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NC.5.NBT.1Danny & DelilahDomainNumber and Operations in Base TenClusterUnderstand the place value system. Standard(s)NC.5.NBT.1 Explain the patterns in the place value system from one million to the thousandths place.Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Explain patterns in products and quotients when numbers are multiplied by 1,000, 100, 10, 0.1, and 0.01 and/or divided by 10 and 100. MaterialsPaper and pencilTaskDanny and Delilah were playing a game where they drew digits and placed them on a game board. Danny built the number 247. Delilah built the number 724. How much bigger is the 2 in Danny’s number than the 2 in Delilah’s number? How much smaller is the 4 in Delilah’s number than the 4 in Danny’s number? Write a sentence explaining how the size of the 7 in Danny’s number compares to the size of the 7 in Delilah’s number. RubricLevel INot YetLevel IIProgressingLevel IIIMeets ExpectationsStudent is not yet able to describe and compare the values of the digit’s in Danny and Delilah’s numbers. Student accurately completes at least 2 of the following bullets:Student work demonstrates understanding that the value of the digit depends on its location in the number.Student states that the 2 in Danny’s number is ten times greater than the 2 in Delilah’s number.Student states that the 4 in Delilah’s number is one tenth OR ten times smaller the value of the 4 in Danny’s number. Student creates a statement explaining either that the 7 in Danny’s number is 1/100 the value of the 7 in Delilah’s number OR that the 7 in Delilah’s number is 100 times the 7 in Danny’s number.Student accurately completes all of the following bullets:Student work demonstrates understanding that the value of the digit depends on its location in the number.Student states that the 2 in Danny’s number is ten times greater than the 2 in Delilah’s number.Student states that the 4 in Delilah’s number is one tenth OR ten times smaller the value of the 4 in Danny’s number. Student creates a statement explaining either that the 7 in Danny’s number is 1/100 the value of the 7 in Delilah’s number OR that the 7 in Delilah’s number is 100 times the 7 in Danny’s number.Standards for Mathematical Practice1. Makes sense and perseveres in solving problems.2. Reasons abstractly and quantitatively.3. Constructs viable arguments and critiques the reasoning of others.4. Models with mathematics.5. Uses appropriate tools strategically.6. Attends to precision.7. Looks for and makes use of structure.8. Looks for and expresses regularity in repeated reasoning. Danny and DelilahDanny and Delilah were playing a game where they drew digits and placed them on a game board. Danny built the number 247. Delilah built the number 724. How much bigger is the 2 in Danny’s number than the 2 in Delilah’s number? How much smaller is the 4 in Delilah’s number than the 4 in Danny’s number? Write a sentence explaining how the size of the 7 in Danny’s number compares to the size of the 7 in Delilah’s number. Scoring Examples This student received Met because the student stated that the 2 in Danny’s number is ten times greater than the 2 in Delilah’s number. The student stated that the 4 in Delilah’s number is one tenth the value of the 4 in Danny’s number. The student stated that the 7 in Delilah’s number is 100 times the 7 in Danny’s number.This student received Progressing because the student correctly stated that Danny’s number was ten times bigger. The student also stated that the 4 in Delilah’s number is ten times smaller. The student stated the value of the digit 7 without referring to how the values compared.This student received Not Yet because the student was unable to describe and compare the values of the digit’s in Danny and Delilah’s numbers. ................
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