1. What Fraction of the Mural Does Each Letter Occupy?

1. What Fraction of the Mural Does Each Letter Occupy?

<p>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.</p><p>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.</p><p>1. What fraction of the mural does each letter occupy?</p><p>D = ______E = ______V = ______I = ______N = ______</p><p>S = ______H = ______A = ______W = ______</p><p>2. Explain how you determined the fraction for each section: </p><p>______</p><p>______</p><p>______</p><p>______</p><p>______</p><p>______3. What fraction of the mural is occupied by vowels? Write a number sentence to show your solution.</p><p>4. What fraction of the mural is occupied by consonants? Write a number sentence to show your solution.</p><p>5. What is the difference in area between the consonants and vowels? Write a number sentence to show your solution.</p><p>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.</p><p>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.</p><p>1. What fraction of the mural does each letter occupy?</p><p>D = E = V = I = N = </p><p>S = H = A = W = </p><p>2. Explain how you determined the fraction for each section: Answers will vary.</p><p>Possible explanation: </p><p>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 </p><p>Another Possible Explanation: D is of the picture. S is of D which means it is of , thus equaling . </p><p>S + H = . Therefore, H is because + H = . A + W = ; + = = </p><p>I + N = a half of D = I = N + N + N</p><p>E + V = a half of D = E = V + V + V</p><p>3. What fraction of the mural is occupied by vowels? Write a number sentence to show your solution.</p><p>A = E = I = + + = </p><p>4. What fraction of the mural is occupied by consonants? Write a number sentence to show your solution.</p><p>- = </p><p>5. What is the difference in area between the consonants and vowels? Write a number sentence to show your solution.</p><p>- = </p><p>6. What three letters occupy the same area as the letter A? Write a number sentence to show your solution. </p><p>E, N, and V or I, N, and V</p><p>A = E = I = V = N = </p><p>= + + </p>

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