# 3 tens in a line

A context for practise thinking mathematically resource focussed on developing flexible strategies, reasoning and relationships to benchmarks (for example to fives/tens)

## Syllabus

Syllabus outcomes and content descriptors from Mathematics K-10 Syllabus © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2021

• MAO-WM-01
• MAE-RWN-01
• MAE-RWN-02
• MAE-CSQ-01
• MAE-CSQ-02

• MAO-WM-01
• MA1-CSQ-01

## Collect resources

You will need:

• 2 different coloured markers
• something to write on
• a zero-9 dice, spinner or A-9 playing cards.

## Watch

Watch 3 tens in a line video (2:25) to learn how to play.

Tic-tac-toe variation using combinations of 10

### Michelle

All right, welcome back mathematicians and hello Barbara!

Hello Michelle!

### Michelle

How are you today?

### Barbara

I'm great.

I'm ready to party mathematically. Are you?

### Michelle

Yeah, yeah, we are gonna party mathematically with a new game. And it's a lot like noughts and crosses.

[Presenter draws 2 vertical lines and 2 intersecting horizonal lines to make a noughts and crosses board with 9 boxes].

### Barbara

It looks like noughts and crosses.

### Michelle

Where we're looking for three in a row, diagonally or vertically or horizontally.

Okay.

### Michelle

But to get the three in a row we need combinations of ten in our boxes.

Okay.

### Michelle

So, two numbers that combine to make ten.

Okay.

### Michelle

Like a pattern. So, let's just start, you roll the dice.

[Presenter rolls a 9-sided dice.]

Okay so 6.

So, you can put that anywhere in the game board to start with because nothing's used.

### Barbara

Okay.

[Presenter writes the numeral 6 in the centre box.]

### Michelle

[Presenter rolls the dice again.]

And I got a 9 and so I can't put it here [indicates the centre box] because 6 and 9 would be more than 10, but if I had a 4 I could put it there. I'm gonna put the 9 here.

[Presenter writes the numeral 9 in the bottom middle box.]

### Barbara

[Presenter rolls the dice again.]

Okay so 3, I might put it there.

[Presenter writes the numeral 3 in the box in the middle of the right column.]

### Michelle

[Presenter rolls the dice again.]

Oh, and so the 4 I can join there to make a 10.

[Dice lands on 4. In centre box next to number 6 the presenter writes + 4 which indicates that box makes 10.]

### Barbara

Okay. Does that mean that I can't use it?

### Michelle

No, that means that square is now ready to be used.

Oh, by anybody?

Anybody.

Oh great, okay.

### Barbara

[Presenter rolls the dice again.]

Okay 3.

[Presenter writes the numeral 3 in the top left hand corner box.]

### Michelle

[Presenter rolls the dice again.]

Okay, oh 7! So, I could put the seven here [indicates top left hand corner box] or I could put the seven here [middle right-hand box]. I might put it here [top left hand corner box]. Cause it rolled in that square.

[Presenter writes + 7 next to the existing written 3.]

### Barbara

[Presenter rolls the dice again.]

Hey 5, I think that needs a new square, doesn't it?

[Presenter writes the numeral 5 in the top right-hand box.]

### Michelle

[Presenter rolls the dice again.]

Yes. Okay and a 9.

[Presenter writes the numeral 9 in the right-hand box.]

### Barbara

[Presenter rolls the dice again.]

And a six.

[Presenter writes the numeral 6 in top middle square]

### Michelle

If someone rolls a one now, they win.

Oh okay.

### Michelle

[Presenter rolls the dice again.]

Oh yes!

[Number one is rolled on the dice.]

Nine plus one.

[Presenter writes + 1 in bottom right-hand box next to the existing 9.]

### Barbara

Are you sure you don't want to put it there?

[Presenter indicates middle bottom box which also has a 9 written in it.]

### Michelle

No, I'm sure because, dee dee dee der! Three in a row!

[Presenter indicates three filled boxes with numbers that make 10 on a diagonal].

### Barbara

You win. You win. Congratulations.

### Michelle

Thank you very much!

So, if you roll a zero, you miss a turn.

Okay.

### Michelle

And if you say, um, we rolled and there was nowhere to put the numbers you also miss a turn.

Oh okay.

### Michelle

But that's how you play.

### Barbara

That's a really good game.

A good game!

### Barbara

And you can play it everywhere.

### Michelle

Everywhere. Over to you mathematicians to enjoy!

[End of transcript]

## Instructions

• Draw a 3x3 grid as a game board (like noughts and crosses game board).
• Players take turns to roll the dice and write the number in one of their boxes.
• The goal is to be able to write two numbers in each box that combine to make 10.
• Players continue taking turns until a player has been the first to make 3 tens in a line.