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 E, students extend their understanding of division and use the standard algorithm to fluently divide whole numbers. They reason about the size of the quotient and the placement of its decimal point by using place value reasoning, and they estimate to determine the reasonableness of their answers. Students also learn to express quotients as decimals and round quotients when needed.
6.C.1: Divide multi-digit whole numbers fluently using a standard algorithmic approach.
6.C.3: Solve real-world problems with positive fractions and decimals by using one or two operations.
I can...
Divide multi-digit whole numbers by using the partial quotients method, and express quotients as mixed numbers
Lesson at a Glance
In this lesson, students use the digital platform to visualize connections between a given context and division into groups of equal size. After this experience, students move to writing the division of 3-digit numbers by 1-digit and 2-digit numbers by using partial quotients. Through teacher-led discussion, students transition to using an algorithm similar to the standard division algorithm.
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.
I can...
Divide multi-digit whole numbers by using the standard algorithm.
Lesson at a Glance
In this lesson, students compare the method of partial quotients to the standard division algorithm. Through teacher-led instruction, students learn how to divide multi-digit whole numbers by using the standard division algorithm. Students work through a sequence of division problems to build fluency. Working in pairs, students apply the standard division algorithm to find the greatest common factor of two numbers by using the Euclidean algorithm.
I can...
Divide multi-digit whole numbers by using the standard algorithm, and express quotients as decimals.
Lesson at a Glance
In this lesson, students continue to build fluency by using the standard division algorithm to divide multi-digit whole numbers. Students extend their understanding of quotients and remainders when they regroup remainders and continue dividing to the tenths, hundredths, and thousandths place. They realize that there is nothing left over to divide when no digits remain in the dividend and the remainder is 0. Working in pairs, students complete a sequence of division problems and round quotients to the tenths and hundredths places as necessary.
I can...
Create and solve real-world division problems.
Lesson at a Glance
In this lesson, students work in pairs to interpret and solve real-world division problems. Students identify a variety of characteristics of division word problems such as an unknown number of groups, an unknown group size, a rate problem, or a multiplicative comparison problem. Students recognize that decimal quotients may need to be rounded to answer the question. In small groups, students create a word problem of their own and solve a word problem created by another group.