The purpose of the task is to get students to reflect on …
The purpose of the task is to get students to reflect on the definition of decimals as fractions (or sums of fractions), at a time when they are seeing them primarily as an extension of the base-ten number system and may have lost contact with the basic fraction meaning. Students also have their understanding of equivalent fractions and factors reinforced.
The purpose of this task is for students to show they understand …
The purpose of this task is for students to show they understand the connection between fraction and decimal notation by writing the same numbers both ways.
Exploring Antarctica: Standard 7.NS.2 Apply and extend previous understandings of multiplication and …
Exploring Antarctica: Standard 7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. This formative assessment exemplar was created by a team of Utah educators to be used as a resource in the classroom. It was reviewed for appropriateness by a Bias and Sensitivity/Special Education team and by state mathematics leaders. While no assessment is perfect, it is intended to be used as a formative tool that enables teachers to obtain evidence of student learning, identify assets and gaps in that learning, and adjust instruction for the two dimensions that are important for mathematical learning experiences (i.e., Standards for Mathematical Practice, Major Work of the Grade).
In this math investigation students must determine how two people can share …
In this math investigation students must determine how two people can share the food items for a picnic equally. The problem involves dividing whole numbers by two and using fractions to divide items equally. The problem is accompanied by a Teachers' Resource page that includes suggestions for approaching the problem, questions, extension ideas, and tips for support.
The CyberSquad solves the problem of giving equal parts of two apples …
The CyberSquad solves the problem of giving equal parts of two apples to Cerberus, the three headed dog of Greek mythology, in this video from Cyberchase.
This task asks students to find and use two different common denominators …
This task asks students to find and use two different common denominators to add the given fractions. The purpose of this question is to help students realize that they can use any common denominator to find a solution, not just the least common denominator.
This task asks students to use two different denominators to subtract fractions. …
This task asks students to use two different denominators to subtract fractions. The purpose of this is to help students realize that any common denominator will work, not just the least common denominator.
The purpose of this task is to provide students with a concrete …
The purpose of this task is to provide students with a concrete experience they can relate to fraction multiplication. Perhaps more importantly, the task also purposefully relates length and locations of points on a number line, a common trouble spot for students. This task is meant for instruction and would be a useful as part of an introductory unit on fraction multiplication.
Match shapes and numbers to earn stars in this fractions game. Challenge …
Match shapes and numbers to earn stars in this fractions game. Challenge yourself on any level you like. Try to collect lots of stars! The main topics of this interactive simulation include fractions, equivalent fractions, and mixed numbers.
Match shapes and numbers to earn stars in this fractions game. Challenge …
Match shapes and numbers to earn stars in this fractions game. Challenge yourself on any level you like. Try to collect lots of stars! The main topics of this interactive simulation include fractions, equivalent fractions, and mixed numbers.
This problem helps develop an understanding of the relationship between the part …
This problem helps develop an understanding of the relationship between the part and the whole. Given a square figure divided into smaller triangles, students are asked to use the pattern to divide the square into two halves, three thirds, six sixths, and nine ninths. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, ideas for extension and support, and a printable (pdf) worksheet of of the problem.
This open-ended problem requires students to use the pattern of triangles on …
This open-ended problem requires students to use the pattern of triangles on the given figure to divide the square into halves, thirds, sixths, and ninths. The problem asks students to find the part of the whole that is squares or triangles and then determine how these shapes represent each fraction of the whole. Included with this problem are teacher notes with suggestions for introducing the problem, discussion questions, support suggestions, and a printable version of the square.
This problem with multiple solutions is an opportunity for students to practice …
This problem with multiple solutions is an opportunity for students to practice finding equivalent fractions using a visual fraction bar model. The goal is for the student to develop a deep understanding of equivalent fractions using the model in order to determine a rule for finding equivalent fractions without a model. A Teacher's Note page, hints, possible solutions, and a printable page are provided.
This lesson/unit is all about Fractions! Students will access a digital learning …
This lesson/unit is all about Fractions! Students will access a digital learning site to explore fractions through multiple media sources. They will watch videos, read books, play games, and visit websites all designed to help them develop a deeper understanding of fractions. To demonstrate their knowledge, students will then work with their peers to complete a digital notebook, a hyperdoc, a jamboard, and a google form. Students will be empowered to learn because this lesson/unit gives them choice!
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