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Multiples Pattern Exploration
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Multiples Pattern Exploration
Complete each pattern and explain the multiplication rule where asked. Show your thinking.
Explore multiples
1.Complete the sequence, then state which number's multiples it shows: 4, 8, 12, 16, __, __, __.
2.The first five multiples of 9 are 9, 18, 27, 36, 45. Write the next two multiples.
3.For the sequence 9, 18, 27, 36, 45, what is the 10th multiple of 9?
4.Explain the pattern 6, 12, 18, 24, 30 using multiplication facts, not repeated addition.
5.Which sequence lists consecutive multiples of 8?
- 8, 16, 24, 32, 40
- 8, 16, 25, 32, 40
- 8, 18, 28, 38, 48
- 8, 24, 32, 48, 56
Multiples in groups and tables
6.A craft club puts 5 beads in each packet. Complete the table by finding the total beads in Groups 4 and 6.
Group number
1
2
3
4
5
6
Beads
5
10
15
__
25
__
7.For the bead-packet table, complete the rule: total beads = group number × .
8.Using 5 beads per packet, how many beads are needed for 12 packets?
Find and use the rule
9.In this number table, each input has an output: inputs 1, 2, 3, 4, 5 give outputs 7, 14, 21, 28, 35. Complete the rule: output = input × .
10.Using the rule output = input × 7, find the output when the input is 9.
11.Match each multiplication rule to the sequence it creates.
- Multiply the term number by 3
- Multiply the term number by 4
- Multiply the term number by 6
- Multiply the term number by 8
- 6, 12, 18, 24
- 3, 6, 9, 12
- 4, 8, 12, 16
- 8, 16, 24, 32
12.Make a sequence of five consecutive multiples of 11, starting with 11. Write the multiplication facts that make your sequence.
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