Students begin module 2 by using visual models and an understanding of divisibility to find the greatest common factor and least common multiple of pairs of numbers. Then, students apply their previous understanding of multiplication and division to divide fractions by fractions. They model fraction division expressions with tape diagrams and double number lines, use common denominators to divide fractions by fractions, and then develop and apply the invert and multiply strategy. Students use standard algorithms to fluently add, subtract, and multiply decimals, and apply those skills in real-world applications. They extend their understanding of division from prior grades to use the standard division algorithm to divide multi-digit numbers and decimals.
In topic B, students divide fractions by whole numbers and whole numbers by fractions. They model fraction division with tape diagrams and number lines, reason about the relationship between multiplication and division, and interpret fraction division problems as number of groups unknown or group size unknown. At the end of the topic, students divide fractions by fractions by creating common denominators.
6.C.3: Solve real-world problems with positive fractions and decimals by using one or two operations.
6.C.4: Compute quotients of positive fractions and solve real-world problems involving division of fractions by fractions. Use a visual fraction model and/or equation to represent these calculations.
I can...Divide a whole number by a fraction by using tape diagrams and reasoning about division.
Lesson at a Glance
In this digital lesson, students explore division of a whole number by a fraction. Students use an interactive pitcher that pours fractional parts into a cylinder, and they predict the number of pours it takes to fill the cylinder. Students then use a tape diagram to help them divide a whole number by a fraction or by a mixed number and develop methods to divide without a model.
Use the digital platform to prepare for and facilitate this lesson. Students will also interact with the lesson content and activities via the digital platform.
If student computers or devices are not available, use the alternate version of this lesson.
I can...
Divide a fraction by a whole number.
Divide a mixed number by a whole number.
Lesson at a Glance
The lesson begins with students watching a video and determining how a group of friends can share two and a half pizzas. Students use tape diagrams and multiplication strategies to extend their understanding of dividing a unit fraction by a whole number to dividing a non–unit fraction by a whole number. Students work with a partner to solve real-world problems. Working independently, students write a story problem for an expression in which a mixed number is divided by a whole number.
I can...
Divide a fraction by a fraction by using a common denominator.
Divide a mixed number by a fraction by using a common denominator.
Lesson at a Glance
In this lesson, unit language serves as the launching point for dividing fractions by using common denominators. Students analyze tape diagrams and watch an interactive to learn why a common denominator is useful when dividing fractions. Through teacher-led discussion and partner work, students use a variety of strategies, such as making common denominators and interpreting number lines, to divide a fraction by a fraction.