I used this task to continue our 5th grade discussion about multiplying fractions. Prior to this talk frame, our class discussed the difference between multiplying whole numbers and multiplying fractions, and explored why fractions multiplied together result in a fraction that contains smaller pieces. Students struggled with the deeper conceptual understanding of why, and this talk frame supported that discussion.
Microsoft Word version: 5_NF_FractionsMultiplication_Problem_Construct_AngelasIdea
PDF version: 5_NF_FractionsMultiplication_Problem_Construct_AngelasIdea
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
Making Hot Cocoa is a task on fraction multiplication and division for a fifth-grade classroom. Students are given a certain amount of cocoa powder and the fraction amount needed for each cup. Through a series of questions containing argumentative language, students are asked to construct a response to how many cups of cocoa they can make. Students are to construct a solution through a variety of methods, including pictures, mental thought, multiplication, and division. Sample solutions and commentary are provided.
Microsoft Word version: 5_NF_FractionsMultiplicationDivision_Problem_Construct_MakingHotCocoa
PDF version: 5_NF_FractionsMultiplicationDivision_Problem_Construct_MakingHotCocoa
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
This is a task designed for fifth graders learning how to multiply mixed numbers. Students are asked to critique a student’s strategy to multiply mixed numbers, which ends up addressing a common misconception in multiplication of mixed numbers. Students must determine if adding the product of the whole numbers to the product of the fractions is equal to multiplying the two mixed numbers. Students are asked to decide if this is a rule that works, and explain their answer.
Microsoft Word version: 5_NF_FractionsMultiplication_Problem_Critique_5-32
PDF version: 5_NF_FractionsMultiplication_Problem_Critique_5-32
This task was used with 4th and 5th graders because it focused on multiplying fractions by whole numbers and converting common measurements. The main objective was to use a real world situation so that students would develop a deeper understanding of multiplying fractions by whole numbers as well as converting ounces and cups.
Microsoft Word version: 5_NF_FractionsMultiplication_Problem_Construct
PDF version: 5_NF_FractionsMultiplication_Problem_Construct
This task was used with fifth graders to critique argumentation. We had been working on multiplying fractions, so students had a solid understanding of the concept. This task was developed to help students identify the parts of a good argument in order for them to give feedback to their peers. We focused on claim, basis of argument, evidence, reasoning and mechanics. This aligned with the rubric we used when scoring the arguments.
Microsoft Word version: 5_NF_FractionsMultiplication_PeerFeedback_Critique
PDF version: 5_NF_FractionsMultiplication_PeerFeedback_Critique