# Partial Quotients Method

Refresh students on the relationship between division, multiplication, and place value! They'll use the partial quotients method to solve division problems and discuss the process.
Need extra help for EL students? Try the Doubling Multiples for Division pre-lesson.
##### View aligned standards
Need extra help for EL students? Try the Doubling Multiples for Division pre-lesson.

#### Learning Objectives

Students will be able to divide using the partial quotients method.

The adjustment to the whole group lesson is a modification to differentiate for children who are English learners.

#### Introduction

(5 minutes)
• Display a simple multiplication chart with no coloring or notations.
• Conduct a whole-class discussion on which factors are easiest to estimate products (e.g., 2, 5, 10, 100, etc.) Highlight multiples and circle related factors on the multiplication chart so they can visually think about patterns they see in the chart. Students should understand that factors follow a pattern and that some numbers are easier to compute or estimate products.
• Tell students that today they'll use their understanding of factors and their multiples to use the partial quotients method to solve division problems.

Beginning

• Allow students to use their home language (L1) or new language (L2) in their discussions throughout the whole lesson.
• Draw sketches next to all the vocabulary words ("factors," "products," "multiplication chart," "multiples," "patterns") so that they can visualize the term. Allow them to draw pictures in their math dictionary notebook as well.

Intermediate

• Write the academic language they can use throughout the lesson on the board as you introduce the language (e.g., "language frames," "vocabulary," "key phrases or terms," etc.).
• Provide some sentences stems, such as: "I notice... One pattern I see is..."