## Times Tables

Times Tables Parent Workshop January 2024 Slides

As mathematicians, we aim to be as **efficient** as possible at solving mathematical problems. Having **number facts** to hand, when calculating, is an essential part of achieving this so that we don't find ourselves trying to do too many things at once and using up that precious **working memory**. For instance, it is much easier to apply a **known calculation fact** to a **formal written method of calculation **than it is to have to work out the fact first and then apply it. Giving yourself more to do often means that you increase the likelihood of making errors.

This makes knowing your times tables particularly important and is one of the reasons for the introduction of the **Year 4 Multiplication Tables Check**, which became statutory in 2022, with on-line assessments being carried out during June. You can read more information about this here:

Many of you will be familiar with times table chanting and songs, which still have their role! However, this page will not contain examples of these. Instead, presented below are some **games ****and** **activities** that can be played to help develop multiplication fact recall. These are often more effective at developing **multiplication fact recall** as they are more **engaging** and **fun **for both child and parent.

We have also proudly adopted the 'Times Tables Rock Stars' learning platform to help your child practise their times tables at home. This was adopted after a consultation and trial period in Summer 2022, where it proved very popular. You can access this by clicking on the image below:

You can also watch an introductory video about it here:

A **parent guide** can also be accessed here.

Let us know if you know of any other great games or activities that we can add to the page! You will also find some guidance for supporting your child at home. If you would like more information on this, please feel free to contact your child's class teacher or let the office know so they can organise someone to speak with you.

Please note that, to ensure consistency across the school and with home, we ask that you present times tables so that the number to be multiplied (the multiplicand) is first, followed by the number it is multiplied by (the multiplier). For example, each of the steps of the 6 times table would be represented as 6 x *n* (6, *n* times):

6 x 0 = 0

6 x 1 = 6

6 x 2 = 12

6 x 3 = 18

6 x 4 = ....etc.

*Whilst this may be of little consequence in abstract situations, in a concrete problem it takes on a new meaning so consistency is crucial!*

The following video is also worth watching as it is a great example of how any times table can be learnt through the use of known facts, pattern and repetition:

At Bartley CE Junior, our structure for the teaching and learning of times tables is as follows:

*In Years 5 and 6, we will continue to practise times tables and rehearse important strategies and will be planned based upon needs identified through their continuing assessment on Times Tables Rock Stars. We will then focus on applying times table knowledge to more complex calculations and related mathematical areas e.g. division, algebra, fractions, ratio etc.

The objectives in the first column (Component 1) are the focus for regular retrieval practice, which will be done between 3 and 5 times a week for 5 to 10 minutes. This is to aid the development of your child's fluency of recall.

The objectives in the second column (Component 2) are the focus for the 2 dedicated multiplication lessons, each class will be completing every half term. These lessons will be much longer and will give your child the chance to more deeply explore the focus times table and their relationship with others. Key strategies will be developed and taught in these sessions.

Here are some key representations your child will be exposed to as part of their learning:

We also start off learning each new times table by recognising where they can be seen in the real world, gathering ideas about, 'What comes in...?'

Below are some suggestions for what you might look out for or come up with at home. Can you add any suggestions of your own to each times table?

There are also some great patterns and tricks that you can use for many of the times tables. Check some of these out, below:

## MATHS MOMENTS

The following games and activities are the ones that have been appearing in the 'Maths Moments' section of the school newsletter (starting Summer 2022).

**SPRING 1 2024**

**'Concentration'**

__The aim__: To identify multiplication expressions which have the same product (answer), *e.g. the expressions 8 x 3 and 2 x 12 both have a product of 24.*

__Equipment__: Playing cards with multiplication expressions. Simply create pairs of cards with different expressions that have the same product, *e.g. one card has 4 × 5 and another card has 2 × 10; one card has 6 × 4 and another card has 8 × 3, and so on. *Making these together can be a great additional opportunity to rehearse and explore key facts. Otherwise, you can download a set, here.

__How to play__:

- Shuffle the cards and spread them face down on the table.
- The first player picks two cards. If the cards have the same product, the player says the product out loud and keeps the cards.
- If the player does not get cards with a matching product, or does not say the correct product, the player returns the cards face down on the table. Then the next player takes a turn.
- Continue until all the cards are matched. The player with the most cards wins the game.

**AUTUMN 2 2023**

Just before the summer break, we shared the brilliant ‘Car Cricket’ – a great game to play on a long journey. With the Christmas holidays arriving, many of us will once again be journeying around the country to visit family and friends and so, perhaps, another game that can be played whilst travelling is in order. We present…

**'Buzz'**

__The aim__: To count to 100 without making a mistake, taking it in turns to say each number whilst identifying multiples of a particular times table.

__Equipment__: None

__How to play__:

Start with the youngest player, who begins the count at ‘one.’

The next person then says, ‘two.’

Players then continue to take it in turns to say the next number in the sequence as everyone works together to count up to 100.

Every time you reach a number that is divisible by an agreed multiple – for example, four (4, 8, 12, 16, etc.), you say BUZZ instead. If someone makes a mistake, then you go back to the start.

An example game would start: "one, two, three, BUZZ, five, six, seven, BUZZ, nine, ten, eleven, BUZZ, thirteen, BUZZ, etc."

__Some tips and variants__:

- Once you've cracked one times table, try again with numbers divisible by three, six, seven etc.
- If you're up for a serious challenge, try ‘Fizz-Buzz’. In this game, you say FIZZ for every number with a chosen multiple (e.g. 3), and BUZZ for every number with a different multiple (e.g. 7). So, the start would go like this: "one, two, FIZZ, four, five, FIZZ, BUZZ, eight, FIZZ". Any number that is divisible by both three and seven (21, 28, 35, etc.) must be called as FIZZ-BUZZ!
- If that's still too easy for the budding mathematicians in your car, substitute the words BUZZ and FIZZ for different words each round!

**AUTUMN 1 2023**

A new academic year and a new maths activity to explore at home. This half term’s edition is a simple to set up activity, requiring two dice. It can be carried out individually, together or as a competitive activity, building upon your child’s times tables learning at school and rehearsal of key multiplication facts in ‘Times Tables Rock Stars’. So, without further ado, here is…

**'A Two-Dice Problem'**

__The aim__: To identify numbers (‘factors’) that multiply to make a given amount (the ‘product’).

__Equipment__: Two dice (or online dice, if you don’t have any, e.g. https://www.classtools.net/dice/)

__How to play__:

First player throws two dice, one after the other, and records the number that appears.

In this example, we have 64.

Each player, then identifies which multiplication tables this number appears in and, for each one, records a number sentence *e.g. 2 x 32 = 64, 8 x 8 = 64, 4 x 16 = 64 etc.*

For each multiplication example, players earn a point.

__Deepening understanding:__ Discuss the following, as you carry out the activity:

*Do you notice any patterns or relationships between sets of calculations?**How can you ensure you have found all examples (ask your child about working systematically)?**How might the rules be adjusted? What effect would this have?*

**SUMMER 2 2023**

The summer holidays have arrived and that means one more maths game for the year. This edition’s game is – like the last one – perfect for those of you looking to fill up time on a car journey, especially if you are taking a longer trip. With this game, we turn our attention from times tables to mental addition. So, with the Ashes cricket still being played, it seems like a perfect opportunity to introduce…

**'Car Cricket'**

__The aim__: To score the most runs by keeping a running total.

__Equipment__: Roads to travel on and some cars!

__How to play__:

The goal of this game is to see which player can score the most runs. Passengers play as individuals, and each player in the car takes a turn to ‘bat’.

How many runs the batter scores whilst ‘in’ is determined by the colour of the cars that pass by on the opposite side of the road, or if you're on a motorway, the cars that are overtaken or overtake you. Suggested scores and colours are:

- A white car = One run
- A blue car = Two runs
- A green car = Four runs
- A yellow car = Six runs
- A red car = Out!

There is no limit to how long a batter can be 'in' - they continue to score runs as cars pass them until a red car is passed. When that happens, the batter is 'out', their score for that innings is added to their total, and then the next player is ‘in’.

The person with the highest score after a set number of innings (depending on how long the trip is) is the winner.

__Some rules to avoid arguments__:

- Cars that are passed must be moving.
- Vans or trucks and trucks don’t count (unless you make a separate rule)

__Some tips and variants__:

- Change the colours and scores.
- Be careful to keep track of who’s in and out when passing a stream of red cars!
- Instead of cars, you could use road signs e.g. Circular signs = One run; Brown signs = Four runs; Chevrons = Six runs; Triangle signs = Out!

**SUMMER 1 2023**

This half term’s game is perfect for those of you looking to fill up time on a car journey, especially if you are taking a longer trip. The games suggested in previous newsletters have focussed on multiplying two numbers so it’s time to up our game! So, without further ado, here is…

**'Number Plate Times Tables'**

__The aim__: To multiply more than two numbers.

__Equipment__: None – just your magnificent brains!

__How to play__:

Step 1: Set a winning target (amount of points to aim for) depending on how long the journey is and how busy the roads are.

Step 2: When a car passes, someone calls out the digits on the number plate.

Step 3: All other players then race to multiply these digits e.g. if the number on a passing number plate is 352, the first person to work out 3 × 5 × 2 and say “30” gets a point.

**SPRING 2 2023**

This game needs a minimum of 2 people but you could include more. The numbers on the number cards may vary based on the multiplication facts needing to be practised. This is...

**'Multiplication Capture'**

__The aim__: To ‘capture’ space on the game board by drawing an array representing a **product**.

__Equipment__: Squared paper (for the game board), number cards, coloured pencils or crayons.

__How to play__:

Step 1: Shuffle the cards. Each player picks a card to determine the order of play. The player with the greatest number goes first, the player with the next greatest number goes second, and so on.

Step 2: The first player picks two cards from the deck, shows them to the other players, and says the product of the two numbers.

Step 3: If the other players agree with the product, the first player “captures” an area on the game board equal to that product. The player does this by colouring a rectangular array of squares and writing the product on the squares.

For example, if the player picked 4 and 6, the player colours a 4-by-6 rectangle and writes 24 on the rectangle. This is the player’s score for that round.

Then the cards are returned to the deck and reshuffled. The next player now takes a turn.

**If the player was not correct**, the second player gets to “steal” by giving the correct product and capturing the area. Then, the second player gets another turn.

**If a player cannot find any room** to colour the array, that player is out of the game.

**When there is only one player left**, the scores are added and the player with the most points wins.

**SPRING 1 2023**

This is another simple 2 player game that – this time – focuses on identifying the numbers that have been multiplied together (the **factors**) to make a given amount (the **product**). This game is called…

**'Guess My Numbers!'**

__The aim__: To identify the **factors** that make a given **product**.

__Equipment__: A pack of cards, paper and a pencil.

__How to play__:

Step 1: Shuffle all the cards. Players sit back-to-back. Decide which player goes first.

Step 2: The first player picks 2 cards from the pile without showing them to the opponent. They then say the product of the numbers aloud.

Step 3: The opponent guesses the two numbers the first player has picked, continuing to guess until they are correct. The first player gets a point for each incorrect guess.

Step 4: Replace the cards in the pile and shuffle them. The next player takes a turn and so on.

Step 5: The first player to reach a pre-agreed number of points (such as 20 points) wins the game.

**AUTUMN 2 2022**

We love this game as it is so flexible and can be done with any times table that needs particular focus. The name of the game? Well, let us present…

**'Dice Duel'**

__The aim__: To be the first player to hit the target number, 19.

__Equipment__: Two dice will do just nicely.

__How to play__:

Step 1: Two players have two dice each and agree the times table they will be focusing on e.g. 9.

Step 2: Both players roll their dice. They then race against each other to add the numbers shown on both dice together and multiply the answer by your chosen times table. For example, if one player rolled a 3 and the other a 5, they would need to complete 9 x 8 if the 9 times table was the focus.

Step 3: The first player to successfully complete the multiplication and announce it in the style of ‘9 x _ = _’ wins a point.

Step 4: Continue in this manner until one player gets to 19 points first.

__Variation__: To adapt this game, you might (i) increase or decrease the target number; (ii) challenge players to use the answer to their multiplication (the ‘product’) as their points, adding and subtracting each new product to get as close to the target number as possible.

**AUTUMN 1 2022**

A simple game, requiring nothing but your hands!

‘**Rock, Paper, Times Tables’**

This game is – perhaps, obviously – just like ‘rock, paper, scissors’ except the following applies:

- on the third lowering of your fist, each brave warrior reveals a number with their fingers
*g. one player may hold up 7 fingers and the other may hold up 2*. - each magnificent maths hero then multiplies these two numbers
*g. 7 x 2 = 14.* - The first player to get the correct answer wins that round.

The game then continues in this way over as many rounds as you would like to play.

__Variation__

- Instead of the first player to respond with the correct answer, take it in turns to multiply the two numbers. Keep a tally of correct responses.
- If a particular times table needs more work – for instance, like the 6x, 7x, 8x and 9x tables, ensure these are mixed in with some examples that your child/each player is more confident with. It is also worth checking what times tables are currently being worked on in school (an overview is available on the above link).

We hope you enjoy playing this game. It’s a great, quick game that can be played almost anywhere: in a queue at the supermarket; whilst waiting for the kettle to boil; and so many other situations!

**SUMMER 2 2022**

Here is a simple game that just requires two dice, a pencil and some paper:

**‘Tables Dash’**

__The rules:__

Each player draws 8 “dashes” on their own sheet of paper.

**___ ___ ___ ___ ___ ___ ___ ___**

They take it in turns to throw two dice and multiply them together. They then write the product (answer) on one of the dashes. Once placed, the numbers can’t be moved!

The smaller numbers must go on the left of the larger ones (so the numbers are in order).

If there is no free space to put the product (because it is either too big or too small), the player must miss a turn.

The first to fill all of their dashes wins. This takes a bit of strategy!

__Variation__

- Each player throws the pairs of dice twice and totals the number of each pair to multiply together e.g. Player 1 throws a 4 and a 1 to make 5, then a 3 and a 6 to make 9. They then multiply these (5 x 9).
- Each player draws 10 dashes (or more!). They take turns throwing the dice and, when the dice have been thrown, they each place the
__same__product on their own line. One player might place it in one position and the other in a different position depending on how likely they think a larger / smaller one might be to come up.

## Other Games

Here are some other games you might like to have fun playing. Let us know which ones are your favourites!

### Multiplication Game 1

A game shared during our Parent's Times Tables Workshop in January 2022, Three in a Row is a great game needing minimal resources.

### Multiplication Game 2

Our second is: Dice Tag Multiplication from the wonderful Mathsticks.com. Please visit them for further exciting free and paid ways to help your child improve their number sense.

### Multiplication Game 3

Times Tables Snakes and Ladders: based on the classic game, a great way of practising particular times tables and counting. Sourced from Mathsticks.com.

### Multiplication Game 4

Another great game is the Multi-Race Game, a ‘Track’ game which encourages children to practice multiplication problems. With this resource there is a very strong focus on identifying factors, and on the accurate use of vocabulary. Again, this comes from the very wonderful Mathsticks.com.

### Multiplication Game 5

This is a great challenge from the wonderful folks at NRICH, called 'The Factors and Multiplication Game'. You can find supporting resources here and, if a slightly easier version is needed, a smaller number board (

### Multiplication Game 6

...and Mathsticks.com have come up trumps again with this fantastic game. We all know what a great game the classic 'Battleships' is! Well, here's a game based upon it (with the added bonus of being able to practise multiplication facts) called Multiplication Starships. *Be aware that in step 2 of the instructions, it states 'the product of and two multiples'. This should actually read 'the product of and two factors'.*

### Multiplication Game 7

Another brilliant Mathsticks.com game. Do you like playing 'Top Trumps'? Well, here's a great game based upon this classic: Superhero Top Trumps. It provides a great competitive opportunity to know your multiplication tables.

### Multiplication Game 8

Your parents will probably remember a game called 'Blockbusters'. In this game, you answer questions to try and get from one side of the game board to the other (left to right). The winner is the first person to get to the other side. You can find more detailed instructions here and some game boards here (note that the more challenging boards include fractions and decimals and also have an addition and subtraction element).

*Bonus Task (click for added excitement!)*

Want to win $1 million?

Well, the Clay Institute are offering this whopping prize to the person who solves the Riemann hypothesis. This problem calls on someone to find a pattern in the distribution of prime numbers.

The video below adds further detail as to how you might begin to explore this: