🎈Understanding the Concept

• Particular Sum: The goal is to select numbers that add up to a given total.
• Purpose: Helps students practice addition skills, understand number relationships, and enhance problem-solving abilities.

🎆 Steps to Choose Numbers with a Particular Sum

Identify the Total Sum:

Clearly understand the sum you need to achieve.

• Example: The target sum is 50.

List Possible Numbers:

Think of numbers that could potentially add up to the target sum.

• Example: For a sum of 50, possible numbers could be 20, 30, 25, etc.

Test Combinations:

Add different combinations of the numbers to see if they meet the target sum.

Example:

• 20 + 30 = 50 (Correct combination)

• 25 + 15 + 10 = 50 (Another correct combination)

Check for Multiple Solutions:

There may be more than one combination that adds up to the target sum.

• Example: For a sum of 40, combinations could include 10 + 30, 20 + 20, 15 + 25, etc.

Verify the Solution:

After selecting numbers, double-check the addition to ensure it equals the target sum.

• Example: Verify 20 + 30 = 50 by adding the numbers again.

🧨 Example Problems

Example 1:

Problem: Choose numbers that add up to 60.

Solution:

• Combination 1: 20 + 40 = 60

• Combination 2: 10 + 25 + 25 = 60

• Combination 3: 30 + 30 = 60

Example 2:

Problem: Find numbers that sum to 45.

Solution:

• Combination 1: 15 + 30 = 45

• Combination 2: 20 + 25 = 45

• Combination 3: 10 + 15 + 20 = 45

Example 3:

Problem: Select numbers that add up to 75.

Solution:

• Combination 1: 25 + 50 = 75

• Combination 2: 30 + 45 = 75

• Combination 3: 20 + 30 + 25 = 75

🎉 Tips for Finding Combinations

• Start Small: Begin with smaller numbers and add up gradually to reach the target sum.
• Use Addition Facts: Recall basic addition facts to find combinations more easily.
• Write Down Combinations: List out different combinations to visually check if they meet the target sum.

🎊 Practice Exercises

Problem 1:

Choose numbers that sum to 35.

• Possible Combinations: 10 + 25, 20 + 15, 5 + 10 + 20

Problem 2:

Find numbers that add up to 50.

• Possible Combinations: 15 + 35, 20 + 30, 25 + 25

Problem 3:

Select numbers that sum to 100.

• Possible Combinations: 50 + 50, 40 + 60, 20 + 30 + 50

Learn with an example