Problem Description:
The task involves solving a multiplication table and coloring the squares based on the results using a provided key. The multiplication table is partially filled, and the goal is to complete it by calculating the products of the numbers in the rows and columns. Once the products are calculated, the squares should be colored according to the following key:
-
1-20: Red-Orange
-
21-40: Blue
-
41-60: Black
-
61-100: Black
-
Blank squares: White
Solution Approach:
1.
Identify the Rows and Columns:
- The rows are labeled with numbers (e.g., 6x, 7x, etc.).
- The columns are labeled with numbers (e.g., 3x3, 4x4, etc.).
2.
Calculate the Products:
- For each cell in the table, multiply the row number by the column number.
- For example, for the cell at the intersection of "6x" and "3x3", the product is \(6 \times 3 = 18\).
3.
Color the Squares:
- Use the key to determine the color for each product:
- If the product is between 1 and 20, color the square Red-Orange.
- If the product is between 21 and 40, color the square Blue.
- If the product is between 41 and 60, color the square Black.
- If the product is greater than 60, color the square Black.
- If the square is blank, leave it white.
4.
Complete the Table:
- Fill in all the missing products and color the corresponding squares.
Step-by-Step Calculation and Coloring:
Let's calculate a few examples to illustrate the process:
#### Example 1: Intersection of "6x" and "3x3"
- Row: \(6\)
- Column: \(3\)
- Product: \(6 \times 3 = 18\)
- Color: Red-Orange (since 18 is between 1 and 20)
#### Example 2: Intersection of "7x" and "4x4"
- Row: \(7\)
- Column: \(4\)
- Product: \(7 \times 4 = 28\)
- Color: Blue (since 28 is between 21 and 40)
#### Example 3: Intersection of "8x" and "5x5"
- Row: \(8\)
- Column: \(5\)
- Product: \(8 \times 5 = 40\)
- Color: Blue (since 40 is between 21 and 40)
#### Example 4: Intersection of "9x" and "6x6"
- Row: \(9\)
- Column: \(6\)
- Product: \(9 \times 6 = 54\)
- Color: Black (since 54 is between 41 and 60)
#### Example 5: Intersection of "10x" and "7x7"
- Row: \(10\)
- Column: \(7\)
- Product: \(10 \times 7 = 70\)
- Color: Black (since 70 is greater than 60)
General Pattern:
- Continue this process for all cells in the table.
- Ensure that each product is correctly calculated and colored according to the key.
Final Answer:
The completed table will have all products calculated and colored according to the key. Since I cannot physically color the table here, the final answer is the process described above. If you need specific calculations for any cell, feel free to ask!
Final Answer:
\[
\boxed{\text{Follow the steps above to complete the table and color the squares.}}
\]
Parent Tip: Review the logic above to help your child master the concept of math multiplication coloring page.