Maths Year 3 & 4

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Maths Year 3 & 4

PLAYER’S NAME: Lesson 1 - Place Value

Objective: To recognise the value of each digit, up to a four-digit number.

Each digit in a number is worth a di erent value.

How much are the following numbers worth? 1 4 7 8 9

How about these numbers? 12 24 36 134 221

Each digit has a di erent value depending on its place in the number.

Welcome to your Saints number TENS ones Foundation Premier League 64 60 4 Primary Stars maths book. 22 20 2

You are going to learn about a variety of dierent maths skills that Let’s try with some bigger numbers… you can use in classroom. Each week you will work on a new skill with your Primary Stars Coach, they are here to help you so ask number HUNdreds TENS ones them loads of questions! 119 100 10 9 You are going to be learn about: 234 200 30 4 Place value Rounding numbers And even bigger…

Addition number THOUSANDS HUNdreds TENS ones Subtraction 1452 1000 400 50 2 Multiplication Division 3198 3000 100 90 8 Fractions and decimals Measurement Geometry Statistics

1 Lesson 1 - Place Value

Objective: To recognise the value of each digit, up to a four-digit number.

Each digit in a number is worth a di erent value.

How much are the following numbers worth? 1 4 7 8 9

How about these numbers? 12 24 36 134 221

Each digit has a di erent value depending on its place in the number.

Welcome to your Saints number TENS ones Foundation Premier League 64 60 4 Primary Stars maths book. 22 20 2

Addition number THOUSANDS HUNdreds TENS ones Subtraction 1452 1000 400 50 2 Multiplication Division 3198 3000 100 90 8 Fractions and decimals Measurement Geometry Statistics

1 Below are the number of Southampton FC home shirts sold at each match last season. Can you show how many thousands, hundreds, tens and ones Lesson 2 - Rounding Numbers there are for each ﬁxture? Objective: Number Fixture of shirts Thousands hundreds tens ones To round numbers to the nearest 10, 100 and 1000 sold

Man Utd 45 By rounding numbers, we make it easier to do calculations. The results are less accurate, but the numbers are easier to use. Everton FC 185

Liverpool FC 2545 To round to the nearest 10, you need to look at the ones column. If the ones column is less than 5, the number is rounded down. If the ones Brighton & 1168 Hove Albion column is 5 or above, the number is rounded up. Manchester City FC 1236 25 Leicester 22 27 City FC 6965 Newcastle United FC 8555 20 21 22 23 24 25 26 27 28 29 30 Tottenham Hotspur FC 8333 To round to the nearest 100, you need to look at the tens column. If the tens column is less than 50, the number is rounded down. If the tens column is 50 or above, the number is rounded up

154 134 177

100 110 120 130 140 150 160 170 180 190 200

To round to the nearest 1000, you need to look at the hundreds column. If the hundreds column is less than 500 the number is rounded down. If the hundreds column is 500 or above the number is rounded up.

Can you place the number of shirts sold in order smallest to largest for the 1501 matches against Manchester City, Newcastle United FC, Brighton and Hove 1245 1801 Albion and Tottenham Hotspur FC? 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 smallest LARGEST

2 3 Below are the number of Southampton FC home shirts sold at each match last season. Can you show how many thousands, hundreds, tens and ones Lesson 2 - Rounding Numbers there are for each ﬁxture? Objective: Number Fixture of shirts Thousands hundreds tens ones To round numbers to the nearest 10, 100 and 1000 sold

Man Utd 45 By rounding numbers, we make it easier to do calculations. The results are less accurate, but the numbers are easier to use. Everton FC 185

154 134 177

100 110 120 130 140 150 160 170 180 190 200

2 3 Lesson 3 - Addition Below are the number of times some of the Southampton FC players have played for the club. Can you round the number of appearances to the nearest 10, 100 or 1000? Circle the answer on each number line. Objective: Use the column method to add two numbers together

TENS ones

To the nearest 10 10 3 Alex McCarthy – 95 appearances 50 6 To add two numbers together using the column method, you ﬁrst need to 90 91 92 93 94 95 96 97 98 99 100 line up the values of the numbers. If our calculation is 13 + 56, it would Yan Valery – 36 appearances look like this.

TENS ones 30 31 32 33 34 35 36 37 38 39 40 10 3 + 50 6 To the nearest 100 60 9 Oriol Romeu – 181 appearances Now you can start adding the numbers together. 100 110 120 130 140 150 160 170 180 190 200 You start by adding the ones column together, putting the answer below that column. Then add the tens together and write the answer under Nathan Redmond – 163 appearances that column.

100 110 120 130 140 150 160 170 180 190 200 TENS ones

30 8 40 4 To the nearest 1000 + Matt Le Tissier – 540 appearances 2 Exchange 10 ones for 1 ten. 0 100 200 300 400 500 600 700 800 900 1000 Kelvin Davies – 301 appearances Sometimes when two numbers are added together in the ones column and the answer is over 10. We exchange ten ones for one ten.

0 100 200 300 400 500 600 700 800 900 1000

4 5 Lesson 3 - Addition Below are the number of times some of the Southampton FC players have played for the club. Can you round the number of appearances to the nearest 10, 100 or 1000? Circle the answer on each number line. Objective: Use the column method to add two numbers together

TENS ones

100 110 120 130 140 150 160 170 180 190 200 TENS ones

0 100 200 300 400 500 600 700 800 900 1000

4 5 TENS ones Lesson 4 - Subtraction Can you ﬁnd the answer for 32 + 37? + Objective: Use the column method to subtract two numbers. TENS ones

Below are some of the Southampton FC players transfer values. 70 6 Can you add the values together to ﬁnd the total? 20 4

Shane Long is worth £75 Che Adams is worth £50 To subtract two numbers using the column method, you ﬁrst need to line Danny Ings is worth £23 Ryan Bertrand is worth £23 up the values of the digits. If our calculation is 76 – 24, it would look like this. Remember the bigger number always goes ﬁrst in subtraction. TENS ones TENS ones

TENS ones + + 70 6 - 20 4 50 2 Nathan Redmond is worth £29 Stuart Armstrong is worth £124 Jan Bednarek is worth £64 Kyle Walker-Peters is worth £55 Now you can start subtracting the numbers. You start by subtracting the ones column, putting the answer TENS ones HUNDREDS TENS ones below that column. Then subtract the tens, writing the answer under each column.

+ + Can you ﬁnd the answer for 95 - 41?

TENS ones HUNDREDS TENS ones - James Ward-Prowse is worth £278 Michael Obafemi is worth £423 +

6 7 TENS ones Lesson 4 - Subtraction Can you ﬁnd the answer for 32 + 37? + Objective: Use the column method to subtract two numbers. TENS ones

Below are some of the Southampton FC players transfer values. 70 6 Can you add the values together to ﬁnd the total? 20 4

+ + Can you ﬁnd the answer for 95 - 41?

TENS ones HUNDREDS TENS ones - James Ward-Prowse is worth £278 Michael Obafemi is worth £423 +

6 7 TENS ones Can you ﬁnd the answer for 69 – 64? Lesson 5 - Multiplication - Objective: To be able to multiply two numbers together. When multiplying two numbers together you are calculating how many of a number you have. If our calculation is 3 x 4, we are trying to ﬁnd out how much 4 lots of 3 is. Using the bar model below we can work this out easily. Each match day at St Mary’s Stadium hundreds of supporters visit the club shop to buy all kinds of Southampton FC items. Can you subtract the number of items bought from the total the shop had? 3 3 33

Total scarves: 87 Total books: 49 Total scarves bought: 45 Total books bought: 39 As we are multiplying by 4, we need to split the box in to 4. Each box is worth 3, so we write that in each box. TENS ones TENS ones Now we add 3 together 4 times (3+3+3+3=) to ﬁnd the answer, 12.

Can you ﬁnd the answer for 5 x 3? Answer: - -

Total keyrings: 78 Total water bottles: 741 Each player at Southampton FC have their own number on the back of their shirt. Total keyrings bought: 52 Total water bottles bought: 321

TENS ones HUNDREDS TENS ones - -

HUNDREDS TENS ones

Total umbrellas: 488 Total umbrellas bought: 166 -

8 9 TENS ones Can you ﬁnd the answer for 69 – 64? Lesson 5 - Multiplication - Objective: To be able to multiply two numbers together. When multiplying two numbers together you are calculating how many of a number you have. If our calculation is 3 x 4, we are trying to ﬁnd out how much 4 lots of 3 is. Using the bar model below we can work this out easily. Each match day at St Mary’s Stadium hundreds of supporters visit the club shop to buy all kinds of Southampton FC items. Can you subtract the number of items bought from the total the shop had? 3 3 33

Can you ﬁnd the answer for 5 x 3? Answer: - -

Total keyrings: 78 Total water bottles: 741 Each player at Southampton FC have their own number on the back of their shirt. Total keyrings bought: 52 Total water bottles bought: 321

TENS ones HUNDREDS TENS ones - -

HUNDREDS TENS ones

Total umbrellas: 488 Total umbrellas bought: 166 -

8 9 Lesson 6 - Division Can you multiply the shirt numbers together to ﬁnd the answer?

EPHEN ERGAA ST S VEST RD Objective: To be able to divide two numbers together. erga 5 4 ...... Division is splitting a number into parts or groups. x = For example, 12 ÷ 3 is splitting 12 up in to 3 equal parts. Can you multiply the shirt numbers together to ﬁnd the answer? To do division you are going to use the bar model.

BERTRAND DJENEPO The question is 15 ÷ 5. First you draw a bar that represents the total we have, 15. enep erga ...... Next, draw a bar underneath and split it into the number you are dividing by, in this case 3 12 we need 5 boxes. x == Can you multiply the shirt numbers together to ﬁnd the answer? 15

OEd LONG eROnMepEU ...... erga ...... 7 xx 6 = ...... x = Once the this is done you need to equally share the 15 across the 5 boxes. = Draw a dot in each box one at a time, counting up until you get to 15. Can you multiply the shirt numbers together to ﬁnd the answer? ngs OEd ALKER-PETER INGS ...... How many dots are inside one of the boxes? ...... W S enep ...... erga ...... x ...... 2 x 9 = Try answering this calculation, 10 ÷ 2 = x == Can you multiply the shirt numbersDAM together to ﬁnd the answer? ngs OEd ...... CCARTHY ADAMS ...... M enep ...... x erga ...... x = ...... 1 x 10 == DAM ngs OEd ...... enep ...... 10 ...... 11 x = ...... xx =

DAM ngs ...... OEd ...... x 10 ...... x =

DAM ngs ...... x 10=

DAM ...... x 10=

10 Lesson 6 - Division Can you multiply the shirt numbers together to ﬁnd the answer?

Objective: To be able to divide two numbers together. erga ...... Division is splitting a number into parts or groups. x = For example, 12 ÷ 3 is splitting 12 up in to 3 equal parts. Can you multiply the shirt numbers together to ﬁnd the answer? To do division you are going to use the bar model.

The question is 15 ÷ 5. First you draw a bar that represents the total we have, 15. enep erga ...... Next, draw a bar underneath and split it into the number you are dividing by, in this case x == we need 5 boxes. Can you multiply the shirt numbers together to ﬁnd the answer? 15

OEd enep ...... erga ...... xx = ...... x = Once the this is done you need to equally share the 15 across the 5 boxes. = Draw a dot in each box one at a time, counting up until you get to 15. Can you multiply the shirt numbers together to ﬁnd the answer? ngs OEd ...... How many dots are inside one of the boxes? ...... enep ...... erga ...... x ...... x = Try answering this calculation, 10 ÷ 2 = x == Can you multiply the shirt numbersDAM together to ﬁnd the answer? ngs ...... OEd ...... enep ...... x erga ...... x = ...... x == DAM ngs OEd ...... enep ...... 10 ...... 11 x = ...... xx =

DAM ngs ...... OEd ...... x 10 ...... x =

DAM ngs ...... x 10=

DAM ...... x 10=

10 There are 1527 people that work at Southampton FC that do wide variety of dierent jobs. Some of our sta have to buy items to do their job, can you Lesson 7 - Fractions and Decimals help them ﬁnd the original price of each item? Objective: Add and subtract fractions with the same denominator Ralph Hasenhüttl has paid £20 for 4 whistles for himself and his team Recognise fractions including ½, ¼ and ¾ (20 ÷ 4). How much does each whistle cost? A fraction has two parts to it, the numerator and the denominator.

The numerator is 1 always the top number The denominator is 4 always the bottom number Answer: ......

Your Saints Foundation Coach has paid £16 for 2 trophies for the Premier League When adding and subtracting fractions, the most important thing to Primary Stars tournament (16 ÷ 2). How much does each trophy cost? remember is that the denominator always stays the same, you only need to add or subtract the numerators. 3 1 3+1 4 Addition 6 + 6 = 6 = 6 Answer: ......

The chef at the Stadium has paid £27 for 3 boxes of apples. How much does each box of apples cost? 3 1 3-1 2 Subtraction 4 - 4 = 4 = 4

Answer the questions using the same rules shown above.

Answer: ...... 5 2 8 4 The Saints Store Manager has paid £35 for 5 hats to sell in the store. How much does each hat cost? 8 - 8 = 10 - 10 = 3 1 20 8 5 - 5 = 25 - 25 = Answer: ......

12 13 There are 1527 people that work at Southampton FC that do wide variety of dierent jobs. Some of our sta have to buy items to do their job, can you Lesson 7 - Fractions and Decimals help them ﬁnd the original price of each item? Objective: Add and subtract fractions with the same denominator Ralph Hasenhüttl has paid £20 for 4 whistles for himself and his team Recognise fractions including ½, ¼ and ¾ (20 ÷ 4). How much does each whistle cost? A fraction has two parts to it, the numerator and the denominator.

The numerator is 1 always the top number The denominator is 4 always the bottom number Answer: ......

The chef at the Stadium has paid £27 for 3 boxes of apples. How much does each box of apples cost? 3 1 3-1 2 Subtraction 4 - 4 = 4 = 4

Answer the questions using the same rules shown above.

Answer: ...... 5 2 8 4 The Saints Store Manager has paid £35 for 5 hats to sell in the store. How much does each hat cost? 8 - 8 = 10 - 10 = 3 1 20 8 5 - 5 = 25 - 25 = Answer: ......

12 13 1 3 1 8 Lesson 8 - Measurement

6 + 6 = 9 + 9 = Objective: Measure, add and subtract lengths in centimetres (cm) and millimetres (mm) 3 6 14 8 Understanding measurement is important for a number of reasons. Being able to 13 + 13 = 30 + 30 = measure means you can tell how tall you are, how much you weigh and much more.

corner Being able to recognise fractions is very important because they tell you how much goal line flag of a whole you need, have or want. Can you match up the footballs below with the correct fractions? What fraction of the footballs are Red?

1 penalty spot 18 yard box 1 1 touch line 4 halfway line 0

4 centre spot centre circle 1 2 penalty arc 3 4 6 yard box corner arc

14 15 1 3 1 8 Lesson 8 - Measurement

1 penalty spot 18 yard box 1

1 8 touch line 4 halfway line 0

4 centre spot centre circle 1 2 penalty arc 3 4 6 yard box corner arc

14 15 Rules for measurement: Lesson 9 - Geometry

Centimetres are bigger than millimetres. There are 10 millimetres in 1 centimetre Objective: Identify and plot coordinates on a grid (look at the ruler, can you find the centimetres and the millimetres?) The ruler will say 0cm or mm, this is where you measure from. For example, if you were Coordinates are numbers which determine the position of a point or a shape measuring from the corner flag, the 0 on the ruler would go next to it. in a space (on map or a graph). Points are marked by how far along the X-axis Remember to put the unit of measurement after your answer, for example 5cm or 13mm. they are, and then how far up the Y-axis they are. Look at the example below. We are trying to find the top point of the triangle. On the page opposite is a picture of St Mary’s Stadium’s football pitch, with the pitch markings all labelled. Using a ruler, can you answer the measurement questions below about the pitch? 10 How long is the touch line in centimetres (cm)? ...... 9 How wide is the pitch in centimetres (cm)? ...... 8

What is the total when you subtract the 6 touch line measurement and width of the pitch? ...... 5

Y-axis 4 What is the length between the halfway line and the goal line in millimetres (mm)? ...... 3

2 What is the length between the centre spot and the penalty spot in millimetres (mm)? ...... 1 0 Add these two answers together, 0 1 2 3 4 5 6 7 8 9 10 what is the total (mm)? ...... X-axis

How long is the 18-yard box in centimetres? ...... First, go along the X-axis until you are in line with the top point, what number did you get to? Next, go up the Y-axis until you get to the top point, what number How wide is the 18-yard box in millimetres? ...... is it in line with? The coordinate would be (...... , ...... ) Which of these measurements are bigger? ......

16 17 Rules for measurement: Lesson 9 - Geometry

What is the total when you subtract the 6 touch line measurement and width of the pitch? ...... 5

Y-axis 4 What is the length between the halfway line and the goal line in millimetres (mm)? ...... 3

2 What is the length between the centre spot and the penalty spot in millimetres (mm)? ...... 1 0 Add these two answers together, 0 1 2 3 4 5 6 7 8 9 10 what is the total (mm)? ...... X-axis

16 17 Lesson 10 - Statistics

10 Objective: Interpret data from bar charts and tables 9

8 Solve sum and di erence problems using information from bar charts and tables 7 Statistics means gathering and recording information and then presenting it in a way that 6 is meaningful to others. 5 Below is a table that shows data on how many appearances, goals and assists some of the Southampton FC players got last year in the Premier League.

Y-axis 4

3 player name appearances goals assists 2

1 Jan Bednarek 25 0 1

0 alex mccarthy 12 0 0 0 1 234567 8 9 10 11 12 13 14 15 Danny Ings 24 15 3 X-axis Nathan Redmond 38 6 4

will smallbone 23 0 0 Can you identify where each of the footballs are positioned? (...... , ...... )(...... , ...... )(...... , ...... ) Which player made the most appearances? ...... Can you identify where each of the football boots are positioned? Which player scored the most goals? (...... , ...... )(...... , ...... )(...... , ...... ) ......

Can you plot 3 of your own coordinates and mark them on the grid? Which players made the least assists? ...... Write your coordinates below (...... , ...... )(...... , ...... )(...... , ...... ) What is the total number of assists for all the players? ......

Take away the number of appearances Nathan Redmond and Will Smallbone made, how many appearances are left? ......

18 19 Lesson 10 - Statistics

10 Objective: Interpret data from bar charts and tables 9

Y-axis 4

3 player name appearances goals assists 2

1 Jan Bednarek 25 0 1

0 alex mccarthy 12 0 0 0 1 234567 8 9 10 11 12 13 14 15 Danny Ings 24 15 3 X-axis Nathan Redmond 38 6 4

Take away the number of appearances Nathan Redmond and Will Smallbone made, how many appearances are left? ......

18 19 Appearances made by Southampton FC players Times tables 1-6

35 times table times table times table 30 1 2 3 25 1 x 1 = 1 1 x 2 = 2 1 x 3 = 3 layers 2 x 1 = 2 2 x 2 = 4 2 x 3 = 6 20 3 x 1 = 3 3 x 2 = 6 3 x 3 = 9

of p 15 4 x 1 = 4 4 x 2 = 8 4 x 3 = 12 5 x 1 = 5 5 x 2 = 10 5 x 3 = 15 10 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 7 x 1 = 7 7 x 2 = 14 7 x 3 = 21 number 5 8 x 1 = 8 8 x 2 = 16 8 x 3 = 24 0 9 x 1 = 9 9 x 2 = 18 9 x 3 = 27 0 0-5 6-10 11-15 16+ 10 x 1 = 10 10 x 2 = 20 10 x 3 = 30 number or appearances 11 x 1 = 11 11 x 2 = 22 11 x 3 = 33 12 x 1 = 12 12 x 2 = 24 12 x 3 = 36 The table above puts Southampton FC players into di erent categories, depending on how many appearances that they made. Can you see what each category is called? ...... times table times table times table Which category has 15 players making between a number of appearances? 4 5 6 1 x 4 = 4 1 x 5 = 5 1 x 6 = 6 ...... 2 x 4 = 8 2 x 5 = 10 2 x 6 = 12 3 x 4 = 12 3 x 5 = 15 3 x 6 = 18 Which category has the highest number of players and how many players are 4 x 4 = 16 4 x 5 = 20 4 x 6 = 24 in that category? 5 x 4 = 20 5 x 5 = 25 5 x 6 = 30 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 ...... 7 x 4 = 28 7 x 5 = 35 7 x 6 = 42 8 x 4 = 32 8 x 5 = 40 How many more players made 11 – 15 appearances than 0 – 5 appearances? 8 x 6 = 48 9 x 4 = 36 9 x 5 = 45 9 x 6 = 54 ...... 10 x 4 = 40 10 x 5 = 50 10 x 6 = 60 11 x 4 = 44 11 x 5 = 55 11 x 6 = 66 How many players in total made an appearance for Southampton FC last season? 12 x 4 = 48 12 x 5 = 60 12 x 6 = 72 ......

20 21 Appearances made by Southampton FC players Times tables 1-6

35 times table times table times table 30 1 2 3 25 1 x 1 = 1 1 x 2 = 2 1 x 3 = 3 layers 2 x 1 = 2 2 x 2 = 4 2 x 3 = 6 20 3 x 1 = 3 3 x 2 = 6 3 x 3 = 9

20 21 Times tables 7-12 WORKING OUT

789times table times table times table 1 x 7 = 7 1 x 8 = 8 1 x 9 = 9 2 x 7 = 14 2 x 8 = 16 2 x 9 = 18 3 x 7 = 21 3 x 8 = 24 3 x 9 = 27 4 x 7 = 28 4 x 8 = 32 4 x 9 = 36 5 x 7= 35 5 x 8 = 40 5 x 9 = 45 6 x 7 = 42 6 x 8 = 48 6 x 9 = 54 7 x 7 = 49 7 x 8 = 56 7 x 9 = 63 8 x 7 = 56 8 x 8 = 64 8 x 9 = 72 9 x 7 = 63 9 x 8 = 72 9 x 9 = 81 10 x 7 = 70 10 x 8 = 80 10 x 9 = 90 11 x 7 = 77 11 x 8 = 88 11 x 9 = 99 12 x 7 = 84 12 x 8 = 96 12 x 9 = 108

10 times table 11 times table 12 times table 1 x 10 = 10 1 x 11 = 11 1 x 12 = 12 2 x 10 = 20 2 x 11 = 22 2 x 12 = 24 3 x 10 = 30 3 x 11 = 33 3 x 12 = 36 4 x 10 = 40 4 x 11 = 44 4 x 12 = 48 5 x 10 = 50 5 x 11 = 55 5 x 12 = 60 6 x 10 = 60 6 x 11 = 66 6 x 12 = 72 7 x 10 = 70 7 x 11 = 77 7 x 12 = 84 8 x 10 = 80 8 x 11 = 88 8 x 12 = 96 9 x 10 = 90 9 x 11 = 99 9 x 12 = 108 10 x 10 = 100 10 x 11 = 110 10 x 12 = 120 11 x 10 = 110 11 x 11 = 121 11 x 12 = 132 12 x 10 = 120 12 x 11 = 132 12 x 12 = 144

22 23 Times tables 7-12 WORKING OUT

22 23 PUT YOUR NUMBER ON THE SHIRT!

11223 Congratulations for completing your 4567 Saints Maths Challenge 890 PUT YOUR NAME ON THE SHIRT! aaa bb cc dd eee ff gg hh iii jj kk ll mm nn ooo pp qq rr ss tt ...... uu vv ww xx yy zz premier league Primary Stars Coach Ralph Hasenhüttl PUT YOUR NUMBER ON THE SHIRT!

Congratulations for completing your Saints Maths Challenge

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