Instructions:
Fill in the missing parts to complete each number bond.
Number Bonds for 5:
Ways to make 5: 0+5, 1+4, 2+3, 3+2, 4+1, 5+0
Number Bonds for 7:
7 = 7
7 = 3 + 4
Answers:
Ways to make 7: 0+7, 1+6, 2+5, 3+4, 4+3, 5+2, 6+1, 7+0
Practice Problems:
Complete: 8 = 5 + ?, 9 = 6 + ?, 10 = 7 + ?
Instructions:
Break apart each number into two different groups.
Decomposing 8:
8 = 3 + 5, 8 = 4 + 4, 8 = 2 + 6, etc.
Decomposing 9:
9 circles total
Group 1: 3
Group 2: 6
Answers:
9 = 0+9, 1+8, 2+7, 3+6, 4+5, 5+4, 6+3, 7+2, 8+1, 9+0
Practice Problems:
Break apart: 10 into 3 + ?, 7 into 2 + ?, 9 into 4 + ?
Instructions:
Find the missing number in each number bond.
Example Problems:
6 = 2 + 4, so the missing number is 4.
Pattern Recognition:
Notice the pattern when decomposing 7:
As one number increases, the other decreases by the same amount.
Answers:
6 = 2 + 4, 8 = 3 + 5, 10 = 4 + 6
Challenge Problems:
Complete: 9 = ? + 4, 7 = ? + 2, 10 = ? + 3
Key Components:
- Clear instructions: Simple, direct language
- Visual models: Number bonds, circles, groups
- Graduated difficulty: Start simple, increase complexity
- Practice problems: Reinforce concepts
- Answer keys: For self-checking
Visual Elements:
- Number bonds: Show part-whole relationships
- Circles: Represent individual units
- Groups: Show how numbers are composed
- Arrows: Indicate relationships
- Colors: Differentiate parts
Learning Objectives:
- Understand part-whole relationships
- Recognize number patterns
- Develop number flexibility
- Build foundation for addition/subtraction
- Improve number sense
Word Problems:
Problem 1: Tom has 8 apples. He puts some in his backpack and some in his lunch box. If he puts 3 in his backpack, how many are in his lunch box?
Solution:
8 = 3 + 5, so 5 apples are in the lunch box.
More Problems:
Problem 2: Sarah has 6 stickers. She gives 2 to her friend. How many does she have left?
Problem 3: There are 9 birds on a tree. Some fly away, and 4 are left. How many flew away?
Answers:
Problem 1: 5 apples, Problem 2: 4 stickers, Problem 3: 5 birds
Extension:
Create your own word problems using numbers 1-10.
Mixed Problems:
Composing: 3 + 4 = ?, 2 + 6 = ?, 5 + 3 = ?
Decomposing: 7 = 2 + ?, 9 = 4 + ?, 6 = 1 + ?
Number Bonds: Complete: 8 = ? + 5, 10 = 7 + ?
Visual Practice:
Show 8 in different ways
8 = 4 + 4
8 = 3 + 5
Challenge Problems:
Which number can be made with 4 and 6? What other ways can you make this number?
Find 3 different ways to make 10.
Answers:
4 + 6 = 10. Other ways: 0+10, 1+9, 2+8, 3+7, 5+5, etc.
Three ways to make 10: 1+9, 2+8, 3+7
Review:
Practice all numbers from 5 to 10.
Key Definitions:
- Composing numbers: Putting parts together to make a whole number
- Decomposing numbers: Breaking a number into smaller parts
- Number bonds: Visual representations showing part-whole relationships
- Part-whole relationship: Numbers can be broken into parts and parts can be combined to make a whole
- Number flexibility: Ability to see numbers in different ways
Core Rules:
- Part + Part = Whole (composition)
- Whole - Part = Other Part (decomposition)
- For any number n: n = 0+n, 1+(n-1), 2+(n-2), ..., n+0
- Commutative property: a + b = b + a
- Number bonds show the relationship between parts and whole
Step-by-Step Methods:
- Identify the whole: Determine the target number
- Find the parts: Look for combinations that make the whole
- Use visual models: Draw circles, groups, or number bonds
- Verify: Check that parts add up to the whole
Teaching Tips:
- Use your hands! Hold up fingers to show number bonds
- Think of numbers as "friends" that like to play together
- Look for patterns: as one number gets bigger, the other gets smaller
- Practice every day with small numbers (up to 10) to build strong foundations
- Use concrete objects like blocks or toys to visualize concepts
Common Mistakes:
- Forgetting to include the combination where one part is zero
- Mixing up the concept of parts and whole
- Not working systematically when finding all combinations
- Forgetting to verify that parts add up to the whole
Success Strategies:
- Start with all objects in one group, then move them one by one
- Use visual models consistently to build understanding
- Practice with manipulatives before moving to abstract thinking
- Connect concepts to real-world situations
- Encourage multiple representations of the same number
Practice Problems:
- Find all ways to make 8 using number bonds
- Complete the number bond: 9 = 4 + ?
- Decompose 10 into two equal parts
- Solve: Tom has 7 cookies. He eats 3. How many are left?
Worksheet Design Guide
Instructions: Clear, simple directions
Visual models: Number bonds, circles, groups
Practice problems: Graduated difficulty
Answer keys: For self-checking
Concrete: Start with physical objects
Pictorial: Use visual representations
Abstract: Move to symbolic notation
Flexibility: Same number, different parts
Patterns: As one part increases, the other decreases
Verification: Always check that parts add to whole