This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use. Here are the first few lines of the commentary for this task: Alysha really wants to ride her favorite ride at the amusement park one more time before her parents pick her up at 2:30 pm. There is a very long line ...
This Essential Learning document highlights those Common Core Standards identified for sixth …
This Essential Learning document highlights those Common Core Standards identified for sixth grade as the priority standards for the year. It also documents the necessary prerequisite skills for each of the identified Essential Standards, when it will be taught within the IM curriculum and how it will be assessed.
One common mistake students make when dividing fractions using visuals is the …
One common mistake students make when dividing fractions using visuals is the confusion between remainder and the fractional part of a mixed number answer.
This math task involves concepts, procedure, and application of fraction division; devotes …
This math task involves concepts, procedure, and application of fraction division; devotes attention to a mathematically important case (dividend equal to 1); builds on fraction division work from fifth grade; and, engages students in constructing viable arguments and critiquing the arguments of others. Students use visual models to support understanding, work individually and collaboratively, and share their developing thinking in order to determine how many servings of rice they consumed if they ate 1 full cup and there are 2/3 cup to a serving.
This task builds on a fifth grade fraction multiplication task and uses …
This task builds on a fifth grade fraction multiplication task and uses the identical context, but asks the corresponding ŇNumber of Groups UnknownÓ division problem.
This task builds on a fifth grade fraction multiplication task and uses …
This task builds on a fifth grade fraction multiplication task and uses the identical context, but asks the corresponding ŇNumber of Groups UnknownÓ division problem.
These two fraction division tasks use the same context and ask ŇHow …
These two fraction division tasks use the same context and ask ŇHow much in one group?Ó but require students to divide the fractions in the opposite order. Students struggle to understand which order one should divide in a fraction division context, and these two tasks give them an opportunity to think carefully about the meaning of fraction division.
These problems are meant to be a progression which require more sophisticated …
These problems are meant to be a progression which require more sophisticated understandings of the meaning of fractions as students progress through them.
This Check Your Readiness Assessment is used in conjunction with the Illustrative …
This Check Your Readiness Assessment is used in conjunction with the Illustrative Mathematics Curriculum. It breaks down identifying the Essential Standard associated. This assessment should be utilized with the uploaded rubric to determine levels of prerequisite skills when beginning a new unit and allow for placement of interventions.
This Check Your Readiness Rubric is used in conjunction with the Illustrative …
This Check Your Readiness Rubric is used in conjunction with the Illustrative Mathematics Curriculum. It breaks down each question by identifying the Essential Standard associated and then defining what an Advanced, Proficient, Basic or Below Basic student response would entail. This rubric can then be utilized to determine levels of prerequisite skills when beginning a new unit and allow for placement of interventions.
This End of Unit Assessment is used in conjunction with the Illustrative …
This End of Unit Assessment is used in conjunction with the Illustrative Mathematics Curriculum.There is an included of multiple choice and open ended questions. This aligns to the rubric also included at the end of the assessment. This End of Unit Assessment Rubric is used in conjunction with the Illustrative Mathematics Curriculum. It breaks down each question by identifying the Essential Standard associated and then defining what an Advanced, Proficient, Basic or Below Basic student response would entail. This rubric can then be utilized for students to track progress towards proficiency on each of the grade level standards
This Mid Unit Assessment is used in conjunction with the Illustrative Mathematics …
This Mid Unit Assessment is used in conjunction with the Illustrative Mathematics Curriculum.There is an included of multiple choice and open ended questions. This aligns to the rubric also included at the end of the assessment. This Mid Unit Assessment Rubric is used in conjunction with the Illustrative Mathematics Curriculum. It breaks down each question by identifying the Essential Standard associated and then defining what an Advanced, Proficient, Basic or Below Basic student response would entail. This rubric can then be utilized for students to track progress towards proficiency on each of the grade level standards.
This is the first of two fraction division tasks that use similar …
This is the first of two fraction division tasks that use similar contexts to highlight the difference between the ŇNumber of Groups UnknownÓ a.k.a. ŇHow many groups?Ó (Variation 1) and ŇGroup Size UnknownÓ a.k.a. ŇHow many in each group?Ó (Variation 2) division problems.
This is the second of two fraction division tasks that use similar …
This is the second of two fraction division tasks that use similar contexts to highlight the difference between the ŇNumber of Groups UnknownÓ a.k.a. ŇHow many groups?Ó (Variation 1) and ŇGroup Size UnknownÓ a.k.a. ŇHow many in each group?Ó (Variation 2) division problems.
This task builds on a fifth grade fraction multiplication task, Ň5.NF Running …
This task builds on a fifth grade fraction multiplication task, Ň5.NF Running to School, Variation 1.Ó This task uses the identical context, but asks the corresponding ŇNumber of Groups UnknownÓ division problem. See Ň6.NS Running to School, Variation 3Ó for the ŇGroup Size UnknownÓ version.
It is much easier to visualize division of fraction problems with contexts …
It is much easier to visualize division of fraction problems with contexts where the quantities involved are continuous. It makes sense to talk about a fraction of an hour. The context suggests a linear diagram, so this is a good opportunity for students to draw a number line or a double number line to solve the problem.
This task could be used in instructional activities designed to build understandings …
This task could be used in instructional activities designed to build understandings of fraction division. With teacher guidance, it could be used to develop knowledge of the common denominator approach and the underlying rationale.
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