Counting patterns - up to 100

Learning Objectives Identify increasing and decreasing number patterns. Determine the rule for a given number pattern up to 100. Extend a number pattern to find missing terms or subsequent terms, staying within 100. Create their own number patterns following a specific rule. Solve word problems involving number patterns up to 100. Recognize and describe patterns in everyday contexts. Have you ever noticed how some things in life repeat in a predictable way, like the days of the week or the numbers on a clock? ⏰ What if we could predict the next number in a sequence just by looking at the first few? In this lesson, we'll explore the exciting world of counting patterns! You'll learn how to spot rules in number sequences, predict what comes next, and even create you...

TermDefinitionExample Number PatternA sequence of numbers that follows a specific rule or order.2, 4, 6, 8, ... is a number pattern where each number is 2 more than the previous one. RuleThe mathematical operation (addition, subtraction, multiplication, or division) and the number that describes how to get from one term to the next in a pattern.In the pattern 10, 20, 30, 40, the rule is 'add 10'. TermEach individual number in a number pattern or sequence.In the pattern 5, 10, 15, 20, the number 5 is the first term, 10 is the second term, and so on. Increasing PatternA number pattern where the terms get larger as you move along the sequence, usually by adding or multiplying.1, 3, 5, 7, ... is an increasing pattern (add 2). Decreasing PatternA number pattern where the terms get sm...

Finding the Pattern Rule (Addition/Subtraction) To find the rule for an addition or subtraction pattern, find the difference between consecutive terms. If the numbers are increasing, it's addition. If decreasing, it's subtraction. Subtract the first term from the second term. If the result is consistent across other consecutive terms, that's your rule. For example, in $10, 15, 20$, $15 - 10 = 5$, and $20 - 15 = 5$. The rule is 'add 5'. Extending a Pattern Once you've identified the pattern's rule, apply that rule repeatedly to the last known term to find the next terms in the sequence. If a pattern is $3, 6, 9$ with the rule 'add 3', to find the next term, you would do $9 + 3 = 12$. To find the term after that, $12 + 3 = 15$, and...