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Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
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Also assesses:
- Assessment Limits :
Denominators are limited to 2, 3, 4, 6, and 8. Items are limited to combining or putting together unit fractions rather than formal addition or subtraction of fractions. Maintain concept of a whole as one entity that can be equally partitioned in various ways when working with unit fractions. Fractions a/b can be fractions greater than 1. Items may not use the term “simplify” or “lowest terms” in directives. Items may not use number lines. Shapes may include: quadrilateral, equilateral triangle, isosceles triangle, regular hexagon, regular octagon, and circle. - Calculator :
No
- Context :
Allowable for 3.NF.1.1; no context for 3.G.1.2
MAFS.3.G.1.2
- Test Item #: Sample Item 1
- Question:
Each model shown has been shaded to represent a fraction. Which model shows
shaded? - Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 2
- Question:
Each model shown has been shaded to represent a fraction. Which model shows
shaded? - Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 3
- Question:
A figure is shown. Part of the figure is shaded.
Which fraction of the total area of the figure does the shaded part represent?
- Difficulty: N/A
- Type: EE: Equation Editor
- Test Item #: Sample Item 4
- Question:
A figure is shown. Part of the figure is shaded.
Which fraction of the total area of the figure does the shaded part represent?
- Difficulty: N/A
- Type: EE: Equation Editor
- Test Item #: Sample Item 5
- Question:
Each shape shown represents
of a whole.
How many shapes should be put together to make
? - Difficulty: N/A
- Type: EE: Equation Editor
Related Courses
Related Access Points
Related Resources
Educational Games
Educational Software / Tool
Formative Assessments
Image/Photograph
Lesson Plans
Original Student Tutorials
Presentation/Slideshow
Problem-Solving Tasks
Student Center Activity
Teaching Idea
Tutorials
Virtual Manipulatives
MFAS Formative Assessments
Students are read a word problem about a wall being painted and asked to describe what three-eighths of the wall means.
Students are read a word problem about a student who has run three-fourths of a race and asked to describe what that means.
Students are shown the fraction one fifth and asked to describe what it means.
Students are shown three circles and asked to select the one that correctly shows one third shaded and explain why the other two do not.
Original Student Tutorials Mathematics - Grades K-5
Learn about unit fractions and how to partition number lines to plot unit fractions' locations. Join Nik, Natalia, and their neighborhood friends on a number line fraction finding adventure in this interactive tutorial.
Learn to name or identify fractions, especially unit fractions, and justify the fractional value using an area model in this pizza-themed, interactive tutorial.
Student Resources
Original Student Tutorials
Learn about unit fractions and how to partition number lines to plot unit fractions' locations. Join Nik, Natalia, and their neighborhood friends on a number line fraction finding adventure in this interactive tutorial.
Type: Original Student Tutorial
Learn to name or identify fractions, especially unit fractions, and justify the fractional value using an area model in this pizza-themed, interactive tutorial.
Type: Original Student Tutorial
Educational Games
Test your fraction skills by answering questions on this site. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. You can even choose difficulty level, question types, and time limit.
Type: Educational Game
In this interactive Flash game, students are challenged to identify a fraction from a picture of a group of objects or from a geometric diagram, or they are asked to create a diagram or picture given a common fraction. Motivation is provided by earning buckets of sand to built a sand castle.
Type: Educational Game
Educational Software / Tool
This interactive, online game is a fun way for students to practice identifying fractions. In this lesson students identify fractions to help a man hop his way across a river.
Type: Educational Software / Tool
Presentation/Slideshow
This is an accessible, easy-to-read book introducing fractions. It can be downloaded in PowerPoint, Impress, and Flash formats. For struggling or non-readers the book can be read aloud in a variety of voices. All of the books on the Tar Heel Reader site can be used with the Intellikeys keyboard with a custom overlay, a touch screen, and/or 1-3 switches. The text and background colors can be modified for students with visual impairments.
Type: Presentation/Slideshow
Problem-Solving Tasks
This task is designed to help students focus on the whole that a fraction refers. It provides a context where there are two natural ways to view the coins. While the intent is to deepen a student's understanding of fractions, it does go outside the requirements of the standard.
Type: Problem-Solving Task
The goal of this task is to show that when the whole is not specified, which fraction is being represented is left ambiguous.
Type: Problem-Solving Task
Student Center Activity
Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.
Type: Student Center Activity
Tutorials
Students will view a video that explains that a fraction is the quantity formed by 1 part when a whole is partitioned into equal parts. Students will then have opportunities to practice this concept with assorted problems and are given immediate feedback as to the accuracy of their responses.
Type: Tutorial
This tutorial for student audiences reviews basic introductory information on fractions. Students will review that a fraction is part of a whole, a fraction is less than 1 whole thing, but more than 0, how to determine pieces of a whole and how to write fractions.
Type: Tutorial
Virtual Manipulatives
This virtual manipulative offers activities that allow the learner to explore fractions by building fractions, making equivalent fractions, and matching fractions.
Type: Virtual Manipulative
This virtual manipulative will help the students to build fractions from shapes and numbers to earn stars in this fraction lab. To challenge the children there are multiple levels, where they can earn lots of stars.
Some of the sample learning goals can be:
- Build equivalent fractions using numbers and pictures.
- Compare fractions using numbers and patterns
- Recognize equivalent simplified and unsimplified fractions
Type: Virtual Manipulative
This virtual manipulative allows individual students to work with fraction relationships. (There is also a link to a two-player version.)
Type: Virtual Manipulative
Parent Resources
Image/Photograph
Illustrations that can be used for teaching and demonstrating fractions. Fractional representations are modeled in wedges of circles ("pieces of pie") and parts of polygons. There are also clipart images of numerical fractions, both proper and improper, from halves to twelfths. Fraction charts and fraction strips found in this collection can be used as manipulatives and are ready to print for classroom use.
Type: Image/Photograph
Presentation/Slideshow
This is an accessible, easy-to-read book introducing fractions. It can be downloaded in PowerPoint, Impress, and Flash formats. For struggling or non-readers the book can be read aloud in a variety of voices. All of the books on the Tar Heel Reader site can be used with the Intellikeys keyboard with a custom overlay, a touch screen, and/or 1-3 switches. The text and background colors can be modified for students with visual impairments.
Type: Presentation/Slideshow
Problem-Solving Tasks
This task is designed to help students focus on the whole that a fraction refers. It provides a context where there are two natural ways to view the coins. While the intent is to deepen a student's understanding of fractions, it does go outside the requirements of the standard.
Type: Problem-Solving Task
The goal of this task is to show that when the whole is not specified, which fraction is being represented is left ambiguous.
Type: Problem-Solving Task
Teaching Idea
By making popcorn together with your child you may also introduce the concept of fractions.
Type: Teaching Idea
Tutorial
This tutorial for student audiences reviews basic introductory information on fractions. Students will review that a fraction is part of a whole, a fraction is less than 1 whole thing, but more than 0, how to determine pieces of a whole and how to write fractions.
Type: Tutorial
Virtual Manipulatives
This virtual manipulative offers activities that allow the learner to explore fractions by building fractions, making equivalent fractions, and matching fractions.
Type: Virtual Manipulative
This virtual manipulative will help the students to build fractions from shapes and numbers to earn stars in this fraction lab. To challenge the children there are multiple levels, where they can earn lots of stars.
Some of the sample learning goals can be:
- Build equivalent fractions using numbers and pictures.
- Compare fractions using numbers and patterns
- Recognize equivalent simplified and unsimplified fractions
Type: Virtual Manipulative
