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Explore Number Patterns with Multiplication and Division

This educational activity encourages students to investigate number patterns through skip counting and reflect on multiplication, division, and algebra concepts. Includes problem-solving scenarios for practice.

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Explore Number Patterns with Multiplication and Division

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  1. 2, 4, 6, ... 2 + 2 4 2 + 2 + 2 2 6 4 Multiplication and Division 3 Patterns and Algebra 8 + 2 + 2 + 2 2 6 4 8 + 2 + 2 + 2 + 2 6 4 10 2 8 + 2 + 2 + 2 + 2 + 2 8 6 4 10 2 12 Even numbers Multiples of 2

  2. 1, 3, 5, ... 1 + 2 3 1 + 2 + 2 7 5 11 1 3 9 1 5 3 Multiplication and Division 3 Patterns and Algebra 8 + 2 + 2 + 2 5 3 7 1 + 2 + 2 + 2 + 2 3 1 7 9 5 + 2 + 2 + 2 + 2 + 2 Odd numbers Not multiples of 2

  3. Counting by 5s – multiples of 5. Counting by 5s – non-multiples of 5. Multiplication and Division 3 Patterns and Algebra 8

  4. Counting by 10s – multiples of 10. Counting by 10s – non-multiples of 10. Multiplication and Division 3 Patterns and Algebra 8

  5. 20, 18, 16, ... 20 - 2 20 18 - 2 - 2 Backwards 20 18 16 Multiplication and Division 3 Patterns and Algebra 8 - 2 - 2 - 2 20 18 14 16 - 2 - 2 - 2 - 2 20 16 18 12 14 - 2 - 2 - 2 - 2 - 2 16 10 12 14 18 20 Multiples of 2 Even numbers

  6. 19, 17, 15, ... 19 - 2 17 19 - 2 - 2 Backwards 15 17 19 Multiplication and Division 3 Patterns and Algebra 8 - 2 - 2 - 2 15 13 17 19 - 2 - 2 - 2 - 2 15 11 17 13 19 - 2 - 2 - 2 - 2 - 2 15 17 9 13 11 19 Odd numbers Not multiples of 2

  7. Counting backwards by 5s – multiples of 5. Counting backwards by 5s – non-multiples of 5. Multiplication and Division 3 Patterns and Algebra 8

  8. Counting backwards by 10s – multiples of 10. Counting backwards by 10s – non-multiples of 10. Multiplication and Division 3 Patterns and Algebra 8

  9. Investigation: Select 2, or an even number. Skip count forwards the number. Are you saying the multiples of 2? Is 2 is a number in the skip counting number pattern? Are even numbers multiples of 2? Record your skip counting number pattern on a number line. How many are you repeatedly adding? Reflection: How can we count forwards by 2s? Problem Solving Mary was counting forwards by 2s. Her number pattern included the number 8. What could her number pattern have looked like? Multiplication and Division 3 Patterns and Algebra 8

  10. Investigation: Select an even number. Skip count backwards from the number by 2. Are you saying the multiples of 2? Would 2 be a number in the skip counting number pattern? Are even numbers multiples of 2? Record your skip counting number pattern on a number line. How many are you repeatedly subtracting? Reflection: How can we count backwards by 2s? Problem Solving Mary was counting backwards by 2s. Her number pattern included the number 8. What could her number pattern have looked like? Multiplication and Division 3 Patterns and Algebra 8

  11. Investigation: Select an odd number. Skip count forwards from the odd number by 2. Are you saying the multiples of 2? Would 2 be a number in the skip counting number pattern? Are odd numbers not multiples of 2? Record your skip counting number pattern on a number line. How many are you repeatedly adding? Reflection: How can we count forwards by 2s? Problem Solving Mary was counting forwards by 2s. Her number pattern included the number 9. What could her number pattern have looked like? Multiplication and Division 3 Patterns and Algebra 8

  12. Investigation: Select an odd number. Skip count backwards from the odd number by 2. Are you saying the multiples of 2? Would 2 be a number in the skip counting number pattern? Are odd numbers not multiples of 2? Record your skip counting number pattern on a number line. How many are you repeatedly subtracting? Reflection: How can we count backwards by 2s? Problem Solving Mary was counting backwards by 2s. Her number pattern included the number 9. What could her number pattern have looked like? Multiplication and Division 3 Patterns and Algebra 8

  13. Investigation: Select a number with 5 ones or zero ones. Skip count forwards from the number by 5. Are you saying the multiples of 5? Is 5 is a number in the skip counting number pattern? Record your skip counting number pattern on a number line. How many are you repeatedly adding? Reflection: How can we count forwards by 5s? Problem Solving Mary was counting forwards by 5s. Her number pattern included the number 10. What could her number pattern have looked like? Multiplication and Division 3 Patterns and Algebra 8

  14. Investigation: Select a number with 5 ones or zero ones. Skip count backwards from the number by 5. Are you saying the multiples of 5? Would 5 be a number in the skip counting number pattern? Are numbers with 5 ones or 0 ones multiples of 5? Record your skip counting number pattern on a number line. How many are you repeatedly subtracting? Reflection: How can we count backwards by 5s? Problem Solving Mary was counting backwards by 5s. Her number pattern included the number 10. What could her number pattern have looked like? Multiplication and Division 3 Patterns and Algebra 8

  15. Investigation: Select a number with 1, 2, 3, 4, 6, 7, 8 or 9 ones. Skip count forwards from the number by 5. Are you saying the multiples of 5? Would 5 be a number in the skip counting number pattern? Are numbers with 1, 2, 3, 4, 6, 7, 8 or 9 ones multiples of 5? Record your skip counting number pattern on a number line. How many are you repeatedly adding? Reflection: How can we count forwards by 5s? Problem Solving Mary was counting forwards by 5s. Her number pattern included the number 9. What could her number pattern have looked like? Multiplication and Division 3 Patterns and Algebra 8

  16. Investigation: Select a number with 1, 2, 3, 4, 6, 7, 8 or 9 ones. Skip count backwards from the number by 5. Are you saying the multiples of 5? Would 5 be a number in the skip counting number pattern? Are numbers with 1, 2, 3, 4, 6, 7, 8 or 9 ones multiples of 5? Record your skip counting number pattern on a number line. How many are you repeatedly subtracting? Reflection: How can we count backwards by 5s? Problem Solving Mary was counting backwards by 5s. Her number pattern included the number 9. What could her number pattern have looked like? Multiplication and Division 3 Patterns and Algebra 8

  17. Investigation: Select 10, or a number with zero ones. Skip count forwards from the number by 10. Are you saying the multiples of 10? Is 10 is a number in the skip counting number pattern? Are numbers with zero ones multiples of 10? Record your skip counting number pattern on a number line. How many are you repeatedly adding? Reflection: How can we count forwards by 10s? Problem Solving Mary was counting forwards by 10s. Her number pattern included the number 30. What could her number pattern have looked like? Multiplication and Division 3 Patterns and Algebra 8

  18. Investigation: Select a number with zero ones. Skip count backwards from the number by 10. Are you saying the multiples of 10? Would 10 be a number in the skip counting number pattern? Are numbers with zero ones multiples of 10? Record your skip counting number pattern on a number line. How many are you repeatedly subtracting? Reflection: How can we count backwards by 10s? Problem Solving Mary was counting backwards by 10s. Her number pattern included the number 30. What could her number pattern have looked like? Multiplication and Division 3 Patterns and Algebra 8

  19. Investigation: Select a number with 1, 2, 3, 4, 5, 6, 7, 8 or 9 ones. Skip count forwards from the number by 10. Are you saying the multiples of 10? Would 10 be a number in the skip counting number pattern? Are numbers with 1, 2, 3, 4, 5, 6, 7, 8 or 9 ones not multiples of 10? Record your skip counting number pattern on a number line. How many are you repeatedly adding? Reflection: How can we count forwards by 10s? Problem Solving Mary was counting forwards by 10s. Her number pattern included the number 19. What could her number pattern have looked like? Multiplication and Division 3 Patterns and Algebra 8

  20. Investigation: Select a number with 1, 2, 3, 4, 5, 6, 7, 8 or 9 ones. Skip count backwards from the number by 10. Are you saying the multiples of 10? Would 10 be a number in the skip counting number pattern? Are numbers with 1, 2, 3, 4, 5, 6, 7, 8 or 9 ones not multiples of 10? Record your skip counting number pattern on a number line. How many are you repeatedly subtracting? Reflection: How can we count backwards by 10s? Problem Solving Mary was counting backwards by 10s. Her number pattern included the number 19. What could her number pattern have looked like? Multiplication and Division 3 Patterns and Algebra 8

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