Flashcards on Understanding Mathematical Patterns and Sequences
Understanding Mathematical Patterns and Sequences for Students
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Number patterns
25 cards
Card 1
Question: What is a numeric pattern (number pattern)?
Answer: A list of numbers that follow a certain sequence or rule, e.g. 1, 4, 7, 10 where the same value is added each time.
Card 2
Question: What is an arithmetic pattern?
Answer: A pattern where the same constant is added or subtracted each term (constant difference), e.g. 3, 6, 9, 12 (add 3).
Card 3
Question: How does a geometric pattern (with constant ratio) grow?
Answer: Each term is obtained by multiplying the previous term by a fixed ratio, e.g. 1, 3, 9, 27 (×3).
Card 4
Question: What does 'constant difference' mean in a number sequence?
Answer: The number being added or subtracted stays the same for every step in the sequence.
Card 5
Question: Give an example that shows a constant difference of +5.
Answer: 4 → 9 → 14 → 19 (each term adds 5).
Card 6
Question: How can a pattern be formed other than arithmetically or geometrically?
Answer: By having the amount added change each term, for example adding +2, +3, +4, +5 to get 1, 3, 6, 10, 15, ... (triangular numbers).
Card 7
Question: In a pattern table, what information does a four-line pattern table include for progressions?
Answer: It can show term number, counters in term, the amount added or multiplied to get the next term, and counters in the next term to calculate progression
Card 8
Question: What is the flow diagram approach for patterns?
Answer: Start with the input value at Term 1 and follow a flow line where a rule (arithmetic or geometric) modifies the value to produce each subsequent term.
Card 9
Question: How can you check an addition pattern result using an inverse operation?
Answer: Use subtraction: if 17 + 3 = 20, check by 20 - 3 = 17.
Card 10
Question: What should you look for when identifying the rule in a pattern?
Answer: Look for similarities in the numbers being added, subtracted, or the ratio used; they follow a specific order (constant or changing).