Question 1
Use these shapes to make 2 different patterns.
Draw what you have made.
Draw what you have made.
Unit 14: Pattern and probability
Question 2
If the patterns are regular, complete them.
If they are random, draw a ring around them.
Discuss your choices with your partner.
**a**
If they are random, draw a ring around them.
Discuss your choices with your partner.
**a**
Question 3
If the patterns are regular, complete them.
If they are random, draw a ring around them.
Discuss your choices with your partner.
**b**
If they are random, draw a ring around them.
Discuss your choices with your partner.
**b**
Question 4
If the patterns are regular, complete them.
If they are random, draw a ring around them.
Discuss your choices with your partner.
**c**
If they are random, draw a ring around them.
Discuss your choices with your partner.
**c**
Question 5
If the patterns are regular, complete them.
If they are random, draw a ring around them.
Discuss your choices with your partner.
**d**
If they are random, draw a ring around them.
Discuss your choices with your partner.
**d**
Question 6
Make a random pattern of your own. (Use a row of 9 squares.)
Make a regular pattern of your own. (Use a row of 9 squares.)
Describe your patterns to your partner.
Make a regular pattern of your own. (Use a row of 9 squares.)
Describe your patterns to your partner.
Question 7
The arrow turns on each spinner.
On which spinner is the arrow most likely to land on brown?
Explain to your partner why you think this.
*Tip: Look at which colour takes up the most space on the spinners.*
Question 8
Work with a partner. You will need a coin.
If you each toss the coin 5 times, what do you think the results will be?
Say what you think the result will be before you toss the coin.
Complete the table as you play.
| Coin toss | Guess (heads/tails) | Results (heads/tails) |
|:-:|:-:|:-:|
| 1 | | |
| 2 | | |
| 3 | | |
| 4 | | |
| 5 | | |
| 6 | | |
| 7 | | |
| 8 | | |
| 9 | | |
| 10 | | |
How good were your guesses?
If you tossed the coin 20 times, do you think the result would be the same? Discuss this with your partner.
If you each toss the coin 5 times, what do you think the results will be?
Say what you think the result will be before you toss the coin.
Complete the table as you play.
| Coin toss | Guess (heads/tails) | Results (heads/tails) |
|:-:|:-:|:-:|
| 1 | | |
| 2 | | |
| 3 | | |
| 4 | | |
| 5 | | |
| 6 | | |
| 7 | | |
| 8 | | |
| 9 | | |
| 10 | | |
How good were your guesses?
If you tossed the coin 20 times, do you think the result would be the same? Discuss this with your partner.
Question 9
Work with a partner.
You will need digit cards 0–9.
1. Shuffle the cards and turn them face down in a pile on the table in front of you.
2. Player 1 turns the top card over and places it on the table so that it can be seen.
3. Player 2 must say if the next card turned will be higher or lower than the previous one giving their reasons.
4. Keep a record of what you said would happen and what actually happened.
5. Play continues until the last card is turned.
How many of your guesses were true?
*"I think it will be lower because ..." "I think it will be higher because ..."*
You will need digit cards 0–9.
1. Shuffle the cards and turn them face down in a pile on the table in front of you.
2. Player 1 turns the top card over and places it on the table so that it can be seen.
3. Player 2 must say if the next card turned will be higher or lower than the previous one giving their reasons.
4. Keep a record of what you said would happen and what actually happened.
5. Play continues until the last card is turned.
How many of your guesses were true?
*"I think it will be lower because ..." "I think it will be higher because ..."*
Question 10
Work with a partner. Use a pencil to hold a paperclip at the centre of the spinner.
| Player 1: red | Player 1: blue |
|:-:|:-:|
| | |
| Player 2: red | Player 2: blue |
|:-:|:-:|
| | |
Take turns to spin the spinner.
Record the results as tally marks in your table.
After 10 spins each, look at and compare the 2 tables.
What do you notice?
*Adapted from NRICH activity Tricky Track*
| Player 1: red | Player 1: blue |
|:-:|:-:|
| | |
| Player 2: red | Player 2: blue |
|:-:|:-:|
| | |
Take turns to spin the spinner.
Record the results as tally marks in your table.
After 10 spins each, look at and compare the 2 tables.
What do you notice?
*Adapted from NRICH activity Tricky Track*
Question 11
Marcus is describing the pattern he can see in this number sequence:
20, 21, 22, 23, 24, 25, 26, 27, 28, 29
Marcus: *"The tens digit stays the same. The ones digit changes."*
Find, complete and describe each regular number pattern.
**a** 10, 20, 30, 40, 50, \_\_\_, \_\_\_, \_\_\_, \_\_\_
20, 21, 22, 23, 24, 25, 26, 27, 28, 29
Marcus: *"The tens digit stays the same. The ones digit changes."*
Find, complete and describe each regular number pattern.
**a** 10, 20, 30, 40, 50, \_\_\_, \_\_\_, \_\_\_, \_\_\_
Question 12
Marcus is describing the pattern he can see in this number sequence:
20, 21, 22, 23, 24, 25, 26, 27, 28, 29
Marcus: *"The tens digit stays the same. The ones digit changes."*
Find, complete and describe each regular number pattern.
**b** 15, 25, 35, 45, 55, \_\_\_, \_\_\_, \_\_\_, \_\_\_
20, 21, 22, 23, 24, 25, 26, 27, 28, 29
Marcus: *"The tens digit stays the same. The ones digit changes."*
Find, complete and describe each regular number pattern.
**b** 15, 25, 35, 45, 55, \_\_\_, \_\_\_, \_\_\_, \_\_\_
Question 13
Marcus is describing the pattern he can see in this number sequence:
20, 21, 22, 23, 24, 25, 26, 27, 28, 29
Marcus: *"The tens digit stays the same. The ones digit changes."*
Find, complete and describe each regular number pattern.
**c** 11, 22, 33, 44, 55, \_\_\_, \_\_\_, \_\_\_, \_\_\_
20, 21, 22, 23, 24, 25, 26, 27, 28, 29
Marcus: *"The tens digit stays the same. The ones digit changes."*
Find, complete and describe each regular number pattern.
**c** 11, 22, 33, 44, 55, \_\_\_, \_\_\_, \_\_\_, \_\_\_
Question 14
Draw 3 random patterns using red and blue squares.
How do you know they are random patterns? Tell your partner.
Draw a regular pattern using red and blue squares.
Tell your partner the difference between random and regular patterns.
How do you know they are random patterns? Tell your partner.
Draw a regular pattern using red and blue squares.
Tell your partner the difference between random and regular patterns.
Question 15
You will need digit cards 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
Shuffle the cards and place them face down in a row.
Turn over the first card.
Say whether you think the next card will be higher or lower.
Turn over the card to see if you were right.
Continue the game until you reach the end of the row of cards.
Record your experiment in the table.
| Number on card | Before turning over the next card: Will the next card be higher or lower? | After turning over the next card: Was the card higher or lower? |
|:-:|:-:|:-:|
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What can you say about the results of your experiment? Talk to your partner.
Shuffle the cards and place them face down in a row.
Turn over the first card.
Say whether you think the next card will be higher or lower.
Turn over the card to see if you were right.
Continue the game until you reach the end of the row of cards.
Record your experiment in the table.
| Number on card | Before turning over the next card: Will the next card be higher or lower? | After turning over the next card: Was the card higher or lower? |
|:-:|:-:|:-:|
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What can you say about the results of your experiment? Talk to your partner.
Question 16
Complete this regular pattern.
Draw a regular sequence of your own and describe it to your partner.
Draw a regular sequence of your own and describe it to your partner.
Question 17
A cookie jar contains oatmeal cookies and chocolate chip cookies.
Zara: *"If I close my eyes and pick a cookie from the jar, I think it will be a chocolate chip cookie."*
Zara picks five cookies.
Complete the table to show the results.
| Oatmeal cookies | |
|:-|:-|
| | I |
Describe the results.
Zara: *"If I close my eyes and pick a cookie from the jar, I think it will be a chocolate chip cookie."*
Zara picks five cookies.
Complete the table to show the results.
| Oatmeal cookies | |
|:-|:-|
| | I |
Describe the results.
