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: A small square is a square unit. What is the area of this rectangle? Explain. What fraction of the area of each rectangle is shaded blue? Name the frac...

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.

: Fundamental mathematics for adult learners. Book 4 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

This Nrich problem requires a sound understanding of the relationship between part and whole. It could be used as part of a lesson on finding fractions of numbers and quantities.

This is a look at how coins and bills are produced along with some practice with identifying and calculating using money.

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

This Nrich interactive environment can be used with students, perhaps on an interactive whiteboard, for many different purposes. These might include, for example, exploring ideas associated with factors and multiples, or addition and subtraction. It is also an ideal context in which to investigate fractions and ratio, or to look at finding combinations.

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 video explains how to draw a model of a fraction and explain the meaning of the fraction.

In this Nrich problem, the familiar context of sharing provides an opportunity in which to explore fractions in a variety of ways. The task involves finding fractional quantities of whole numbers as well as dividing a unit into equal pieces.

This short video and interactive assessment activity is designed to give fourth graders an overview of the time challenge ii lesson.

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.

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: A small square is a square unit. What is the area of this rectangle? Explain. What fraction of the area of each rectangle is shaded blue?

The goal of this task is to show that when the whole is not specified, which fraction is being represented is left ambiguous.

This Nrich activity offers free exploration that can help youngsters with their development of the concepts associated with fractions. It provides a chance for meaningful mathematical discussion and sharing of current understanding, in addition to offering opportunities for challenging misconceptions.

This short video and interactive assessment activity is designed to teach third graders about fraction of a whole.

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.