Penny Weight Mathematical Goals *Solve two-step problems using more than one operation *Convert dollars to pennies *Use multiplication within 100 to solve word problems. Common Core Standards OA.7: Multiply and divide within 100. OA.1, OA.3: Represent and solve problems involving multiplication and division. OA.8, OA.9: Solve problems involving the four operations, and identify and explain patterns in arithmetic. NBT.3: Use place value understanding and properties of operations to perform multi-digit arithmetic.4 MD.2: Solve problems involving measurement and estimation of interval of time, liquid volumes, and masses of objects. Prior Knowledge Needed Vocabulary Materials Grams, multiplication, estimation Grams, weight, admission, penny, dollar, scale Roll of pennies (two if preferable), pencil, paper, scale (with grams), Math book for extension, Math Journal. Launch Time: Pass a roll of pennies around and ask students to estimate the weight. Explore Time: Task: Rolls of coins are sometimes weighed to check how many are inside. A penny weighs about 3g. You are going to the movies tonight but you only have pennies to pay for your ticket! How much will your admission weigh in penny weight? Questions to ask: What tools can you use? What have you done? Show me your thinking. What does this mean? Can you explain it to me. How do you know? Is there another way? Is there another factor we are forgetting? Debrief Time: Facilitators look for: -Conversion between dollars and pennies -Correct use of multiplication (instead of repeated addition) -Understanding of grams -Different ways to show correct thinking Questions you could ask: Compare your answer with those of the other students. Does another person’s answer change your way of thinking? Explain how you would help someone else understand your thinking. Extensions A: How much would it weigh in pennies for you to buy a carton of chocolate milk at school? B: How much would it weigh in pennies to buy a carton of chocolate milk for your entire class? C: Which weighs more, your math book, or the pennies it would cost you to purchase your math book? Assessment Possible assessments to choose from: -Observe student’s stamina, participation, and effort during exploration. -Have students write journal entry answering one of the Debrief questions: Compare your answer with those of the other students. Does another person’s answer change your way of thinking? Explain how you would help someone else understand your thinking. -Grade using Math Task Rubric (will be on wiki soon) Weber District-Math Expressions: Lesson 13-9 Task: Rolls of coins are sometimes weighed to check how many are inside. A penny weighs about 3g. You are going to the movies tonight but you only have pennies to pay for your ticket! How much will your admission weigh in penny weight? Extensions: A: How much would it weigh in pennies for you to buy a carton of chocolate milk at school? B: How much would it weigh in pennies to buy a carton of chocolate milk for your entire class? C: Which weighs more, your math book, or the pennies it would cost you to purchase your math book? Video: http://cnettv.cnet.com/how-pennies-made/9742-1_53-50020706.html
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