Tasks to Move Students On

Transcription

1 Maths for Learning Inclusion Tasks to Move Students On Part 1 Maths for Learning Inclusion (M4LI) Tasks to Move Students On Numbers 1 10 Structuring Number Maths for Learning Inclusion (M4LI) Tasks to Move Students On Numbers 1 20 Addition and Subtraction Maths for Learning Inclusion (M4LI) Tasks to Move Students On Using the Base 10 System

2 Maths for Learning Inclusion Tasks to Move Students On Part 2 Maths for Learning Inclusion (M4LI) Tasks to Move Students On Saying, Reading and Writing Numerals Maths for Learning Inclusion (M4LI) Tasks to Move Students On Beginning Multiplication and Division Maths for Learning Inclusion (M4LI) Tasks to Move Students On Multiplication and Division

3 Maths for Learning Inclusion Intervention Kit Tasks To Move Students On

4 Maths for Learning Inclusion Maths for Learning Inclusion Tasks to Move Students On Tasks to Move Students On Part 2 Part 1

5 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 10 Structuring Number Question 1 COUNTING Trusting the count Counting a collection to find out how many Tasks to move students on: a) A Scattered Collection (Objects such as counters, shells, teddy bears etc) Show a scattered collection of objects and ask how many? Put objects in a line and ask now how many. Have the student count from each end and from the middle. Make groups, how many in each group, and how many altogether. b) Counting a collection (Objects such as counters, shells, teddy bears etc) Have students count a small collection of objects. Could we find out how many if we count by 2 s? 3 s? 4 s? etc c) Making a necklace (Beads and thread) Have the student count out eg. 6 beads to make a necklace (choose other numbers) d) Children and Ages (Pictures of Children and their Ages) Show student the pictures. Have them group them and count how many in each group. e) Rearranging a Collection (Objects such as counters, shells, teddy bears etc) Have the student rearrange a collection of objects so its easier to count. For example put the counters into groups of 2 or 5 or 10. f) Constant Function (Calculator) Use the constant function (1 + 1===) on the calculator to: Count by one s, Skip count. g) Which is Bigger? (Counters) Ask student to say which is bigger 3 or 4. Have the student convince you of this in some way (they can use concrete materials if they want). Do this with other numbers. h) Counting using MAB (MAB) Arrange MAB eg place out 2 ones then ask students to count on. i) Numbers Bag (Number bag with numbers appropriate for student) Draw out a number then get the student to write the number sequence that follows the number eg. If they pull out 3 they write 4, 5, 6 etc. j) Ten New Students (Pencil and paper) Say to the student imagine that ten new students were coming to school next term. Draw a picture to show me how many boys and girls could there be. k) How Many Now? (Objects to count) Put a selection of items in a circle - number depending on child). Ask how many objects are there? If the student doesn t stop where they started you need to discuss stopping where you started so that you don t count objects twice. Put out a number of objects in a row and ask how many move the objects into a different arrangement then ask how many again. Repeat this activity a few times putting the objects in different arrangements. The child should recognise that although the objects have moved the number is still the same. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

6 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 10 Structuring Number Question 2 SUBITISING Seeing how many at a glance Thinking of numbers in parts Tasks to move students on: a) Pick up Blocks (Blocks or counters or objects) Without counting ask the student to pick up 2 blocks, 3 blocks etc. b) How many? (Cubes or counters, cloth or large piece of paper, dominoes and dice). Put out counters on the table in a familiar dice pattern, uncover the pattern for a short time and ask the student to identify how many counters there are. As the student gets quicker at recognising the patterns, increase the amount of counters. c) Dropping Counters (Counters or blocks or objects) Who is the quickest to say how many are dropped? d) Dice Rolling (Dice) Roll a die, and ask the student How many dots do you see? When they can do this quickly, Roll two dice, and ask How many dots do you see? e) What Do You See? (Subitising Cards non standard and standard) Flash What Do You See Cards. Rotate the card so that it is in a different direction and ask students to look for different groups. Draw attention to groups of in the patterns, example 5 and 2 is 7. Play snap and memory with the cards f) Making Dot Cards (Cards and dots) Have students make their own pairs of cards with groupings of up to six dots on them, randomly placed. Play snap. Have student use increasingly larger numbers as they become confident. g) How Many Fingers? (No resources) Have two students face each other, then clap their hands three times before holding up between five and ten fingers. Have them show all the fingers on one hand and some extra fingers on the second hand. Together, students say how many fingers are held up together. h) Blank Ten Frames (Blank Ten frames and counters) Using 2 different coloured counters, put some counters in groups on a blank 10 frame and state the number sentence for the groups they see e.g. 8 and 2 is 10. i) Take a Quick Look (Cubes or counters, cloth or large piece of paper, dominoes and dice) Put out counters on the table in a familiar dice pattern, uncover the pattern for a short time and ask the student to identify how many counters there are. As the student gets quicker at recognising the patterns increase the amount of counters. Using dominoes ask the student to show you the patterns they now know. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

7 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 10 Structuring Number Question 3 Making finger patterns Tasks to move students on: The student needs to be able to raise the fingers automatically and not one after the other (i.e. if you asked a student to show you seven fingers you want them to be able to do this automatically and not put up 5 then add on 2) a) Show me using your fingers (Model if necessary) b) Show me with fingers (Model if necessary) Show me 6 fingers. Show me 6 a different way. Continue with other numbers Record eg. 4 is 4 and 0, or 3 and 1 or 2 and 2. c) Show me using two 2 hands (Model if necessary) etc fingers Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

8 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 10 Structuring Number Question 4 Partitioning Five Tasks to move students on: a) Five Frames (Five frames) Show student a five frame. If it has, for example 2 dots in it, tell the student you see two dots and three empty squares. Flash the student another Five Frame and ask what did they see? Repeat this with all frames. b) Empty Five Frames (Blank five frames) Put counters in some of the blank squares and ask the student what do you see? c) Five Counters (Counters) Put out 5 counters and ask the student to make groups, for example you can make two groups 1 group could have one counter in it and the other would have 4. d) Make 5 (Two sets of five frame cards) Place the cards face up and have the student try to find two cards that together total 5. To challenge the student turn the cards face down. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

9 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 10 Structuring Number Question 5 A Five Pattern on a Ten Frame Tasks to move students on: a) Making 5 (1 5 number cards) Put out a number and have student tell you the other number needed to put with it to make 5. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

10 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 10 Structuring Number Question 6 A Pair Pattern on a Ten Frame Tasks to move students on: a) Double it Using Unifix (Unifix cubes or counters) Put out 1 unifix cube or counter, show student how you can double it by putting the same out again. Do this with other numbers. Have the student count the doubles. Record. b) Double it Using Arrays (Paper and Pencil, counters) Draw 2 objects in an array and write how many there are. Draw 6 objects in an array and write how many there are. Do this with other numbers. Do this same activity but use counters. c) Double on a Ten Frame ( Doubles on a Ten Frame Cards) Flash doubles on a ten frame and ask student how many are there? When student knows their doubles on the ten frame add one to it. Show them how they can use their knowledge of doubles to work out how many there are. d) Flashing Doubles (Doubles Cards) Flash the doubles cards and ask student how many are there? e) Blank Ten Frames (Blank Ten Frame and Counters) Use ten frames to show doubles. For example, use a blank ten frame, and place 3 counters in one row. Ask the student to place three in the other row (to make 6) and explain that double three is six. Repeat this for other numbers. f) Doubling Counters (Counters) Repeat the above activity, but use counters to demonstrate doubles for larger numbers that won t fit on a 10 frame. g) Memory/Snap (Memory/Snap Double Cards) In this game the pairs are doubles (i.e. 4 and 8 match). (Play with either the dot or number cards). Use the cards as flash cards - ask the student to say the double for the number. h) Doubling Dice (Dice) Use dice to practice doubles. Roll a die - ask the student to say the double of that number. i) Halve it Double it (Number cards and counters) Use number cards and ask students to say which number is half of it (i.e. number on card is 10: answer is 5), and double it (number on card is 10: answer is = 20). (The student might need counters.) Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

11 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 10 Structuring Number Question 7 & 8 Combining to Make 10 and Missing Addend Problems Tasks to move students on: a) Number Combinations of 5 (Cards 1-5) Show them all the 2 number combinations that add up to 10. Have them solve them. b) Number Combinations of 10 (Cards 1-10) Show them all the 2 number combinations that add up to 10. Have them solve them. c) How Many More To Make 10? (Blocks, straws, counters, objects, or pictures) Put out 2 blocks, straws, counters, objects, or pictures and ask the student how many more to make 10 (do this with other numbers - up to 10). Roll a large dice. Have the student say the number, and then ask how many more to make ten? d) Making 10 (Cards 0-10) Scatter the number cards 0-10 in front of the student and ask the student to put two cards together so they add up to 10. Ask if they know any other 2 numbers that add up to 10. Repeat question but have the student answer it without using cards. e) Dot Cards (Card) Have students make own dot cards 1-10 and when finished ask them what two cards can they put together to make 10. f) Unifix Cubes (10 Unifix Cubes) Give the student 10 unifix cubes joined together. Have them break them into parts to discover the different number combinations that make 10. Record. g) Flip Blocks ( Flip Block Toss Game Board) Using 10 flip blocks of the same colours play Flip Block Toss. Rules: Hold 10 flip blocks in the palm of your hand and gently toss the blocks on the table. Students sort them into the two coloured groups and record onto the frame. Have student say and write the number sentence. h) Part-Part-Whole (Using Part-part-whole grid and 10 unifix cubes) Using the part-part-whole grid separate 10 unifix cubes and place on the grid. Have student say and write the number sentence. Ask if they can write it another way? Explain the concept of the grid to the student. i.e if we know the whole and one part, we can find the other part? How would we do this? What would the number sentence be? What if the other part was missing? What number sentence would we write? After the initial session, ask how many different ways could you say and write this number sentence? Encourage student/s to learn the 4 ways for any number sentence up to 10. Repeat this activity using an Abacus. As student becomes more confident work with combinations to 20. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

12 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 10 Structuring Number Question 7 & 8 Number combinations of 5 and 10 i) Number Line 1-10 (Number line) Introduce a number line 0-10 on a stick or floor mat. Jump along eg. Start at 0 and jump two spaces forward, and then 8 more. Ask student What number do you land on? j) Number Bonds to 10 (Using game board) Game board and instructions in resource folder. k) Birds in a Tree (Birds and Trees Pictures) Show the student five bird pictures and tell the student how many there are. Place out the pictures of trees in front of the student. You put one bird in a small tree and four in a large tree. Say: there are four birds in the first tree and one bird in the second tree. Move one bird so that there are three birds in one tree and two birds in the other. Then ask: Are there still five birds altogether? Repeat the activity for combinations of 2 and 3, 1 and 4 and 0 and 5. Repeat using 10 birds. l) Combining Two Groups (Beads, two pieces of card or paper, number cards) Ask the students to count ten beads checking the students counting skills. Ask the students to split the beads into two groups then cover each group with a piece of paper. Q: How many beads are there altogether? If the student has difficulty with this let them look under one piece of paper at a time. Q: How can you work out how many altogether? Repeat this activity with different amounts until the student can combine the two groups.

13 Children & Their Ages 10 years old 9 years old 10 years old 7 years old 9 years old 10 years old 10 years old 10 years old 9 years old 6 years old 5 years old 10 years old Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

14 5 years old 5 years old 6 years old 5 years old 12 years old 5 years old 7 years old 7 years old 6 years old 12 years old 8 years old 8 years old Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

15 Number Cards Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

16 Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

17 Subitising Cards Standard Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

20 Subitising Cards Non-Standard Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

23 Subitising Cards Doubles Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

25 Blank 10 Frames Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

26 Five Frames with Dots Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

27 Blank Five Frames Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

28 Double on a Ten Frame Card Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

31 Flip Block Toss Gameboard Toss 10 flip blocks. Separate the colours on the frame. Say what the number sentence is and write it underneath. Date: Number Sentence: Date: Number Sentence: Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

32 Part Part Whole Grid part part whole 1. Using the part-part-whole grid separate 10 unifix cubes and place on the grid. 2. Say and write the number sentence. 3. Can you write it another way? 4. Explain the concept of the grid to the student. i.e if we know the whole and one part, we can find the other part? How would we do this? What would the number sentence be? What if the other part was missing? What number sentence would we write? After the initial session, ask how many different ways could you say and write this number sentence? Encourage student/s to learn the 4 ways for any number sentence. Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

33 Number Line Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

34 Number Bonds to 10 Gameboard Each player gets counters of the same colour (about 10). Player 1 spins a 1-9 spinner and then identifies the number on the grid that needs to be added to the spinner number to make 10. When a player gets 4 counters in a row they win. Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow)

35 Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 10 Structuring Number (Yellow) Birds and Trees

36 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 20 Addition and Subtraction Question 1 Additive Tasks Tasks to move students on: a) Flip Tile Toss (Flip tiles) Give students some flip tiles. Throw them and then count how many red tiles and how many yellow tiles. Create an addition equation for this. Use various amounts of tiles to create equations. b) Card Game (Deck of cards) Split a deck of cards into two piles. Turn over one card from each pile. The first person to call out the correct answer to the addition of these numbers takes the cards and adds them to their pile. The winner is the person with the most cards at the end of the game. c) Dice Roll (Two dice or two ten sided dice) Alternative: Roll two dice and add the numbers together. The first person to get 10 correct answers is the winner. d) How Many More? (Spinner) Roll a dice/spin a number spinner. How many more do you need to add to that number to make 10? (or 15, 20 etc). Use a number line to count on to find the missing addend. e) Beanbag Toss (Number cards, bean bags) Have numbers 1-20 placed on large cards the floor. Students throw a bean bag onto a card. They must then calculate the number that needs to be added to this number to make 20 (or 10/15 etc). If they are correct, they keep the card, the person with the most cards at the end of the game is the winner. f) Making 20 (Number cards 1-20) Have number cards (assorted to 20) face down on the table. Pick up one card. How many more to make 20? If the answer is correct, the student may keep the card. The winner is the person with the most cards at the end of the game. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

37 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 20 Addition and Subtraction Question 1 continued Additive Tasks g) Calculator Adding (Calculator, number cards and symbols, counters or cubes) Ask the student to put a number sentence into the calculator, checking that the student can identify the + and = keys. Can the student construct a number sentence with the cards to match the one made on the calculator? Encourage the student to experiment with the calculator. h) Adding Stories (Cubes, hoops and dice) Tell the student you are going to create some stories which include adding. Let the student choose a context which is suitable to them e.g there are 4 children at the party and 3 more arrive. Q: How many are there altogether? Show me how you know that. Let s make a list of all the words you can think of that we use when we are adding. Some puppies are black and some are brown. Altogether there are 12 puppies. Q: How many black puppies and how many brown puppies could there be? i) Combining Two Groups (Beads, two pieces of card or paper) Ask the students to count seven beads checking the students counting skills. Ask the students to split the beads into two groups then cover each group with a piece of paper. Q: How many beads are there altogether? If the student has difficulty with this let them look under one piece of paper at a time. Q: How can you work out how many altogether? Repeat this activity with different amounts until the student can combine the two groups. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

38 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 20 Addition and Subtraction Question 2 Subtractive Tasks Tasks to move students on: a) Flip Tile Toss (Flip tiles) Give the students a pile of flip tiles. Ask the student to throw them up into the air and record the number of red and yellow tiles showing when they land. Write two subtraction equations for each. b) Card Game (Deck of cards) Shuffle a pack of cards. Turn over two cards and subtract the smaller from the larger. The first person to call out the answer keeps the cards. The winner is the person with the most cards at the end of the game. c) Subtraction Bingo (Bingo board) Play bingo. Instead of calling out the number, say a subtraction problem that has the number as the answers. i.e. for 5, say 12-7 = etc. d) Counter Removal (Counters) Start with a number of counters on the table. Ask the student to look away and remove some. Ask How many counters did I take? Ask the student to record a number sentence for this. e) Winning Equation (Number cards 1-20) Place the number cards 1-20 face down on the table. Ask students to pick two cards. i.e. 10 and 4. Ask students to create a subtraction equation where the answer is known (10 - [ ] = 4) and then answer it. If their answer is correct, they can keep the card. The winner is the person with the most cards at the end of the game. f) Frogs and Lily Pads (Green cubes to represent frogs, circles of green paper to represent lily pads) Ask the student to select eight or nine frogs and put each frog on a lily pad. Q: Can you count the frogs? Q: Can you count the lily pads? Q: What can you tell me about these two numbers? (That they are the same). Ask the student to take away some frogs, Q: How many frogs did you start with? Q: How many frogs did you take away? Q: How many frogs are left in the pond? Repeat the activity with a different number of frogs and lily pads. Q: Show me the ones you took away. Q: Show me the ones that are left. How many are left? Q: Let s write a number sentence about this. How many did we start with? g) How Many Left? (Cubes and pieces of paper to represent biscuits and plates, number line and felt pens) Put seven biscuits on a plate. Q: How many biscuits? Q: Take some biscuits away and tell me how many you have taken away. Q: How many are left? On a white board or on a number line or track relate the taking away to counting back on a number line. Encourage the student to verbalise and record some number sentences such as: 5 count back 2 means you land on 3, 5-2 = 3 Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

39 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 20 Addition and Subtraction Question 3 Double Dot Cards Tasks to move students on: a) Double Dice Roll (Dice) Roll a dice. What would double the number be? (Note: Can use a second dice to help student). b) Domino Add (Dominoes) Practice with flashcards/dominos. Ask - How many on each side? How many altogether? c) Ten Frame Doubles (Blank 10 frames, counters) Use ten frame cards. Put counters in the top row. Ask How many would there be if I put the same amount in the bottom row? Write sum to match i.e = 6 d) Observation Walk (No resources) Look for objects that have doubles in the environment. i.e = 2 - wheels on a bike, = 8 - legs on a spider etc e) Unifix Stacks (Unifix cubes) Make 2 equal stacks with unifix cubes. How many altogether? Write the equation for this. f) Number Line Doubles (Number line) Use a number line to show doubles (including large number line on the floor that students can step on) g) Doubles Snap/Memory (Deck of cards or number cards) Play snap/memory with number cards. Pairs are numbers and their doubles. i.e. 4 and 8 would be a pair. h) Two Towers (Cubes and a whiteboard) Make two columns or towers each of twelve inter locking cubes. Show the student one tower. Q: How many cubes are there in this tower? Show the student the second tower and place the two towers side by side. Q: How many cubes make up the second tower? Establish that the towers are the same height and have the same number of cubes. Repeat with different numbers. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

40 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 20 Addition and Subtraction Question 4 Close to Double Tasks to move students on: a) Ten Frame Close to Doubles (Ten frames and counters) Use ten frames to explore close to doubles. For example, show students a card with on it and give them 11 counters. Ask students to place the counters on the ten frames, one on the top/one on the bottom at a time. Discuss that 5 +6 = = 11 b) Number Line Demo (Number lines) Use a number line to demonstrate close to doubles. i.e = and = Note: A number line can also be drawn on the asphalt/floor so that students can actually jump the jumps as they count on. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

41 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 20 Addition and Subtraction Question 5 Simple Addition Tasks to move students on: a) Ten Frame Addition (Ten frames and counters) Use a ten frame and counters to show counting through ten. For example, = i = 12 b) Recording Ask students to place the counters on the ten frame, and then write the equation showing counting through 10. i.e = 12 c) Five Frame Addition (Five frames, counters) Use a five frame to show counting through 5, using the same method as for counting through ten = d) Number Line Addition (Number line) Use a number line to show counting through five or ten. Ask the student to record the equation, showing this strategy. b = Note: A number line can also be drawn on the asphalt/floor so that students can actually jump the jumps as they count on. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

42 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 20 Addition and Subtraction Question 6 Simple Subtraction Tasks to move students on: a) Ten Frame Subtraction (Ten frames, counters) Use a ten frame and counters to show subtraction through ten. For example, 11-3 = = 8 b) Recording Ask students to take the counters from the ten frame, and then write the equation showing subtracting through 10 i.e = 8 c) Five Frame Subtraction (Five frames, counters) Use a five frame to show subtraction through 5, using the same method as for counting through ten = 3 i. 7-4 = d) Numer Line Subtraction (Number line) Use a number line to show counting through five or ten. Ask the student to record the equation, showing this strategy = Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

43 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 20 Addition and Subtraction Question 6 continued Simple Subtraction e) Subtraction Snap/Memory (Set of question and answer cards) Play games such as snap and memory with question and answer cards. For example, would be a match f) Bye Bye Biscuits (Different coloured blocks, number line) Use blocks to represent thirteen biscuits on a plate. Q: How many biscuits? Q: Take some biscuits away and tell me how many you have taken away. Q: How many are left? On a white board or on a number line or track relate the taking away to counting back on a number line. Have the student record the number sentence. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

44 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 20 Addition and Subtraction Question 7 Addition and Subtraction Tasks to move students on: a) Flashcard Strategies (Flashcards) Use flash cards with addition and subtraction number sentences on them. Reinforce/discuss the strategies that can be used to solve these (counting through ten, doubles, close to doubles etc) b) Ten Frame Addition (Ten frames and counters) Use a ten frame and counters to show counting through ten. i. For example, = = 12 c) Number Line Addition (Number line) Use a number line to show counting through five or ten. Ask the student to record the equation, showing this strategy = Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

45 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 20 Addition and Subtraction Question 7 continued Addition and Subtraction d) Snap/Memory (Addition question and answer cards) Play games such as snap and memory with question and answer cards. ii. For example, would be a match e) More Calculator Adding (Cubes, number line, 2 sets of number and symbol cards and a calculator) Ask the student to key in 4+6=10 and ask them what they will have to do to get the answer back to 4? Ask student to make the number sentences with the cards. Encourage student to use cubes or the number line to help them. Repeat this activity with different numbers, then go back to making number sentences with the cards. Can the student check their answers using their calculators? Lay out the number sentence 4-6=10 ask why this isn t correct, give the student cubes to support their working if needed. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

46 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 20 Addition and Subtraction Question 8 Number Relationships / Number Facts Tasks to move students on: a) Coummutative Law (Materials such as beans, counters, blocks, straws etc) Use everyday materials to represent all the combinations of a given number. Discuss Commutative Law - i.e. Is the same as 6 + 5? How are they the same? How are they different? b) Counting Strategy (Unifix cubes) Use unifix cubes to demonstrate connection between equations (i.e = = 4 + 4). Start with 6 and 2, take 1 from one stack and add it to the other. Write the new equation (5 + 3). Ask How many are there now? Discuss how the parts of the equation may be different, but the total is the same (i.e. one up/one down) c) Inverse Relationship (MAB blocks) Use MAB Blocks to explore inverse relationships (and Commutative Law). Ask students to write all the number sentences that can be made i.e = = = = 5 d) Add and Subtract (Counters) Write a simple addition equation for the student. (i.e = ) Provide counters and ask them to show you the equation using the counters. Ask them to write another addition equation using these amounts (5 + 9 = 14). Then ask the student to make a subtraction sum using these amounts. (i.e = 5). Ask Is there another subtraction sum that you could make using these amounts? Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

47 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Numbers 1 20 Addition and Subtraction Question 8 continued Number Relationships / Number Facts e) Calculator Inverse Relationships (Calculator) Have student 1 enter a number into a calculator without anyone seeing it and then add an agreed number eg. 8. Student 2 then writes the number sentence used. eg. + 8 = 12 and then rewrites it in a way that can be solved on the calculator. eg = f) Making Sentences (Cubes, number and symbol cards) Tell the student you want them to make 2 different sized rods that make 12 when added together. Explain that you are going to make some addition and subtraction sentences that use 12. Encourage the child to record their sentences e.g. 8+4 = = 12. Continue with different numbers. g) On the Number Line (Cubes, number lines or whiteboards and number cards) Explain you are going to make sensible number sentences that go together, ask the student to choose the numbers and explain you will record the sentences. Ask the student to mark their starting number on the number line, if you close your eyes can you imagine some hops along the number line to get to a number bigger than your number (or smaller). To make that number sentence which cards would you need? Again discuss vocabulary. Can the student explain what it means when we say addition undoes subtraction. Maths for Learning Inclusion Intervention Kit Tasks to Move Students On July 2008

48 Numbers 1 20 (Large) Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 20 (Green)

49 Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 20 (Green)

58 Number Cards Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 20 (Green)

59 Symbol Cards + - = Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 20 (Green)

60 Subtraction Bingo / Subtraction Snap Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 20 (Green)

66 Number Line Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 20 (Green)

67 Flashcard Addition & Subtraction Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 20 (Green)

71 Addition Question and Answer Cards / Addition Bingo Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 20 (Green)

77 Blank 10 Frames Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 20 (Green)

78 Blank Five Frames Number Intervention Kit Resources to support Tasks to Move Students On - July Numbers 1 20 (Green)

79 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Using the Base 10 System Question 1 Counting by tens using 10 Dot Cards Tasks to move students on: a) 100 Chart Skip Counting (1 100 chart, counters) Practice counting by tens using a chart, placing a counter on each number as you say it. What happens to the tens place each time you move forwards? b) 10 Strip Counting (Ten strips) Practice counting by tens using the 10 strips. c) Card Count (Decade cards) Have cards (10, 20, 30 etc). Turn one over (i.e. 60) ask the student to count on in tens (i.e ) d) Ten Jump (Chalk, hardcourt) Write the numbers 10, 20, (or starting at another number i.e. 60, 70, etc) on the asphalt with chalk. Ask the student to jump from one number to the next (in order) and say the number aloud as they jump. Maths for Learning Inclusion Tasks to Move Students On July 2008.

80 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Using the Base 10 System Question 2 Counting on by 10 using Dot Cards Tasks to move students on: a) Counting On (Die, MAB long, ten strips) Roll a die. Start at this number and count on by tens using MAB ten blocks or ten strips to assist. b) Number Chart Count On (1 100 Number chart) Use a Chart. Ask student to choose a number and count on by tens. c) Jumping Tens (Large chart) Draw a large Chart on the asphalt (or on a large piece of paper etc). Ask the student to start at a given number and count on by 10, jumping from one number to the next (in order) and saying the number aloud as they jump. d) Calculator Skip Count (Calculator) Use a calculator to explore counting by 10s. Start at a number and predict what the answer will be if you count on by tens 5 (or 6, 10 etc) times. Check your answer. e) Hundreds Chart (Paper strips, calculator) Give students a strip of paper. Ask them to record any number between 1 and 9 at the top. Enter the chosen starting number on the calculator and add on 10. eg = = =. Record numbers on the strip. Ask What number will be next? Maths for Learning Inclusion Tasks to Move Students On July 2008.

81 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Using the Base 10 System Question 3 How many do I have now? Tasks to move students on: a) Counting On (MAB minis and longs, cover card sheet) Arrange MAB tens and ones in a line. Cover the blocks with some card and uncover as the student counts. Rearrange the blocks and ask the student to recount. Is there the same amount? Reinforce the concept of counting on by 10s to add the ten blocks and then adding on ones for the minis. This can be supported by using a Chart. i.e = = 24 Cover Card + 2 = = = 39 etc b) Dice Roll (Ten sided dice) Students work in pairs to make addition sums for each other. Person 1 rolls two 10 sided dice, the first one tells how many MAB tens will be used and the second how many MAB ones will be used. This person then organises these blocks in any order under the cover sheet (similar to the activity above). The MAB blocks are then revealed one part at a time (as in activity a) and the second person must then add the amounts as they are uncovered. NOTE: Discuss with the student the strategies they used to add. If the student is having difficulty, provide a Chart and suggest the student adds the MAB tens first and then the MAB ones. Maths for Learning Inclusion Tasks to Move Students On July 2008.

82 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Using the Base 10 System Question 4 Skip Counting by tens of the decade Tasks to move students on: a) Dice Decades (6 or 9 sided dice) Roll a die. Start at this number and count on by ten b) Card Count Off (Number cards 1 20) Pick a number card from the 1-20 pack. Count on from this number by tens. c) 100 Chart Count On (1 100 chart) Use a Chart to practice counting on by 10. Choose any number and ask the student to count on from there by 10s d) Jump and Count (Large chart) Draw a large Chart on the asphalt (or on a large piece of paper etc). Ask the student to start at a given number (off the decade) and count on by 10, jumping from one number to the next (in order) and saying the number aloud as they jump. e) Counting Sequences (Line of students or counters) Ask the class to form a line. Beginning at 10, have students say in turn the next number in the counting sequence, going down the line and then back again. Maths for Learning Inclusion Tasks to Move Students On July 2008.

83 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Using the Base 10 System Question 5 Place value cards Tasks to move students on: a) Highest and Lowest (Dice) Roll 3 (or four) dice. Arrange them to make the largest number possible. Record this number. What is the value of each numeral? Then arrange the numbers to make the smallest number possible. b) Rock and Roll (Dice) Each student rolls 5 dice together. They then arrange their dice to make the largest number possible then call out Rock and Roll. Every other player must then freeze. The first player to call out then reads out their number, earning 10 points if they read it correctly. The person with the highest number earns 5, everyone else earns no points. The first person to 50 wins. c) Place Value Snap (Deck of cards) Play Place Value Snap. One person turns over a card for Tens column, the other for the Ones column. The player who says the correct number first keeps the cards. If it is a tie, the cards are put to the side, the pile building until one person gives a correct answer. They then keep all the cards in the tie pile. The winner is the person who has the most cards at the end of the game. d) Record the Number (MAB blocks, dice) Roll two (or 3, 4) dice. Use the numerals to record a number. Then make this amount using MAB blocks grouping in hundreds, tens and ones. Ask the student to record how many Hundreds, Tens and Ones are in each column. e) Largest or Smallest (Number cards or deck of cards) This game can be done making either the largest or smallest number. Each player draws 3 (or 4) cards and reads their numbers aloud. Each player then makes the largest number they can with those cards. The player with the highest number earns a point. The first one to 10 wins. f) What is the Value? (0-9 number cards) Place multiple sets of 0-9 cards face down on the desk. Choose 3 cards, turn them over. How many different numbers can you make with these cards? What is the value of each numeral in each number? i.e. in what is the value of the 3? Of the 5? Of the 6? Maths for Learning Inclusion Tasks to Move Students On July 2008.

84 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Using the Base 10 System Question 5 continued Place value cards Tasks to move students on: g) Three Die Roll (Die) Roll three die. Use the numbers rolled to make as many different numbers as you can. h) Chart Tic Tac Toe (1 100 Chart, dice, counter) The goal is for a player to get 3 of their counters in a row (any direction). Two dice are rolled and the first player then makes a number using these numerals. They place a counter on that number on the Chart and say the number aloud. The second player then has their turn. This continues until one player has three counters in a row. i) Write the Number (MAB blocks) Place out different blocks and say to the student Can you write down the number shown by the blocks please? j) Place Value Thinkboard (Thinkboard template) Have the student choose a number to represent in different ways on The Thinkboard. k) Expanded Notation (Paper to record on) Have students read and record numbers as expanded notation eg. 38 is 3 tens and 8 ones. Have them also write numbers from expanded notation in place value order as well as reversed order eg. 8 ones and 3 tens is 38. l) Snap (Numeral and Representation Cards) Play snap with one set of cards that shows the numeral eg. 25 and another set of cards showing the representations of numbers eg. 2 tens and 5 ones Maths for Learning Inclusion Tasks to Move Students On July 2008.

85 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Using the Base 10 System Question 6 Horizontal Sentences (using Horizontal Sentence cards) Tasks to move students on: a) Horizontal + 10 (Horizontal + 10 addition cards, MAB Blocks/ten strips/unifix cubes) Show the student a card with a + 10 question in it. (i.e ). Use MAB Blocks/ten strips/unifix cubes to solve. Then ask What is ? Demonstrate with MAB blocks i.e = Ask the student to solve other problems using this process. b) Subtraction Sentences (Practice questions, MAB blocks, number line, number chart). Use Practice questions. Ask the student to solve using their knowledge of counting by tens. Support the student with MAB blocks, number line and a Chart to assist with counting backwards. i.e = OR c) Add or Subtract 9 (Number cards, deck of cards) Place a number card (either ending in a 9 or an 8) on the table. Place two cards from a deck of cards next to the other card and Add (or subtract) 9 from it. The first person to say the correct answer earns a point. The first person to 10 wins. i.e. 2 6 subtract 9 = = 7 d) Methods (Addition and subtraction number sentence cards) Ask the student to record the different ways that they can solve the problem. i.e. counting by tens, adding tens then adding units, number line, chart etc e) Memory (Number sentence and answer cards) Play memory with questions and their answers as pairs. i.e and 16 Maths for Learning Inclusion Tasks to Move Students On July 2008.

86 1 100 Chart Number Intervention Kit Resources to support Tasks to Move Students On - July Using the Base 10 System (Orange)

87 Number Intervention Kit Resources to support Tasks to Move Students On - July Using the Base 10 System (Orange)

106 0 99 Chart Number Intervention Kit Resources to support Tasks to Move Students On - July Using the Base 10 System (Orange)

107 Decade Cards Number Intervention Kit Resources to support Tasks to Move Students On - July Using the Base 10 System (Orange)

108 Place Value Thinkboards Number Picture Hundred/tens/ones Expanded Notation Number Intervention Kit Resources to support Tasks to Move Students On - July Using the Base 10 System (Orange)

109 Place Value Numeral and Representation Cards 25 2 tens and 5 ones 19 1 ten and 9 ones 34 3 tens and 4 ones 46 4 tens and 6 ones 51 5 tens and 1 one 66 6 tens and 6 ones 72 7 tens and 2 ones 87 8 tens and 7 ones Number Intervention Kit Resources to support Tasks to Move Students On - July Using the Base 10 System (Orange)

110 94 9 tens and 4 ones 96 9 tens and 6 ones 28 2 tens and 8 ones 16 1 ten and 6 ones 43 4 tens and 3 ones 52 5 tens and 2 ones 11 1 ten and 1 ones 78 7 tens and 8 ones Number Intervention Kit Resources to support Tasks to Move Students On - July Using the Base 10 System (Orange)

111 Horizontal + 10 Addition Cards Number Intervention Kit Resources to support Tasks to Move Students On - July Using the Base 10 System (Orange)

113 Subtraction Sentences Number Intervention Kit Resources to support Tasks to Move Students On - July Using the Base 10 System (Orange)

115 0 20 Cards Number Intervention Kit Resources to support Tasks to Move Students On - July Using the Base 10 System (Orange)

117 Number Sentence and Answer Card Number Intervention Kit Resources to support Tasks to Move Students On - July Using the Base 10 System (Orange)

119 Ten Dot Strips Number Intervention Kit Resources to support Tasks to Move Students On - July Using the Base 10 System (Orange)

120 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Saying, Reading and Writing Numerals Question 1 Counting Forward Tasks to move students on: a) Count On (1 100 chart) Use a chart. Block out random numbers or groups of numbers. Ask students to identify the missing numbers and count on from there. b) Digit Count On (Deck of cards, chart) Ask the student to take 2 (or 3) cards from a deck of cards and make a 2 (or 3) digit number from them. Ask the student to count on from this number. (1-100 chart may need to be used to scaffold learner). Variation: Have one student to clap once to count forward, or clap twice to count backwards. c) Line Up (No resources) Have students stand in a line and count forward from a set number. d) Calculator Count On (Calculator) Investigate counting forwards from large numbers using a calculator. Ask the student to read the numbers aloud as they go. (e.g , etc) e) How Far Can You Count? (Objects to count, number line, number cards and 100 square) On a number line or track ask the student to select a number and stand or put their finger on it. Ask student to tell you which number will come next, which would come before. Ask the student to count on as far as they can go and back. Encourage the student to start from a given number and count on rather than always starting at one. With a variety of objects model moving objects to count them. Ask a student to estimate how many objects they think there are and then count to check their answers. f) Counting Sequences (No resources) Have the class form a line. Have students say in turn the next number in the counting sequence. Begin at different numbers e.g. 9, 31, 43, 89 g) Counting Fish (Magnetic Fishing Set) Put ten fish shapes on the table with paper clips on their noses, let the student catch a fish with a magnet and put it alongside the number 1 on the number track. Q: How many fish have you caught? Q: If you catch another fish, how many fish will you have? Q: What is one more than one? If the student predicts wrongly, catch another fish and count the number of fish the check the answer. Make sure you say one more than one is two. Maths for Learning Inclusion Tasks To Move Students On July 2008

121 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Saying, Reading and Writing Numerals Question 1 continued Counting Forward h) Bean Bags (Number track, beanbags, hoops) Put out a number track and make sure the student can count along it forwards and backwards. Explain that the game is to throw beanbags into a hoop and every time a beanbag lands in the hoop a point is scored. The score is marked with tallies and also a marker is moved along the number track. Q: If I throw one more beanbag into the hoop what will the score be now? What is one more than six? Can you find that number card? Progress on to larger numbers when the child is ready. i) Cross the Boundary (2 sets 0-9 cards, 100 chart) Give the students 2 sets of number cards from 0-9 and a 100 chart ask them to identify particular numbers on the chart. Put the 0 card on the table and ask Q: What number comes after zero when we count up? Q: Find the correct card and put it on top of zero. Keep counting with the cards, Q: What happens when we get to 39? With 2 cards display 40. Q: What is this number? Q: What comes after 40? Cover the zero to make 41. Q: Can you count on using the cards? j) The Penny Has Dropped (Number track or line, number cards, count on cards, a tin and counters) Let the students take a number and place a counter on that number, then take a count on card, the student counts on the amount on the card moving the counter for each move. When the student moves the counter the teacher drops a counter into the tin. Emphasise the match between one move and one counter dropping. Encourage the student to draw a picture showing what they have done during this activity. k) Don t Count Where You Stand! (large foam numbers or A4 sheets with numbers on, count on cards and number cards or dice) Make a number track on the floor with the paper. Q: Can you remember what it is that you might be having trouble with when you count on? Q: What is the special thing about the number you count on? (remind student that they must take a step when they count on one). Ask the student to throw a dice to see which number they start on then choose a count on card and ask them to do what the card says. Q: How much more than forty five is forty eight? Q: How could you check that forty five count on three is forty eight? Carry on with this using other count on cards. l) Land on 10 (Floor number line or track and count on cards) Ask the student to take a face down count on card and tell the student to stand on which ever number will make 30 when they count on. e.g. number 27 if their count on card is 3. Encourage the student to jump along the number line until they reach 30. Q: How do I know which number to tell you to stand on to make sure you always reach 30? Q: If you take a count on 2 card, where will I tell you to stand? Q: How do you know that? Maths for Learning Inclusion Tasks To Move Students On July 2008

122 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Saying, Reading and Writing Numerals Question 2 What number comes after? Tasks to move students on: a) Before and After (1 100 chart, counters) Use a Chart to investigate numbers. The student rolls two dice, makes a number and places a counter on it on the chart. Ask Which numbers come before and after it? b) Guess My Number (No resources) Play Guess my number. One person thinks of a number. The others must ask questions Is it before/after? to determine the number. c) Turn Over (Deck of cards) Turn over two cards from a deck of cards and make a number with them i.e. 1 and 3, 13 or 31. Say the number that comes before and after this number. d) Musical Number Plates (Numbered paper plates) Have numbers written on paper plates and have the plates face down on the floor in a circle. When the music stops, students pick up a plate and say the number before and after it. e) Two Things (Number cards 1 20) Place the set of number cards from 1 20 on a table face up. Choose one card and ask the student to select a card that is one less than that card. If the student is successful move on to taking 2 cards and ask the children to tell you two things about them. If the student is still finding this difficult use the dot cards and ask them to match each dot card with the number that is one more or one less than. f) Number After (Paper, pencil) Choose a 2-3 digit number to record. Ask the student What is one more? Have the student write the next number in the sequence. Add to the sequence daily. Maths for Learning Inclusion Tasks To Move Students On July 2008

123 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Saying, Reading and Writing Numerals Question 3 Identification of Numerals Tasks to move students on: a) Identifying Numbers (Number cards 0 20) Using the number cards 0-20, ask the students to put the cards in order from 0 to 20. Ask the children to say the number names as they put the cards out. This needs to be practised before the child is likely to be able to understand one more and one less. b) Read the Number (No resources) Write a 3 (or 4) digit number. Ask the student to read the number aloud. c) Two Card Turnover (Deck of cards, number chart, counters) Turn over two cards from a deck of cards i.e. 4 and 6. Ask the student to make a two digit number from them and say it aloud. They can then put a counter on a Chart. The aim is to be the first person to have 3 counters in a row (in any direction). d) Digits and Dice (10 sided dice) Roll 3 10 sided dice. Ask the student to make as many 3 digit numbers as possible and read them aloud. Maths for Learning Inclusion Tasks To Move Students On July 2008

124 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Saying, Reading and Writing Numerals Question 4 Recognising Numerals Tasks to move students on: a) Say the Number (Flash cards) Use flash cards (or write numerals on an individual whiteboard). Ask the student to say the number aloud. b) Number War (Deck of cards) Play Number War. A pack of cards is divided evenly amongst the players. Each player turns over two cards (the first being the tens and the second being the ones). All players call their number out, and the person with the largest number keeps all the cards. If there is a tie, both players then turn over a third card and use this to make a three-digit number. The person with the highest number keeps the cards. The winner is the person with the most cards at the end of the game. c) Write and Cross Extension (1 100 chart, ten sided dice) Use two 10 sided dice and ask the student to make a 2 digit number. These numbers can then be recorded on a Chart. The first person to get three numbers in a row crossed off is the winner. Maths for Learning Inclusion Tasks To Move Students On July 2008

125 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Saying, Reading and Writing Numerals Question 5 Putting Numerals in order Tasks to move students on: a) Greater Than / Less Than (Deck of cards, greater than and less than cards) A pile of greater than/less than symbols are placed face down on the table. Each student has two cards (no picture cards) and must make a number with those cards (i.e. 19 or 91). Students establish whether their number is greater or less than their opponent s number. The top card from the </> pile is turned over. The winner is the student whose number matches the card. i.e. 19 and 45, if the card is >, 45 is the winner. b) Biggest Domino (Dominoes, number line) Show the student a domino. Ask them to write a numeral for the dots on each side. Which is the bigger number? Show the numbers on a number line i.e. 2 is less than 4 c) Two Dice Roll (Dice) Roll two dice and make a number with the numerals. Repeat several times, then ask the student to place the numbers from smallest to largest. d) Smallest to Largest (Deck of cards, number line, chart) Choose 3 cards from a deck of cards. Make as many (1, 2, 3 digit) numbers as you can. Place these numbers in order from smallest to largest. (A number line or Chart can be used to scaffold the learning). e) In Betweens (100 chart) This game involves thinking about what happens when the digit is nine. Start with asking the students to say all the numbers that end in 9 eg. 9, 19, 29 etc. Give the student a 100 square for support. Can you show me a number that is bigger than forty nine but smaller than fifty nine? Repeat this activity gradually building up speed. When the child is confident, just point between two numbers and ask the child to call out a number that goes between those two numbers. Maths for Learning Inclusion Tasks To Move Students On July 2008

126 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Saying, Reading and Writing Numerals Question 5 continued Putting Numerals in order f) Run in the Gap (Enlarged number cards ending in 9) You will need enlarged number cards ending in 9 and at least eleven children or a whole class. Ten children hold a large number card each and stand in a horse shoe shape. Someone calls out a number e.g. forty five and one or more students must run between the gap where 45 would come (ie. Between the child holding 39 and the child holding 49). Everyone who runs between the right numbers wins ten points. As an extension, extend the numbers up to two hundred or further. g) Teen Numbers (1-100 chart, number cards) Support the child to read and name the teen numbers and make them with number cards. Ask students to show you on the 100 chart what comes after 9? 19? 29 etc and read the numbers in the second row on the number chart. Q: Can you make me 10, 15, 18 etc with the number cards? Put out all the number cards to 20 and ask the students to pick them up in order from smallest to largest and vice versa and say the names. Maths for Learning Inclusion Tasks To Move Students On July 2008

127 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Saying, Reading and Writing Numerals Question 6 Writing Numbers Tasks to move students on: a) Roll and Write (Dice) Roll the dice 4 times. Students have 1 min to write as many different number combinations from the four numbers as possible. Students then receive a point for every number they read aloud correctly. Extension: Order the numbers b) Turn and Tell (Deck of cards, grid paper) Turn over three playing cards (No picture cards). Ask the student to make a number from these and then write the next 10 (or 20 etc) numbers. Ask the student to then read the numbers aloud. (Use a Chart for support if needed) Discuss patterns that can be seen in the numbers. c) Calculator Task (Calculator) Type these numbers on the calculator e.g. 7, 47, 724. Check that each number has been entered correctly. Make sure calculator is cleared between numbers. d) Read the Number (Calculator) Pick any number from 2 to 9 and type it on the calculator. Read the number. Type in a different number from 2 to 9 (forming a 2 digit number). Read the number. Continue to higher numbers. e) Up to Fifty Five (Number strips up to 55) Show the number strip Q: What comes before twenty seven? What comes after twenty seven? Emphasise the change in the ones digit but not the tens digit. Then move on to Q: What number comes after thirty nine? Ensure the child is aware of the tens and ones digit changing. Repeat with other number strips. Maths for Learning Inclusion Tasks To Move Students On July 2008

128 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Saying, Reading and Writing Numerals Question 7 What numbers come before? Tasks to move students on: a) Before and After (1 100 chart, dice, counters) Use a Chart to investigate numbers. The student rolls two dice, makes a number and places a counter on it on the chart. Ask Which numbers come before it? b) Guess My Number (No resources) Play Guess my number. One person thinks of a number. The others must ask questions Is it before/after.? to determine the number. c) Turn Over (Deck of cards) Turn over two cards from a deck of cards and make a number with them i.e. 1 and 3, 13 or 31. Say the number that comes before and after this number. d) Musical Number Plates (Numbered paper plates) Have numbers written on paper plates and have the plates face down on the floor in a circle. When the music stops, students pick up a plate and say the number before and after it. e) Possibilities (Dice) Roll three (or four) dice. Make all the possible three (or four) digit numbers. Say them aloud. Ask Which number comes before it? f) Number Before (Paper, pencil) Choose a 2 3 digit number to record. Ask the student What is one less? Have the student write the number that comes before it. Have the student add to the before sequence daily. g) What Number Comes Before (Number cards 1 20) Place the set of number cards from 1 20 on a table face up. Choose one card and ask the student to select a card that is one less than that card. h) Ten Counter Race (Number track, coin, counters) Each student lays their counters along a self numbered track eg They take turns to toss a coin, if the coin lands on heads they take one of their counters away and must say the right number sentence for example fifty seven is one less than 58 if the player tosses tails they do nothing. The winner is the first person to get rid of all their coins. Maths for Learning Inclusion Tasks To Move Students On July 2008

129 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Saying, Reading and Writing Numerals Question 8 Counting Backwards Tasks to move students on: a) Go Back (1 100 chart) Use a Chart to support students counting backwards. Say a number and ask them to count backwards from that number. b) Jump Back (Number line) Use a number line to support students counting backwards. Say a number and ask them to count backwards from that number. c) Flash Back (1 100 flashcards) Use flash cards with numbers 1 to 100 on them. Turn one card over and ask the student to count backwards from this number (for 10 or so numbers). Maths for Learning Inclusion Tasks To Move Students On July 2008

130 1 100 Chart Number Intervention Kit Resources to support Tasks to Move Students On - July Saying, Reading & Writing Numerals (Pink)

131 Ten Fish Number Intervention Kit Resources to support Tasks to Move Students On - July Saying, Reading & Writing Numerals (Pink)

132 Number Line Blank Number Intervention Kit Resources to support Tasks to Move Students On - July Saying, Reading & Writing Numerals (Pink)

133 Count On Cards Count on 1 Count on 2 Count on 3 Count on 4 Count on 5 Count on 6 Count on 7 Count on 8 Count on 9 Count on 10 Number Intervention Kit Resources to support Tasks to Move Students On - July Saying, Reading & Writing Numerals (Pink)

134 Flashcard Numbers Number Intervention Kit Resources to support Tasks to Move Students On - July Saying, Reading & Writing Numerals (Pink)

135 Number Intervention Kit Resources to support Tasks to Move Students On - July Saying, Reading & Writing Numerals (Pink)

144 Greater Than / Less Than Cards < < > < < > < < > > > > Number Intervention Kit Resources to support Tasks to Move Students On - July Saying, Reading & Writing Numerals (Pink)

145 Large Cards Ending in 9 Number Intervention Kit Resources to support Tasks to Move Students On - July Saying, Reading & Writing Numerals (Pink)

155 Number Strips Number Intervention Kit Resources to support Tasks to Move Students On - July Saying, Reading & Writing Numerals (Pink)

157 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Beginning Multiplication and Division Question 1 Making Equal Groups Tasks to move students on: a) Equal Groups (Counters, calculator) Ask the student to make groups of. Ask How many altogether? Discuss link between multiplication and addition (i.e. use a calculator, 4, + 4, + 4 and compare with 3 x 4). Encourage student to use summaries to describe their groupings eg. 3 fours, 3 lots of four, 3 groups of four, 3 sets of four and record them as and later as 3 fours then 3 x 4. b) Groups Of (Counters) Ask the student to make 4 groups of 5 counters. Ask them to work out how many counters they used without counting. Draw attention to groups of, counting by 5s, addition ( ). Ask the student to write a description of the groups (4 groups of 5 is 20) and then a number sentence (4 x 5 = 20), when they have understood the groups of concepts. Repeat with different amounts. c) Dice Groups (Dice, counters) Roll two dice. Ask the student to make groups of using these numbers (i.e. 3 and 4 student makes 3 groups of four). Ask How many counters altogether? (Reinforce groups of and skip counting as strategies for working this out) d) Planning (Counters or other materials, calculator) Have student use a predetermined number of counters and ask them to make equal groups e.g. 15 could be 5 threes. If the student counts by ones, ask them to count by threes. If the student skip counts, ask them how many threes they need. Ask student to write a number sentence and use a calculator to check the result. Maths for Learning Inclusion Tasks To Move Students On July 2008.

158 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Beginning Multiplication and Division Question 2 Skip counting Tasks to move students on: a) Number Skip (Number line) Practice skip-counting with a number line. i.e. 3 x 3 = = 9 b) Skip and Mark (1-100 chart, counters) Practice skip-counting with a Chart, placing a counter on each number as it is said. c) Dice and Skip (Dice, number line, chart) Roll two dice. Skip count using the first number, the second number tells how many skips the person must count (Number line, Chart for support). i.e. if a 2 then a 5 is rolled, the student would count 2, 4, 6, 8, 10. The student earns a point for every correct number. The first person to 30 points is the winner. Extension: Ask the student to write a multiplication equation for the skip count i.e. 2, 4, 6, 8, 10 = 2 x 5 d) Skip-counting (Chalk number line) Draw a chalk number line on the floor (mark in numbers starting at zero and mark at regular intervals to number of your choice eg 20). It needs to be big enough for student to use to jump/hop along. Ask them to skip count by twos, threes etc. e) Frog Jump (Toy frog or substitute, number line) A frog jumps on the number line. Each jump is worth 2. Start at zero. What numbers will the frog land on? (A toy plastic frog can be used on a card number line strip). Variations can be to have a different starting number, have a different jump number, record the numbers you land on or ask If you do four jumps, what is your finish number? etc. f) Quick Count (Counters) Tip out a quantity of counters and ask student to count them as quickly as possible. If the student counts by ones, model counting by twos. g) Large Collection Skip Count (No resources) Ask the student to select a number to use when skip counting a large collection. Ask them why they chose the number. h) How Many? (Counters) Say I m interested in how people count by threes. If you count to twelve by threes how many threes would you count? Use counters to make an array. Maths for Learning Inclusion Tasks To Move Students On July 2008.

159 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Beginning Multiplication and Division Question 3 Arrays Tasks to move students on: a) Roll Two (Dice, counters or grid paper and coloured pencils) Roll two dice. Make an array using these numbers. i.e. 3 and 4 - make three rows of four AND four rows of three. Are they similar? How many in each array? b) Array Questions (No resources) Make various arrays and ask the following questions: How many dots are there altogether? How many rows? How many dots in each row?. Turn the array 90 and ask How many dots altogether? c) Two Cards (Deck of cards) Turn over two cards from a deck of cards. i.e. 5 and 3. Make an array using these numbers and record as 5 threes. Turn the array 90 and record as 3 fives. Discuss the connection between the two. d) Recording (Practice arrays) Show the Practice Arrays and ask the student to write multiplication equations for them. e) Styro Arrays (Styrofoam, matchsticks) Student uses coloured pins/matchsticks to make arrays on a Styrofoam block eg make 4 lots of 3, (arranged in rows and columns) turn block around so that representation is now 3 lots of 4. What do you notice? How many altogether in each array? Do with other numbers/arrays. f) Magnetic Arrays (Magnets, magnetic whiteboard) Use a magnetic whiteboard (small) and magnets to make a variety of arrays. Label the arrays made. Whiteboards can be turned to show the two arrays. g) Observation Arrays (Muffin tins, egg cartons) Provide different arrays found around the home/school/environment etc e.g. muffin tins, glue stick holders, egg cartons, patty pan tins, sheets of stickers and so on. Record the multiplication fact represented by the array. Maths for Learning Inclusion Tasks To Move Students On July 2008.

160 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Beginning Multiplication and Division Question 3 continued Arrays h) Kid Pix Arrays (Kid Pix Program) Use Kid Pix to create arrays using the stamp tool. Write matching multiplication fact or story. Print up to make an Arrays book. i) Make It (Counters) I have 12 dots arranged in array. What might my array look like? Use other numbers. j) Word Problems (Printout of word problems, counters, pen, paper) Give students a written problem and have them create an array to represent it. Students can then record e.g. 4 sixes or 4 x 6. - There are four rows of tables in the puppet theatre. Each row seats 6 people. How many people can sit down? - I have a slab of chocolate. There are 5 rows and each row has 6 pieces. How many pieces of chocolate are there? - Fred planted 3 rows of seeds. There are 7 seeds in each row, how many seeds altogether? - If there 9 rows on the bus. Each row seats 4 people, how many people can sit on the bus? - The cup cake tin has 5 rows. Each row has 3 cup cake holders. How many cup cakes can I make? - I planted 30 plants. If each row has to have the same number of plants, what different combinations of rows could I plant them in? k) Rectangular Arrays (Arrays) Show students Rectangular Arrays and ask: How many equal groups do you see? How many in each group? How many altogether? Rotate the card and repeat. Ask: Do you see different groups? Maths for Learning Inclusion Tasks To Move Students On July 2008.

161 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Beginning Multiplication and Division Question 4 Equal Groupings - Visible Tasks to move students on: Multiplication a) Unifix Groups (Unifix cubes or MAB blocks) Use Unifix cubes or MAB blocks to show equal groups.i.e. show 6 as 6 x 1, 1 x 6, 2 x 3, 3 x 2. b) Tins and Pencil Sort (Tins, pencils) Put 4 pencil tins on the table. Ask If each tin has 5 pencils in it, how many pencils altogether? (provide pencils for students to put into the tins). Repeat using different amounts. c) Equal Groups (Counting Materials) Ask student to solve problems using equal groups e.g. How many straws will be needed to make five pentagons, five hexagons. Ask student to write an addition number sentence and a multiplication number sentence. Talk about how each sentence shows the same situation. d) Number Line Skip (Number line) Ask students to skip count along a number line, recording as they go (i.e. to 15 by 5s and 3s) = = 3 x 5 = 5 x 3 e) Dice Show (Dice) Using six dice ask student to show five lots of 2 using the dice, six lots of 1, 3 lots of 4 and so on. f) Counters in Containers (Counters, containers) Using counters. Put 10 counters each in 2 containers. (Put 6 counters each in 3 containers. Put 4 counters each in 6 containers and so on.) For each one ask: o How many groups are there? o How many in each group? o How many altogether? o Write a number sentence to match this. Maths for Learning Inclusion Tasks To Move Students On July 2008.

162 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Beginning Multiplication and Division Question 4 continued Equal Groupings - Visible Multiplication continued g) Word Problems (Variety of counting materials, pen, paper) Emphasise that this activity is to practice making equal groups of objects. Students may use materials or draw objects to represent their mathematical thinking. - One bike has two wheels. How many wheels would 7 bikes have? 2 x 7 = - One car has four wheels. How many wheels would 8 cars have? 4 x 8 = - One spider has 8 legs. How many legs would 5 spiders have? 8 x 5 = - One ant has six legs. How many legs would two ants have? 6 x 2 = Partitioning with Division h) Partition It (Counters) Give the student an amount of counters (i.e. 15), then ask If I divided them into equal groups, how many counters would be in each group? Draw the link to division equations and discuss strategies for sharing equally. i) Straw Shapes (Straws) Provide the student with an amount of straws. Ask If a triangle has three sides, how many triangles can I make?. Make the connection with multiplication (ask student to write a multiplication equation for the problem as an extension) NOTE: At first, ensure that there are no left over straws i.e. for triangles, have 12 or 15 straws ready. Use other shapes e.g. squares, pentagon, hexagon, octagon etc. j) Tomato Pizza (Paper, counters) Draw a pizza that has been cut up into 4 (or 5 or 8 etc) slices. Give the student 12 (or 15, 24 etc) counters and Ask You have 12 pieces of tomato, can you put them on the pizza so that all slices have the same amount of tomato pieces? Repeat with different amounts. Division A (Counters) k) Scatter (Counters) Give the student an amount of counters. Say Here are counters. If I wanted to share them among people so that each person got, how many people could I share them with? Maths for Learning Inclusion Tasks To Move Students On July 2008.

163 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Beginning Multiplication and Division Question 4 continued Equal Groupings - Visible l) Word Problems (Pens, paper) Have the student write some word problems where they start with the total amount and know the size of the portions e.g. There are 30 students in our class. Each table seats 6 children. How many tables will we fill? There are 16 chocolate squares. If I wanted to share them equally amongst people so that each person got 4 squares, how many people could I share them with? Division B (Counters) m) Unifix Towers (Unifix cubes) Give students a tower of 12 unifix cubes. Ask them to break it (divide) into 3 equal towers. How many cubes in each tower? Write a division equation for it e.g = 4. Then divide the tower into 4 groups and write the equation e.g = 3. Discuss the connection between these equations. Repeat with other amounts. n) Drawing Arrays (Grid paper or plain paper) Have the student draw various arrays. Ask the student to circle groups of. Construct a division equation for this together. i.e. 3 x 4 Array = 4. o) Question Relationship (Counters) Ask student If I have 20 lollies to share amongst 4 people, how many lollies each? THEN ask If I had 20 lollies to share amongst 5 people, how many lollies each? and show the connection between the two. p) Word Problems (Variety of counting materials, pen, paper) Emphasise that this activity is to practice making equal groups of objects. Students may use materials or draw objects to represent their mathematical thinking. - If I need 4 straws to make a square, how many squares could I make with 24 straws? - Jim had 15 Smarties. His Mum told him to share them equally between himself and his two brothers. How many Smarties did they each get? - Mary was making party bags for her birthday. She had 21 Freddo Frogs to share equally among the 7 party bags. How many Freddos could she put in each bag? - There are 6 fish bowls and 36 fish. Each fish bowl has an equal number of fish. How many fish in each fish bowl? - There were 24 students in the class. If 4 students sit at each table, how many tables are there? Maths for Learning Inclusion Tasks To Move Students On July 2008.

164 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Beginning Multiplication and Division Question 5 Equal Groupings - Hidden Tasks to move students on: Multiplication a) Make it with MAB (MAB blocks, chart, number line) Use MAB blocks to make equal groups, cover them and say I have groups, each group has. How many altogether? Then show the MAB blocks and count through the groups with the student. Write a multiplication equation for the problem. Discuss the strategies used. If the student is having difficulty, use a chart or number line to help the student skip count to get the answer. b) Pencils and Tins (Pencils, tins) Cover 4 pencil tins on the table. Ask If each tin has 5 pencils in it, how many pencils altogether? Provide pencils for the student to check their answer with. Ask the student to write a multiplication equation for the problem. Repeat using different amounts. Partitioning with Division c) Groups (Counters) Tell the student that you have an amount of counters (i.e. 15), then ask If I divided them into equal groups, how many counters would be in each group? Draw the link to division equations and discuss strategies for counting equally. Provide counters for the student to check their answer. d) Envelopes (Counters, envelopes) Provide the student with 5 (or another amount) of envelopes. Say I have put counters in each envelope, how many counters altogether? Allow students to check that their answer with counters. e) Straws (Straws) Tell the student that you have an amount of straws. Ask If a triangle has three sides, how many triangles can I make?. Make the connection with multiplication (ask student to write a multiplication equation for the problem as an extension). Provide straws for the student to check their answers. NOTE: At first, ensure that there are no left over straws i.e. for triangles, have 12 or 15 straws ready. Maths for Learning Inclusion Tasks To Move Students On July 2008.

165 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Beginning Multiplication and Division Question 5 continued Equal Groupings - Hidden f) Draw a pizza that has been cut up into 4 (or 5 or 8 etc) slices. Say that you have 12 (or 15, 24 etc) counters and Ask You have 12 pieces of tomato, can you put them on the pizza so that all slices have the same amount of tomato pieces? Repeat with different amounts. Provide counters for the student to check their answer. Division A g) Share the Counters (Counters) Give the student an amount of counters. Say Here are counters. If I wanted to share them among people so that each person got, how many people could I share them with? h) Word Problems (Printout) Ask students to solve the word problems. Emphasise the importance of equal shares. Students may need counters to support their learning at first. Make clear the connection with the multiplication or division equation. After the problem has been solved, encourage students to write a number equation/s to represent the problem e.g =3 or 12x3=36 - If you had 36 Freddo frogs and 12 party bags, how many Freddos would you put in each bag so that they are shared equally? - I have 3 plates and 15 chocolates. If I share them equally, how many chocolates on each plate? - I have 30 tennis balls that need to be shared equally amongst 5 of my friends. How many tennis balls will each person get? - I have 24 flower seeds. I need to plant them so that there are 6 seeds in each row. How many rows can I make? - There are 18 slices of toast and 9 people. How many slices can each person have if it is shared equally? - I have 48 crayons that need to be shared equally amongst 4 tins. How many crayons will be in each tin? - There are 30 students in the class and 5 tables. If each table has the same number of students sitting on it, how many students will be at each table? - There are 28 kids who want to play netball. Each team needs seven players. How many teams can be made? - I have a pack of 40 cards. We are playing a game where each person needs 8 cards. How many people can play? Maths for Learning Inclusion Tasks To Move Students On July 2008.

166 Maths for Learning Inclusion (M4LI) Tasks To Move Students On Beginning Multiplication and Division Question 5 continued Equal Groupings - Hidden Multiplication Using an Array i) Altogether Array (Practice arrays, counters) Use the Practice Arrays or make your own using counters. Cover the array, leaving only the top row (or top two rows) visible. Ask How many dots in this row? then if there are more rows. How many dots altogether?. Encourage the student to draw a diagram or use counters to solve the problem. Discuss the multiplication equation used to solve this. Use different arrays, following the same sequence. i.e. (Only top row uncovered) Say How many dots in this row? There are another two rows hidden, how many dots altogether? Division B Using an Array j) Covered Arrays (Practice arrays, counters) Use the practice arrays or make your own using counters. Cover the array, leaving only the top row (or top two rows) visible. Ask How many dots are there in this row? then If there are dots altogether, how many more rows are there?. Encourage the student to draw a diagram or use counters to help them solve the problem. Discuss the strategies used to solve this problem and encourage the student to create a multiplication equation to represent this problem. Maths for Learning Inclusion Tasks To Move Students On July 2008.

167 Number Line Blank Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Beginning Multiplication and Division (Purple)

168 Frog Jump Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Beginning Multiplication and Division (Purple)

169 Practice Arrays Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Beginning Multiplication and Division (Purple)

170 Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Beginning Multiplication and Division (Purple)

176 Arrays Word Problems There are four rows of tables in the puppet theatre. Each row seats 6 people. How many people can sit down? I have a slab of chocolate. There are 5 rows and each row has 6 pieces. How many pieces of chocolate are there? Fred planted 3 rows of seeds. There are 7 seeds in each row, how many seeds altogether? If there 9 rows on the bus. Each row seats 4 people, how many people can sit on the bus? The cup cake tin has 5 rows. Each row has 3 cup cake holders. How many cup cakes can I make? I planted 30 plants. If each row has to have the same number of plants, what different combinations of rows could I plant them in? Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Beginning Multiplication and Division (Purple)

177 Multiplication Word Problems One bike has two wheels. How many wheels would 7 bikes have? One car has four wheels. How many wheels would 8 cars have? One spider has 8 legs. How many legs would 5 spiders have? One ant has six legs. How many legs would two ants have? Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Beginning Multiplication and Division (Purple)

178 Division Word Problems If I need 4 straws to make a square, how many individual squares could I make with 24 straws? Jim had 15 Smarties. His Mum told him to share them equally between himself and his two brothers. How many Smarties did they each get? Mary was making party bags for her birthday. She had 21 Freddo Frogs to share equally among the 7 party bags. How many Freddos could she put in each bag? There are 6 fish bowls and 36 fish. Each fish bowl has an equal number of fish. How many fish in each fish bowl? There were 24 students in the class. If 4 students sit at each table, how many tables are there? Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Beginning Multiplication and Division (Purple)

179 Equal Groupings Division If you had 36 Freddo frogs and 12 party bags, how many Freddos would you put in each bag so that they are shared equally? I have 3 plates and 15 chocolates. If I share them equally, how many chocolates on each plate? I have 30 tennis balls that need to be shared equally amongst 5 of my friends. How many tennis balls will each person get? I have 24 flower seeds. I need to plant them so that there are 6 seeds in each row. How many rows can I make? There are 18 slices of toast and 9 people. How many slices can each person have if it is shared equally? I have 48 crayons that need to be shared equally amongst 4 tins. How many crayons will be in each tin? Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Beginning Multiplication and Division (Purple)

180 There are 30 students in the class and 5 tables. If each table has the same number of students sitting on it, how many students will be at each table? There are 28 kids who want to play netball. Each team needs seven players. How many teams can be made? I have a pack of 40 cards. We are playing a game where each person needs 8 cards. How many people can play? Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Beginning Multiplication and Division (Purple)

181 Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion (M4LI) Tasks To Move Students On Multiplication and Division Question 1 Verbal Multiplication and Division Calculating Tasks Tasks to move students on: a) Calculation Strategies (Practice questions, counters) Use the following questions to practice strategies for multiplication and division. Provide counters etc for students to use. Reinforce the concept of groups of and make the link with multiplication equations and division equations clear (i.e. help the student to write an equation to express the problem). Have students work through the following questions: If there are 3 piles of books and 4 books in each pile, how many books are there altogether? I have 4 coins and each coin is worth $2.00. How much money do I have altogether? Twenty books were put on 4 shelves, with an equal number on each shelf. How many books are on each shelf? There are 18 apricots and each child is given 3 apricots. How many children are there? If we share 12 biscuits among 4 children, how many biscuits would each child get? There are 17 plums and each child is given 5. How many children are there and how many plums are left? If we shared 13 oranges equally among 3 children, how many oranges would each child get and how many would be left over? There are 15 pieces of paper and each child is given 3 pieces of paper. How many children are there? Four children have 5 apples each. How many apples altogether? There are 6 dogs. Each dog has 4 legs, how many legs altogether? There are 3 butterflies. Each butterfly has 6 legs, how many legs altogether? Five students have 4 books each. How many books altogether? Maths for Learning Inclusion Tasks To Move Students On July 2008.

182 Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion (M4LI) Tasks To Move Students On Multiplication and Division Question 1 (continued) Verbal Multiplication and Division Calculating Tasks Three students each have 7 crayons. How many crayons altogether? There are 14 stickers. Each child is given 2 stickers, how many children are there? There are 18 basketballs. Each student is given 3, how many students are there? I have 28 pencils. If I put 8 in each pencil case, how many pencil cases are there? There are 25 fingers (including thumbs!) how many hands? There are 35 pens. Each student has 7 pens. How many students? There are 20 slices of orange. If there are 5 people, how many pieces of orange will they each get? I have 18 marbles. I want to share them equally amongst my 3 friends. How many marbles will each friend get? There are 36 fish. If I share them equally among 6 fishbowls, how many fish in each fishbowl? There are 24 biscuits. If there are 8 people, how many biscuits will each person get? I have 12 cherries. If I share them equally between my sister and myself, how many cherries will we each get? There are 20 pears. If each person gets 3 pears, how many people are there and how many pears will be left over? There are 26 pencils. If each person gets 6 pencils, how many people are there and how many left over? There are 11 cat biscuits. If each cat gets 3 biscuits, how many cats are there and how many biscuits will be left over? There are 21 blocks. If each person gets 5 blocks, how many people are there and how many blocks will be left over? Maths for Learning Inclusion Tasks To Move Students On July 2008.

183 Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion (M4LI) Tasks To Move Students On Multiplication and Division Question 1 (continued) Verbal Multiplication and Division Calculating Tasks There are 44 buttons. If each person gets 8 buttons, how many people are there and how many buttons are left over? If we shared 9 bananas equally between 2 people, how many bananas would they each get and how many would be left over? There are 30 flowers. If I shared them equally among 7 people, how many would each person get and how many flowers would be left over? If we shared 15 balloons equally among 4 people, how many would each person get and how many would be left over? There are 28 shells. If we shared them equally among 5 students, how many would each student get and how many shells would be left over? Maths for Learning Inclusion Tasks To Move Students On July 2008.

184 Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion (M4LI) Tasks To Move Students On Multiplication and Division Question 2 Multiplication Tasks to move students on: a) Create an Array (Counters) Have students create an array for multiplication equations (i.e. 3 x 4 = 12). Then count or circle groups of to emphasise multiplication. Discuss strategies for finding out the answer i.e. counting by 4s, using known multiplication facts. b) Number Line Skip (Number line) Use a number line to skip count to answer multiplication tables (i.e. 5 x 7 is the same as ) c) Multiplication Bingo (Grid paper) Play multiplication bingo. Each player rules up a 3 x 3 grid and writes 9 products (answers to times tables) in it. Two dice are rolled and the numbers multiplied (4 and 6-4 x 6 = 24), players may then cross off 24, if it is on their grid. The first person to have all their numbers crossed off is the winner. Note: Discuss with students how they are solving the equations and provide counters, pencil and paper etc to help them solve them). d) Memory/Snap (Multiplication cards) Play Memory or Snap with multiplication cards, where the equation and its product are the pair. i.e. 7 x 8 and 56 are a pair e) Multiplication Snap (Deck of cards) Two cards from a deck of cards are turned over and the first person who can correctly say the equation and the answer keeps the cards. This continues until all cards are gone, with the winner being the person with the most cards. Note: This game can be simplified by placing cards 1-5 in one pile, and cards 6-10 (picture cards) in the other which will make the highest equation 5 x 10 = 50. f) Dice Products (10 sided dice) Roll two 10 sided dice. Ask students to write the multiplication equation of these two numbers and call out the answer. If it is correct, the player earns a point. The first player to 10 points is the winner. g) Card Products (Deck of cards) Students play in pairs. Divide deck into halves. Player 1 turns over 2 cards e.g. 6 fives 30. Player 2 turns over 2 cards e.g. 5 eights 40. The player with highest number puts the cards at the bottom of their pile. The player with the most cards wins. Maths for Learning Inclusion Tasks To Move Students On July 2008.

185 Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion (M4LI) Tasks To Move Students On Multiplication and Division Question 3 Commutative Law Tasks to move students on: a) Rotate the Array (Practice arrays, counters) Demonstrate Commutative Law using arrays. Either use the Practice Arrays (from Test 5) or make arrays using everyday objects (i.e. counters, MAB blocks etc). Show the student the array and assist in writing an equation for it i.e. 3 x 5 = 15 Then 5 x 3 = 15 Then, rotate the array, and ask the student to write an equation for it. Highlight the connection between the two equations. Repeat this using a range of arrays. b) Grid Arrays (Regions) (Grid paper) Use grid paper to show multiplication equations. Ask the student to draw 2 x 4 using grid paper. Ask How many altogether? Then, ask the student to draw a 4 x 2 grid. Ask How many altogether? Discuss the connection between the two equations. c) Memory (Arrays) Play memory with arrays. Students need to find matching arrays to make a pair. i.e. a 3 x 4 array and 4 x 3 array would be a pair. To keep the pair, the student needs to say how many dots in the array altogether (i.e. for 3 x 4, 12) d) Array Problems (Counters) Have students explore arrays to discover that e.g. 4 x 3 = 3 x 4. e.g. Kelly said we planted corn in rows of 3. Tracy said they were in rows of 4. Could they both be right? Have students use materials or diagrams to solve the problem. Maths for Learning Inclusion Tasks To Move Students On July 2008.

186 Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion (M4LI) Tasks To Move Students On Multiplication and Division Question 4 Inverse Relationships Tasks to move students on: a) Multiply and Divide (Counting Materials) Provide students with everyday objects (i.e. counters etc). Ask them to make a multiplication equation using the objects and record it on paper. i.e. 3 x 7 = 21 Then. Ask If I had 21 counters and I divided them into 3 equal groups, how many counters would be in each group? Support the student to write a division equation for this. Highlight the connection between the two equations. Repeat using different amounts. b) Arrays (Counting materials) Undertake the same process. Ask the student to first identify the multiplication equation and then ask them to think about the division equation. Highlight the connection between the two (turn the array 90 ). c) Card Array (Deck of cards, counters) Turn over two cards from a deck of cards. Create and array using these numbers. e.g x 4 then write two division equations for this array ( 12 4 = 3 and 12 3 = 4 ) Maths for Learning Inclusion Tasks To Move Students On July 2008.

187 Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion Intervention Kit Maths for Learning Inclusion (M4LI) Tasks To Move Students On Multiplication and Division Question 5 Area Multiplication Tasks to move students on: a) Area Multiplication (Practice Multiplication Task) Use the practice Area multiplication task. Make links between rows and columns and the multiplication table. b) Area Grids (Grid Paper) Use grid paper to discuss area multiplication. Demonstrate that if there are 5 rows and each row has 4 squares in it, 5 x 4 = 20 can be written to describe it. Practice with grids of varying sizes. c) Multiplication Toss (Ten sided dice, grid paper) Players take turns to toss 2 ten sided dice. They colour in a region on their grid paper and record e.g. 5 threes or 5 x 3. The player to colour in the grid paper first wins. Maths for Learning Inclusion Tasks To Move Students On July 2008.

188 Verbal Multiplication and Division Calculating Tools If there are 3 piles of books and 4 books in each pile, how many books are there altogether? I have 4 coins and each coin is worth $2.00. How much money do I have altogether? Twenty books were put on 4 shelves, with an equal number on each shelf. How many books are on each shelf? There are 18 apricots and each child is given 3 apricots. How many children are there? If we share 12 biscuits among 4 children, how many biscuits would each child get? There are 17 plums and each child is given 5. How many children are there and how many plums are left? If we shared 13 oranges equally among 3 children, how many oranges would each child get and how many would be left over? There are 15 pieces of paper and each child is given 3 pieces of paper. How many children are there? Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Multiplication and Division (Blue)

189 Four children have 5 apples each. How many apples altogether? There are 6 dogs. Each dog has 4 legs, how many legs altogether? There are 3 butterflies. Each butterfly has 6 legs, how many legs altogether? Five students have 4 books each. How many books altogether? Three students each have 7 crayons. How many crayons altogether? There are 14 stickers. Each child is given 2 stickers, how many children are there? There are 18 basketballs. Each student is given 3, how many students are there? I have 28 pencils. If I put 8 in each pencil case, how many pencil cases are there? Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Multiplication and Division (Blue)

190 There are 25 fingers (including thumbs!) how many hands? There are 35 pens. Each student has 7 pens. How many students? There are 20 slices of orange. If there are 5 people, how many pieces of orange will they each get? I have 18 marbles. I want to share them equally amongst my 3 friends. How many marbles will each friend get? There are 36 fish. If I share them equally among 6 fishbowls, how many fish in each fishbowl? There are 24 biscuits. If there are 8 people, how many biscuits will each person get? I have 12 cherries. If I share them equally between my sister and myself, how many cherries will we each get? There are 20 pears. If each person gets 3 pears, how many people are there and how many pears will be left over? Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Multiplication and Division (Blue)

191 There are 26 pencils. If each person gets 6 pencils, how many people are there and how many left over? There are 11 cat biscuits. If each cat gets 3 biscuits, how many cats are there and how many biscuits will be left over? There are 21 blocks. If each person gets 5 blocks, how many people are there and how many blocks will be left over? There are 44 buttons. If each person gets 8 buttons, how many people are there and how many left over? If we shared 9 bananas equally between 2 people, how many bananas would they each get and how many would be left over? There are 30 flowers. If I shared them equally among 7 people, how many would each person get and how many flowers would be left over? If we shared 15 balloons equally among 4 people, how many would each person get and how many would be left over? There are 28 shells. If we shared them equally among 5 students, how many would each student get and how many shells would be left over? Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Multiplication and Division (Blue)

192 Number Line Blank Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Multiplication and Division (Blue)

193 Multiplication Question and Answer Cards x8 5x3 8x6 9x4 6x2 4x6 6x5 9x7 9x3 Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Multiplication and Division (Blue)

194 x2 5x4 6x3 7x4 8x5 9x6 2x7 3x7 3x8 Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Multiplication and Division (Blue)

195 x6 3x9 4x3 5x5 6x7 7x5 8x4 9x3 8x2 Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Multiplication and Division (Blue)

196 Area Multiplication Number Intervention Kit Resources to support Tasks to Move Students On July 2008 Multiplication and Division (Blue)