Formative Instructional and Assessment Tasks s19

Formative Instructional and Assessment Tasks

Reasoning about Adding Decimals 5.NBT.7 Task 1 Domain Numbers and Operations- Base Ten Cluster Perform operations with multi-digit whole numbers and with decimals to hundredths. Standard(s) 5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Materials Pencil, paper, graph paper (optional for Part 1) Task Reasoning about Adding Decimals

3 Mrs. Dougherty posed the following equation  0.28 = __. She received a few different 10 responses. Evaluate each response to determine of it is correct or incorrect and explain why.

See activity sheet.

Rubric Level I Level II Level III Limited Performance Not Yet Proficient Proficient in Performance  Incorrect  Finds the correct answer, but  The student correctly identifies that answer and there may be inaccuracies or Manny and Jose are correct and Sarah work are incomplete justification of and Tammy are incorrect. given. solution OR  The student provides an accurate  Uses partially correct work but response for each answer about why it is does not have a correct solution. or is not correct.

Standards for Mathematical Practice 1. 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.

NC DEPARTMENT OF PUBLIC INSTRUCTION FIFTH GRADE Formative Instructional and Assessment Tasks

Reasoning about Adding Decimals

3 Mrs. Dougherty posed the following equation  0.28 = __. She received a few different responses. Evaluate 10 each response to determine of it is correct or incorrect and explain why.

Manny Sarah

I shaded in 3 rows for 3/10 and I shaded in 2 rows and I shaded in 3 rows for 3/10 and I shaded in 28 squares 8 more squares for 0.28. I counted 58 squares so my for 0.28. I counted 58 squares so my answer is 5.8 answer is 0.58. since the decimal goes in the middle.

Tammy Jose

0.3 + 0.28 is the same as 0.3 + 0.2 + 0.08.

When you add those numbers the answer is 0.58.

I shaded in 3 squares for 3/10 and 28 squares for 0.28. I then counted 31 squares shaded so the answer is 0.31.

NC DEPARTMENT OF PUBLIC INSTRUCTION FIFTH GRADE Formative Instructional and Assessment Tasks Buying Office Supplies 5.NBT.7 Task 2 (adding and subtracting) Domain Numbers and Operations- Base Ten Cluster Perform operations with multi-digit whole numbers and with decimals to hundredths. Standard(s) 5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Materials Pencil, paper, graph paper (optional for Part 1) Task Buying Office Supplies

The Fayetteville Fencing Company needs to buy office supplies. The price list is below.

Item Weight Box of Staples $6.49 Printer Paper $26.39 Pack of Scotch Tape $28.89 Printer Cartridge $39.99

Part 1: The Office Manager has $200.00 and wants to spend as close to $200 without going over that amount. She also needs to buy at least 1 of each item. Estimate costs to the nearest dollar first to see what she can buy.

Part 2: Use the actual prices to determine the actual cost for the items you chose in Part 1.

Part 3: How close was your estimate in Part 1 to the answer in Part 2? Write a sentence about whether or not your estimate in Part 1 was close to your actual amount in Part 2.

Rubric Level I Level II Level III Limited Performance Not Yet Proficient Proficient in Performance  Incorrect  Finds the correct answer, but  Part 1: Numbers are rounded correctly answer and there may be inaccuracies or and the student found a total cost that work are incomplete justification of was close to $200 without going over. given. solution OR  Part 2: The student correctly calculated  Uses partially correct work but the cost of the items in Part 1 and used a does not have a correct solution. logical approach to find the solution.  Part 3: The student provided a reasonable description about how close

NC DEPARTMENT OF PUBLIC INSTRUCTION FIFTH GRADE Formative Instructional and Assessment Tasks the estimate in Part 1 was to the actual cost in Part 2.

Buying Office Supplies

The Fayetteville Fencing Company needs to buy office supplies. The price list is below.

Item Weight Box of Staples $6.49 Printer Paper $26.39 Pack of Scotch Tape $28.89 Printer Cartridge $39.99

Part 1: The Office Manager has $200.00 and wants to spend as close to $200 without going over that amount. She also needs to buy at least 1 of each item. Estimate costs to the nearest dollar first to see what she can buy.

Part 2: Use the actual prices to determine the actual cost for the items you chose in Part 1.

Part 3: How close was your estimate in Part 1 to the answer in Part 2? Write a sentence about whether or not your estimate in Part 1 was close to your actual amount in Part 2.

Weighing Birthday Gifts 5.NBT.7 Task 3 (adding and subtracting) Domain Numbers and Operations- Base Ten Cluster Perform operations with multi-digit whole numbers and with decimals to hundredths. Standard(s) 5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Materials Pencil, activity sheet Task Weighing Birthday Gifts

Part 1: Tyrone received some gifts at his 10th birthday party. However, there were multiple gifts in the same box. Help Tyrone determine the weights of the missing gifts in each box.

Total Box Weight of Gift 1 Gift 2 Gift 3 package Box 1 5.987 kg 2.132 kg 2.13 kg ? Box 2 7.011 kg 3.57 kg 3.423 ? Box 3 12.12 kg 2.43 kg 5.82 kg ? Box 4 8.101 kg 3.124 kg ? ?

Part 2: Write a sentence explaining how you found the weight of the gift in one of the boxes.

Rubric Level I Level II Level III Limited Performance Not Yet Proficient Proficient in Performance  Incorrect  Finds the correct answer, but  The student used appropriate strategies answer and there may be inaccuracies or to find the following answers- Box 1: work are incomplete justification of 1.725 kg, Box 2: 0.018 kg, Box 3: 3.87, given. solution OR Box 4: Multiple answers are correct as  Uses partially correct work but long as Gift 2 and 3 have a combined does not have a correct solution. weight of 4.977.

Weighing Birthday Gifts

Part 1: Tyrone received some gifts at his 10th birthday party. However, there were multiple gifts in the same box. Help Tyrone determine the weights of the missing gifts in each box.

Total Weight Box Gift 1 Gift 2 Gift 3 of package Box 1 5.987 kg 2.132 kg 2.13 kg ? Box 2 7.011 kg 3.57 kg 3.423 ? Box 3 12.12 kg 2.43 kg 5.82 kg ? Box 4 8.101 kg 3.124 kg ? ?

Part 2: Write a sentence explaining how you found the weight of the gift in one of the boxes.

NC DEPARTMENT OF PUBLIC INSTRUCTION FIFTH GRADE