This task is a think-pair-share activity designed for fifth graders learning about properties of numbers, specifically odd numbers. Students are given a statement about odd numbers and must determine whether they agree or disagree with the statement. A template is given for students to make a claim and provide an argument to back the claim. Students must then consult with a partner and compare arguments. Students will use knowledge of the properties of both odd and even numbers.
Microsoft Word version: 5_OA_PropertyOddEvenSums_ThinkPairShare_Critique
PDF version: 5_OA_PropertyOddEvenSums_ThinkPairShare_Critique
This task is a multi-digit multiplication problem addressing the associative property for fifth-grade students. Students are given the statement 22 x (36 x 5) = (22 x 36) x 5, and after examining both expressions, are given two questions to critique. Scaffolded questions are provided with argumentation language to break down the problem and address the associative property.
Microsoft Word version: 5_OA_PropertyAssociative_Problem_Critique
PDF version: 5_OA_PropertyAssociative_Problem_Critique
Kelly’s Solution is a multi-digit multiplication problem in which fifth grade students are asked to crtique the work of a student. The student work highlights a common error of forgetting to leave a place holder when multiplying by the ten’s place during multiplication. Students must recognize the student’s error by examining the work shown, correcting the error, and providing the correct answer to the problem.
Microsoft Word version: 5_OA_MultiplicationMultiDigitAlgorithm_Problem_Critique_KellysSolution
PDF version: 5_OA_MultiplicationMultiDigitAlgorithm_Problem_Critique_KellysSolution
This task is an argument frame for fifth graders on multiplication. Students are given a problem on collecting a number of acorns a day for a week and two solutions, one solving the problem by using groups and multiplying by seven and the other by adding the number of acorns collected a day seven times. Through the graphic organizer, students have a place to provide the details of their critique of the solutions, such as their claim, evidence, and warrants.
Microsoft Word version: 5_OA_Multiplication_ArgumentFrame_Critique
PDF version: 5_OA_Multiplication_ArgumentFrame_Critique
Ted and JP is a task designed for fifth graders in working on division and estimation. A problem is presented in which students must estimate a quotient, and students must critique two estimations and decide which is better. This requires students to critically think about how to make a good estimation. Students must state which estimation is better and explain the answer.
Microsoft Word version: 5_OA_EstimationDivision_Problem_Critique_TedAndJP
PDF version: 5_OA_EstimationDivision_Problem_Critique_TedAndJP
Jake’s Idea is a problem for fifth graders on division with remainders. Students are given a statement that a four-digit number will have a remainder when being divided by 4 and must take a stance. Through argumentation language, students must critique the statement and give evidence to support their claim.
Microsoft Word version: 5_OA_DivisionRemainders_Problem_Critique_JakesIdea
PDF version: 5_OA_DivisionRemainders_Problem_Critique_JakesIdea
Fraction differences is a task designed for fifth graders to critique a comparison of two differences of fractions. The task highlights the skills of finding a common denominator, finding equivalent fractions, subtracting fractions, and comparing fractions. Students must agree or disagree with the student’s comparison of the differences, and explain his or her answer.
Microsoft Word version: 5_NF_FractionsSubtraction_Problem_Critique_FractionDifferences
PDF version: 5_NF_FractionsSubtraction_Problem_Critique_FractionDifferences
Turkish Delight is a task developed for fifth graders working on multiplication of fractions. Students must understand how to take a fraction of a fraction by using multiplication. Students are then asked to compare the resulting fraction with a given fraction and critique a student’s comparison. The task asks the student to explain reasoning. When making the comparison, students must either convert fractions to decimals, or find common denominators, because the fractions will have different denominators, which may be an area for discussion with the class.
Microsoft Word version: 5_NF_FractionsMultiplication_Problem_Critique_TurkishDelight
PDF version: 5_NF_FractionsMultiplication_Problem_Critique_TurkishDelight
Harvesting Corn is a problem on fraction multiplication for fifth graders. Students are given the number of acres harvested and amount of days in a mixed number. The questions are scaffolded to require transformation of the mixed number to improper fraction, subtraction, and the final multiplication question that asks students to critique the thinking of a worker through argumentative language.
Microsoft Word version: 5_NF_FractionsMultiplication_Problem_Critique_HarvestingCorn
PDF version: 5_NF_FractionsMultiplication_Problem_Critique_HarvestingCorn
This task is created for fifth-grade students learning how to multiply fractions. Students are asked to critique the statement that half of a quarter is the same as a quarter of a half through multiple questions allowing for the problem to be visualized and broken down. A modification to the problem is presented to contain specific argumentation language, including as claim and evidence.
Microsoft Word version: 5_NF_FractionsMultiplication_Problem_Critique_5-11
PDF version: 5_NF_FractionsMultiplication_Problem_Critique_5-11