Multiplication and Division


 Alyson Matthews
 2 years ago
 Views:
Transcription
1 E Student Book 6 7 = 4 Name
2 Series E Contents Topic Multiplication facts (pp. 7) 5 and 0 times tables and 4 times tables 8 times table and 6 times tables Date completed Topic Using known facts (pp. 8 ) 9 times table 7 times table square numbers factors and multiples Topic Mental multiplication strategies (pp. ) multiplying by 0 and 00 doubling strategy split strategy compensation choose a strategy doubling and halving Topic 4 Division (pp. 8) division is sharing and grouping division is repeated subtraction linking multiplication and division facts remainders Copyright
3 Series E Contents Topic 5 Mental division strategies (pp. 9 ) dividing by 0 and 00 halving strategy split strategy strategy review Date completed Topic 6 Written methods (pp. 4 9) contracted multiplication extended multiplication short division short division with remainders short division with digit numbers Topic 7 Games and investigations (pp ) triple product apply factor bingo apply doubling strategy to 0 apply symbols solve Series Author: Nicola Herringer Copyright
4 Multiplication facts 5 and 0 times tables The 5 and 0 times tables are easier if you learn them together. Answer the 5 times table: Count in 5s down the ladders: 5 = a 5 b 75 c 40 5 = 5 = 4 5 = 5 5 = 6 5 = 7 5 = Fill in the missing number for each times _ table fact: 8 5 = 9 5 = 0 5 = a 5 = 5 c 5 = 0 e 5 = 5 b 5 = 45 d 5 = 50 f 5 = 40 Turnaround facts _ are the times tables_ turned around! 5 = 5 5 = 5 4 Complete the 5 times table turnarounds. a 5 8 = c 5 0 = b 5 = d 5 4 = E
5 Multiplication facts 5 and 0 times tables 5 Answer the 0 _ times table: 0 = 0 = 6 Write the missing numbers for these _ 5 times table facts: a 5 = 5 7 Write the missing numbers for these _ 0 times table facts: a 0 = 0 0 = b 5 5 = b 0 5 = 4 0 = c 5 = 0 c 0 = = 6 0 = d 5 45 d 0 9 = 7 0 = e 5 = 5 e 0 = = 9 0 = f 5 0 f 0 = = g 5 0 g 0 0 = 8 Follow the arrows by counting up in 0s: 0 9 Multiply each number in the top row by 5 and then by 0: What do you notice? E
6 Multiplication facts and 4 times tables The and 4 times tables are good facts to learn together. Complete the skip counting pattern of : 4 Answer the times table. One is in order, the other is mixed up. = 7 = = 0 = = 6 = 4 = 8 = 5 = = 6 = 9 = It is useful to be able to multiply numbers above 0 by. Try these: = = = 4 = 5 = 6 = 7 = 4 = 7 = 8 = = 8 = 9 = = 9 = 0 = 5 = 0 = 4 Complete these doubling wheels as quickly as you can. _ Multiplying by _ is the same as doubling. a b E
7 Multiplication facts and 4 times tables Now for the 4 times table. The 4 times table is just double the times table. This is handy to remember if you forget a 4 times table fact. 5 The times 6 = 4 = table should be easier, so complete it first. Then double each of the times table facts to get the 4 times table facts: = = 4 = 5 = 4 = 4 = 4 4 = 5 4 = 6 = 6 4 = Write the missing numbers for these _ 4 times table facts: a 4 = 8 b 4 = 6 c 4 = 40 d 4 = 4 7 = 8 = 9 = 0 = 7 4 = 8 4 = 9 4 = 0 4 = e 4 = f 4 = 6 g 4 = 0 h 4 = 8 7 Use the hint to get the answer. Then fill in the missing digit to make the 4 times table fact complete: a Hint: 6 4 = b Hint: 4 = c Hint: 8 4 = 8 Look at the numbers in the grid and circle numbers that would make a multiplication fact. Look for and 4 facts. They are either left to right or top to bottom. The first one has been done for you. There are 0 to find E
8 Multiplication facts 8 times table Here is the 8 times table. You can double the 4 times table to get the 8 times table. Complete the _ 4 times table as quickly as you can. Then after you have checked them, double them to complete the _ 8 times table facts: 4 = 4 = 4 = 4 4 = 8 = 8 = 8 = 4 8 = 5 4 = 5 8 = 6 4 = 6 8 = 7 4 = 7 8 = 8 4 = 8 8 = 9 4 = 9 8 = 0 4 = 0 8 = Use double, double and double again for these problems: a 6 8 = b 4 8 = c 9 8 = If you get stuck on the 8s, think double, double and double again. For example, 8_ Think: double is 6_ double 6 is _ double is 4 On Mia s calculator, the 8 key is broken. Show her the steps she could follow to find the answer to 6 8. Use a calculator to test the steps. E 5
9 Multiplication facts and 6 times tables Here are the times and 6 times tables together. Can you think of why it s better to learn these facts together? Use the picture of the dice above to complete both the _ times _ table and the 6 times table: = = = 4 = 6 = 6 = 6 = 4 6 = Now try these mixed up: a 6 = b 4 = c 8 = 5 = 5 6 = d 9 6 = 6 = 6 6 = e 4 6 = 7 = 7 6 = f 5 = 8 = 8 6 = g 8 6 = 9 = 9 6 = h 9 = 0 = 0 6 = i 5 6 = Fill in the missing digits to make these times table facts complete: a = b = 6 c = 8 d 6 6 e 4 f 6 = 60 g 9 = 7 h 6 4 i 9 54 j 5 0 k 6 = 48 l 7 6 E
10 Multiplication facts and 6 times tables 4 Match the answers to the questions. Each answer has two matching questions Complete the cross number puzzle: Across Down What number am I? I am in the times table, 4 times table and 6 times table. _ I m not. I am E 7
11 Using known facts 9 times table If you get stuck on a 9 times table fact, you can use the 0 times table facts and then build down. 9 =? 0 = 0 So, 9 = 7 Think of the 0 facts and build down to get the 9 facts. The first one is done for you. 0 table Build down by 9 table 0 = 0 9 = 9 0 = 0 0 = = = = = = = = 00 Complete the 9: E
12 Using known facts 7 times table If you get stuck on a 7 times table fact, remember the 8 times table fact and build down. Think of the 8 table fact and build down to get the 7 table fact. 8 table Build down by 7 table 8 = 8 7 = 8 = 6 7 = 8 = 4 7 = 4 8 = 4 7 = 5 8 = = 6 8 = = 7 8 = = 8 8 = = 9 8 = = 0 8 = = Add the missing numbers to each fact: a 7 = 8 b 7 = 5 c 7 = d 7 = 4 e 7 = 49 f 7 = 4 Use the 8 to complete the 7: E 9
13 Using known facts square numbers A square number is a number multiplied by itself. = = 4 = 9 = = 4 = 9 Show these square numbers on the grid and write what they are equal to: a 4 = b 6 = c 5 = d = e 7 = Shade the square numbers on this multiplication grid: E
14 Using known facts factors and multiples When numbers are multipled together, the answer is called a multiple. The first multiples of are, 4, 6. = = 4 = 6 5, 0, 5, 0, 5, 0, 5, 40, 45, 50 are the first 0 multiples of 5. List the first ten multiples of each number: a 6 6 b c 0 d e 4 Write these numbers in the correct spots on the Venn diagram: Multiples of Multiples of The space in the_ diagram where the_ circles overlap is where_ you put numbers that are_ both multiples of and. Can you think of any other numbers up to 60 that could go into the overlapping space in the Venn diagram above? E
15 Using known facts factors and multiples Factors are numbers that you multiply together to give a multiple. 6 = 8 9 = 8 These arrays show some of the factors of 8:, 6, and 9. Can you think of any other factors of 8? Complete the number sentence for each set of arrays and then list the factors. a b c d The factors of are: Complete each diagram to show the factors of the number in the middle circle: a 4 c 0 b 6 E
16 Mental multiplication strategies multiplying by 0 and 00 When we multiply any number by 0, a zero goes in the units column and the digits all move one space along to the left. When we multiply any number by 00, a zero goes in both the units and the tens columns and all the digits move two spaces along to the left. Thousands Hundreds Tens Units Use the place value tables to multiply these numbers by 0 and 00: a Th H T U b Th H T U c Th H T U 7 Can you see a pattern in each of the tables? 0 00 Use patterns to solve these: a 4 = 4 0 = 4 00 = b 5 = 5 0 = 5 00 = c 8 = 8 0 = 8 00 = E
17 Mental multiplication strategies multiplying by 0 and 00 How do you multiply by other multiples of 0? Let s look at 8 0. We can use known times tables facts and write this as place value amounts: 8 tens = 6 tens So, 8 0 = 60 Draw lines from the numbers written as place value amounts to the times tables facts: 0 tens 4 tens 6 tens 7 tens tens 6 tens 4 tens 4 4 tens 5 tens 7 tens 6 6 tens 9 tens Write the digit that represents each place value amount: a 0 tens = d 5 tens = g 9 tens = b 6 tens = e tens = h 6 tens = c tens = f 8 tens = i 8 tens = First complete the hints and then use them to write the facts: Hints: Facts: a 4 6 tens = tens 4 60 = b 9 tens = tens 9 0 = c 7 tens = tens 70 = 4 Complete the number wheels: a b E
18 Mental multiplication strategies doubling strategy There are many double facts that you should know. This includes numbers outside the times tables we have been working on. Here are double facts that are handy to know: double 5 is 0 double 50 is 00 Can you think of more? Complete these function machines: a IN OUT 5 0 b double IN OUT 5 60 Can you see what_ doubledouble is the_ same as? Yes, that s right,_ it s the same as Complete these doubling wheels: 7 8 a 9 b E 5
19 Mental multiplication strategies doubling strategy We also use doubling when we multiply by 4 and by 8. To multiply a number by 4, double it twice. To multiply a number by 8, double it times. 0 4 = 40 0 once 0 0 twice 40 8 = 88 once twice 44 three times 88 Keep doubling to get the 4 and 8 facts. Here are some tables to help you. The first one has been done for you. a 4 = 48 b 5 4 = once 4 twice 48 5 once 5 twice c 8 4 = 8 once 8 twice d 4 = once twice e 6 8 = 6 once 6 twice 6 three times f 5 8 = 5 once 5 twice 5 three times g 8 = In this last table_ choose a digit_ number to multiply_ by 8 and double it _ three times. once twice three times 6 E
20 Mental multiplication strategies split strategy The split strategy is when we multiply numbers in pairs and then add the parts. Let s use the split strategy for 6 4. Split 6 into 0 and 6. Multiply each part. Add the answers together = 04 So, 6 4 = 04 Use the split strategy to answer these: a = So, 4 = b = So, 45 5 = c = So, 5 4 = E 7
21 Mental multiplication strategies compensation Use the compensation strategy to make it easier to multiply digit numbers that are close to a ten. Look at is close to 0, so we can multiply by the next multiple of ten which is 0. Then we build down because we have an extra group of = 80 4 So, 9 4 = 76 Use the compensation strategy to answer these: a So, 5 9 = b 49 So, 49 = c So, 4 9 = Use the compensation strategy to answer these questions. _ This time you need to look for more than one extra group _ to subtract: a We have rounded up_ to 0. So instead of_ 4 8 we have 4 0._ This is more groups_ of 4. So we subtract 8. So, 4 8 = b 7 So, 7 = 8 E
22 Mental multiplication strategies choose a strategy Roll a die to get the missing number, then use either the split or compensation strategy to get the answer. You can place the numbers rolled on the die in any question. a 5 So, 5 b 6 So, 6 c 49 So, 49 d 58 So, 58 E 9
23 Mental multiplication strategies doubling and halving We can change the factors of a multiplication question to make it easier. Look at 6. If we halve the largest factor and double the smaller factor, we make an array on the grid that is the same size. Both arrays have the same amount of squares. Count the squares, are they equal to 8 6? 6 Halve 8 6 = 48 Make these problems easier by using doubling and halving. Shade an array for each: a 8 Halve b 4 4 Halve 0 E
24 Mental multiplication strategies doubling and halving Use the doubling and halving strategy to solve these: a 4 b 48 5 Halve Halve c 6 5 d 64 5 Halve Halve Follow this doubling and halving trail through to the bottom: a Halve b Halve c Halve 8 56 =? 8 5 =? 8 45 =? So, 8 56 = So, 8 5 = So, 8 45 = d What do you notice? E
25 Division division is sharing and grouping Division can mean sharing or grouping. There are lollies shared between 4 kids. How many are in each share? 4 = There are 6 apples and 4 go into each basket. How many baskets do I need? 6 4 = 4 Solve these sharing and grouping questions: a There are 9 cupcakes and kids are sharing. How many are in each share? = b lollies are shared between a group of kids so they each get. How many kids are sharing? = c There are 4 pencils and 6 pencil pots. How many pencils go into each pencil pot? = E 4
26 Division division is sharing and grouping Draw pictures to show these division questions. Then write the division fact and decide whether it is a sharing or a grouping question. If you need to find out_ how many items there_ are in each share, it s_ a sharing question. If_ you need to find out the number of equal shares,_ it s a grouping question. a Divide 6 lollies between 4 girls. How many does each girl get? = sharing / grouping b From a packet of 4 pencils, each person will get 6. How many people are sharing the pencils? = sharing / grouping c 48 eggs are laid by 6 hens. If they all laid the same amount, how many did each hen lay? = sharing / grouping E 4
27 Division division is repeated subtraction Division can also be thought of as repeated subtraction. Look at 0 5 =? This question is asking how many groups of 5 there are in 0. Jump in 5s along the number line and then count the jumps So, 0 5 = 6 Show these division facts as repeated subtraction. First label the number lines and then show the jumps. a 6 6 = 0 6 b = 0 Write a division fact to match these number lines. Show the jumps. a = b = E 4
28 Division linking multiplication and division facts Knowing multiplication facts will help with division facts. This is because they are opposites. Look at how we can describe this array: 6 4 = 4 6 groups of 4 is = 4 4 groups of 6 is = 6 4 divided into 4 shares is = 4 4 divided into 6 shares is 4. Describe each of these arrays using two multiplication and two division facts: a = = b = = c = = d = = Draw an array of 6 rows of then describe it with multiplication and division facts. This is also called_ a fact family. = = E 4 5
29 Division linking multiplication and division facts Write a fact family for each set of numbers in the triangle. The first one has been done for you. a 5 7 = = = = 5 b 7 = 9 = c 48 = 6 8 = d 40 = 8 5 = 4 For these problems, think of a multiplication fact to help write the division fact: a 5 is shared between 5 people. How much does each person get? = b 45 people get into 9 cars. How many people are in each car? = 6 E 4
30 Division remainders Sometimes division is not exact. From, we can make fair shares of 6 with left over. We call the left over the remainder. 6 = remainder In each array, ring the fair shares to see the remainder: a 5 = remainder b 9 6 = remainder c 7 = remainder d 9 = remainder E 4 7
31 Division remainders Now use your multiplication facts. 5 6 =? Think 4 6 = 4 + is 5 So, 5 6 = 4 remainder Use your multiplication facts to write the division facts and the remainder: a 0 =? Think + is So, = remainder b 0 4 =? Think + is So, = remainder c 7 9 =? Think + is So, = remainder Complete each word problem: a 9 pencils were shared between 6 kids. How many did each kid get? = remainder b 4 fish were divided between 6 tanks. How many fish are in each tank? = remainder c From 7 flowers, 5 flowers were arranged in each vase. How many vases were used? = remainder 4 Write in the missing digit to make this statement true: 6 = 8 remainder 8 E 4
32 Mental division strategies dividing by 0 and 00 When we divide any number by 0, we move the number one place value space to the right. When we divide any number by 00, we move the number two place value spaces to the right. Thousands Hundreds Tens Units Use the place value tables to divide these numbers by 0 and 00. a Th H T U b Th H T U c Th H T U d Th H T U Use patterns to solve these: a 400 = = = b = = = b 500 = = = Use a calculator to solve these: a = b 49 0 = E 5 9
33 Mental division strategies halving strategy When you halve numbers you are dividing them by. In this function machine, numbers go IN, have the rule applied and come OUT again. IN 8 4 RULE: Halve OUT 4 6 Complete the halving function machines. Halve the number going IN the machine and write the answer in the OUT column: a IN OUT b IN OUT 80 RULE: 70 RULE: 40 Halve 4 Halve 0 6 c IN OUT d IN OUT 4 RULE: 8 RULE: 90 Halve 50 Halve Below is a halvinghalving function machine. The number goes IN and is halved and then halved again and comes OUT. IN OUT RULE: Halve RULE: Halve 0 E 5
34 Mental division strategies halving strategy We also use halvinghalving to divide by 4. Look at these diagrams: Halve 6 once Halve 6 twice Use the tables for halvinghalving to divide by 4: a 80 4 = Halve 80 once Halve 80 twice b 48 4 = Halve 48 once Halve 48 twice c 64 4 = Halve 64 once Halve 64 twice d 0 4 = Halve 0 once Halve 0 twice e 44 4 = Halve 44 once Halve 44 twice f 88 4 = Halve 88 once Halve 88 twice 4 Complete the division wheels: a b E 5
35 Mental division strategies split strategy Division problems can be much easier to solve if you split the number. Look at 5 5. Can we split the number into two multiples of 5? Yes, we can split 5 into 00 and We divide each part by 5 and then add the two answers together = 5 Use the split strategy to divide these by 5: a 5 5 b = = Use the split strategy to divide these by 4: a 64 4 b = = Use the split strategy to divide these by : a 0 b 6 + = + = E 5
36 Mental division strategies strategy review Review your division strategies. Use either the halving strategy or the split strategy to complete the tables. The first one has been done for you. a Use the split strategy: b Use the halving strategy: 48 = = 48 is = 0 and 8 = = 6 c Use the split strategy: d Use the halving strategy: = 40 4 = Solve this riddle by matching the letter to the answer. Use a mental division strategy for each problem. What is it that the more you take, the more you leave behind? 68 4 = s 90 6 = p 5 5 = e 00 0 = f 40 4 = o 8 4 = t E 5
37 Written methods contracted multiplication H T U Start with the units. 4 = units. Rename this as ten and units. Put the in the units column and regroup the to the tens column. 5 plus the regrouped is 6 tens. Rename this as hundred and 6 tens. Practise these problems: a H T U b H T U c H T U d H T U e H T U f H T U Use contracted multiplication to solve these word problems: a On a farm, 6 lambs were born every day over 5 days. How many lambs were born in total? H T U b For my school fete day, I baked 9 trays of cupcakes. If there are 4 cupcakes on each tray, how many did I bake in total? H T U 4 E 6
38 Written methods extended multiplication H T U 4 ( 4) 9 0 ( 0) 0 In extended multiplication, we multiply the units and tens separately, then add the answers together. Practise these problems: a H T U b H T U (4 ) (5 6) (4 0) (5 0) c H T U d H T U ( ) ( ) ( ) ( ) Use extended multiplication to solve this word problem: H T U In a pet store, there are 7 tanks of tropical fish with 4 fish per tank. How many fish are there altogether? ( ) ( ) E 6 5
39 Written methods short division Another way to represent division is with the division symbol. T U This is the same as 6 6 = 6 If the answer is a single digit, it should go in the units column. Solve these division problems using the division symbol: a b c d e f g h i Use the division symbol to solve each problem: a 4 cupcakes were iced by 7 kids. If they each iced the same amount, how many did they ice each? b How many pots were used if 6 seeds were planted in each pot from a packet of 54? c I run the same distance each day. Over 9 days the total distance is 7 km. How far did I run each day? 6 E 6
40 Written methods short division with remainders This is the way we write remainders when using the division symbol. 6 5 r This is the same as 5 6 = remainder. Check your work with the closest multiplication fact: 6 = Then add on the remainder: + = 5 Solve these division problems and then check them. a r Check with the multiplication fact and add the remainder: b r Check with the multiplication fact and add the remainder: c r Check with the multiplication fact and add the remainder: d r Check with the multiplication fact and add the remainder: What is the question if I am checking with this multiplication fact? r 5 6 = 0 + E 6 7
41 Written methods short division with digit numbers In short division with digit numbers we split the number: 468 is divided by is 00, so we put a in the hundreds place. 60 divided by is 0, so we put a in the tens place. 8 is divided by is 4, so we put a 4 in the units place. H T U Practise splitting these: a 68 is + + c 567 is + + b 445 is + + d 5 is + + Now put these split numbers back together: a is c is b is d is Solve these division problems with digit numbers: a b 6 9 c 8 4 d Here are two division problems with missing numbers in the questions. Find out the missing numbers by using the numbers that are part of the answer as clues. a 4 4 b 6 8 E 6
42 Written methods short division with digit numbers Sometimes we need to split the number a different way, for example: 55 = divided by 5 is 00, so we put a in the hundreds place. 5 divided by 5 is, so we put a in the units place. What goes in the tens place? A zero does. The zero has the very important job of keeping the other numbers in their place! H T U Practise these problems. We have put the zero in to remind you: 0 0 a 4 8 b c 9 d Practise these problems. This time, you need to remember the zero! a 9 8 b 6 6 c 4 8 d E 6 9
43 Triple product apply Getting ready This is a game for players. You will need a copy of this page, 6 counters each and dice. copy What to do Player rolls all dice and chooses of the numbers to multiply. If the player can see the answer in the grid, they claim this number by placing a counter over the number. Then Player has a turn. The winner is the first to place all 6 counters on the grid E 7
44 Factor bingo apply Getting ready This is a game for three players. Each player needs a copy of this page. The caller needs a pile of the numbers from to 9. copy What to do Each multiplication grid contains all the answers, while the factors are missing. Remember factors are the numbers that you multiply to get the answer. The aim of the game is to be the first player to fill their grid with the factors. One hint is provided in each grid to start you off. Choose one person to be the caller and the other two play the round. The caller picks a number without looking and reads it out to the players. The players write it on the grids, if it fits as a factor. The first to fill in one of the grids completely is the winner E 7 4
45 Doubling strategy to 0 apply Getting ready This is a game for two players. You will need a copy of page 4, a die and a pencil to write down your scores. You may like to make extra copies of page 4 to play again later. copy What to do The aim of this game is to score the highest number of points each time without going over 0. Roll the dice and choose which strategy you will use. From the Strategy column, circle for double, for doubledouble or for doubledoubledouble. For example, Player has rolled a 5 and has chosen strategy doubledoubledouble. This makes a score of 40 but because it is over 0 it doesn t count. Look at the rest of the sample game to see how the game turned out. Strategy Strategy Strategy Sample game Player Die Strategy Score Total 56 Player Die Strategy Score Total 5 4 E 7
46 Doubling strategy to 0 apply Strategy Strategy Strategy Player Die Strategy Score Total Player Die Strategy Score Total E 7 4
47 Symbols solve What to do Can you work out the value of each symbol? The values are,, 4, 6, 8, 9 and. Remember, the same symbol means that it s the same number. = = = = = = = 44 E 7
GRADE 4 FLORIDA. Multiplication WORKSHEETS
GRADE 4 FLORIDA Multiplication WORKSHEETS Multiplication facts 5 and 0 times tables The 5 and 0 times tables are easier if you learn them together. Answer the 5 times table: Count in 5s down the ladders:
More informationGRADE 3 FLORIDA. Multiplication WORKSHEETS
GRADE 3 FLORIDA Multiplication WORKSHEETS Multiplication explore You will need: 4 counters What to do: Chef Charlie has cupcakes on some trays in the oven. There are the same number of cupcakes on each
More informationHooray for the Hundreds Chart!!
Hooray for the Hundreds Chart!! The hundreds chart consists of a grid of numbers from 1 to 100, with each row containing a group of 10 numbers. As a result, children using this chart can count across rows
More informationA set of maths games based on ideas provided by the Wiltshire Primary Maths Team. These can be used at home as a fun way of practising the bare
A set of maths games based on ideas provided by the Wiltshire Primary Maths Team. These can be used at home as a fun way of practising the bare necessities in maths skills that children will need to be
More informationMATHS ACTIVITIES FOR REGISTRATION TIME
MATHS ACTIVITIES FOR REGISTRATION TIME At the beginning of the year, pair children as partners. You could match different ability children for support. Target Number Write a target number on the board.
More informationCALCULATIONS. Understand the operation of addition and the related vocabulary, and recognise that addition can be done in any order
CALCULATIONS Pupils should be taught to: Understand the operation of addition and the related vocabulary, and recognise that addition can be done in any order As outcomes, Year 1 pupils should, for example:
More informationOA310 Patterns in Addition Tables
OA310 Patterns in Addition Tables Pages 60 63 Standards: 3.OA.D.9 Goals: Students will identify and describe various patterns in addition tables. Prior Knowledge Required: Can add two numbers within 20
More informationTargets for Pupils in Year 4. Maths
Targets for Pupils in Year 4 Maths A Booklet For Parents Help Your Child With Mathematics Targets  Year 4 By the end of this year most children should be able to Know the 2, 3, 4, 5, 6, 7, 8, 9 and 10
More informationMaths Targets for pupils in Year 2
Maths Targets for pupils in Year 2 A booklet for parents Help your child with mathematics For additional information on the agreed calculation methods, please see the school website. ABOUT THE TARGETS
More information3 + 7 1 2. 6 2 + 1. 7 0. 1 200 and 30 100 100 10 10 10. Maths in School. Addition in School. by Kate Robinson
1 2. 6 2 + 1. 7 0 10 3 + 7 1 4. 3 2 1 231 200 and 30 100 100 10 10 10 Maths in School Addition in School by Kate Robinson 2 Addition in School Contents Introduction p.3 Adding in everyday life p.3 Coat
More informationMaths methods Key Stage 2: Year 3 and Year 4
Maths methods Key Stage 2: Year 3 and Year 4 Maths methods and strategies taught in school now are very different from those that many parents learned at school. This can often cause confusion when parents
More informationYear 2 Summer Term Oral and Mental Starter Activity Bank
Year 2 Summer Term Oral and Mental Starter Activity Bank Objectives for term Recall x2 table facts and derive division facts. Recognise multiples of 5. Recall facts in x5 table. Recall x10 table and derive
More information100 40 5 4 = 149. how many left? what s the difference? 5 60 80 4 = 149. take away. Maths in School. minus. Subtraction in School.
100 40 5 4 = 149 0 635 735 775 780 784 1000 8 5 2 1 5 3 how many left? what s the difference? 5 60 80 4 = 149 take away 0 635 640 700 780 784 1000 Maths in School minus Subtraction in School by Kate Robinson
More informationMental Math Addition and Subtraction
Mental Math Addition and Subtraction If any of your students don t know their addition and subtraction facts, teach them to add and subtract using their fingers by the methods taught below. You should
More informationReady, Set, Go! Math Games for Serious Minds
Math Games with Cards and Dice presented at NAGC November, 2013 Ready, Set, Go! Math Games for Serious Minds Rande McCreight Lincoln Public Schools Lincoln, Nebraska Math Games with Cards Close to 20 
More informationNF512 Flexibility with Equivalent Fractions and Pages 110 112
NF5 Flexibility with Equivalent Fractions and Pages 0 Lowest Terms STANDARDS preparation for 5.NF.A., 5.NF.A. Goals Students will equivalent fractions using division and reduce fractions to lowest terms.
More informationThird Grade Math Games
Third Grade Math Games Unit 1 Lesson Less than You! 1.3 Addition TopIt 1.4 Name That Number 1.6 Beat the Calculator (Addition) 1.8 Buyer & Vendor Game 1.9 TicTacToe Addition 1.11 Unit 2 What s My Rule?
More informationAddition and Subtraction Games
Addition and Subtraction Games Odd or Even (Grades 13) Skills: addition to ten, odd and even or more Materials: each player has cards (Ace=1)10, 2 dice 1) Each player arranges their cards as follows. 1
More information+ Addition + Tips for mental / oral session 1 Early addition. Combining groups of objects to find the total. Then adding on to a set, one by one
+ Addition + We encourage children to use mental methods whenever possible Children may not need to be taught every step STEP Tips for mental / oral session Counting Concept & images Comments Early addition
More informationMath Board Games. For School or Home Education. by Teresa Evans. Copyright 2005 Teresa Evans. All rights reserved.
Math Board Games For School or Home Education by Teresa Evans Copyright 2005 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser
More information1 ENGAGE. 2 TEACH and TALK GO. Round to the Nearest Ten or Hundred
Lesson 1.2 c Round to the Nearest Ten or Hundred Common Core Standard CC.3.NBT.1 Use place value understanding to round whole numbers to the nearest 10 or 100. Lesson Objective Round 2 and 3digit numbers
More informationMake maths fun!! Give your child lots of praise and encouragement!
Make maths fun!! Give your child lots of praise and encouragement! Talk to your child about how you work things out. CALCULATION The maths work your child is doing at school may look very different to
More information10, 100, Name:... Work out
Homework Sheet : Multiplying And Dividing By 0, 00, 000 Work out 286 0.............. 730 0......... 2 3 700 0.............. 2 28 000 0......... 3 430 00.............. 3 8700 00......... 4 407 000..............
More informationThree daily lessons. Year 5
Unit 6 Perimeter, coordinates Three daily lessons Year 4 Autumn term Unit Objectives Year 4 Measure and calculate the perimeter of rectangles and other Page 96 simple shapes using standard units. Suggest
More information1.4 Multiplying Whole Numbers. Multiplication: 5 x 4 = 5 4 = 5(4) = 20. Other terms for multiplication: times, multiplied by, of.
1.4 Multiplying Whole Numbers Multiplication: 5 x 4 = 5 4 = 5(4) = 20 factors Other terms for multiplication: times, multiplied by, of. product Multiplication Properties of 0 and 1: a 0 = 0 Example: 4
More informationMental Computation Activities
Show Your Thinking Mental Computation Activities Tens rods and unit cubes from sets of baseten blocks (or use other concrete models for tenths, such as fraction strips and fraction circles) Initially,
More informationThe Crescent Primary School Calculation Policy
The Crescent Primary School Calculation Policy Examples of calculation methods for each year group and the progression between each method. January 2015 Our Calculation Policy This calculation policy has
More informationEveryday Math Online Games (Grades 1 to 3)
Everyday Math Online Games (Grades 1 to 3) FOR ALL GAMES At any time, click the Hint button to find out what to do next. Click the Skip Directions button to skip the directions and begin playing the game.
More informationMultiplication Facts Practice
Multiplication Facts Practice Objectives To introduce the 5facts test; and to provide practice with multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts
More informationSue Fine Linn Maskell
FUN + GAMES = MATHS Sue Fine Linn Maskell Teachers are often concerned that there isn t enough time to play games in maths classes. But actually there is time to play games and we need to make sure that
More informationUnit 2 Number and Operations Fractions: Multiplying and Dividing Fractions
Unit Number and Operations Fractions: Multiplying and Dividing Fractions Introduction In this unit, students will divide whole numbers and interpret the answer as a fraction instead of with a remainder.
More information23 33 43 To bridge through a multiple of 10 eg 36 + 8 = 44 +4 +4
ADDITION Foundation Stage Year 1 Year 2 Year 3 Begin to represent numbers using fingers, marks on paper or pictures. Begin to relate addition to combining 2 groups of objects. Eg. Practical activities,
More informationAn Australian Microsoft Partners in Learning (PiL) Project
An Australian Microsoft Partners in Learning (PiL) Project 1 Learning objects  Log on to the website: http://www.curriculumsupport.education.nsw.gov.au/countmein/  Select children Select children  This
More informationDecimals and Percentages
Decimals and Percentages Specimen Worksheets for Selected Aspects Paul Harling b recognise the number relationship between coordinates in the first quadrant of related points Key Stage 2 (AT2) on a line
More informationTargets for pupils in Year 2
How heavy? You will need some kitchen scales that can weigh things in kilograms. Targets for pupils in Year 2 Ask your child to find something that weighs close to 1 kilogram. Can he / she find something
More informationPROGRESSION MAP Multiplication This must be viewed alongside the division map so that connections can be made. YR Y1 Y2 Y3 Y4 Y5 Y6
PROGRESSION MAP Multiplication This must be viewed alongside the division map so that connections can be made. YR Y1 Y2 Y3 Y4 Y5 Y6 Begin to understand multiplication by using concrete objects, pictorial
More informationMAKING MATH MORE FUN BRINGS YOU FUN MATH GAME PRINTABLES FOR HOME OR SCHOOL
MAKING MATH MORE FUN BRINGS YOU FUN MATH GAME PRINTABLES FOR HOME OR SCHOOL THESE FUN MATH GAME PRINTABLES are brought to you with compliments from Making Math More Fun at and Math Board Games at Copyright
More informationMaths Calculation Booklet for parents
Maths Calculation Booklet for parents INTRODUCTION This booklet is intended to explain the ways in which your children are taught to write down their calculations. We have revised the school calculation
More informationNS650 Dividing Whole Numbers by Unit Fractions Pages 16 17
NS60 Dividing Whole Numbers by Unit Fractions Pages 6 STANDARDS 6.NS.A. Goals Students will divide whole numbers by unit fractions. Vocabulary division fraction unit fraction whole number PRIOR KNOWLEDGE
More informationMultiplication Fact Power and Shortcuts
Multiplication Fact Power and Shortcuts Objectives To discuss multiplication facts and the importance of fact power; and to review fact shortcuts. www.everydaymathonline.com epresentations etoolkit Algorithms
More informationTasks to Move Students On
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
More informationYear 1. Use numbered number lines to add, by counting on in ones. Encourage children to start with the larger number and count on.
Year 1 Add with numbers up to 20 Use numbered number lines to add, by counting on in ones. Encourage children to start with the larger number and count on. +1 +1 +1 Children should: Have access to a wide
More informationTopic Lesson Widget HOTsheet
Numbers to 1000 and beyond Numbers to 1000 Words and numbers Number machine Ordering numbers Numbers beyond 1000 Number creator Jersey numbers Number grid puzzles Number creator Digit cards Passwords Splitting
More informationAssessment for Learning Explain how you solved this problem. equipment to show your solution? STRAND CODE Year 2 Objectives Year 2 Year 2
BLOCK A Speaking and listening objectives for the block Explain how you solved this problem. Speak with clarity and Does everyone understand how the problem was Unit 1 intonation when reading and reciting
More informationThe PartialQuotients Division Algorithm, Part 1
The PartialQuotients Division Algorithm, Part 1 Objectives To introduce and provide practice with a lowstress division algorithm for 1digit divisors. www.everydaymathonline.com epresentations etoolkit
More informationUnit 13 Handling data. Year 4. Five daily lessons. Autumn term. Unit Objectives. Link Objectives
Unit 13 Handling data Five daily lessons Year 4 Autumn term (Key objectives in bold) Unit Objectives Year 4 Solve a problem by collecting quickly, organising, Pages 114117 representing and interpreting
More information1 Mathematics Curriculum
New York State Common Core 1 Mathematics Curriculum G R A D E GRADE 1 MODULE 1 Topic F Development of Addition Fluency Within 10 1.OA.3, 1.OA.6 Focus Standard: 1.OA.3 Apply properties of operations as
More informationMATHEMATICS Y3 Using and applying mathematics 3810 Solve mathematical puzzles and investigate. Equipment MathSphere www.mathsphere.co.
MATHEMATICS Y3 Using and applying mathematics 3810 Solve mathematical puzzles and investigate. Equipment Paper, pencil, ruler Dice, number cards, buttons/counters, boxes etc MathSphere 3810 Solve mathematical
More informationMath Journal HMH Mega Math. itools Number
Lesson 1.1 Algebra Number Patterns CC.3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. Identify and
More informationEASTER REVISION 10 4 10
KS2 Mathematics EASTER REVISION 10 MINUTES A DAY FOR 10 DAYS Very soon after your Easter holidays you will be sitting your KS2 SATs. You have been working very hard in your lessons, to achieve your best
More informationVersion 01 7540004662. Part 1 Multiplication
Version 01 7540004662 Part 1 Multiplication Part 1 Multiplication Multiplication and Division i This content is Copyright 2005 Open School BC, all rights reserved. Open School BC content and may neither
More informationMathematics Second Practice Test 1 Levels 46 Calculator not allowed
Mathematics Second Practice Test 1 Levels 46 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school
More informationMultiplication Arrays
Multiplication Arrays Objective To provide opportunities to use arrays, multiplication/ division diagrams, and number models to represent multiplication number stories. www.everydaymathonline.com epresentations
More informationSection 1.5 Arithmetic in Other Bases
Section Arithmetic in Other Bases Arithmetic in Other Bases The operations of addition, subtraction, multiplication and division are defined for counting numbers independent of the system of numeration
More informationUnit 6 Number and Operations in Base Ten: Decimals
Unit 6 Number and Operations in Base Ten: Decimals Introduction Students will extend the place value system to decimals. They will apply their understanding of models for decimals and decimal notation,
More informationNumber boards for mini mental sessions
Number boards for mini mental sessions Feel free to edit the document as you wish and customise boards and questions to suit your learners levels Print and laminate for extra sturdiness. Ideal for working
More informationUse a 1/2 inch graph paper to make a multiplication matrix and allow youngsters to take turns identifying all the multiples of a target digit.
Multiplication and Division The accompanying games and activities are presented sequenced from basic to more challenging. Multiplication games are in the left hand column, division in the right with various
More informationGRADE 2. Subtraction WORKSHEETS
GRADE 2 Subtraction WRKSHEES Subtraction facts to 10 review 1 Finish these number facts. a 5 2 = b 10 3 = c 7 3 = 5 4 = 10 6 = 8 5 = 5 1 = 10 9 = 3 2 = 5 0 = 10 8 = 9 6 = 2 Add the missing numbers to make
More informationTeaching Guidance. For. Multiplication and Division
Teaching Guidance For Multiplication and Division (Overcoming Barriers Moving Levels 1 to 2, 2 to 3, 3 to 4, 4 to 5) 1 of 2 The National Strategies Primary Overcoming barriers in mathematics helping children
More informationNS538 Remainders and NS539 Dividing with Remainders
:1 PAGE 8990 NS538 Remainders and NS539 Dividing with Remainders GOALS Students will divide with remainders using pictures, number lines and skip counting. Draw: 6 3 = 2 7 3 = 2 Remainder 1 8 3 = 2
More informationAdding Integers on a Number Line
NS75 Adding Integers on a Number Line Pages 36 37 Standards: 7.NS.A.1b Goals: Students will add integers using a number line. Students will interpret addition of integers when the integers are written
More informationWigan LEA Numeracy Centre. Year 3 Mental Arithmetic Test Questions
Wigan LEA Numeracy Centre Year 3 Mental Arithmetic Test Questions Produced by Wigan Numeracy Centre September 000 Test (end of week ) Year 3 Time Block I will read every question twice. In this first set
More informationBaseball Multiplication Objective To practice multiplication facts.
Baseball Multiplication Objective To practice multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common
More informationThis is a game for two players and one referee. You will need a deck of cards (Ace 10).
PLAYER SALUTE This is a game for two players and one referee. You will need a deck of cards (Ace 10). Each player draws a card and, without looking, holds the card on his/her forehead facing outward. The
More informationMULTIPLICATION. Present practical problem solving activities involving counting equal sets or groups, as above.
MULTIPLICATION Stage 1 Multiply with concrete objects, arrays and pictorial representations How many legs will 3 teddies have? 2 + 2 + 2 = 6 There are 3 sweets in one bag. How many sweets are in 5 bags
More informationEXTENSION: Students may draw two times before they make a rectangle. Are the two # s they combined odd or even? Is their sum odd or even?
TITLE: ODD or EVEN SOURCE: NCTM Addenda Series/Grades K6 OBJECIVE; Students will be able to demonstrate an understanding of the relationships between odds and evens. Appropriate for grades 12, extensions
More informationFoundation 2 Games Booklet
MCS Family Maths Night 27 th August 2014 Foundation 2 Games Booklet Stage Focus: Trusting the Count Place Value How are games used in a classroom context? Strategically selected games have become a fantastic
More informationMake your child a Maths Star!
Make your child a Maths Star! A parents guide to helping your children with Maths Booklet 2 of 3: Key Stage 2 Year 3 to Year 4 It wasn t like this when I was AT school! Have you ever wished that you understood
More informationYear 1 Vocabulary bookmark. Year 1 Vocabulary bookmark. Addition and subtraction. Addition and subtraction
Addition and subtraction +, add, more, plus make, sum, total altogether score double, near double one more, two more... ten more how many more to make...? how many more is... than...? how much more is...?
More informationWorking with whole numbers
1 CHAPTER 1 Working with whole numbers In this chapter you will revise earlier work on: addition and subtraction without a calculator multiplication and division without a calculator using positive and
More informationTopic: 1  Understanding Addition and Subtraction
8 days / September Topic: 1  Understanding Addition and Subtraction Represent and solve problems involving addition and subtraction. 2.OA.1. Use addition and subtraction within 100 to solve one and twostep
More information21 Easter Activities For Kids
21 Easter Activities For Kids Happy Easter From Copyright 2011 Teresa Evans. All rights reserved. You are free to give this book to others. You may not alter the book in any way. You may not claim copyright.
More informationMath Games For Skills and Concepts
Math Games p.1 Math Games For Skills and Concepts Original material 20012006, John Golden, GVSU permission granted for educational use Other material copyright: Investigations in Number, Data and Space,
More informationWhat Is Singapore Math?
What Is Singapore Math? You may be wondering what Singapore Math is all about, and with good reason. This is a totally new kind of math for you and your child. What you may not know is that Singapore has
More informationProgression towards a standard written method of Calculation
Progression towards a standard written method of Calculation Introduction Children are introduced to the process of Calculation through practical, oral and mental activities. Through these activities they
More informationObjective To introduce and practice the partialsums addition algorithm.
Objective To introduce and practice the partialsums addition algorithm. 1 Teaching the Lesson Key Activities Children are introduced to the partialsums algorithm using base1 blocks and paperandpencil
More informationUsing games to support. WinWin Math Games. by Marilyn Burns
4 WinWin Math Games by Marilyn Burns photos: bob adler Games can motivate students, capture their interest, and are a great way to get in that paperandpencil practice. Using games to support students
More informationMaths help at home booklet Foundation and Key Stage 1
Maths help at home booklet Foundation and Key Stage 1 As your child moves from simple counting and adding to becoming a fluent mathematician, it is not always clear especially to parents who are not confident
More informationMental Strategies Count hn 1 s, 2 s, 5 s and 10 s ushnf counters, cubes
CALCULATION POLICY FOR MULTIPLICATION THE FOLLOWING ARE STANDARDS THAT WE EXPECT THE MAJORITY OF CHILDREN TO ACHIEVE. Foundation Stage Working vocabulary: compare, double, half, halve, count out, share
More informationLudworth Primary School MATHS: Money and Time IDEAS FOR HOME FOR INFANT (Key Stage 1) CHILDREN
Ludworth Primary School MATHS: Money and Time IDEAS FOR HOME FOR INFANT (Key Stage 1) CHILDREN A HELP SHEET FOR PARENTS Note: Not all of these are suitable for all Y1 and Y2 children. Some are easy and
More informationOneInch Graph Paper
OneInch Graph Paper Classroom Strategies Blackline Master II  1 49 HalfInch Graph Paper 50 Classroom Strategies Blackline Master II  2 TwoCentimeter Graph Paper Classroom Strategies Blackline Master
More informationby Teresa Evans Copyright 2010 Teresa Evans. All rights reserved. Permission is given for the making of copies for use
by Teresa Evans Copyright 2010 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser only. Looking for More Math Fun? Making
More informationALGEBRA. sequence, term, nth term, consecutive, rule, relationship, generate, predict, continue increase, decrease finite, infinite
ALGEBRA Pupils should be taught to: Generate and describe sequences As outcomes, Year 7 pupils should, for example: Use, read and write, spelling correctly: sequence, term, nth term, consecutive, rule,
More informationSubtraction from Addition
Subtraction from Addition Objectives To review the and 1 shortcuts; and to guide children to identify the subtraction facts related to given addition facts. www.everydaymathonline.com epresentations etoolkit
More informationGrade 4 Mathematics Patterns, Relations, and Functions: Lesson 3
Grade 4 Mathematics Patterns, Relations, and Functions: Lesson 3 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes
More informationThe Addition/Subtraction Facts Table
The Addition/Subtraction Facts Table Objectives To provide experience exploring patterns in sums of two dice; and to introduce the Addition/Subtraction Facts Table. www.everydaymathonline.com epresentations
More information1 Mathematics Curriculum
New York State Common Core 1 Mathematics Curriculum G R A D E GRADE 1 MODULE 1 Topic J Development of Subtraction Fluency Within 10 1.OA.6 Focus Standard: 1.OA.6 Add and subtract within 20, demonstrating
More informationFive daily lessons. Pages 24, 28. Page 32. Page 60. Year 2
Unit 4 Addition and subtraction Five daily lessons Year 1 Autumn term Unit Objectives Understand the operation of ition and of subtraction (as take away, difference and how many more to make ), and use
More informationStage 2  Addition and Subtraction 2
Tighes Hill Public School NSW Syllabus for the Australian Curriculum Number and Algebra Stage 2  Addition and Subtraction 2 Outcome Teaching and Learning Activities Notes/ Future Directions/Evaluation
More informationSwavesey Primary School Calculation Policy. Addition and Subtraction
Addition and Subtraction Key Objectives KS1 Foundation Stage Say and use number names in order in familiar contexts Know that a number identifies how many objects in a set Count reliably up to 10 everyday
More informationObjective To introduce the concept of square roots and the use of the squareroot key on a calculator. Assessment Management
Unsquaring Numbers Objective To introduce the concept of square roots and the use of the squareroot key on a calculator. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts
More informationSupport Booklet for. Student Name: Coach Name(s): Start Date: What does the student want to achieve from this programme?
Support Booklet for Student Name: Name(s): Start : What does the student want to achieve from this programme? Target End : Sarah Emson Page 1 Why and Who? Using Turn Tables Using Turn Tables Individual
More informationTCM040 MSOM NEW:TCM040 MSOM 01/07/2009 12:13 Page 1. A book of games to play with children
TCM040 MSOM NEW:TCM040 MSOM 01/07/2009 12:13 Page 1 A book of games to play with children TCM040 MSOM NEW:TCM040 MSOM 01/07/2009 12:13 Page 2 Contents About this book 3 Find the hidden money 4 Money box
More informationRecord counting on method using the empty number line. +600 +50. Q What are the four related number sentences for this calculation?
Unit 11 Addition and subtraction Five daily lessons Year 5 Autumn term Unit Objectives Year 5 Find difference by counting up through next multiple of 10, 100 or 1000. Partition into H, T and U adding the
More information2.5 Zeros of a Polynomial Functions
.5 Zeros of a Polynomial Functions Section.5 Notes Page 1 The first rule we will talk about is Descartes Rule of Signs, which can be used to determine the possible times a graph crosses the xaxis and
More informationChange Number Stories Objective To guide children as they use change diagrams to help solve change number stories.
Number Stories Objective To guide children as they use change diagrams to help solve change number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game
More informationGrade 1 and 2: Basic Addition and Subtraction Facts Series 2: First and Second Grade
Grade 1 and 2: Basic Addition and Subtraction Facts Series 2: First and Second Grade Texas Essential Knowledge and Skills (TEKS): (1.3) Number, operation and quantitative reasoning. The student recognizes
More informationAddition and subtraction. Key Stage 1:
Key Stage 1: The principal focus of mathematics teaching in key stage 1 is to ensure that pupils develop confidence and mental fluency with whole numbers, counting and place value. This should involve
More informationYear 2 Vocabulary bookmark. Year 2 Vocabulary bookmark. Addition and subtraction. Addition and subtraction
Addition and subtraction +, add, addition, more, plus make, sum, total altogether score double near double one more, two more... ten more... one hundred more how many more to make...? how many more is...
More informationFinancial Literacy Meeting Ideas Daisy Financial Literacy Games and Activities
Financial Literacy Meeting Ideas Daisy Financial Literacy Games and Activities Fulfills Money Counts steps 1, 2, 3: Money Money You need: Place Value Boards (one for each girl), bags of copied money (one
More information