL Stage 3-5 Tens and Ones, Level 3 Curriculum Add and subtract with and without renaming, within 999. objectives Object of Activity To solve problems involving 2-digit addition and subtraction with missing addends and subtrahends MR aspect To jump by tens on a hundred square. Materials 100 squares for children,100 square transparency, paper and pencil Procedure Whole class, small groups, pairs, individuals 1. Hundred square is placed on whiteboard/overhead projector. 2. The teacher selects a target number e.g. 53 and places a mark on the square. 3. The teacher then selects a new target number. 4. Different strategies are suggested by students on how to get to the target number. 5. Children can try out the strategies on their own 100 squares. b Notes Symbols/Recording The beginning number and target numbers can be on a worksheet where the children record the keys pressed to get the answer. Modify/Extend Children can only add or subtract 10 or 1. Tens and Ones structure of 2-Digit Numbers In-class Activity 16 Activity Walk-about Sequences Source Purple Bk. P. 141 Class 1st/2nd Term 3/2 Stage SEAL Stage 3-5 Tens and Ones, Level 3 Curriculum Add and subtract with and without renaming, within 999. objectives Object of Activity To practice forward and backward number word sequences by ten on and off the decade numbers. MR aspect Incrementing and decrementing by tens and ones Materials None Procedure Whole class/small group 1. The teacher begins the activity by roaming about the room while saying the number word sequence aloud. At some point, she taps a child on the shoulder. The child then picks up the sequencing and wandering. When the teacher says Stop the child then taps another child who continues. Notes This activity can be done with any number sequence Symbols/Recording Write the sequences on a board when finished. Modify/Extend Extend the sequence beyond 100. Tens and Ones structure of 2-Digit Numbers In-class Activity 16 Activity Bead string with ten catcher Source Purple Bk. P. 136 Class 1st/2nd Term 3/2 Stage SEAL Stage 3-5 Tens and Ones, Level 3 Curriculum Add and subtract with and without renaming, within 999. objectives Object of Activity To add ten and tens to any number MR aspect Incrementing and decrementing by tens and ones. Materials 100 Bead string, cloth or tube for cover Procedure Whole class, small groups, pairs, individuals 1. Use a bead string with alternating colours for each set of 10 beads. 2. Briefly show the first collection and then cover with a tube or piece of cloth. 3. Use a ten catcher to slide a second collection beside the first. 4. Leave the second collection uncovered and ask how many beads altogether? Notes If you do not have a ten catcher move ten beads manually- it is important to move the beads as a group of ten. Symbols/Recording Record the calculations on a whiteboard. Model children’s thinking on a ENL Modify/Extend Both collections can be screened. Tens and Ones structure of 2-Digit Numbers In-class Activity 17 Activity 100 square race Source Purple Bk. P. 136 Class 1st/2nd Term 3/2 Stage SEAL Stage 3-5 Tens and Ones, Level 3 Curriculum Add and subtract with and without renaming, within 999. objectives Object of Activity To add ten and tens to any number MR aspect Incrementing and decrementing by tens and ones. Materials 100 square, spinner marked 10,10,1,1, counters of different colours Procedure 1. Two children share a 100 square. 2. Each child has a counter. Children roll a dice to see where they will start from on the first row. Children take turns to spin the spinner and move the correct number of spaces. 3. When they reach the bottom row they stop spinning and wait until their partner reaches the bottom row too. The winner has the number closest to 100. Notes Symbols/Recording Record calculations. Modify/Extend Use a blank 100 square. Tens and Ones structure of 2-Digit Numbers In-class Activity 18 Activity Stick spinner games to 100 Source Purple Bk. P. 136 Class 1st/2nd Term 3/2 Stage SEAL Stage 3-5 Tens and Ones, Level 3 Curriculum Add and subtract with and without renaming, within 999. objectives Object of Activity To add ten and tens to any number MR aspect Incrementing and decrementing by tens and ones. Materials Spinner marked 1,1,2,10,10,20 Bundles of sticks Procedure 1. Game 1 Children take turns to spin the spinner. They take the correct number of sticks and give their total after each turn. See who has the most after 5 throws 2. Game 2 Make a hundred. Children take turns to roll a 1-6 dice. Whatever number they get they can choose to have that many bundles (10 sticks) or sticks. After 5 throws whoever has the nearest to 100 wins. If you have more than 100 you lose. Notes Symbols/Recording Record calculations. Modify/Extend Use place value cards for activity 2. Activity 1- Bus settings to 100 Activity 6 Leap Frog A- no regrouping Activity 6 Leap Frog B- regrouping Activity 7- Add 9, add 10 Insert spinner divided into 9 and 10. Insert blank spinner. Insert 5x 5 blank bingo grid. Activity 9 Insert Spinner marked 10,20,30,40,50,60,70,80,90 Activity 12/13 Insert 100 square and spinner 1-6 and spinner 10,20,30,10,20,30

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