This Nrich problem offers carefully chosen examples intended to give students the opportunity to prove that any recurring decimal can be written as a fraction. Together with the problems Terminating or Not and Tiny Nines, this problem offers valuable insights into the relationship between fractional and decimal representations.

In this video segment from Cyberchase, Jackie and Inez figure out how to break an Electro-Root into 2/5, one of the ingredients for the antidote to MotherboardŒë_í_Œ_ virus.

Students will use the Rhythm experiment on Google's Musiclab Chrome Music Lab to create a rhythm. Students will then use the rhythm they created to write three fraction questions and answer them.

The purpose of this task is for students to compare two fractions that arise in a context. Because the fractions are equal, students need to be able to explain how they know that.

This task involves fraction multiplication and can be solved with pictures or number lines.

This task builds on a fifth grade fraction multiplication task, Ň5.NF Running to School, Variation 1.Ó This task uses the identical context, but asks the corresponding ŇNumber of Groups UnknownÓ division problem. See Ň6.NS Running to School, Variation 3Ó for the ŇGroup Size UnknownÓ version.

The purpose of this task is to have students add fractions with unlike denominators and divide a unit fraction by a whole number.

This Nrich problem lets you spot misconceptions your students have about subtraction and division of fractions, while giving students an opportunity to practice the procedures in an intriguing context - students' curiosity will be raised by the strange patterns in the calculations, and we hope they will yearn to explain what is happening.

This Nrich activity will be very useful when wishing to challenge and extend pupils' spatial awareness with 2D shapes. It can also be an exercise in perseverance.

The topic of music can make a good connection between science and mathematics
The nature of sound and the working of the ear are rich areas of applied mathematics.
The ratio emphasis follows from harmonics or overtones and rests on ideas like lowest common multiple.

Unit 4: Dividing Fractions
Lesson 1: Size of Divisor and Size of Quotient

The first three lessons of this unit help students make sense of division situations. In this opening lesson, students begin thinking about the relationships between the numbers in a division equation. They see that they can estimate the size of the quotient by reasoning about the relative sizes of the divisor and the dividend.

Students begin exploring these relationships in concrete situations. For example, they estimate how many thinner and thicker objects are needed to make a stack of a given height, and how many segments of a certain size make a particular length.

Later, they generalize their observations to division expressions (MP7). Students become aware that dividing by a number that is much smaller than the dividend results in a quotient that is larger than 1, that dividing by a number that is much larger than the dividend gives a quotient that is close to 0, and that dividing by a number that is close to the dividend results in a quotient that is close to 1.

This Nrich activity engages the pupils in both a spatial and numerical context. It gives them also the freedom to choose how they go about it - visualizing in their head, using paper, string etc. that they have requested and/or making use of a spreadsheet. They can learn a lot from adopting one method and then realizing that an alternative method would be better.

Unit 4: Dividing Fractions
Lesson 16: Solving Problems Involving Fractions

In this lesson, students use their understanding of and their facility with all four operations to represent and solve problems involving fractions. The last activity requires students to make sense of the problem and persevere in solving it (MP1).

This task uses language, "half of the stamps," that students in Grade 5 will come to associate with multiplication by the fraction 12. In Grade 3, many students will understand half of 120 to mean the number obtained by dividing 120 by 2. For students who are unfamiliar with this language the task provides a preparation for the later understanding that a fraction of a quantity is that fraction times the quantity.

This short video and interactive assessment activity is designed to teach fifth graders about subtracting mixed numbers with different denominators.

This short video and interactive assessment activity is designed to teach fifth graders about adding fractions with common denominators.

This short video and interactive assessment activity is designed to teach fifth graders about subtracting fractions with different denominators.

This short video and interactive assessment activity is designed to teach fifth graders about subtracting mixed numbers with common denominators.

This task provides a familiar context allowing students to visualize multiplication of a fraction by a whole number. This task could form part of a very rich activity which includes studying soda can labels.