This task gives students the opportunity to analyze two number lines in order to identify the one that correctly shows an improper fraction. Students then communicate their understanding by describing the reasoning they used to determine their answer was correct. It is aligned to evidence statement 3.C.6-1

Fraction_Number_Lines.JPGTwo number lines are shown. The first number line shows the numbers 0 through 3 and is partitioned into 6 equal parts in each whole.

The second number line shows the numbers 0 through 3 and is partitioned into 8 equal parts in each whole.

one_half.PNGThis image shows a number line with the intervals zero through four marked. One-half is marked between the zero and one.

This number line task has students reason about which fractional distance is farther.

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 asects of the task and its potential use. Here are the first few lines of the commentary for this task: The number line below shows two numbers, 0 and 1. Where is $\frac14$ on this number line? http://www.youtube.com/watch?v=HJ0LDgxVGfU...

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 asects of the task and its potential use. Here are the first few lines of the commentary for this task: The number line below shows two numbers, 0 and $\frac53$. Where is 1 on this number line? http://www.youtube.com/watch?v=wAXRjMUgiu4...

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 asects of the task and its potential use. Here are the first few lines of the commentary for this task: The number line below shows two numbers, 0 and 1. Where is $\frac74$ on this number line? http://www.youtube.com/watch?v=TEzH_PbHZIw...

The math learning center is an app and online platform that allows students to use manipulatives virtually. In this activity, students will use virtual manipulatives to add fractions with unlike denominators

Students will use the Census Business Builder: Small Business Edition data access tool to gather and analyze information that entrepreneurs may consider when opening a business. This introductory activity assumes that students have limited experience using data access tools.

In this video segment from Cyberchase, the CyberSquad must locate a crystal with the highest fraction of orange color.

In this task using a number line, students must partition the interval between 0 and 1 into eighths.

Students learn about and practice converting between fractions, decimals and percentages. Using a LEGO® MINDSTORMS® NXT robot and a touch sensor, each group inputs a fraction of its choosing. Team members convert this same fraction into a decimal, and then a percentage via hand calculations, and double check their work using the NXT robot. Then they observe the robot moving forward and record that distance. Students learn that the distance moved is a fraction of the full distance, based on the fraction that they input, so if they input ½, the robot moves half of the original distance. From this, students work backwards to compute the full distance. Groups then compete in a game in which they are challenged to move the robot as close as possible to a target distance by inputting a fraction into the NXT bot.

This simple-looking problem reveals much about how well students understand unit fractions as well as representing fractions on a number line.

Fractions on a number line including improper contains various videos, question answer, games and partner work are in this Roadmap. Also included is reteaching and an assessment.

After the Great Depression struck, Ford especially wanted to support ailing farmers. For two years, Ford and his team researched ways to use farmers’ crops in his Ford Motor Company. They discovered that the soybean was the perfect answer. Soon, Ford’s cars contained many soybean plastic parts, and Ford incorporated soybeans into every part of his life. He ate soybeans, he wore clothes made of soybean fabric, and he wanted to drive soybeans, too. The resource includes a lesson plan/book card, a design challenge, and copy of a design thinking journal that provide guidance on using the book to inspire students' curiosity for design thinking. Maker Challenge: Think about the people in your community and the challenges they face. List three challenges that affect their daily life. Consider something you use every day and brainstorm how it could be repurposed or modified to address this problem.

A document is included in the resources folder that lists the complete standards-alignment for this book activity.

In this number line task students must treat the interval from 0 to 1 as a whole, partition the whole into the appropriate number of equal sized parts, and then locate the fraction(s).

Number Line by the Math Learning center is a useful tool for students to provide strategies for addition, subtraction, multiplication and division. This extension also allows for creating number lines with fractions and negative numbers. This activity card can be used in grades tw0-five and can be adjusted for the students the teacher is working with.

Pearl Diver is a fun, interactive web-based game and app for iPad and iPhone. Players learn the number line while diving for pearls amidst shipwrecks and sunken ruins. This learning game addresses standard mathematic concepts included in the current Common Core curriculum such as:
-understanding numbers, ways of representing numbers, and number systems
-understanding and representing commonly used fractions
-understanding fractions as part of unit wholes and as locations on number lines
-comparing and ordering fractions, and finding their approximate locations on the number line
Pearl Diver is supported by supplementary materials including teacher’s guide, learner’s guide, “Teaching With Pearl Diver” video, and printable resources. It is available in English and Spanish. This game is available free on the Apple App Store.
This project was sponsored by NSF and developed by the Learning Games Lab in collaboration with researchers and mathematicians in the College of Education and College of Arts and Sciences at New Mexico State University.

Press Release Links:
http://newscenter.nmsu.edu/Articles/view/7833

Pearl Diver ACE award
http://newscenter.nmsu.edu/Articles/view/5230

Funding for Math Snacks (includes image of Pearl Diver)
http://newscenter.nmsu.edu/Articles/view/4828

Links to scholarly publications:

Trespalacios, J., & Chamberlin, B. (2012). Pearl Diver: Identifying numbers on a number line. Teaching Children’s Mathematics, 18, 446-447.