What makes a repeating pattern DIFFERENT from random? โ A repeating pattern has a rule (core) that you can predict; random has no rule.A REPEATING pattern has a predictable core rule โ you know what comes next. RANDOM means no rule โ anything could come next!
A pattern: A B C A B C A B C... What position is the letter C in the 4th repetition? โ Position 12.Each repetition is 3 positions. 4th repetition starts at position 10. C is the 3rd in each repetition: 10+2 = position 12!
If you see: ๐ฑ๐ถ๐ธ๐ฑ๐ถ๐ธ๐ฑ๐ถ๐ธ๐ฑ... What would be the 15th item? โ ๐ธ Frog.ABC pattern (core = 3). 15 รท 3 = 5 exactly. Position 15 is the END of the 5th repetition = C = ๐ธ FROG!
Which pattern is an ABA type? โ ๐ด๐ต๐ด๐ด๐ต๐ด.ABA = first, second, first (then repeats). Red, blue, red, red, blue, red... = ABA pattern!
Can the SAME set of objects create DIFFERENT patterns? For example: ๐ด๐ต, ๐ต๐ด, ๐ด๐ด๐ต? โ Yes โ you choose which arrangement to repeat.YES! The same objects can be arranged in different orders to create different patterns. The core you CHOOSE determines the pattern!
A pattern has 5 items in its core. How many items will be in 3 repetitions? โ 15.5 items per repetition ร 3 repetitions = 15 items total!
A repeating pattern has core: ๐ด๐ต๐ข. What is the 7th item? โ ๐ด Red.Core has 3 items. 7 รท 3 = 2 remainder 1. The 7th item is the 1st in the core = ๐ด RED!
Which kind of music uses a REPEATING PATTERN? โ A song with a chorus that comes back repeatedly.A chorus that repeats throughout a song is a musical repeating pattern! The same melody/lyrics come back again and again.
Can a growing pattern also go DOWN (shrink)? Example: 20, 17, 14, 11... โ Yes โ a pattern that decreases by the same amount each step is a shrinking/growing pattern.YES! A pattern can also DECREASE by the same amount each step. 20โ17โ14โ11 decreases by 3 each time โ it is still a rule-based growing (shrinking) pattern!
A pattern: 1, 2, 4, 8, 16. What is the rule? โ Multiply (double) by 2.Each number is DOUBLED: 1ร2=2, 2ร2=4, 4ร2=8, 8ร2=16. The rule is multiply by 2 (double)!
Fill in: 1, 4, 9, 16, ___. (Hint: 1ร1, 2ร2, 3ร3, 4ร4, 5ร5) โ 25.1ยฒ=1, 2ยฒ=4, 3ยฒ=9, 4ยฒ=16, 5ยฒ=25. These are perfect squares! The next is 25.
Marcus plants a tree: Year 1: 1 foot, Year 2: 3 feet, Year 3: 5 feet, Year 4: 7 feet. In Year 6, how tall? โ 11 feet.Rule is +2 feet each year. Year 4=7, Year 5=9, Year 6=11 feet!
A pattern: 2, 5, 8, 11, 14. What rule do you notice? โ Add 3.2โ5 (+3), 5โ8 (+3), 8โ11 (+3), 11โ14 (+3). The rule is +3!
Fibonacci-inspired: 1, 1, 2, 3, 5, 8, ___. (Each number = sum of the two before it) โ 13.5+8=13. Each term equals the sum of the two previous terms. This is the famous Fibonacci pattern!
A growing pattern adds the same amount each step. That amount is called: โ The rule.The amount added each time in a growing pattern is the RULE โ it tells you how the pattern grows.
Which real-life situation shows a growing pattern? โ Counting by 5s: 5, 10, 15, 20....Counting by 5s grows by 5 each time โ a growing pattern! The others repeat (cycle) rather than grow.
A pattern: 0, 3, 6, 9, 12. What is the 6th term? โ 15.Rule is +3. Terms: 0, 3, 6, 9, 12, 15. The 6th term is 15!
What is the rule for: 100, 80, 60, 40, ___? โ Subtract 20.100โ80 (-20), 80โ60 (-20), 60โ40 (-20). Rule: subtract 20 each time. Next: 40-20=20!