So I'm doing this portfolio item for math and I just really really need help with the explain it part!
Use your design and analysis to write a website posting describing the process
readers can use to make a string of pennant flags using any length string and any
size square. Your posting should include the following:
step-by-step instructions
a formula that can be used to find the diagonal length of any paper square
and a formula that can be used to find the total number of triangles needed
diagrams that make the instructions and formulas easier to understand
an explanation of why this craft project must involve estimation and your
recommended level of precision that readers should use
To write a website posting explaining the process of making a string of pennant flags using any length string and any size square, you can follow these steps:
Step 1: Start by gathering the required materials. This includes a string, paper squares of any size, scissors, and adhesive (like glue or tape).
Step 2: Cut out paper squares of your desired size. The size can vary depending on your preference, but for the purpose of explaining, let's say each square has a side length of 's'.
Step 3: To find the diagonal length of any paper square, you can use the Pythagorean theorem. The formula for finding the length of the diagonal 'd' of a square with side length 's' is: d = √(s² + s²). This can be simplified to d = √(2s²).
Step 4: Next, you need to determine the total number of triangles needed. Each pennant flag requires one triangle. The number of triangles will depend on the length of the string and the size of the squares. To calculate this number, you can use the formula: t = L/d, where 'L' represents the length of the string, and 'd' is the diagonal length of the square. Make sure to round this number up to the nearest whole number since you cannot have a fraction of a triangle.
Step 5: Explain the steps of constructing the pennant flags. Start by folding each paper square in half diagonally to form a triangle. Then, place the string at the folded edge of the triangle, and secure it with adhesive. Repeat this process for the desired number of triangles, spacing them evenly along the string.
Step 6: Include diagrams in your posting to make the instructions and formulas easier to understand. Visual representations will enhance the clarity of your explanations and help readers follow along.
Step 7: Explain why this craft project involves estimation. Since the length of the string and the size of the squares may not be exact or divisible evenly, some amount of estimation is required. For instance, if the calculated number of triangles is not a whole number, readers may need to adjust the spacing between triangles to ensure an aesthetically pleasing arrangement.
Step 8: Recommend a level of precision for readers to use. Depending on the desired outcome and the materials available, suggest an appropriate level of precision for measuring and cutting the squares. For example, if accuracy is not critical, readers can use rough measurements and less precise cutting techniques. However, if precision is important, recommend using rulers and careful measurements to ensure consistency.
By following these steps and including the necessary explanations, formulas, and diagrams, your website posting will provide clear instructions for readers to make a string of pennant flags using any length string and any size square.