Batting Orders is a task designed for fifth graders developing skills with decimals. Students must critique a student response that has to order three decimals from least to greatest. The decimals all go to thousandths place value. Students must be able to compare the decimals and order them. The task uses argumentation language by asking students to state a claim and consider warrants.
Microsoft Word version: 5_NBT_DecimalsOrdering_Problem_Critique_BattingOrders
PDF version: 5_NBT_DecimalsOrdering_Problem_Critique_BattingOrders
Different Ideas is a problem designed for fifth-grade students to understand rounding decimals to the nearest hundredth. Two responses are given as to what a decimal rounded to the nearest hundredth is and students are to critique the response and choose a side. The task uses argumentation language when specifically asking for the claim and evidence.
Microsoft Word version: 5_NBT_DecimalsRounding_Problem_Critique_DifferentIdeas
PDF version: 5_NBT_DecimalsRounding_Problem_Critique_DifferentIdeas
Ordering Decimals with Zero Digits is a family of tasks on decimals to help fifth graders understand if decimals with more zero digits are greater than those without zero digits. In the first example given, the zeros are in the hundredths and thousandths place values, and the decimals to be ordered have the same number in the tenths place. In the second example, the ones, tenths, and hundredths place values are the same, while the zeros lie in the thousandths and ten-thousandths place. Both examples provide multiple variations and extensions to enforce stronger critiques of the given responses and to contain argumentation language.
Microsoft Word version: 5_NBT_DecimalsOdering_FamilyOfTasks_Critique_OrderingDecimalsWithZeroDigits
PDF version: 5_NBT_DecimalsOdering_FamilyOfTasks_Critique_OrderingDecimalsWithZeroDigits
This task is designed for fifth graders and uses a visual picture of a 100% block. It asks students to critique two student responses that state how much of the block is shaded. Each student takes a different approach, but essentially states equivalent answers. One student looks at all of the pieces individually, as 23 ones, and the other student looks at the pieces like place values, as 2 tens and 3 ones. Students must recognize that these are two different ways to arrive at the same answer. Students are asked to draw pictures and use words to explain how the two students came about the answer in different ways.This task is an excellent example of how students may use different interpretations and methods to solve the same problem.
Microsoft Word version: 5_NBT_DecimalsEquivalence_Problem_Critique
PDF version: 5_NBT_DecimalsEquivalence_Problem_Critique
Dividing by a Decimal is a family of tasks on decimals to help fifth graders understand decimal division. Students are given a statement where a whole number is divided by a decimal and are to critique the provided answer. Different variations of the question are provided with scaffolding and argumentation language to promote stronger critiques of the response that include a claim and evidence.
Microsoft Word version: 5_NBT_DecimalsDivision_FamilyOfTasks_Critique_DividingByADecimal
PDF version: 5_NBT_DecimalsDivision_FamilyOfTasks_Critique_DividingByADecimal
The task, Comparing Decimals, is created for fifth graders working on reading decimals and learning about place value of decimals. Students are asked to compare two decimals. The task offers two different variations: students are asked to either critique the correct answer or critique an incorrect answer. The incorrect response addresses a common error in which students believe a number to be larger based on the number of digits visible or based on larger digits after the decimal point. The task includes argumentation language including claim and warrants.
Microsoft Word version: 5_NBT_DecimalsComparing_FamilyOfTasks_Critique_ComparingDecimals
PDF version: 5_NBT_DecimalsComparing_FamilyOfTasks_Critique_ComparingDecimals
This multi-digit multiplication task was used with fourth-grade students. Students are asked to critique a statement on if two numbers multiplied together are equal to two numbers added together. After an initial conjecture, students share their ideas with a partner and identify similarities and differences between the two arguments. This task contains argumentative language, including claim and evidence.
Microsoft Word version: 4_NBT_Multiplication_ThinkPairShare_Critique_1
PDF version: 4_NBT_Multiplication_ThinkPairShare_Critique_1
This task is designed as a think-pair-share. It sets a multiplication expression equal to an addition expression and asks students to agree or disagree about the equality. Fourth grade students are given a template to state a claim, and explain it, then compare arguments. This task can be used to open a class discussion about different ways to think about double digit multiplication. Students can look at 10×24 as (10×20)+(10×4) which would show the comparison between 10×24 and 200+40 nicely.
Microsoft Word version: 4_NBT_Multiplication_ThinkPairShare_Critique
PDF version: 4_NBT_Multiplication_ThinkPairShare_Critique
This task is an application of double-digit subtraction. Students must critique student work that uses subtraction incorrectly. The student work highlights a common error in multi-digit subtraction in which students forget to borrow when subtracting a larger digit from a smaller digit. The task encourages partner share and uses argumentation language including claim and evidence.
Microsoft Word version: 3_NBT_SubtractionMultiDigitAlgorithm_Problem_Critique
PDF version: 3_NBT_SubtractionMultiDigitAlgorithm_Problem_Critique
Airplanes in the Toyshop is a multi-digit subtraction problem used in a third-grade classroom to reinforce the use of the subtraction algorithm. Students are given a word problem about how many planes are left after a certain amount are sold and must critique a student response. Argumentation language is used when asking students to create a claim and provide evidence when critiquing the provided response.
Microsoft Word version: 3_NBT_SubtractionMultiDigitAlgorithm_Problem_Critique_AirplanesInTheToyshop
PDF version: 3_NBT_SubtractionMultiDigitAlgorithm_Problem_Critique_AirplanesInTheToyshop