Counting and Number Patterns - Second Grade
What are Counting Patterns?
Concept: Counting patterns help us count faster by skipping numbers! We can count by 2s, 5s, 10s, and more. We also learn about even and odd numbers.
What We'll Learn:
✓ Skip-counting by different numbers
✓ Using number lines and hundred charts
✓ Understanding even and odd numbers
✓ Solving skip-counting puzzles
💡 Tip: Skip-counting makes counting large groups of objects much faster!
1. Skip-Counting
Concept: Skip-counting means counting by a number other than 1. Instead of counting 1, 2, 3, 4... we can skip and count 2, 4, 6, 8...
Skip Count by 2s
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Pattern: Add 2 each time
Use for: Pairs, shoes, eyes
Skip Count by 5s
5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Pattern: Add 5 each time
Use for: Fingers, nickels
Skip Count by 10s
10, 20, 30, 40, 50, 60, 70, 80, 90, 100
Pattern: Add 10 each time
Use for: Dimes, groups of 10
More Skip-Counting Patterns
By 3s: 3, 6, 9, 12, 15, 18
By 4s: 4, 8, 12, 16, 20, 24
By 25s: 25, 50, 75, 100
By 50s: 50, 100, 150, 200
By 100s: 100, 200, 300, 400
💡 Tip: Practice skip-counting forwards AND backwards!
2. Skip-Counting Sequences
Concept: A sequence is a pattern of numbers in order. We can find missing numbers in skip-counting sequences!
📝 Example: Find the Missing Numbers
Example 1: Skip-counting by 5s
5
10
?
20
25
Pattern: Adding 5 each time
10 + 5 = ?
Answer: 15
Example 2: Skip-counting by 10s backwards
50
40
?
20
10
Pattern: Subtracting 10 each time
40 − 10 = ?
Answer: 30
💡 Tip: Look at the numbers before and after the blank to find the pattern!
3. Counting Patterns up to 100
Concept: We can find patterns when counting from 1 to 100. Numbers follow rules based on their place value!
Counting by 1s:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12... up to 100
Pattern: Add 1 each time
Patterns in Place Value:
Ones place pattern:
21, 31, 41, 51, 61, 71, 81, 91
All end in 1
Tens place pattern:
30, 31, 32, 33, 34, 35, 36, 37, 38, 39
All start with 3
💡 Tip: Understanding patterns helps you predict what comes next!
4. Number Lines up to 100
Concept: A number line is a straight line with numbers in order. We can use it to count, add, subtract, and see patterns!
Number Line (0-20)
0
5
10
15
20
✓ Numbers go from left (smaller) to right (bigger)
✓ Each mark represents a number
✓ Equal spaces between numbers
Using Number Lines:
To Add: Move to the RIGHT
To Subtract: Move to the LEFT
To Skip-count: Jump by the skip number
💡 Tip: Draw your own number line to help solve problems!
5. Hundred Chart
Concept: A hundred chart shows all numbers from 1 to 100 in a 10×10 grid. It's a powerful tool to see number patterns!
Hundred Chart (1-100)
Patterns in the Hundred Chart:
📍 Going DOWN: Add 10 (11, 21, 31, 41...)
📍 Going UP: Subtract 10 (45, 35, 25, 15...)
➡️ Going RIGHT: Add 1 (7, 8, 9, 10...)
⬅️ Going LEFT: Subtract 1 (20, 19, 18, 17...)
📊 Columns: All end with same digit
💡 Tip: Use the hundred chart to practice skip-counting in any direction!
6. Even or Odd Numbers
Concept: Every whole number is either EVEN or ODD. This depends on whether it can be divided into two equal groups!
EVEN Numbers
Definition: Can be split into 2 equal groups
Ends in: 0, 2, 4, 6, 8
Examples:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Visual: •• •• (pairs)
When divided by 2, no remainder
ODD Numbers
Definition: Cannot be split equally
Ends in: 1, 3, 5, 7, 9
Examples:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Visual: •• •• • (1 left over)
When divided by 2, remainder of 1
Quick Identification Rule
Look at the LAST DIGIT only!
If last digit is 0, 2, 4, 6, 8
→ EVEN
If last digit is 1, 3, 5, 7, 9
→ ODD
Even and Odd Facts:
✓ 0 is an EVEN number
✓ Even + Even = Even
✓ Odd + Odd = Even
✓ Even + Odd = Odd
✓ Skip-counting by 2 gives all even numbers
💡 Tip: Remember - if it ends in 0,2,4,6,8 it's EVEN. If it ends in 1,3,5,7,9 it's ODD!
7. Skip-Counting Stories
Concept: We can use skip-counting to solve real-life word problems! This makes counting faster and easier.
📖 Story Problem Examples
Story 1: Counting Wheels
There are 5 bicycles in the park. Each bicycle has 2 wheels. How many wheels in total?
Solution: Skip-count by 2s, five times
2, 4, 6, 8, 10
Answer: 10 wheels
Story 2: Counting Fingers
There are 4 children. Each child has 5 fingers on one hand. How many fingers total?
Solution: Skip-count by 5s, four times
5, 10, 15, 20
Answer: 20 fingers
Story 3: Counting Money
You have 3 coins worth 10 rupees each. How much money do you have?
Solution: Skip-count by 10s, three times
10, 20, 30
Answer: 30 rupees
💡 Tip: Look for groups of the same size - that's when to use skip-counting!
8. Skip-Counting Puzzles
Concept: Puzzles help us practice skip-counting in fun ways! We find missing numbers or complete patterns.
🧩 Practice Puzzles
Puzzle 1: Fill in the blanks (by 5s)
20
?
30
?
40
Answers: 25, 35
Puzzle 2: What comes next? (by 10s)
10
20
30
40
?
Answer: 50
💡 Tip: Practice puzzles every day to become a skip-counting expert!
Important Skip-Counting Rules
Even Numbers
Skip-count by 2s
All end in 0, 2, 4, 6, 8
Odd Numbers
Skip-count by 2s from 1
All end in 1, 3, 5, 7, 9
Pattern Rule
Next number = Current + Skip value
Example: 10 + 5 = 15
🎯 Tips for Counting Patterns Success 🎯
- ✓ Practice skip-counting out loud every day
- ✓ Use your fingers to count by 5s and 10s
- ✓ Look for real-life objects to count (wheels, legs, etc.)
- ✓ Use the hundred chart to see patterns
- ✓ Remember: Last digit tells if number is even or odd
- ✓ Practice both forward and backward counting
⭐ You're a Counting Pattern Master! ⭐
Amazing work learning counting patterns! You now know how to skip-count by many different numbers, use number lines and hundred charts, identify even and odd numbers, and solve counting puzzles. These skills will help you with multiplication, division, and all future math. Keep practicing and you'll count faster than ever! You're doing fantastic!