Let's solve this step by step.
The task is to
write a "doubles fact" and a
"doubles plus one" problem for each given number.
---
🔍 What are these?
-
Doubles Fact: A sum where both addends are the same.
Example: 5 + 5 = 10
-
Doubles Plus One: A sum where one number is doubled, and then 1 is added.
Example: 5 + 6 = 11 (since 5 + 5 = 10, and 10 + 1 = 11)
So, for each number in the "Number" column:
- The
Doubles Fact will be: `number/2 + number/2 = number` (if the number is even)
- The
Doubles Plus One will be: `(number - 1)/2 + (number - 1)/2 + 1 = number` → i.e., two numbers that are consecutive, adding up to the target.
But notice: the
"Doubles Plus One" column already gives the
sum, so we need to find two numbers that add to that sum, where one is one more than the other (i.e., like n + (n+1)).
Let’s go row by row.
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✔ Step-by-step Solutions:
| Number | Doubles Fact | Doubles plus 1 |
|--------|---------------------|-------------------------|
| 10 | 5 + 5 = 10 | 5 + 6 = 11 |
| 2 | 1 + 1 = 2 | 1 + 2 = 3 |
| 6 | 3 + 3 = 6 | 3 + 4 = 7 |
| 14 | 7 + 7 = 14 | 7 + 8 = 15 |
| 0 | 0 + 0 = 0 | 0 + 1 = 1 |
| 12 | 6 + 6 = 12 | 6 + 7 = 13 |
| 16 | 8 + 8 = 16 | 8 + 9 = 17 |
| 8 | 4 + 4 = 8 | 4 + 5 = 9 |
| 18 | 9 + 9 = 18 | 9 + 10 = 19 |
| 20 | 10 + 10 = 20 | 10 + 11 = 21 |
| 4 | 2 + 2 = 4 | 2 + 3 = 5 |
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✔ Final Answer Table:
| Number | Doubles Fact | Doubles plus 1 |
|--------|---------------------|-------------------------|
| 10 | 5 + 5 = 10 | 5 + 6 = 11 |
| 2 | 1 + 1 = 2 | 1 + 2 = 3 |
| 6 | 3 + 3 = 6 | 3 + 4 = 7 |
| 14 | 7 + 7 = 14 | 7 + 8 = 15 |
| 0 | 0 + 0 = 0 | 0 + 1 = 1 |
| 12 | 6 + 6 = 12 | 6 + 7 = 13 |
| 16 | 8 + 8 = 16 | 8 + 9 = 17 |
| 8 | 4 + 4 = 8 | 4 + 5 = 9 |
| 18 | 9 + 9 = 18 | 9 + 10 = 19 |
| 20 | 10 + 10 = 20 | 10 + 11 = 21 |
| 4 | 2 + 2 = 4 | 2 + 3 = 5 |
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🧠 Explanation:
For each number:
-
Doubles Fact: Take half of the number and add it to itself.
-
Doubles Plus One: Use the same number as in doubles, but add one more — so you get two consecutive numbers that add up to the total shown.
This strategy helps students build fluency in addition using known facts (like doubles) and extend them to near-doubles.
✔ All problems are solved correctly using logic and pattern recognition!
Parent Tip: Review the logic above to help your child master the concept of doubles and doubles plus one worksheet.