1. What Fraction of the Mural Does Each Letter Occupy?
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In Mrs. Jung’s art class, she is having her class paint a mural for Open House. She is teaching her students about monochromatic painting which uses only one color in different tints, shades, and tones.
Devin created the following mural that is 16 inches long on each side and has an area of 256 square inches. He then placed a letter of his first and last name in each box.
1. What fraction of the mural does each letter occupy?
D = ______E = ______V = ______I = ______N = ______
S = ______H = ______A = ______W = ______
2. Explain how you determined the fraction for each section:
______
______
______
______
______
______3. What fraction of the mural is occupied by vowels? Write a number sentence to show your solution.
4. What fraction of the mural is occupied by consonants? Write a number sentence to show your solution.
5. What is the difference in area between the consonants and vowels? Write a number sentence to show your solution.
6. What three letters occupy the same area as the letter A? Write a number sentence to show your solution. In Mrs. Jung’s art class, she is having her class paint a mural for Open House. She is teaching her students about monochromatic painting which uses only one color in different tints, shades, and tones.
Devin created the following mural that is 16 inches long on each side and has an area of 256 square inches. He then placed a letter of his first and last name in each box.
1. What fraction of the mural does each letter occupy?
D = E = V = I = N =
S = H = A = W =
2. Explain how you determined the fraction for each section: Answers will vary.
Possible explanation:
I divided the painting into the smaller parts based on the size of N and V since they were the smallest area of the painting. There were a total of 32 parts. Then I calculated the areas of the letters based on that information. Example: S = or
Another Possible Explanation: D is of the picture. S is of D which means it is of , thus equaling .
S + H = . Therefore, H is because + H = . A + W = ; + = =
I + N = a half of D = I = N + N + N
E + V = a half of D = E = V + V + V
3. What fraction of the mural is occupied by vowels? Write a number sentence to show your solution.
A = E = I = + + =
4. What fraction of the mural is occupied by consonants? Write a number sentence to show your solution.
- =
5. What is the difference in area between the consonants and vowels? Write a number sentence to show your solution.
- =
6. What three letters occupy the same area as the letter A? Write a number sentence to show your solution.
E, N, and V or I, N, and V
A = E = I = V = N =
= + +