**"Lesson Activities"**

## Years 4 – 12 The answer is 2021 but what is the question?

*By toni On 29 December, 2020 · Leave a Comment*

It is not easy to find the factors of 2021, but here is a clue: use the fact that $3 \times 7 = 21$

You can be a creative mathematician, you can be someone who has your own mathematical ideas. Find your own interesting facts about 2021 and calculations that have the […]

## Red or Black Game Years 3 to 8

*By toni On 23 December, 2020 · Leave a Comment*

This is a game for 2 players. You need a pack of 52 playing cards. Shuffle the cards. One player is dealer and turns the cards face up one at a time. Before seeing the card, the other player must say ‘red’ or ‘black’ and wins the card […]

## Some Mathematical Games

*By toni On 10 December, 2020 · Leave a Comment*

GAMES FOR THE WHOLE CLASS

Grades 6 and 7 HALF A MILLION GAME

Grades 7 to 10 THE FUNCTION GAME

GAMES FOR 2 PLAYERS

Grades 4 to 8 SCISSORS, PAPER, ROCK

Grades 5 to 9 CHANCY OPERATIONS

[…]

Two dice are RED and one is GREEN.

Roll the dice and add up the numbers on the two RED dice and then subtract the number on the GREEN.

So if one RED is 4 and the other RED is 5 and the GREEN is 3 we should add together 4 and 5 to […]

## Years 4 – 7 Fractions by Thirds

*By toni On 1 December, 2020 · Leave a Comment*

This square is one unit and it is split into smaller parts. Label each part with the fraction it shows.

How many green rectangles make one unit?

How many small red squares make one unit?

How many small blue rectangles make one unit?

How many small pink rectangles make one unit?

Which […]

## Years 6 – 7 Half a Million Game

*By toni On 27 November, 2020 · Leave a Comment*

The aim of the game is to make a number as close to half a million as possible. Which of the numbers in the table is closest to half a million?

This game uses ten cards numbered 0, 1, … 9. The cards are put face down and mixed up.

Each player […]

## Years 7 to 10 Metre and Centimetre Cubes

*By toni On 20 November, 2020 · Leave a Comment*

Watch the video about the Metre Cube and Scale.

How many children can fit inside a metre cube (1 metre by 1 metre by 1 metre)? How many adults?

How many cubic centimetres (1 centimetre by 1 centimetre by 1 centimetre) can fit inside a metre cube?

[…]

## Years 10 – 12 Same Birthday

*By toni On 20 November, 2020 · 10 Comments*

In a group of 23 people there is more than a 50% chance that two will have the same birthday? Does that surprise you?

Including February 29th how many different birthdays can there be? Start with any 3 people A, B and C. What is the probability that B has a different birthday from […]

## Years 8 – 10 Same Birth-month

*By toni On 20 November, 2020 · 8 Comments*

The probability that there are two people in a group with birthdays in the same month depends on the size of the group.

What if the group has more than twelve people?

What about a group of 2 people? What is the probability they have birthdays in different months?

## Years 7 – 10 Nines and Tens

*By toni On 18 November, 2020 · 26 Comments*

Both 9 and 10 can be made up in 2 different ways by adding pairs of the numbers 1, 2, … 6, that is

9 = 3 + 6 = 4 + 5

10 = 4 + 6 = 5 + 5

Explain why it is that when you throw two dice you are more […]

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