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 F, students extend their understanding of the standard division algorithm to fluently divide decimals. They start by dividing decimals by whole numbers and then progress to dividing decimals by decimals and applying decimal division to solve multi-step real-world problems. At the end of the topic, students practice decimal division in a multi-step task involving calculations about resources needed to survive on Mars.
6.C.2: Compute with positive fractions and positive decimals fluently using a standard algorithmic approach.
I can...
Divide a decimal by a multi-digit whole number by using the standard division algorithm.
Lesson at a Glance
This lesson begins with pairs of students solving a division puzzle. Students use decomposition and powers of 10 to divide a decimal by a whole number. They participate in a Whiteboard Exchange to develop fluency with these division skills, which do not require use of the standard division algorithm. Students transition to using the standard algorithm to divide a decimal by a whole number, reasoning about why the decimal points in the dividend and the quotient line up.
I can...
Divide a decimal by a decimal greater than 1 by using the standard algorithm.
Lesson at a Glance
In this lesson, students learn to divide a decimal by a decimal. Students begin by using estimation to reason about the quotient of two decimals. Students examine how multiplying the dividend and divisor by a power of 10 changes the quotient. With a partner, students use math facts and mental math strategies to divide decimals by decimals greater than 1. Students learn why we write division expressions with whole-number divisors when using the standard algorithm. Students work in pairs to divide decimals with the standard algorithm and to analyze division work for errors.
I can...
Divide a decimal by a decimal less than 1 by using the standard algorithm.
Solve real-world problems by dividing a decimal by a decimal.
Lesson at a Glance
In this lesson, students build fluency with dividing decimals by decimals. Students use mental math to reason about decimal division and to express decimals as fractions or to convert decimals to whole numbers before dividing. In a Whiteboard Exchange, students use math facts to divide a decimal by a decimal less than 1. Students estimate quotients and use the standard algorithm to divide decimals. In stations, students work in pairs to solve real-world problems with decimal computations.
I can...
Solve real-world problems by performing operations with decimals.
Lesson at a Glance
In this digital lesson, students perform operations with decimals to solve problems in the context of living on Mars. Students watch a video that introduces the idea of what life could be like on Mars. Students then work on different contextual problems and use interactives to confirm their answers.
Use the digital platform to prepare for and facilitate this lesson. Students will also interact with lesson content and activities via the digital platform.
If student computers or devices are not available, use the alternate version of this lesson.