E CA AC EA AA AM AP E CA AC EA AA AM AP E CA AC EA AA AM AP E CA AC EA AA AM AP E CA AC EA AA AM AP E CA AC EA AA AM AP

1 The role of this book. School wide assessment resource instructions. Contents page Pg3 Pg3 E CA AC EA AA AM AP I am learning my addition and subtraction facts to five. Pg4, 5 I am learning my doubles to ten. Pg6, 7 E CA AC EA AA AM AP Recall addition and subtraction facts up to ten. Pg8, 9 I am learning my doubles to twenty and corresponding halves. Pg10, 11 I am learning my ten and facts Pg12, 13 I am learning my multiples of ten which add to 100. Pg14, 15 I am learning my addition facts to twenty. Pg16, 17 I am learning my subtraction facts to ten. Pg18, 19 E CA AC EA AA AM AP I am learning how repeated addition can help me answer multiplication questions. Pg20, 21 I am learning what the X symbol means. Pg22, 23 I am learning whether order is important in multiplication. Pg24, 25 I am learning my two times tables. Pg26, 27 I am learning my ten times tables. Pg28, 29 I am learning my five times tables. Pg30, 31 I am learning my multiples of 100 that add to 1000. Pg32, 33 E CA AC EA AA AM AP I am learning my addition and subtraction facts to twenty. Pg34, 35 I am learning my four times tables. Pg36, 37 I am learning my three times tables. Pg38, 39 I am learning my six times tables. Pg40, 41 I am learning my eight times tables. Pg42, 43 I am learning my seven times tables. Pg44, 45 I am learning my nine times tables. Pg46, 47 I am learning my multiplication basic facts with tens, hundreds and thousands. Pg48, 49 E CA AC EA AA AM AP I am learning my division basic facts up to my ten times tables. Pg50, 51 I am learning to convert fractions to decimals to percentages and vice versa for halves, quarters fifths and tenths. Pg52, 53 E CA AC EA AA AM AP I am learning the divisibility rules for twos, fives and tens. Pg54, 55 I am learning the divisibility rules for threes, sixes and nines. Pg56, 57 I am learning the divisibility rules for fours and eights. Pg58, 59 I am learning the divisibility rules for sevens. Extra for experts Pg60, 61 I am learning to square numbers to 100 and find the corresponding square roots. Pg62, 63 I am learning factors of numbers to 100. Pg64, 65 I am learning to identify prime numbers. Pg66, 67 I am learning to find common multiples of numbers to ten and the lowest common multiple. Pg68, 69

2 E CA AC EA AA AM AP I am learning to convert fractions to decimals to percentages and vice versa. Pg70, 71 I am learning simple powers of numbers. Pg72, 73 I am learning to find common factors of numbers up to 100 including the highest common factor. Pg74, 75 School wide basic facts assessment resource Graphs Answers Pg76-82 Pg83-89 Pg90-105

3 The role of this book This resource is designed specifically for the basic facts component of the Numeracy Project. Most activity sheets are split into four sections: Prior Knowledge, Using Materials, Using Imaging and Number Properties. These activity sheets are designed to be used in conjunction with the explicit teaching of each skill. They are not designed to be given in the place of high quality teaching. School wide basic facts assessment resource The school wide basic facts resource at the back of this book includes basic facts assessment sheets for each stage (and/or group of stages) in the Numeracy Project. It also includes answers and a graph for each stage. The y-axis on all the graphs has been designed to best show student progression over time. To do this the intervals are not constant. The intervals at the top of the axis increase by one compared to the low and middle parts of the axis which vary between two and five depending on the graph. Each graph includes a suggested time limit. The following factors were taken into account when determining the suggested time limit. 1) Students fine motor development over time: Younger students take more time to record their responses. 2) Mastery (speed and accuracy): To demonstrate mastery students should not only be able to answer all questions correctly but also answer all questions quickly within a given timeframe.

4 FACTS TO FIVE I am learning my addition and subtraction facts to 5. PRIOR KNOWLEDGE: 1) Write in the missing numbers below. a) 1, 2,.., 4, 5 c), 2, 3, 4, 5 b) 1,, 3, 4, 5 d) 1, 2, 3, 4, USING MATERIALS: 2) Below are a number of counters. Draw how many more counters you need to make five counters. a) 4 + = 5 E CA AC EA AA AM AP b) 2 +.. = 5 c) 3 +.. = 5 d) 1 +.. = 5 3) Draw lines to connect the answers to their questions. Question a) 1 + 1 = Answer 4 b) 3 + 1 = 3 c) 1 + 2 = 2 d) 4 + 1 = 5

5 USING IMAGING: 4) Draw lines to connect the answers to their questions. Question a) 3 + 1 = Answer 5 b) 1 + 4 = 5 c) 3 + 2 = 3 d) 1 + 2 = 4 NUMBER PROPERTIES: 5) Solve the problems below. Question Answer Question Answer a) 1 + 3 = e) 4 + 1 = b) 1 + 1 = f) 2 + 1 = c) 3 + 2 = g) 2 + 3 = d) 3 + 1 = h) 2 + 2 = 6) Dave has two blue pens and three red pens. How many pens does he have?

6 DOUBLES TO TEN I am learning my doubles to ten. USING MATERIALS: 1) Draw pictures of counters to help you answer the questions below. Question a) 5 + 5 = b) 2 + 2 = c) 3 + 3 =.. d) 1 + 1 = e) 4 + 4 =.. Counters + +.. +.. +.. +.. E CA AC EA AA AM AP USING IMAGING: 2) Draw lines connecting the questions below with the correct answer. Question Answer a) 3 + 3 = 4 b) 2 + 2 = c) 5 + 5 = d) 4 + 4 = e) 1 + 1 = 6 2 8 10

7 3) Shade in all the numbers below which are the sum of doubles. 1 3 8 1 5 7 10 7 4 7 6 5 5 1 2 9 8 9 10 9 3 1 4 3 3 4) Draw lines connecting the word problems and number problems with the correct answer. Word problem Answer Number problem a) Four + four = 6 2 + 2 = b) Two + two = 10 3 + 3 = c) Five + five = 4 1 + 1 = d) One + one = 2 5 + 5 = e) Three + three = 8 4 + 4 = NUMBER PROPERTIES: 5) It took Susan four minutes to walk to school and four minutes to walk home. How long did she walk for? 6) Two people gave Tim a birthday card on Monday and two more gave him a birthday card on Tuesday. How many birthday cards has he now?

8 FACTS TO TEN Recall addition and subtraction facts up to 10. USING MATERIALS: 1) Draw counters to help you answer these questions. The first one has been done for you. + + + a) 3 + 5 = 8 b) 4 + 3 =. c) 2 + 7 = d) 1 + 5 = E CA AC EA AA AM AP e) 5 + 4 = USING IMAGING: 2) Circle the correct answers on the table below. Question Question a) 5 + 4 = 9 or 8 e) 9 + 1 = 9 or 10 b) 2 + 7 = 8 or 9 f) 6 + 3 = 8 or 9 c) 3 + 4 = 6 or 7 g) 2 + 5 = 6 or 7 d) 8 + 2 = 10 or 9 h) 4 + 2 = 6 or 7

9 3) How quickly can you answer the questions below? a) 6 + 3 = d) 8 + 1 = g) 4 + 3 = j) 3 + 6 = b) 3 + 2 = e) 6 + 2 = h) 3 + 7 = k) 4 + 2 = c) 5 + 1 = f) 2 + 7 = i) 2 + 5 = l) 5 + 3 = 4) Use the counters below to help you answer the following questions. The first one has been done for you. a) 10-3 = 7 b) 8 5 =... c) 6 4 = d) 9 3 = e) 7-4 = NUMBER PROPERTIES: 5) A tennis player has eight tennis balls and loses three. How many tennis balls does she have left? 6) A gardener plants three plants in the morning and five plants in the afternoon. How many has he planted?

10 DOUBLES TO TWENTY I am learning my doubles to 20 and corresponding halves. PRIOR KNOWLEDGE: Doubles means adding the same number to itself again. e.g. 6 + 6 or 8 + 8 etc. 1) Write down all the doubles you know which give an answer of ten or less. (Hint: there are five and the first one is done for you.) 1 + 1 = 2. + = 4.. +. =... +. =... +. =. USING MATERIALS: 2) Complete the table below by drawing counters to create doubles. The first one has been done for you. Counters Doubles + a) 6 + 6 = E CA AC EA AA AM AP + b) 7 + 7 = + c) 8 + 8 = + d) 9 + 9 = + e) 10 + 10 = 3) Cross out counters on the table below to help you find the answer to the questions on the right. The first one has been done for you. Counters Doubles a) 12 6 = b) 14-7 = c) 16-8 =

11 Counters Doubles d) 18-9 = e) 20-10 = USING IMAGING: 4) Find answers to all the doubles between ten and twenty on the table below. 9 8 20 17 21 13 10 13 13 0 9 19 11 27 6 19 4 18 29 3 1 7 17 2 6 16 3 14 8 23 3 17 25 11 15 12 NUMBER PROPERTIES: 5) Craig bought two packs of marbles. There were nine in each pack. Write the equation that tells us how many marbles Craig has. +. = 6) Two teams are playing soccer against each other. There are seven players in each team. Write the equation that tells us how many people in total are playing soccer. +. = 7) Tina bought two packs of fizzy drink. Each pack has six cans in it. Write the equation that tells us how many cans Tina has. +. =

12 TEN AND FACTS I am learning my ten and.. facts. PRIOR KNOWLEDGE: 1) Use lines to match the words and numbers below. The first one has been done for you. Words Numerals Words Numerals a) Eleven 13 f) Eighteen 15 b) Nineteen 11 g) Twelve 18 c) Thirteen 19 h) Seventeen 12 d) Sixteen 14 i) Fifteen 20 e) Fourteen 16 j) Twenty 17 E CA AC EA AA AM AP USING MATERIALS: 2) Complete the table below. Question Counters a) 10 + 2 =. b) 10 + 7 =.. + + c) 10 + 4 =.. d) 10 + 10 =.. + + e) 10 + 8 =.. f) 10 + 1 =.. g) 10 + 9 =.. + + +

13 Question Counters h) 10 + 5 =.. + i) 10 + 3 =.. + j) 10 + 6 =.. + USING IMAGING: 3) Find the answers to the questions below in the table to the right. Write down what column and row the answer was found in. Question a) 10 + 1 = b) 10 + 2 = c) 10 + 3 = d) 10 + 4 = e) 10 + 5 = f) 10 + 6 = g) 10 + 7 = h) 10 + 8 = i) 10 + 9 = j) 10 + 10 = Row of answer Column of answer Row 1 Row 2 Row 3 Row 4 Row 5 Row 6 Column 1 Column 2 Column 3 Column 4 7 9 2 8 7 8 18 14 22 12 11 3 33 41 31 21 20 5 17 32 16 23 29 23 19 3 13 9 15 27 Column 5 NUMBER PROPERTIES: 4) Debbie scored ten goals at netball last week and seven more goals this week. How many goals has she scored in total? 5) Craig invites ten boys and nine girls to his birthday party. How many people has he invited to his party? 6) At a garage sale they made $3 in the first hour and $10 in the second hour. How much money did they make in total over the two hours?

14 MULTIPLES OF TEN I am learning my multiples of ten which add to 100. PRIOR KNOWLEDGE: 1) Circle all the numbers below that are multiples of ten. These numbers are also known as tidy numbers. 13 71 24 31 91 80 51 33 9 62 87 60 67 83 42 64 76 72 50 26 46 96 90 35 17 30 18 77 19 79 40 74 48 20 58 12 63 2 97 33 39 70 23 89 94 100 37 47 10 88 E CA AC EA AA AM AP USING MATERIALS: 2) Complete the table by drawing counters and filling in the blanks. The first row has been done for you. Question With counters a) 30 + 70 = 10 10 10 + 10 10 10 10 10 10 10 100 b) 50 +. = 100 10 10 10 10 10 + c) 40 +. = 10 10 10 10 100 +. d) 70 +. = 100.. e) 10 +. = 100.. f) 90 +. = 100..

15 Question With counters g) 60 +. = 100.. h) 40 +. = 100.. i) 20 +. = 100.. USING IMAGING: 3) Find the answers to the questions below in the table to the right. Write down what column and row the answer was found in. Question a) 10 +. = 100 b) 20 +. = 100 c) 30 +. = 100 d) 40 +. = 100 e) 50 +. = 100 f) 60 +. = 100 g) 70 +. = 100 h) 80 +. = 100 i) 90 +. = 100 Row of answer Column of answer Row 1 Row 2 Row 3 Row 4 Row 5 Row 6 Column 1 Column 2 Column 3 Column 4 23 67 70 61 20 30 50 36 91 78 52 48 27 80 38 83 60 72 56 84 41 10 44 40 51 93 29 69 34 90 Column 5 NUMBER PROPERTIES: 4) Sam needs $100 to buy a new computer game. He has $70. How much more does he need to save? 5) Karen got twenty questions wrong in a test out of one hundred. How many questions did she get correct? 6) One hundred students walk into the hall. Forty students come in through door one. How many students come through door two (the only other door)?

16 ADDING TO TWENTY I am learning my addition facts to twenty. PRIOR KNOWLEDGE: 1) You should already know your addition facts to ten and your ten and facts. Complete these on the table below. Question Question Question Question a) 10 + 2 = h) 10 + 1 = o) 1 + 4 = v) 10 + 4 = b) 5 + 3 = i) 4 + 2 = p) 10 + 8 = w) 2 + 3 = c) 6 + 2 = j) 10 + 3 = q) 4 + 2 = x) 4 + 4 = d) 10 + 7 = k) 2 + 5 = r) 3 + 7 = y) 10 + 5 = e) 6 + 3 = l) 8 + 1 = s) 3 + 4 = z) 2 + 2 = f) 7 + 2 = m) 10 + 6 = t) 10 + 9 = aa) 5 + 4 = g) 10 + 10 = n) 2 + 1 = u) 5 + 2 = ab) 1 + 9 = E CA AC EA AA AM AP USING MATERIALS: Using tens frames example. 7 + 5 = Step 1: place the seven counters on the tens frame as shown to the right. Step 2: Now add the next five counters to the tens frame. Once you have filled this tens frame start another tens frame. Step 3: You can now see that 7 + 5 is the same as 10 + 2. Step 4: 10 + 2 = 12. so 7 + 5 = 12 2) Draw counters on the tens frames below to help you answer the following questions. a) 10 + 4 =. 8 + 6 = So 8 + 6 = b) 10 + 2 =. 7 + 5 = So 7 + 5 = c) 10 + 5 =. 6 + 9 = So 6 + 9 =

17 d) 4 + 8 = e) 6 + 7 = 10 + 2 =. So 4 + 8 = 10 + 3 =. So 6 + 7 = USING IMAGING: 3) Use doubles to help you answer the questions below. Doubles question Corresponding question Doubles question Corresponding question a) 8 + 8 = d) 8 + 9 = g) 6 + 6 = j) 6 + 7 = b) 7 + 7 = e) 7 + 8 = h) 9 + 9 = k) 9 + 8 = c) 6 + 6 = f) 6 + 7 = i) 7 + 7 = l) 7 + 6 = 4) Imagine tens frames in your head to help you answer these questions. Question Answer Question Answer a) 8 + 4 = g) 7 + 8 = b) 5 + 7 = h) 4 + 8 = c) 6 + 5 = i) 9 + 8 = d) 9 + 8 = j) 3 + 9 = e) 9 + 2 = k) 4 + 7 = f) 6 + 7 = l) 4 + 9 = NUMBER PROPERTIES: 5) The school softball team scores seven runs in their first game and eight runs in their second game. How many runs have they scored in total? 6) Craig bought a filled roll for $6 and a cake for $5. How much did he spend? 7) Sally spent seven minutes on the phone to one friend and five minutes on the phone to another friend. In total how long did she spend on the phone? 8) The Smith family ate nine apples on Monday and five apples on Tuesday. How many apples did they eat in total?

18 SUBTRACTION TO TEN I am learning my subtraction facts to ten. PRIOR KNOWLEDGE: 1) You should already know your addition facts. Complete these on the table below. Question Question Question Question a) 2 + 5 = f) 8 + 2 = k) 4 + 5 = p) 3 + 5 = b) 6 + 3 = g) 4 + 3 = l) 6 + 2 = q) 4 + 4 = c) 1 + 9 = h) 1 + 7 = m) 9 + 1 = r) 6 + 1 = d) 2 + 4 = i) 6 + 1 = n) 1 + 5 = s) 3 + 1 = e) 3 + 6 = j) 2 + 6 = o) 3 + 4 = t) 2 + 7 = E CA AC EA AA AM AP USING MATERIALS: 2) Draw counters and then cross out the amount you must subtract. The first line is done for you. Question With Counters a) 8 3 = b) 6 4 = c) 9 7 = d) 8 4 = e) 3 2 =.. f) 5 2 =.. g) 7 5 =.. h) 7 3 =.. i) 6 2 =.. USING IMAGING: 3) Use lines to link the addition and subtraction facts with the answers below. Addition question Answer Subtraction question 3 +.. = 7 3 5 - = 2 2 +. = 5 4 8 - = 6 6 +. = 8 2 7 -. = 3 1 +.. = 9 5 7 -. = 2 2 +. = 7 8 9 -. = 1

19 4) Use lines to link the addition and subtraction facts with the answers below. Addition question Answer Subtraction question 8 +.. = 9 1 8 -. = 4 7 +.. = 9 4 9 - = 8 4 + = 8 3 9 -.. = 7 5 + = 8 2 8 -. = 5 5) Change the subtraction questions below into addition questions to make them easier to answer. The first question has been done for you. Subtraction question As an addition question Subtraction question As an addition question a) 7 5 = 2 e) 5 + 2 =. i) 9 4 = m). b) 8 6 =.. f) 6 + 2 = j) 8 7 =... n). c) 5 3 = g) 3 +.. = 5 k) 9 2 = o). d) 2 1 =. h) 1 +.. = 2 l) 5 4 = p). NUMBER PROPERTIES: 6) Steve bought a bag of eight apples and ate three. How many apples did he have left? 7) Susan invited nine friends to her party. Three couldn t come. How many friends came to her party? 8) Gareth has a rope which is seven metres long. He cut off two metres. How many metres long is his piece of rope now? 9) Hill Top Primary school had ten big trees outside it s gate. Four trees were cut down. How many trees were left? 10) A painter bought a pack of six brushes. She uses two of the brushes. How many brushes has she not used yet? 11) Sam must water eight pot plants. He has watered three. How many pot plants does he have left to water?

20 REPEATED ADDITION I am learning how repeated addition can help me answer multiplication questions. TEACHING POINT: Multiplication is a quick way of doing repeated addition. Repeated addition just means adding the same number again and again. The table below shows some examples of repeated addition and what this looks like as a multiplication fact. Repeated addition Example 1: 3 + 3 + 3 + 3 = 12 Example 2: 8 + 8 = 16 Equivalent multiplication fact 4 X 3 = 12 2 X 8 = 16 E CA AC EA AA AM AP Example 3: 5 + 5 + 5 + 5 + 5 + 5 + 5 = 35 5 X 7 = 35 Notice how the answers to the repeated addition question and the multiplication fact are the same. PRIOR KNOWLEDGE: 1) To be successful at this activity I must know all my doubles. Question Answer Question Answer a) 3 + 3 = f) 6 + 6 = b) 5 + 5 = g) 7 + 7 = c) 2 + 2 = h) 1 + 1 = d) 9 + 9 = i) 4 + 4 = e) 8 + 8 = j) 10 + 10 = USING MATERIALS: 2) In the table below are a number of counters which must be joined together. Write what this looks like as a repeated addition question and what it looks like as a multiplication fact. Counters Repeated addition Multiplication fact + a) 3 + 3 = 6 a) 2 X 3 = 6 + + b) 2 + 2 +.. = 6 b) 3 X.. = 6 + + c) 4 + + 4 =.. c) 3 X 4 =.

21 Counters Repeated addition Multiplication fact + d).+ = 10 d) X 5 = + + e) +. + = e). X 3 = + + f).. + +. =. f)... X = USING IMAGING 3) Write the related multiplication fact for the repeated addition questions below. Repeated addition Multiplication fact Repeated addition Multiplication fact a) 4 + 4 + 4 = 12 e) 8 + 8 = 16 b) 5 + 5 = 10 c) 2 + 2 + 2 + 2 = 8 d) 7 + 7 + 7 = 21 X.. = X.. = X.. = X.. = X.. = f) 6 + 6 + 6 + 6 + 6 = 30 X.. = g) 9 + 9 + 9 = 27 X.. = h) 3 + 3 + 3 + 3 + = 12 X.. = 4) Write the repeated addition facts for the related multiplication facts below. Repeated addition Multiplication fact Repeated addition 3 X 7 = 21 a)... +. +.. =.. e) 4 X 5 = 20 b) f) 7 X 2 = 14 c) g) 3 X 5 = 15 d) h) Multiplication fact 5 X 2 = 10 4 X 8 = 32 6 X 3 = 18 2 X 9 = 18 NUMBER PROPERTIES: Tim bought five boxes of muesli bars. Each box has four bars inside it. How many muesli bars does Tim have? 5) Use repeated addition to answer this question. 6) Use multiplication to answer this question.

22 WHAT IS MULTIPLICATION? I am learning what the X symbol means. TEACHING POINT: The X sign is the symbol for multiply, it basically means sets of. The table below shows some examples. Using counters As words As an equation + + Three sets with two in each set. (Three sets of two). + 3 X 2 = 6 Two sets with four in each set. (Two sets of four). 2 X 4 = 8 E CA AC EA AA AM AP Notice how there are the same amount of counters in each group for each example. To use multiplication this must always be the case. USING MATERIALS: 1) Use the counters in the table below to help you answer the following questions. Using counters As words As an equation + + a) Three sets with. in each set. (Three sets of three). 3 X. = 9 + b) Two sets with. in each set. (Two sets of four). 2 X = + + c).. sets with five in each set.. X 5 =.. + + + (.. sets of 5) d).. sets with. in each set. ( sets of.) X = + + + e) sets with. in each set. (. sets of.) X =

23 USING IMAGING: 2) Draw what the equations below would look like using counters. The first question is done for you. Question Question with counters a) 3 X 4 = + + b) 8 X 5 =.. c) 7 X 2 =. d) 4 X 4 = NUMBER PROPERTIES: 3a) Sarah bought five packs of Easter eggs. There are four eggs in each pack. Draw what this would look like in the gap below. 3b) Write a multiplication equation to work out how many Easter eggs Sarah has. 4) Kevin has four packets of pencils. In each pack there are six coloured pencils. Draw what this would look like in the gap below. 4b) Write a multiplication equation to work out how many coloured pencils Kevin has.

24 DOES ORDER MATTER? I am learning whether order is important in multiplication. TEACHING POINT: Numbers in multiplication equations have names. The whole thing is called an equation Reasons why the order is important Because they mean different things e.g. 2 X 3 = 6. It looks like two groups of three as can be seen below. 5 X 6 = 30 Factor Factor Product Reasons why order is not important Because the answer is the same e.g. 3 X 4 = 12 + + E CA AC EA AA AM AP + 4 X 3 = 12 3 x 2 = 6 It looks like three groups of two as can be seen below. + + Reason why order is important = They look different + + + Reason why order is not important = You can see in the examples above the order of the products changes what it looks like but the answer stays the same. This is called REVERSABILITY. USING MATERIALS: 1) Complete the table below by drawing counters to show the equations below. The first line has been done for you. Question Picture with counters a) 2 X 8 = + b) 8 X 2 = + + + + + + + c) 3 X 5 = + +

25 Question Picture with counters d) 5 X 3 = + + + + e) 3 X 4 = f) 4 X 3 = USING IMAGING: 2) Complete the two times table answers on the table below. Question 2 X 1 = 2 X 2 = 2 X 3 = 2 X 4 = 2 X 5 = 2 X 6 = 2 X 7 = 2 X 8 = 2 X 9 = 2 X 10 = Answer 2 4......... 3) Use the answer above to help you answer the questions below. The first row has been done for you. Question Answer (using reversibility) a) 9 X 2 =? 2 X 9 = 18 so 9 X 2 = 18 b) 7 X 2 =? 2 X 7 =. so 7 X 2 =. c) 3 X 2 =? 2 X 3 =.. so 3 X 2 =.. d) 6 X 2 =? 2 X 6 =.. so 6 X 2 =. e) 4 X 2 =? 2 X 4 =.. so 4 X 2 =.. f) 8 X 2 =? 2 X 8 = so 8 X 2 =.. g) 5 X 2 =? 2 X 5 =.. so 5 X 2 =. NUMBER PROPERTIES: 4) Tim has to write nine spelling words out five times (9 X 5). He wants to work out how many words he must write but does not know his nine times tables. How can he use his five times tables to work out the answer to this question and what is the answer? 5) Sarah has seven packs of pencils with ten pencils in each pack (7 X 10). She wants to work out how many pencils she has but does not know her seven times tables. How can she use her ten times tables to work out the answer to this question?

26 TWO TIMES TABLES I am learning my two times tables. PRIOR KNOWLEDGE REQUIRED: 1) To be successful at this lesson I must be able to count in twos. Fill in the missing gaps on the table to the right. 2 6 10 12 16 USING MATERIALS: 2) Complete the table below by drawing counters and filling in the gaps. Equation with counters Equation a) 2 X 1 = 2 + E CA AC EA AA AM AP + b) 2 x 2 =.. + +... + c) 2 X 3 =. d) 2 X 4 =.. e) 2 X 5 = f) 2 X 6 = g) 2 X 7 =.. h) 2 X 8 =. i) 2 X 9 = j) 2 X 10 = 3) Look at all the answers to your two times tables. Are all the answers even numbers or odd numbers?

27 USING IMAGING: 4) Circle the correct answer to all the questions below. Question Answer Question Answer a) 2 X 3 = 6 or 7 f) 2 X 4 = 9 or 8 b) 2 X 5 = 10 or 9 g) 2 X 8 = 16 or 18 c) 2 X 9 = 16 or 18 h) 2 X 1 = 2 or 1 d) 2 X 2 = 3 or 4 i) 2 X 10 = 19 or 20 e) 2 X 7 = 15 or 14 j) 2 X 6 = 12 or 13 5) Use the table at the bottom of this question to help you break the code below. Write the correct letter in each gap for every multiplication answer. e.g. 2 X 4 = 8 so underneath all eights write a. 8 18 10 6 0 18 14 2 6 0 0 4 20 10 6 12 h g l p l d o 0 16 4 8 18 4 16 4 18 18 2 14 20 4 g s r 2 X 4 = a 2 X 3 = t 2 X 7 = m 2 X 2 = e 2 X 9 = n 2 X 1 = u 2 X 5 = y 2 X 8 = v 2 X 10 = b 2 X 0 = i 2 X 6 = w NUMBER PROPERTIES: 6) Ally has two boxes with six cans of fizzy drink in each box. How many cans of fizzy drink does she have? 7) Paul has played nine games of soccer and scored two goals in every game. How many goals has he scored? 8) There are two packs with seven apples in each pack. How many apples are there in total? 9) Five people went to a book shop and bought two books each. How many books did they buy in total?

28 TEN TIMES TABLES I am learning my ten times tables. PRIOR KNOWLEDGE REQUIRED: 1) To be successful at this lesson I must be able to count in tens. Fill in the missing gaps on the table to the right. 10 60. USING MATERIALS: 2) Complete the table below the first two have been done for you. Equation using addition 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + + 4 + 4 + 4 + 4 + 4 + + + + + + + + + + 5 + 5 + 5 + 5 + 5 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 30.... 50 100 Equation a) 10 X 1 = 10 b) 10 X 2 = 20 c) 10 X 3 = 30 d) 10 X 4 = e) 10 X 5 = f) 10 X 6 = g) 10 X 7 = h) 10 X 8 = i) 10 X 9 = j) 10 X 10 = E CA AC EA AA AM AP 3) What do you notice about the number in the ones column for all the answers to the ten times tables. 4) How does knowing your one times tables help you answer your ten times tables? e.g. How does knowing 1 X 6 = 6 help you answer 10 X 6 =?

29 USING IMAGING: 5) Circle the correct answer to all the questions below. Question Answer Question Answer a) 10 X 4 = 40 or 400 f) 10 X 6 = 6 or 60 b) 10 X 7 = 7 or 70 g) 10 X 1 = 1 or 10 c) 10 X 2 = 20 or 200 h) 10 X 8 = 80 or 800 d) 10 X 5 = 5 or 50 i) 10 X 3 = 30 or 300 e) 10 X 9 = 90 or 900 j) 10 X 10 = 10 or 100 6) Find answers to the questions below in the table to the right. When you have highlighted them write down what row the answer was found in. The first answer has been done for you. Question a) 10 X 1 = Row answer can be found in Row 2 Row Table b) 10 X 2 = c) 10 X 3 = d) 10 X 4 = e) 10 X 5 = f) 10 X 6 = g) 10 X 7 = h) 10 X 8 = 1 17 11 44 87 2 33 100 14 33 2 10 89 95 70 44 71 11 2 0 3 68 79 32 22 16 90 0 64 74 4 56 31 29 54 41 13 36 64 69 5 34 13 14 89 40 44 7 13 21 6 12 19 50 66 31 33 54 44 61 7 81 80 11 123 111 8 17 12 37 8 12 56 20 64 60 21 89 5 42 9 32 77 1 34 200 11 30 2 66 i) 10 X 9 = j) 10 X 10 = NUMBER PROPERTIES: 7) Steph runs for ten minutes a day for four days each week. How many minutes does she run each week? 8) Zane packed ten apples into ten boxes. How many apples did he pack?

30 FIVE TIMES TABLES I am learning my five times tables. PRIOR KNOWLEDGE REQUIRED: 1) To be successful at this lesson I must be able to count in fives. Fill in the missing gaps on the table to the right. 10 25 30 50 USING MATERIALS: 2) Complete the table below by putting in the missing addition numbers and answers to the ten times tables and five times tables. Equation using addition Equation Ten times table 1 + 1 + 1 + 1 + 1 2 + 2 + 2 + 2 + 2 3 + 3 + 3 + 3 + 3 4 + 4 + + + + + + + + + + + + + + + + + + + + + + + + + + + a) 5 X 1 = c) 5 X 2 = e) 5 X 3 = g) 5 X 4 = i) 5 X 5 = k) 5 X 6 = m) 5 X 7 = o) 5 X 8 = q) 5 X 9 = s) 5 X 10 = b) 10 X 1 = d) 10 X 2 = f) 10 X 3 = h) 10 X 4 = j) 10 X 5 = l) 10 X 6 = n) 10 X 7 = p) 10 X 8 = r) 10 X 9 = t) 10 X 10 = E CA AC EA AA AM AP 3) Look at all the answers to the five times tables. Complete the statement below which describes the number in the ones column. The number in the ones column for five times table answers must be either a or a 4) How do you know immediately that 47 is not on your five times tables?

31 USING IMAGING: 5) Look at the table on the previous page. Notice how the answer to 10 X 2 is twice the size as the answer to 5 X 2. Are all the 5 X table answers half the size of the 10 X table answers? 6) The box below shows 10 X 3 = 30. Cross out groups so that it shows 5 X 3 = 15. + + + + + + + + + Is this statement true or false? 7) To change 10 X 3 = 30 into 5 X 3 = 15 I had to cross out half the circles. 8) Question a) 5 X 1 = Row answer can be found in Row 3 Row Table b) 5 X 2 = c) 5 X 3 = d) 5 X 4 = e) 5 X 5 = f) 5 X 6 = g) 5 X 7 = h) 5 X 8 = 1 50 8 15 12 54 37 2 7 1 2 32 21 39 31 51 56 100 35 16 3 100 5 43 8 47 32 12 19 0 4 34 52 21 18 72 12 11 30 16 5 37 10 21 43 39 3 21 4 84 6 47 54 63 11 31 46 51 6 7 7 16 2 20 54 37 23 21 45 9 8 15 33 41 56 72 8 14 25 28 9 17 9 2 34 6 40 12 32 43 i) 5 X 9 = j) 5 X 10 = NUMBER PROPERTIES: 9) Sophie wrote her eight spelling words out five times each. How many words did Sophie write? 10) Ten people put one of their hands on the ground. How many fingers are touching the ground in total? 11) Tim has to do the dishes five times a week. It takes him three minutes to do the dishes. How many minutes in total does he spend doing the dishes each week?

32 MULTIPLES OF 100 I am learning my multiples of 100 that add to 1000. PRIOR KNOWLEDGE: 1) Circle all the numbers below that are multiples of one hundred. 132 298 513 756 877 300 212 97 1000 308 100 946 356 700 476 698 212 567 7 631 598 703 200 63 798 145 912 600 304 801 414 45 56 254 800 95 882 723 81 500 400 621 835 89 991 314 900 189 237 446 USING MATERIALS: 2) Complete the table by drawing counters and filling in the blanks. The first row has been done for you. Question With counters a) 200 + 800 = 1000 100 100 + 100 100 100 100 100 100 100 100 E CA AC EA AA AM AP b) 900 +. = 1000 100 100 100 100 100 100 100 100 100 +. c) 500 +. = 1000 100 100 100 100 100 + d) 700 +. = 1000 e) 300 +. = 1000 f) 400 +. = 1000 g) 100 +. = 1000 h) 600 +. = 1000 i) 800 +. = 1000

33 USING IMAGING: 3) Complete the table below. Spot the pattern and use this to answer the addition questions to one thousand. Addition to 10 Addition to 100 Addition to 1000 a) 6 + = 10 60 + = 100 600 + = 1000 b) 2 +.. = 10 20 +.. = 100 200 +.. = 1000 c) 8 +.. = 10 80 +.. = 100 800 +.. = 1000 d) 1 + = 10 10 + = 100 100 + = 1000 e) 9 +.. = 10 90 +.. = 100 900 +.. = 1000 f) 3 +. = 10 30 +. = 100 300 +. = 1000 g) 5 +. = 10 50 +. = 100 500 +. = 1000 h) 7 +. = 10 70 +. = 100 700 +. = 1000 i) 4 +. = 10 40 +. = 100 400 +. = 1000 NUMBER PROPERTIES: 4) Grant wants to buy a new bike for $1000. He has $700 how much more does he need to save? 5) The school hall can seat 1000 people. There are only 200 people inside it at the moment. How many more people could it seat? 6) River Side Primary want to raise $1000 at their school fair. They raised $600 in the morning. How much do they need to raise in the afternoon to meet the target? 7) The Orange Juice Company packs 1000 bottles of juice a day. They have packed 400 bottles so far today. How many more bottles of juice must they pack?

34 FACTS TO TWENTY I am learning my subtraction facts to twenty. PRIOR KNOWLEDGE: 1) You should already know your addition facts to twenty and subtraction facts to ten. Complete these on the table below. Question Question Question Question a) 9 5 = f) 9 + 4 = k) 5 4 = p) 4 + 12 = b) 8 6 = g) 6 1 = l) 8 + 6 = q) 8 7 = c) 7 + 2 = h) 8 + 9 = m) 3 + 9 = r) 7 + 7 = d) 3 + 5 = i) 3 + 5 = n) 3 1 = s) 6 5 = e) 4 3 = j) 9 4 = o) 5 + 5 = t) 13 + 5 = USING MATERIALS: 2) Complete the table below. Question With counters a) 15 4 = E CA AC EA AA AM AP b) 18 3 = c) 17 5 = d) 14 3 = e) 18 6 =.. 3) Cross out counters on the tens frames below to help you answer the following questions. a) 13-3 = 10 13-7 = And 10 4 = 6 So 13 7 = b) 15-5 = 10 15-8 = And 10 3 =. So 15 8 =.

35 c) 14 5 = 14-4 =. And 10 1 =. So 14 5 = d) 12-7 = 12 -. =. And 10..=. So 12 7 =. e) 16-9 = 16 -. =. And...=. So 16 9 =. USING IMAGING: 4) Complete the table below. For some questions it may help to imagine tens frames like in the examples above. Question Question Question Question a) 16 3 = e) 15 3 = i) 12 7 = m) 13 8 = b) 15 9 = f) 16 2 = j) 16 4 = n) 14 12 = c) 18 4 = g) 19 5 = k) 15 8 = o) 15 6 = d) 13 7 = h) 15 7 = l) 13 6 = p) 19 9 = NUMBER PROPERTIES: 5) There are eighteen biscuits in a pack. The Smith family have eaten twelve of them. How many biscuits are left? 6) There are 15 players in the school rugby team. Eight of them also play rugby for a club on Saturdays. How many do not play rugby for a club on Saturdays? 7) Sue completed a test with 14 questions. She got five wrong. How many questions did she get correct? 8) Matt s mum gave him $13 to buy books for school. He spent $7 on books. How much money did he have left?

36 FOUR TIMES TABLES I am learning my four times tables. PRIOR KNOWLEDGE REQUIRED: 1) To be successful at this lesson I must be able to count in fours. Fill in the missing gaps on the table to the right. 4. 16 24.. 2) Is this statement true? For all the answers to your four times tables the number in the ones column is even. E CA AC EA AA AM AP USING MATERIALS: 3) Complete the table below to see how knowing your two times tables can help you answer your four times tables. 2 X tables 2 X table pictures 4 X tables 4 X table pictures a) + + + + 2 X 1 = 2 e) 4 X 1 =.. b) + + + + 2 X 2 = f) 4 X 2 =. c) 2 X 3 = + g) 4 X 3 =. + + + d) 2 X 4 =.. + h) 4 X 4 =. + + + Look at the answers to the two times tables and to the four times tables. Fill in the gaps below. 4) The answers to the four times tables are as big as the answer to the.. times tables e.g. 2 X 2 =. and 4 X 2 =.. 5) Complete the rest of the table below. Use the answers to the two times tables to help you answer your four times tables and the pictures to check your answers. 2 X tables 4 X tables 4 X table pictures a) 2 X 5 =. 4 X 5 =.. + + + b) 2 X 6 =.. 4 X 6 =. +.. + +

37 2 X tables 4 X tables 4 X table pictures c) 2 X 7 =. 4 X 7 =. d) 2 X 8 =. 4 X 8 =. e) 2 X 9 = 4 X 9 =. f) 2 X 10 = 4 X 10 =. USING IMAGING: 6) Using lines, match the answers and questions below. Question Answer Question Answer a) 4 X 8 = 40 f) 4 X 3 = 12 b) 4 X 2 = 4 g) 4 X 9 = 20 c) 4 X 6 = 32 h) 4 X 7 = 16 d) 4 X 1 = 24 i) 4 X 4 = 28 e) 4 X 10 = 8 j) 4 X 5 = 36 7) Highlight all the answers to your four times tables on the table below. 2 36 41 13 27 9 29 24 33 1 4 7 35 16 45 53 32 22 25 13 6 17 34 3 28 19 14 15 15 8 33 20 11 21 30 12 31 42 40 37 NUMBER PROPERTIES: Cameron practises his spelling words four nights a week for eight minutes each night. 8a) How many minutes in total does he practise his spelling words for each week? 8b) How does knowing the answer to 2 X 8 help you answer this question? Craig bought four cans of tennis balls. There are five tennis balls in each can. 9a) How many tennis balls does Craig have in total? 9b) How does knowing the answer to 2 X 5 help you answer this question? 9c) How does knowing the answer to 5 X 4 help you answer this question (4 X 5)?

38 PRIOR KNOWLEDGE REQUIRED: 1) To be successful at this lesson I must be able to count in threes. Fill in the missing gaps on the table to the right. THREE TIMES TABLES I am learning my three times tables... 6 15 18 30 2) You should now know your 2, 4, 5 and 10 times tables. Use reversibility to help you answer these questions. Known facts 3 X tables Known facts 3 X tables a) 2 X 3 = So 3 X 2 =.. c) 5 X 3 =.. So 3 X 5 =. b) 4 X 3 =. So 3 X 4 =. d) 10 X 3 =. So 3 X 10 = E CA AC EA AA AM AP USING MATERIALS: 3) Complete the table below for the remaining 3 X table facts. Equation Equation a) 3 X 1 = 1 + 1 + 1 I also know this because 1 X 3 = 3 b) 3 X 2 = 2 + 2 +.. I also know this because 2 X 3 =. c) 3 X 3 = 3 + 3 +.. d) 3 X 4 = 4 + + I also know this because 4 X 3 =. e) 3 X 5 = +. +.. I also know this because 5 X 3 =. f) 3 X 6 = +. +. g) 3 X 7 =. +.. + h) 3 X 8 = +. +. i) 3 X 9 = +. +. j) 3 X 10 = +. +. I also know this because 10 X 3 =. 4) In the box below draw counters to show what 3 X 4 looks like. 5) In the box below draw counters to show what 4 X 3 looks like. 6) Why are there the same amount of counters in each of the boxes for question 4 and 5? Hint: think about how they are grouped.

39 USING IMAGING: 7) Circle all the numbers on the table below which are answers to your three times tables (there are 10 answers). 8) Put a tick next to any circled number which is also on your five times tables. 9) Are there any answers which are on your three times tables and your four times tables? If so what are they? 3 2 6 8 17 1 0 64 44 41 47 4 8 2 64 21 52 31 16 7 71 13 5 17 80 52 31 16 56 7 16 82 62 16 22 22 25 43 27 14 8 100 56 11 85 10 62 26 8 83 97 17 24 91 35 17 17 13 1 14 53 58 15 29 9 4 30 79 18 26 8 70 12 85 34 8 77 55 2 4 28 37 94 5 7 34 56 17 17 19 NUMBER PROPERTIES: Craig is training for athletics. He runs 3 laps of the field for 4 days in a row. 10) How many laps of the field has he run? (Show the 3 X table equation which helped you answer this.) 11) How would knowing 4 X 3 help you answer the question above (3 X 4)? 12) How would knowing 3 X 2 help you answer the question above (3 X 4)? 13) Susan buys seven packs of biscuits with three biscuits in each pack. How many biscuits does she have in total?

40 SIX TIMES TABLES I am learning my six times tables. PRIOR KNOWLEDGE REQUIRED: 1) To be successful at this lesson I must be able to count in sixes. Fill in the missing gaps on the table to the right. 6.... 36 60 2) You should now know your 1, 2, 3, 4, 5 and 10 times tables. Use reversibility to help you answer these questions. Known facts 6 X tables Known facts 6 X tables a) 1 X 6 = d) So 6 X 1 =.. g) 4 X 6 =.. j) So 6 X 4 =. b) 2 x 6 =. e) So 6 X 2 =. h) 5 X 6 =. k) So 6 X 5 = c) 3 X 6 = f) So 6 X 3 = i) 10 X 6 =. l) So 6 X 10 = E CA AC EA AA AM AP USING MATERIALS: 3) Complete the table below by putting in the missing addition numbers and answers to the three times tables and six times tables. Equation using addition 6 X tables 3 X tables a) 1 + 1 + 1 + 1 + 1 + 1 6 X 1 =. 3 X 1 =. b) 2 + 2 + 2 + 2 + 2 + 2 6 X 2 =. 3 X 2 =. c) 3 + 3 + 3 + 3 + 3 + 3 6 X 3 =. 3 X 3 =. d) 4 + 4 + + + + 6 X 4 =. 3 X 4 =. e) + + + + + 6 X 5 =. 3 X 5 =. f) + + + + + 6 X 6 =. 3 X 6 =. g) + + + + + 6 X 7 =. 3 X 7 =. h) + + + + + 6 X 8 =. 3 X 8 =. i) + + + + + 6 X 9 =. 3 X 9 =. j) + + + + + 6 X 10 =. 3 X 10 =. Look at the answer to 6 X 2 = 12 and 3 X 2 = 6. See how six is half of twelve. 4) Does this pattern exist between all the other three and six times tables?

41 USING IMAGING: 5) Attach lines between the answers below and the 3 x and 6 X tables below. 3 x tables Answers 6 X tables 3 X 2 = 18 6 X 5 = 3 X 8 = 6 6 X 4 = 3 X 10 = 30 6 X 1 = 3 X 4 = 24 6 X 3 = 3 X 6 12 6 X 2 = 6) Circle all the answers to your six times tables that you can find on the table below. 7 13 31 37 54 38 52 20 30 6 48 25 71 43 37 19 39 34 9 17 59 18 3 62 27 19 55 13 8 42 33 19 82 9 43 36 40 24 41 67 37 60 12 71 23 NUMBER PROPERTIES: A baker makes eight packs of hot cross buns with six buns in each pack. 7) How many hot cross buns are there in total? (Write the 6 X table equation which shows this.) 8) How does knowing the answer to 3 X 6 help you answer the question above (6 X 6)? 9) How could knowing the answer to 5 X 6 help you answer the question above (6 X 6)? Hint: look at the table you completed in the materials stage. 10) Alex bought six packs of nails and there are nine nails in each pack. How many nails does he have in total? (Write the 6 X table equation which shows this.) 11) Zane has to paint three cubes. Each cube has six sides. How many sides does Zane have to paint?

42 EIGHT TIMES TABLES I am learning my eight times tables. PRIOR KNOWLEDGE REQUIRED: 1) To be successful at this lesson I must be able to count in eights. Fill in the missing gaps on the table to the right.... 24.. 48 2) You should now know your 1, 2, 3, 4, 5, 6 and 10 times tables. Use reversibility to help you answer these questions. Known facts 8 X tables Known facts 8 X tables a) 1 X 8 = So 8 X 1 =.. e) 5 X 8 =.. So 8 X 5 =. b) 2 X 8 =. So 8 X 2 =. f) 6 X 8 =. So 8 X 6 = c) 3 X 8 = So 8 X 3 =.. g) 10 X 8 =.. So 8 X 10 = d) 4 X 8 =.. So 8 X 4 =.. E CA AC EA AA AM AP USING MATERIALS: 3) Complete the table below by putting in the missing addition numbers and answers to the four times tables and eight times tables. Equation using addition 8 X tables 4 X tables a) 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 8 X 1 =. 4 X 1 =. b) 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 8 X 2 =. 4 X 2 =. c) 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 8 X 3 =. 4 X 3 =. 4 + 4 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + d) 8 X 4 =. 4 X 4 =. e) 8 X 5 =. 4 X 5 =. f) 8 X 6 =. 4 X 6 =. g) 8 X 7 =. 4 X 7 =. h) 8 X 8 =. 4 X 8 =. i) 8 X 9 =. 4 X 9 =.

43 + + + + + + + j) 8 X 10 =. 4 X 10 =. Look at the answer to 8 X 2 = 16 and 4 X 2 = 8. See how eight is half of sixteen. 4) Does this pattern exist between all the other four and eight times tables? USING IMAGING: 5) Attach lines between the answers below and the 4 X and 8 X tables below. 4 X tables Answers 8 X tables 4 X 8 = 16 8 X 3 = 4 X 2 = 32 8 X 1 = 4 X 6 = 8 8 X 4 = 4 X 4 = 24 8 X 5 = 4 X 10 40 8 X 2 = 6) Are any of the numbers in the answer column on the table above also answers for your two times tables? If so which ones are they? 7) Circle all the answers to your eight times tables that you can find on the table below. Hint: there are ten 14 64 69 7 76 93 75 7 8 49 51 62 31 93 16 57 68 87 53 91 43 32 13 17 30 39 73 56 4 48 63 4 40 21 71 63 66 84 47 89 72 71 50 37 17 80 24 19 43 58 NUMBER PROPERTIES: Tim went to the supermarket and bought eight bunches of bananas. There were six bananas in each bunch. 8) How many bananas does Tim have in total? (Write the eight times table equation that shows this). 9) How does knowing the answer to 4 X 6 help you answer the question above (8 X 6)? 10) How does knowing the answer to 8 X 5 help you answer the question above (8 X 6)? 11) Aroa got nine spelling words correct every Friday for eight weeks. How many spelling words in total did he get correct? 12) How does knowing the answer to 8 X 10 help you answer this question (8 X 9)?

44 SEVEN TIMES TABLES I am learning my seven times tables. PRIOR KNOWLEDGE REQUIRED: 1) To be successful at this lesson I must be able to count in sevens. Fill in the missing gaps on the table to the right. 7... 35 42.. 2) You should now know your 1, 2, 3, 4, 5, 6, 8 and 10 times tables. Use reversibility to help you answer these questions. Known facts 7 X tables Known facts 7 X tables a) 1 X 7 = So 7 X 1 =.. f) 6 X 7 =.. So 7 X 6 =. b) 2 X 7 =. So 7 X 2 =. g) 7 X 7 =. So 7 X 7 = c) 3 X 7 = So 7 X 3 =.. h) 8 X 7 =. So 7 X 8 = d) 4 X 7 =.. So 7 X 4 =.. i) 10 X 7 =.. So 7 X 10 =.. e) 5 X 7 = So 7 X 5 =.. E CA AC EA AA AM AP USING MATERIALS: 3) Complete the table below by putting in the missing addition numbers and answers to the seven times tables and corresponding multiplication fact. Equation using addition 7 X tables Corresponding multiplication fact 1 + 1 + 1 + 1 + 1 + 1 + 1 2 + 2 + 2 + 2 + 2 + 2 + 2 3 + 3 + 3 + 3 + 3 + 3 + 3 4 + 4 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + a) 7 X 1 =. b) 7 X 2 =. c) 7 X 3 =. d) 7 X 4 =. e) 7 X 5 =. f) 7 X 6 =. g) 7 X 7 =. h) 7 X 8 =. i) 7 X 9 =. j) 7 X 10 =. 1 X 7 =. Known fact 2 X 7 =. Known fact 3 X 7 =. Known fact 4 X 7 =. Known fact 5 X 7 =. Known fact 6 X 7 =. Known fact 7 X 7 =. New fact 8 X 7 =. Known fact 9 X 7 =. New fact 10 X 7 =. Known fact

45 You can see from the table on the previous page that there are actually only two new tables to learn if you now know all the others we have learnt so far. 4) What are the two new seven times tables you must learn? USING IMAGING: 5) Complete the table below by drawing lines which connect the factors and products. Question Answer Question 7 X 6 = 14 7 X 9 = 56 7 X 8 = 7 7 X 1 = 21 7 X 2 = 70 7 X 3 = 28 7 X 7 = 63 7 X 5 = 42 7 X 4 = 35 7 X 10 = 49 NUMBER PROPERTIES: 6) Amy swims seven laps of the school pool for four days in a row. In total how many laps has she swum (write the seven times table equation that shows this)? 7) How does knowing the answer to 4 X 7 help you answer this question? 8) Andrew buys nine packs of marbles. There are seven big marbles in each pack. How many marbles does he have in total (write the seven times table equation that shows this)? 9) How does knowing the answer to 7 X 9 help you answer the question above (9 X 7)?

46 NINE TIMES TABLES I am learning my nine times tables. PRIOR KNOWLEDGE REQUIRED: 1) To be successful at this lesson I must be able to count in nines. Fill in the missing gaps on the table to the right. 9... 45 54.. 2) You should now know your 1, 2, 3, 4, 5, 6, 7, 8 and 10 times tables. Use reversibility to help you answer these questions. Known facts 9 X tables Known facts 9 X tables a) 1 X 9 = So 9 X 1 =.. f) 6 x 9 =.. So 9 X 6 =. b) 2 X 9 =. So 9 X 2 =. g) 7 X 9 =. So 9 X 7 = c) 3 X 9 = So 9 X 3 =.. h) 8 X 9 =. So 9 X 8 = d) 4 X 9 =.. So 9 X 4 =.. i) 9 X 9 =.. So 9 X 9 =.. e) 5 X 9 = So 9 X 5 =.. j) 9 X 10 =.. So 9 X 10 =. E CA AC EA AA AM AP USING MATERIALS: 3) Complete the table below by putting in the missing addition numbers and answers to the nine times tables and three times tables. Equation using addition 9 X tables 3 X tables 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 a) 9 X 1 =. 3 X 1 =. 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 b) 9 X 2 =. 3 X 2 =. 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 c) 9 X 3 =. 3 X 3 =. 4 + 4 + + + + + + + d) 9 X 4 =. 3 X 4 =. + + + + + + + + e) 9 X 5 =. 3 X 5 =. + + + + + + + + f) 9 X 6 =. 3 X 6 =. + + + + + + + + g) 9 X 7 =. 3 X 7 =. + + + + + + + + h) 9 X 8 =. 3 X 8 =. + + + + + + + + i) 9 X 9 =. 3 X 9 =. + + + + + + + + j) 9 X 10 =. 3 X 10 =. Look at the answer to 9 X 2 = 18 and 3 X 2 = 6. See how 18 is three times as big as 6. 4) Does this pattern exist between all the other three and nine times tables?

47 USING IMAGING: 5) Draw lines matching the questions and answers. Question Answer Question 9 X 8 = 18 9 X 3 = 54 9 X 2 = 72 9 x 9 = 81 9 X 7 = 90 9 X 4 = 9 9 X 1 = 27 9 X 10 = 45 9 X 5 = 63 9 X 6 = 36 NUMBER PROPERTIES: 6) Shaun buys nine boxes with two golf balls in each bag. How many golf balls does he have? (Write the nine times table equation that will help you solve this.) 7) How does knowing 2 X 9 help you answer the question above (9 X 2)? 8) How does knowing the answer to 3 X 2 help you answer the question above (9 X 2)? 9) Nine different schools have sent four students to a maths competition. How many students in total are at the maths competition? 10) How does knowing the answer to 4 X 9 help you answer this question (9 X 4)? 11) How does knowing the answer to 10 X 4 help you answer the question above (9 X 4)?

48 MULTIPLICATION WITH TENS, HUNDREDS AND THOUSANDS I am learning my multiplication basic facts with tens, hundreds and thousands. PRIOR KNOWLEDGE: 1) You should already know your basic facts with tens from earlier activity sheets. Complete the table below. Question Answer Question Answer a) 2 X 10 = f) 10 X 10 = b) 5 X 10 = g) 4 X 10 = c) 8 X 10 = h) 9 X 10 = d) 3 X 10 = i) 1 X 10 = e) 7 X 10 = j) 6 X 10 = USING MATERIALS: 2) Complete the table below. Question With counters a) E CA AC EA AA AM AP 8 X 100 = b) 2 X 100 = c) 5 X 100 = d) 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 9 X 100 = e) 7 X 100 = 3) Describe any pattern you can see when you multiply a number by 100. 4) Complete the table below. Question With counters a) 3 X 1000 = b) 9 X 1000 = 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000

49 Question c) 4 X 1000 = d) With counters 1000 1000 1000 1000 7 X 1000 = e) 5 X 1000 = 5) Describe any pattern you can see when you multiply a number by 1000. USING IMAGING: 6) Complete the table below. Basic fact X 100 Basic fact X 1000 Basic fact X 100 Basic fact X 1000 a) 3 X 100 =. f) 3 X 1000 =. k) 5 X 100 =. p) 5 X 1000 =. b) 7 X 100 =. g) 7 X 1000 =. l) 1 X 100 =. q) 1 X 1000 =. c) 2 X 100 =. h) 2 X 1000 =. m) 8 X 100 =. r) 8 X 1000 =. d) 9 X 100 =. i) 9 X 1000 =. n) 4 X 100 =. s) 4 X 1000 =. e) 6 X 100 =. j) 6 X 1000 =. o) 10 X 100 =. t) 10 X 1000 =. NUMBER PROPERTIES: 7) Tim buys 4 boxes with 100 staples in each box. How many staples does he have? 8) There are six doors into a sports stadium. One thousand people come in through each door. How many people have entered the sports stadium? 9) A music company has a machine that makes 100 C.D s an hour. They run the machine for eight hours a day. How many C.D s do they make in a day? 10) The music company buys a newer and bigger machine. It can now make 1000 C.D s an hour. They still run it for eight hours a day. How many C.D s do they make in a day?

50 DIVISION FACTS I am learning my division basic facts up to my ten times tables. PRIOR KNOWLEDGE: 1) To be successful at this activity sheet you must know all your times tables. Complete the table below. Question Question Question Question a) 2 X 4 = b) 5 X 6 = c) 7 X 4 = d) 8 X 9 = e) 9 X 4 = f) 4 X 3 = g) 6 X 8 = h) 2 X 8 = i) 7 X 2 = j) 5 X 3 = k) 8 X 5 = l) 3 X 9 = m) 9 X 9 = n) 6 X 2 = o) 4 X 4 = p) 3 X 5 = q) 7 X 6 = r) 5 X 9 = s) 8 X 3 = t) 6 X 9 = E CA AC EA AA AM AP USING MATERIALS: 2) Remember that the division sign ( ) means shared between. Complete the table below by sharing the numbers between the containers given. Equation Shared between containers a) 15 3 = 5 5 5 15 3 = Means fifteen shared into three groups. b) 25 5 =.. 25 5 = Means twenty five shared into five groups. c) 32 8 =.. 32 8 = Means thirty two shared into groups. d) 63 7 =. 63 7 = Means shared into.. groups. e) 42 6 =. 42 6 = Means shared into.. groups.

51 USING IMAGING: 3) Your multiplication skills can help you answer division questions. Complete the table below by drawing lines between the answers and multiplication and division questions. The first one has been done for you. Multiplication Answers Division 7 X. = 21 2 10 2 =.. 2 X.. = 10 8 8 4 = 9 X.. = 63 3 21 7 =.. 4 X = 8 7 24 3 =. 3 x.. = 24 5 63 9 =.. 4) Complete the table below by writing the multiplication fact that will help you answer the division question as well as the division answer. Multiplication fact Division fact What multiplication Division fact questions will help you here? a) 6 X 2 =. 12 6 =. g) 12 3 =. b) 5 X 3 =. 15 3 =. h) 16 4 =. c) 9 X 6 =. 54 6 =. i) 56 7 =. d) 3 X 7 =. 21 7 =. j) 72 8 =. e) 7 X 4 =. 28 4 =. k) 25 5 =. f) 6 X 3 =. 18 3 =. l) 15 3 =. NUMBER PROPERTIES: 5) Forty two people came to a restaurant. There are only six tables. How many people must they fit around each table? 6) A soccer coach must share twenty one pieces of orange between seven players. How many pieces of orange should each person get? 7) A teacher must split thirty two people into four teams. How many people should be in each team? 8) A machine makes twenty four tennis balls and packs them evenly between six cans. How many tennis balls are in each can?

52 FRACTIONS, DECIMALS AND PERCENTAGES 1 I am learning to convert fractions to decimals to percentages and vice versa for halves, quarters, fifths and tenths PRIOR KNOWLEDGE: 1) To be successful at this activity sheet you must be able to recognise halves, quarters, fifths and tenths. Use lines to match the fractions and pictures on the table below. Picture Fraction Picture Fraction 4 1 a) 10 2 d) b) 1 e) 9 4 10 c) 1 f) 2 4 5 E CA AC EA AA AM AP USING MATERIALS: 2) Complete the table below. Questions Hundreds board Questions Hundreds board a) Shade in 10 6 of the squares to the right. Hint: shade rows across the page. b) What fraction of the table have you shaded?? Hint 100 c) What percentage is this? d) Shade in 2 1 of the squares to the right. e) What fraction of the table have you shaded?? Hint 100 f) What percentage is this? g) Shade in 5 3 of the squares to the right. Hint: Use the shaded and non-shaded boxes to help you identify fifths. h) What fraction of the table have you shaded?? Hint 100 i) What percentage is this? j) Shade in 25 of the squares to the right. k) What fraction of the table have you shaded? Hint 4? l) What percentage is this?

53 3) Complete the table below. Question 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 a) Shade in 2 1 of the blocks above. b) How much have you shaded (using decimals)? 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 c) Shade in 10 7 of the blocks above. d) How much have you shaded (using decimals)? Question 0.1 0.3 0.5 0.7 0.9 0.2 0.4 0.6 0.8 1.0 e) Shade in 5 4 of the blocks above. Hint: The table above has been organised into fifths to help you do this. f) How much have you shaded (using decimals)? 0.1 0.3 0.5 0.7 0.9 0.2 0.4 0.6 0.8 1.0 g) Shade in 5 5 of the blocks above. h) How much have you shaded (using decimals)? USING IMAGING: 4) Use lines to match the fractions, decimals and percentages on the table below. Fractions Decimals Percentages 1 0.3 30% 4 3 0.8 25% 10 4 0.25 50% 5 1 0.5 80% 2 NUMBER PROPERTIES: There are ten people in the library. Four are reading fiction books and six are reading non-fiction books. 5) What fraction of the people are reading fiction books? 6) What percentage of people are reading non-fiction books? 0.75 of a chocolate bar has been eaten. 7) What fraction of the chocolate bar has been eaten? 8) What percentage of the chocolate bar has been eaten?

54 DIVISIBILITY RULE FOR 2, 5 AND 10 I am learning the divisibility rules for twos, fives and tens. PRIOR KNOWLEDGE: 1) To be successful at this activity sheet you must know all your twos, fives and ten times tables. Complete the table below. Questions Questions Questions Questions a) 10 X 2 = f) 5 X 7 = k) 2 X 5 = p) 10 X 4 = b) 2 X 7 = g) 5 X 5 = l) 5 X 8 = q) 2 X 6 = c) 5 X 8 = h) 2 X 3 = m) 10 X 7 = r) 5 X 6 = d) 10 X 5 = i) 5 X 3 = n) 2 X 2 = s) 10 X 3 = e) 2 X 9 = j) 10 X 9 = o) 5 X 4 = t) 2 X 4 = USING MATERIALS: 2) Circle all the multiples of two on the table below. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 3) Are all the multiples of two even or odd numbers? E CA AC EA AA AM AP 4) Put a tick in every box which has a multiple of five in it. 5) Complete this sentence. Every multiple of five either ends in a.. or a.. 6) Complete the table below by writing the answer and whether each number is odd or even. The first two have been done for you. a) 5 X 1 = 5 b) 5 X 2 = 10 c) 5 X 3 =. d) 5 X 4 =.. Odd X Odd = Odd Odd X Even = Even Odd X Odd = Odd X Even = e) 5 X 5 = f) 5 X 6 =. g) 5 X 7 =. h) 5 X 8 =.. Odd X Odd = Odd X Even = Odd X Odd = Odd X Even = 7) Complete this sentence. Five times an. number will always give an answer where 5 is in the ones column. Five times an.. number will always give an answer where 0 is in the ones column.

55 8) Write down all the multiples of ten between 1 and 100 in the boxes below. 9) Circle the correct word in the brackets below. Whenever a number is multiplied by ten the answer is always an (even/ odd) number. 10) Complete the following sentence. Whenever a number is multiplied by ten the number in the ones column must always be a. USING IMAGING: 11) If a number is a multiple of ten does it have to be a multiple of five also? 12) If a number is a multiple of five does it have to be a multiple of ten also? 13) If a number is a multiple of ten does it have to be a multiple of two also? NUMBER PROPERTIES: A school has 200 exercise books. 14) Can they pack them evenly into two cupboards? How do you know? 15) Can they pack them evenly into ten cupboards? How do you know? 16) Can they pack them evenly into five cupboards? How do you know? A supermarket has 75 cans of fruit salad. 17) Can they pack them evenly onto two shelves? How do you know? 18) Can they pack them evenly onto ten shelves? How do you know? 19) Can they pack them evenly onto five shelves? How do you know? 20) If they only wanted to put five cans on each shelf would they need an even number or an odd number of shelves? How do you know?

56 DIVISIBILITY RULE FOR 3, 6 AND 9 I am learning the divisibility rules for threes, sixes and nines. PRIOR KNOWLEDGE: 1) To be successful at this activity sheet you must know all your threes, sixes and nine times tables. Complete the table below. Questions Questions Questions Questions a) 3 X 4 = f) 9 X 9 = k) 6 X 2 = p) 3 X 2 = b) 6 X 5 = g) 3 X 6 = l) 9 X 7 = q) 6 X 4 = c) 9 X 2 = h) 6 X 7 = m) 3 X 5 = r) 9 X 8 = d) 3 X 9 = i) 9 X 5 = n) 6 X 9 = s) 3 X 8 = e) 6 X 3 = j) 3 X 3 = o) 9 X 4 = t) 9 X 6 = E CA AC EA AA AM AP USING MATERIALS: 2) Circle all the multiples of three on the table below. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 3) Put a tick next to every number that is a multiple of six. 4) Is this statement true. Every multiple of 6 is also a multiple of 3? 5) Put a cross next to every number that is a multiple of nine. 6) Is this statement true. Every multiple of 9 is also a multiple of 3? 7) Is this statement true. Every multiple of 6 is also a multiple of 9? USING IMAGING: 8) The answers to your three times tables are written below. Add the digits. The first line has been done for you. 3 6 9 12 15 3 + 0 = 3 6 + 0 = 6 9 + 0 = 9 1 + 2 = 3 1 + 5 = 6 18 21 24 27 30 a) 1 + 8 = b) 2 + 1 =. c). +. =. d).. +. =. e) +. =. 9) Is this statement true or false? When you added the digits together you got a number which was a multiple of three.

57 You can use this pattern to find out whether larger numbers are multiples of three e.g. 312 you add the numbers (3 + 1 + 2 = 6). Since 6 is a multiple of three 312 is a multiple of three. 782 you add the numbers (7 + 8 + 2 = 17). Since 17 is not a multiple of three 782 is not a multiple of three. 10) Work out whether the numbers below are multiples of three. a) 423 b) 318 c) 244 d) 371 11) Write down all the multiples of your six times tables and then add the digits. The first line has been done for you. 6 12 18 24 30 6 + 0 = 6 1 + 2 = 3 1 + 8 = 9 2 + 4 = 6 3 + 0 = 3 36 42 48 54 60 a) 3 + 6 = b).. +. =. c).. +. = d). +. = e). +. = 12) Is this statement true or false? When you added the digits together you got a number which was a multiple of three. If a number is divisible by two and three it is also divisible by six. 13) Write down all the multiples of your nine times tables and then add the digits. The first line has been done for you. 9 18 27 36 45 9 + 0 = 9 1 + 8 = 9 2 + 7 = 9 3 + 6 = 4 + 5 = 54 63 72 81 90 a) 5 + 4 = b).. +. = c).. +. = d).. +. = e).. +. = 14) Is this statement true or false? When you added the digits together you got a number which was a multiple of nine. You can use this pattern to find out whether larger numbers are multiples of nine e.g. 819 you add the numbers (8 + 1 + 9 = 18). Since 18 is a multiple of nine, 819 is a multiple of nine. 347 you add the numbers (3 + 4 + 7 = 14). Since 14 is not a multiple of nine 347 is not a multiple of nine. 15) Work out whether the numbers below are multiples of nine. a) 288 b) 423 c) 314 d) 774 NUMBER PROPERTIES: A fizzy drink company has 144 cans of fizzy drink to pack. 16a) Can it pack it evenly into three packs? 16b) Can it pack it evenly into nine packs? 17) Sue has 74 balls of wool. How does she know straight away that she can t pack them evenly into 6 bags?

58 DIVISIBILITY RULE FOR 4 AND 8 I am learning the divisibility rules for fours and eights. PRIOR KNOWLEDGE: 1) To be successful at this activity sheet you must know all your four and eight times tables. Complete the table below. Questions Questions Questions Questions a) 8 X 2 = e) 8 X 7 = i) 8 X 5 = m) 8 X 4 = b) 4 X 5 = f) 4 X 2 = j) 4 X 7 = n) 4 X 6 = c) 8 X 9 = g) 8 X 3 = k) 8 X 8 = o) 8 X 6 = d) 4 X 9 = h) 4 X 4 = l) 4 X 3 = p) 4 X 8 = USING MATERIALS: 2) Circle all the multiples of four on the table below. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 3) Are all the numbers you circled also multiples of two? E CA AC EA AA AM AP 4) Put a tick next to all the numbers which are a multiple of eight. 5) Are all the numbers you ticked also multiples of four? 6) Are all the numbers you ticked also multiples of two? USING IMAGING: 7) To help divide a large number you can break it into smaller pieces. e.g. to work out 16 2 we can split the 16 into two eights and work out 8 2 = 4 and 8 2 = 4. Add the fours together and you get 8 which is the answer. We could also split 16 2 into 10 2 =. and 6 2 =.. when you add the five and the three together you get. which is the answer. Because we know 4 goes into 100 (25 times) we only need to look at the last two numbers to see whether four will go into them. If they do then the whole number is divisible by four.