The task involves completing a series of circles by multiplying the number in the center by the numbers in the middle ring to get the outer numbers. Let's break this down step by step.
General Approach:
1.
Identify the Center Number: Each circle has a central number.
2.
Multiply the Center Number by Each Middle Ring Number: Multiply the central number by each number in the middle ring.
3.
Place the Results in the Outer Ring: Write the results of the multiplications in the corresponding positions in the outer ring.
Example Walkthrough:
Let’s solve one of the circles as an example:
#### Circle 1:
-
Center Number: 5
-
Middle Ring Numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9
Now, multiply the center number (5) by each middle ring number:
- \( 5 \times 1 = 5 \)
- \( 5 \times 2 = 10 \)
- \( 5 \times 3 = 15 \)
- \( 5 \times 4 = 20 \)
- \( 5 \times 5 = 25 \)
- \( 5 \times 6 = 30 \)
- \( 5 \times 7 = 35 \)
- \( 5 \times 8 = 40 \)
- \( 5 \times 9 = 45 \)
So, the outer ring numbers are: 5, 10, 15, 20, 25, 30, 35, 40, 45.
Applying the Same Logic to All Circles:
We will repeat this process for each circle. Here is the solution for all the circles:
#### Circle 1 (Center = 5):
- Middle Ring: 1, 2, 3, 4, 5, 6, 7, 8, 9
- Outer Ring: 5, 10, 15, 20, 25, 30, 35, 40, 45
#### Circle 2 (Center = 6):
- Middle Ring: 1, 2, 3, 4, 5, 6, 7, 8, 9
- Outer Ring: 6, 12, 18, 24, 30, 36, 42, 48, 54
#### Circle 3 (Center = 7):
- Middle Ring: 1, 2, 3, 4, 5, 6, 7, 8, 9
- Outer Ring: 7, 14, 21, 28, 35, 42, 49, 56, 63
#### Circle 4 (Center = 8):
- Middle Ring: 1, 2, 3, 4, 5, 6, 7, 8, 9
- Outer Ring: 8, 16, 24, 32, 40, 48, 56, 64, 72
#### Circle 5 (Center = 9):
- Middle Ring: 1, 2, 3, 4, 5, 6, 7, 8, 9
- Outer Ring: 9, 18, 27, 36, 45, 54, 63, 72, 81
Final Answer:
Here are the completed outer rings for all the circles:
1.
Circle 1 (Center = 5): 5, 10, 15, 20, 25, 30, 35, 40, 45
2.
Circle 2 (Center = 6): 6, 12, 18, 24, 30, 36, 42, 48, 54
3.
Circle 3 (Center = 7): 7, 14, 21, 28, 35, 42, 49, 56, 63
4.
Circle 4 (Center = 8): 8, 16, 24, 32, 40, 48, 56, 64, 72
5.
Circle 5 (Center = 9): 9, 18, 27, 36, 45, 54, 63, 72, 81
Thus, the final answer is:
\[
\boxed{
\begin{array}{c}
\text{Circle 1: } 5, 10, 15, 20, 25, 30, 35, 40, 45 \\
\text{Circle 2: } 6, 12, 18, 24, 30, 36, 42, 48, 54 \\
\text{Circle 3: } 7, 14, 21, 28, 35, 42, 49, 56, 63 \\
\text{Circle 4: } 8, 16, 24, 32, 40, 48, 56, 64, 72 \\
\text{Circle 5: } 9, 18, 27, 36, 45, 54, 63, 72, 81 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of printable times table activities ks2.