CCSS Mathematics Assessment Task Comparing Number Cards Grade Level: 2 Mathematics Domain and Cluster: Domain: Number and Operations in Base Ten Cluster: Understand Place Value Common Core standard(s) being assessed (if the task is intended to assess only one part of the standard, underline that part of the standard): 2.NBT.1 Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases: a. 100 can be thought of as a bundle of ten tens — called a “hundred.” b. The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight or nine hundreds (and 0 tens and 0 ones). 2.NBT.4 Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, < symbols to record the results of comparisons. Student Materials: Comparing Number Cards assessment sheet Pencil Differentiation Option: Number Cards Teacher Materials: Number Cards (Optional) Directions (for teacher to administer assessment task): Pass out Comparing Number Cards assessment sheet Tell students, “You will need to compare two three digit numbers, write the numbers and correct symbol in the blank, and explain your answer using numbers, pictures, or words.” Read prompt aloud to students. Remind students, “ Do not forget to put your numbers and correct symbol in the spaces. Also, remember to explain your answers using pictures, numbers, or words.” Have students work independently on the task. Differentiation Options: Allow students to use number cards Teacher assess with small group of students Allow students to provide oral responses Prompt: See attachment CCSS Mathematics Assessment Task Correct or Model Answer: Problem 1: 471 > 452 Four hundred seventy one is greater than four hundred fifty two because there are four hundreds in 471 and four hundreds in 452. There are seven tens in 471 and five tens in 452. Since there are 7 tens which equals to 70 in 471 and 5 tens which equals to 50 in 452, 471 is greater than 452. 400 + 70 + 1 = 471 400 + 50 + 2 = 452 Both numbers have four hundred. There are 7 tens in 471 but 5 tens in 452. Since 7 tens is greater than 5 tens 471 is greater than 452. . .. There are 4 hundreds in 471 and 4 hundreds in 452. There are 7 tens in 471 but 5 tens in 452 so 452 is the greater number. Problem 2: 123 = 123 One hundred twenty three is equal to one hundred twenty three because the numbers both have one hundred, which is equal. They also both have two tens which equals to twenty. Finally, both numbers have three ones, which is equal. Because the hundred, tens, and ones are all equal, the numbers are equal. 100 + 20 + 3 = 123 100 + 20 + 3 = 123 Both numbers have 1 hundred, 2 tens, and 3 ones and that is why the numbers are equal. … … The numbers are equal because both numbers have 1 hundred, 2 tens, and 3 ones. CCSS Mathematics Assessment Task Scoring Guide/Rubric (a score should be awarded for each criterion below) Criteria (CCSS code) 0 points 1 Point Compare two three-digit numbers based on meanings of the hundreds, tens and ones digits, using >, =, and < symbols to record the results of comparisons. (2.NBT.4) Student is unable to create two numbers that have three digits AND incorrectly uses the correct symbol to compare the two numbers OR does not use a symbol to compare the quantities. Student is able to create at least one three digit number, circles the greater number but is unable to use the correct symbol to compare the two numbers Understand that the three digits of a three-digit number represent amounts of hundreds, tens and ones. (2.NBT.1) Student is unable to use pictures, equations, or explanations to explain the comparison. Their reasoning has misconceptions. Student is able to use pictures, equations or words to explain their reasoning but the explanation does not have references to place value and/or comparisons. 2 Point Student is able to create two three digit numbers, circles the greater number and uses the correct symbol to compare the two three digit numbers. Student is able to use place value pictures, expanded notation or words with place value and comparison vocabulary to explain their reasoning. CCSS Mathematics Assessment Task Comparing Number Cards Second Grade Mathematics Assessment Problem 1: 0 2 4 7 Use the following number cards to make a three-digit number that is greater than 452. Compare your two numbers using the <, >, or = symbol. ____ ____ ____ > 452 Explain why your number is greater using pictures, numbers, and/or words. 9 CCSS Mathematics Assessment Task Problem 2: 0 1 2 3 4 5 6 7 Use the number cards again to compare two three-digit numbers. Circle the greater number. Compare your two numbers using the <, >, or = symbol. ____ ____ ____ ____ ____ ____ Explain your answer using pictures, numbers, and/or words. 8 9