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Solving Mug Sales Problem Using Guess and Check Strategy

This activity aligns with Illinois State Goal 6.B.1.6.B.3a, focusing on practical computation using whole numbers, integers, and rational numbers. The scenario involves Mary McDonald, a mug maker in Miami, who sells small mugs for $2.50 and large mugs for $5.75. After making $56 in sales and with inventory changes from 200 to 188 mugs, students will utilize a guess and check strategy (or algebra) to determine how many mugs were sold at each price. The problem is structured to enhance problem-solving skills in a real-world context.

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Solving Mug Sales Problem Using Guess and Check Strategy

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  1. Problem Solving – Short Response 1 Fuller Computer Lab

  2. This activity addresses the following Illinois State Goal. • 6.B.1 6.B.3a Solve practical computation problems involving whole numbers, integers and rational numbers. Fuller Computer Lab

  3. Rubric Fuller Computer Lab

  4. Rubric Fuller Computer Lab

  5. Rubric Fuller Computer Lab

  6. Mugs Guess and Check • Mary McDonald makes mugs in Miami. She makes two sizes of mugs: a small mug that she sells for $2.50 and a large mug that she sells for $5.75. Yesterday Mary made $56. Before she opened her shop in the morning, she had 200 mugs in her inventory. At the end of the day she has 188. How many mugs of each price did she sell? • We can use a guess and check strategy to find this answer. (or algebra) Fuller Computer Lab

  7. Mary McDonald makes mugs in Miami. She makes two sizes of mugs: a small mug that she sells for $2.50 and a large mug that she sells for $5.75. Yesterday Mary made $56. Before she opened her shop in the morning, she had 200 mugs in her inventory. At the end of the day she has 188. How many mugs of each price did she sell? • What do we know? • Two sizes, small costs $2.50, large $5.75. • Yesterday, Mary made $56. • She had 200 mugs to start, and ended with 188. • What do we need to find? • How many mugs of each price did Mary sell? Fuller Computer Lab

  8. Guess and Check Mary McDonald makes mugs in Miami. She makes two sizes of mugs: a small mug that she sells for $2.50 and a large mug that she sells for $5.75. Yesterday Mary made $56. Before she opened her shop in the morning, she had 200 mugs in her inventory. At the end of the day she has 188. How many mugs of each price did she sell? Fuller Computer Lab

  9. This is a 12 point problem • Tell what you know. • Tell what you need to find out. • Explain what you are going to do to find the answer and why that will give the answer • Show all your work. Fuller Computer Lab

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