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Number Patterns Exploration
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Number Patterns Exploration
Find the rule in each pattern. Complete the numbers and explain your thinking where asked.
Find the Pattern Rule
1.Continue this sequence by writing the next two numbers: 7, 12, 17, 22, 27, ___, ___. What number is added each time?
2.A sequence starts at 9. Add 6 to get each next number. Complete the blanks: 9, , , 27, , .
3.Which rule makes the sequence 6, 12, 18, 24, 30?
- Add 3 each time
- Add 6 each time
- Multiply by 3 each time
- Subtract 6 each time
4.Begin at 4 and add 9 each time. Write the first six numbers in the sequence.
Patterns in Groups
Bags
1
2
3
4
5
Apples
3
___
___
___
___
5.If each bag holds 3 apples, how many apples are in 8 bags? Show how you worked it out.
6.A repeating tile design has 4 blue tiles followed by 3 yellow tiles. How many tiles are in 4 complete repeats?
Explain and Explore
7.The sequence is 8, 16, 24, 32, 40, ... Describe a way to find its 7th number, then write that number.
8.Draw a picture pattern with 3, 6, 9 and 12 dots in its first four groups. Show how the groups grow.
9.Start at 5 and double the number each time. What are the first four numbers?
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