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.

In this 35-day Grade 3 module, students extend and deepen second grade practice with "equal shares" to understanding fractions as equal partitions of a whole. Their knowledge becomes more formal as they work with area models and the number line.

This 20-day module gives students their first opportunity to explore decimal numbers via their relationship to decimal fractions, expressing a given quantity in both fraction and decimal forms.  Utilizing the understanding of fractions developed throughout Module 5, students apply the same reasoning to decimal numbers, building a solid foundation for Grade 5 work with decimal operations.

Students are familiar with the number line and determining the location of positive fractions, decimals, and whole numbers from previous grades. Students extend the number line (both horizontally and vertically) in Module 3 to include the opposites of whole numbers. The number line serves as a model to relate integers and other rational numbers to statements of order in real-world contexts. In this module's final topic, the number line model is extended to two-dimensions, as students use the coordinate plane to model and solve real-world problems involving rational numbers.

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).