Solved Exercises on Addition Within 10 in Grade 1

Master addition within 10: counting strategies, number bonds, and visual representations through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Counting Strategy
Exercise 1
Add: 3 + 4 = ?
🍎🍎🍎 + 🍎🍎🍎🍎 = ?
Definition:

Addition: Combining two or more groups to find the total amount

Counting method:
  1. Start with the first number (3)
  2. Count up by the second number (4 more)
  3. Count: 4, 5, 6, 7
  4. The final count is the answer
Problem
3 + 4
Counting
3 → 4 → 5 → 6 → 7
Answer
7
Step 1: Start with 3

Count: 1, 2, 3

Step 2: Count 4 more

Count: 4, 5, 6, 7

Step 3: Final count

Total: 7

3 + 4 = 7
Final answer:

3 + 4 = 7

Applied rules:

• Counting on: Start with the larger number and count up

• Order doesn't matter: 3 + 4 = 4 + 3

• Total: The sum represents the combined quantity

2 Number Bond Method
Exercise 2
Add: 5 + 3 = ?
🎯🎯🎯🎯🎯 + 🎯🎯🎯 = ?
Definition:

Number Bonds: Pairs of numbers that combine to make another number

Problem
5 + 3
Number Bond
5 and 3 make 8
Answer
8
Step 1: Identify the parts

We have 5 and 3

Step 2: Combine the parts

5 + 3 = 8

Step 3: Check the whole

5 and 3 together equal 8

5 + 3 = 8
Final answer:

5 + 3 = 8

Applied rules:

• Part-Part-Whole: Two parts combine to make a whole

• Commutative Property: Order doesn't change the sum

• Number Recognition: Know combinations that make numbers

3 Making 10 Strategy
Exercise 3
Add: 6 + 4 = ?
⭐⭐⭐⭐⭐⭐ + ⭐⭐⭐⭐ = ?
Definition:

Making 10: Using combinations that equal 10 as a benchmark

Problem
6 + 4
Strategy
6 needs 4 to make 10
Answer
10
Step 1: Look for 10

6 + 4 makes exactly 10

Step 2: Recognize the pattern

6 and 4 are number partners for 10

Step 3: State the answer

6 + 4 = 10

6 + 4 = 10
Final answer:

6 + 4 = 10

Applied rules:

• Number Partners: Pairs that add to 10 (1+9, 2+8, 3+7, 4+6, 5+5)

• Place Value Foundation: Understanding 10 as a benchmark

• Mental Math: Quick recognition of number combinations

Rules and methods, laws,...
A + B = C
Basic Addition
Commutative Property
A + B = B + A
Order doesn't matter
Identity Property
A + 0 = A
Adding zero changes nothing
Associative Property
(A + B) + C = A + (B + C)
Grouping doesn't matter
Key definitions:

Addition: Combining quantities to find a total

Sum: The answer in an addition problem

Addends: The numbers being added together

Addition Strategies:
  1. Counting On: Start with one number and count up
  2. Using Fingers: Physical representation of numbers
  3. Number Bonds: Part-whole relationships
  4. Visual Models: Pictures, dots, or objects
  5. Memory: Known facts and patterns
Tip 1: Always start with the bigger number when counting on.
Tip 2: Practice number bonds for 10: 1+9, 2+8, 3+7, 4+6, 5+5.
Tip 3: Draw pictures or use objects to visualize the addition.
Tip 4: Check your work by counting all items together.
Common errors: Miscounting, forgetting to count on from the starting number, adding the wrong numbers.
Key facts to memorize: Doubles (1+1, 2+2, etc.), +1 facts, +0 facts.
Addition Facts to Know:

• Adding zero: Any number + 0 = that number

• Adding one: Count up by one

• Doubles: 1+1=2, 2+2=4, 3+3=6, 4+4=8, 5+5=10

• Near doubles: 4+5=9 (one more than 4+4)

• Making 10: 6+4=10, 7+3=10, 8+2=10, 9+1=10

Solution: Exercises 4 to 5
4 Doubles Plus One
Exercise 4
Add: 4 + 5 = ?
🔷🔷🔷🔷 + 🔷🔷🔷🔷🔷 = ?
Definition:

Doubles Plus One: Adding consecutive numbers using known doubles

Problem
4 + 5
Strategy
4 + 4 + 1 = 9
Answer
9
Step 1: Recognize near doubles

4 + 5 are consecutive numbers

Step 2: Use known double

I know 4 + 4 = 8

Step 3: Add one more

8 + 1 = 9

4 + 5 = 9
Final answer:

4 + 5 = 9

Applied rules:

• Near Doubles: Use doubles fact and adjust by 1

• Pattern Recognition: Identify consecutive numbers

• Mental Math: Build on known facts

5 Visual Counting Strategy
Exercise 5
Add: 2 + 7 = ?
❤️❤️ + ❤️❤️❤️❤️❤️❤️❤️ = ?
Definition:

Visual Counting: Using mental or physical objects to represent numbers

Problem
2 + 7
Strategy
Start with 7, count 2 more
Answer
9
Step 1: Start with larger number

Begin counting from 7

Step 2: Count up by smaller number

Count: 8, 9

Step 3: Final count

2 + 7 = 9

Step 4: Verify with objects

Count all hearts: 1,2,3,4,5,6,7,8,9

2 + 7 = 9
Final answer:

2 + 7 = 9

Applied rules:

• Efficient Counting: Start with the larger number

• One-to-One Correspondence: Each object counted once

• Verification: Double-check by counting all

Addition Within 10: Comprehensive Guide
A + B = Sum
Addition Structure
Key definitions:

Addition: The operation of combining two or more quantities to find a total

Addends: The numbers being added together (A and B in A + B)

Sum: The result of an addition problem (the answer)

Complete methodology:
  1. Identify the numbers: Recognize the addends in the problem
  2. Choose a strategy: Counting on, using fingers, visual models, or memory
  3. Execute the strategy: Follow the chosen method systematically
  4. Verify the result: Check by recounting or using a different method
Tip 1: Always start counting from the larger number to make it faster.
Tip 2: Practice making 10: knowing that 6+4=10 helps with many problems.
Tip 3: Use your fingers as a physical model when needed.
Tip 4: Draw circles or dots to represent each number.
Common errors: Starting to count from 1 instead of the first number, miscounting, forgetting to count the last number.
Success strategies: Use multiple methods to verify answers, practice regularly, build fluency with basic facts.
Addition Properties:

• Commutative Property: A + B = B + A (order doesn't matter)

• Identity Property: A + 0 = A (adding zero changes nothing)

• Associative Property: (A + B) + C = A + (B + C) (grouping doesn't matter)

Essential Addition Facts:

Doubles: 1+1=2, 2+2=4, 3+3=6, 4+4=8, 5+5=10

+1 Facts: Adding one means counting up by one

+0 Facts: Any number plus zero equals itself

Making 10: 1+9, 2+8, 3+7, 4+6, 5+5

Near Doubles: 4+5 (one more than 4+4), 2+3 (one more than 2+2)

Addition Strategies Summary:

Counting On: Start with first number, count up by second number

Using Doubles: Leverage known double facts

Number Bonds: Understand part-whole relationships

Visual Models: Use drawings, fingers, or manipulatives

Mental Math: Develop automaticity with practice

Key Learning Points:

• Addition combines quantities to find totals

• The order of addends doesn't affect the sum

• Patterns exist in addition facts (doubles, making 10)

• Multiple strategies can be used to solve the same problem

• Regular practice builds fluency and confidence

Common Mistakes to Avoid:

• Starting to count from 1 instead of the first number

• Not counting the starting number when counting on

• Confusing addition with subtraction

• Rushing without verifying the answer

• Not recognizing number patterns

Questions & Answers

Question: My child struggles with addition problems like 3 + 4. They start counting from 1 every time instead of starting from 3 and counting up 4 more. How can I help them understand the counting-on strategy?

Answer: This is a very common challenge! Here are strategies to help your child understand counting on:

  • Physical demonstration: Have your child touch the first number (3 objects) and say "three," then count each additional object: "four, five, six, seven."
  • Use a number line: Show them starting at 3 and taking 4 jumps forward to reach 7.
  • Verbal cues: Say "We start at 3 and count 4 more: 4, 5, 6, 7."
  • Practice with manipulatives: Use blocks, counters, or toys to physically demonstrate the concept.

The key is helping them understand that they don't need to recount what's already there - they just add to it. Start with smaller numbers and gradually increase difficulty.

Question: Why does 4 + 5 equal the same thing as 5 + 4? It seems like they should be different since the numbers are switched around.

Answer: Great question! This happens because of something called the commutative property of addition. Let me explain:

Visual example: If you have 4 apples and 5 oranges, you have 9 fruits total. If you have 5 oranges and 4 apples, you still have 9 fruits total. The order you count them doesn't change how many you have.

Real-world connection: Whether you put 4 toys in a box and then add 5 more, or put 5 toys first and then add 4 more, you end up with 9 toys in the box.

This property helps us because if you know 5 + 4 = 9, then you automatically know 4 + 5 = 9 without having to figure it out again!

Question: My child finds it hard to remember addition facts like 6 + 4 = 10. Are there specific strategies to help them memorize these important combinations?

Answer: Yes! The "making 10" facts are crucial for future math success. Here are effective strategies:

  • Pattern recognition: Teach the pairs that make 10: 1+9, 2+8, 3+7, 4+6, 5+5. These are like "number partners."
  • Visual aids: Use ten frames or fingers to show how numbers fit together to make 10.
  • Games and repetition: Play matching games where children pair numbers that add to 10.
  • Story connections: Create stories like "6 and 4 went to the party and made 10 friends."
  • Practice in context: Use word problems involving making 10.

Focus on these facts because they become building blocks for adding larger numbers later on.