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Long Division and Multiplication Using the Standard Algorithm

Learn the best ways to teach multi-digit multiplication and long division. These differentiated strategies help students learn the traditional standard algorithm in a way that can be easily scaffolded to support students’ learning.

 

Struggling to Teach Multiplication and Long Division?

I used to struggle to teach the standard algorithm for multiplication and long division, too.

Fortunately, these organizers and worksheets are scaffolded and interactive. They guide students through the process of solving multiplication and long-division problems. This strategy is perfect for 3rd-grade, 4th-grade, and 5th-grade students and special education students who need accommodations.

I think you and your students will love these differentiated organizers.

I always relied on them for small-group instruction and whole-class learning. Reluctant learners and struggling students are drawn in by curiosity about the shapes.

And if you’re teaching new learners – don’t worry! These organizers will boost multiplication and long-division learning in no time at all.

Differentiated Multiplication and Long Division

Students Need Differentiated Multiplication and Long Division that can be scaffolded to help learners better understand the processes. Then, as students learn and progress, the scaffolds can be reduced and eventually eliminated.

So, if students learn differently, we need to teach them differently. We can use various teaching methods, strategies, and styles to reach every student. And the more tools you have in your teaching bag, the better.

differentiated long division practice page

According to the Common Core State Standards, by 5th grade, students must solve multiplication and division problems using the standard algorithm.

Some students are ready and learn the process quickly, while others need lots of practice and repetition to master it.

I just bet you have some of those students in your class. You know they’ll learn it eventually. It will take some extra time. Time that you don’t have.

The pressures of our modern educational system push students to learn according to the grade level schedule. Teachers know that some students take longer than others to reach milestones.

The Benefits of Shaped Math

Shaped multiplication and long division can help speed up the learning process.

Teachers love this differentiated math because:

  • Students become more independent.
  • Visual reminders of the next step in the process
  • Add and eliminate scaffolds quickly and easily.
  • Check student work at a glance to identify errors and address the problem immediately.
  • Scaffolds are consistent between Shaped Math resources.
  • Students gain confidence.

3-digit x 2-digit multiplication with an organizer for student learning

 

Starting to Use Shaped Math

Shaped Math is currently offered only through Teachers Pay Teachers. The best way to start using Shaped Math is to identify the skills you need to teach. Each set uses the traditional standard algorithm for solving multiplication and long-division problems.

Free Sample Sets

FREE Multi-Digit Multiplication Sample Pack (2-digit x 2-digit – NO REGROUPING)

2-digit-differentiated-multiplication-free-worksheets-set

FREE Long Division Sample Pack (3-digits ÷1-digit – NO REMAINDERS)

differentiated-division-free-worksheets-set-cover

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Start with These Original Sets

Original Shaped Multiplication and Division BUNDLE (These are the two main sets) 

product cover image of 2-Digit Multiplication and Long Division with 1-Digit Divisors BUNDLE

2-Digit Multiplication (2-digit x 2-digit) – Original Set

Long Division Organizers and Worksheets (2-digits ÷ 1-digit), (3-digits ÷ 1-digit),(4-digits ÷ 1-digit)

Bundled Sets

Ultimate Bundle of Multiplication and Division – ALL SHAPED Sets + ALL GRAPH PAPER Sets

Big Bundle – ALL Shaped Multiplication and Division Sets in one Big Bundle

ALL Multiplication Sets – Shaped Sets and Graph Paper Sets

ALL Division Sets – Shaped Sets and Graph Paper Sets

Original Shaped Multiplication and Division Sets – These are the two main sets

product cover image of 2-Digit Multiplication and Long Division with 1-Digit Divisors BUNDLE

Multiplication Sets

Beginner Multiplication Set (2-digit x 1-digit), (3-digit x 1-digit)

Multiplication for Beginners shape math teaching worksheet set

2-Digit Multiplication (2-digit x 2-digit) – Original Set

Multiplication (3-Digit x 2-Digit), (3-Digit x 2-Digit) Organizers and Worksheets – EXTRA Set 2

Multiplication (3-digit x 3-digit), (4-digit x 3-digit)

3-digit multiplication and 4-digit multiplication worksheets and organizers set

ALL Multiplication Sets – Shaped Sets and Graph Paper Sets

cover of the multiplication bundle of shape math worksheets, organizers, and templates

FREE Multi-Digit Multiplication Sample Pack (2-digit x 2-digit – NO REGROUPING)

2-digit-differentiated-multiplication-free-worksheets-set

Division Sets

Long Division with No Remainders (2-digits ÷ 1-digit), (3-digits ÷ 1-digit), (4-digits ÷ 1-digit) – Beginner’s Set 

Long Division Organizers and Worksheets (2-digits ÷ 1-digit), (3-digits ÷ 1-digit),(4-digits ÷ 1-digit)

2-Digit Long Division (3-digit ÷2-digit), (4-digit ÷2-digit) Organizers and Worksheets

ALL DIVISION SETS – SHAPED Sets and GRAPH PAPER Sets

FREE Long Division Sample Pack (3-digits ÷1-digit – NO REMAINDERS)