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July 22, 2015

by Rhondra Lewis
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Do you need extra help for EL students? Try the
The Partial Products Strategy for Multiplication
prelesson.
EL Adjustments
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Do you need extra help for EL students? Try the
The Partial Products Strategy for Multiplication
prelesson.
Learning Objectives
Students will be able to multiply whole numbers of up to four digits by onedigit and twodigit whole numbers, using strategies based on place value.
The adjustment to the whole group lesson is a modification to differentiate for children who are English learners.
Introduction
(5 minutes) Begin this lesson by reviewing place value. Write a fivedigit number on the board. Have students come to the board and identify each number's place value.
 Tell students that today they are going to use what they know about place values to help them calculate multidigit numbers.
 Write a twodigit by onedigit multiplication problem on the board.
 Have students raise their hands and work on solving the problems to show you if they have previous experience with multiplying multidigit numbers like the one on the board.
 Explain to them that it is very doable as long as they know the value of the two single numbers, place value, and a strategy called regrouping.
Beginning:
 Provide studentfriendly definitions in students' home language (L1) and English (L2), for the following terms: "place value," "digit," "regrouping," "multiply." Include an image or example for each word.
Intermediate:
 Give students a chance to solve the twodigit by onedigit multiplication problem with a partner before sharing their solution with the whole group.
Explicit Instruction/Teacher modeling
(15 minutes) Remind students of basic multiplication facts by using the Multiply! worksheet as a quick review.
 Review the answers by using the answer key.
 Offer students suggestions for this quick assignment by reviewing the patterns found in each row.
 Use the table to work on problems in which double digit numbers are multiplied by single digit numbers using problems from the Multiplication with Regrouping or Mammoth Multiplication Problems worksheets.
 Next use problems from the Double Digit Multiplication worksheet to use place value when multiplying multidigit numbers by twodigit numbers.
Beginning:
 Let students work on the Multiply! worksheet with a supportive partner. Encourage students to talk about their thinking and any products they disagree on.
Intermediate:
 Write out and refer to the steps for multiplying multidigit numbers using the standard algorithm. Have students repeat the steps as you do each one.
Guided Practice
(20 minutes) Have students find a partner.
 Pass out the MathGoRound (Hard) game and scratch paper for completing their calculations.
 Read the instructions for the game to students. Set a time limit for each calculation or for the entire game if you would like.
 Ask students if they have questions.
 Have students work in pairs to complete the calculations.
 Use the last 2â€“4 minutes to discuss any challenges.
Beginning:
 Place students with a partner who is able to support the beginning EL student (e.g., a partner who speaks the same home language).
 Have students restate or rephrase the directions to the activity in their own words.
Intermediate:
 Provide sentence starters to help students discuss any challenges they encountered during the guided practice, such as: "This problem was difficult because..." or "I had trouble with the part when I had to..."
Independent working time
(20 minutes) Pass out the MathGoRound (Expert) game and scratch paper for completing their calculations to students.
 Tell students that they will work alone to complete the game board.
 Make this a timed assignment if you would like.
 Remind students to use place value when calculating multidigit numbers by twodigit numbers.
 If students get stuck, advise them to go to the next calculation.
 Allow time to review the challenging problems (as determined by the students) and answers after this assignment.
Beginning:
 Allow students to do their work with a helpful partner.
 Give students access to the Vocabulary Cards so that they may use correct terminology when asking a question or discussing a problem with the teacher or a classmate.
Intermediate:
 Let students work in a small teacherled group, and model how to solve a couple of the twodigit by threedigit multiplication problems.
 Have students describe their calculations as they are doing them. Correct any language errors and celebrate accurate description.
Differentiation
Support:
 Students who need extra support could create their own more simplistic problems and answer them.
Enrichment:
 Advanced students could create a children's book with stepbystep instructions for multiplying multidigit numbers by one and twodigit numbers. They could also complete the Multiplying MultiDigit Numbers worksheet which requires them to multiply several sixdigit numbers by twodigit numbers and even multiply by threedigit numbers.
Assessment
(10 minutes) Use the Multiplication Mischief worksheet to assess students' understanding of the lesson.
 Remind students that they must use place value to answer each question.
Beginning:
 Give students a word/phrase bank with pertinent math vocabulary, definitions, and examples which will help them complete the assessment.
 Have students work on the assessment worksheet with a partner.
Intermediate:
 Assign students fewer multiplication problems, and then have them verbally describe the steps they take to solve each one.
Review and closing
(5 minutes) Review place value and the multiplication chart.
 Write an equation on the board and have students work the problem out with you on the whiteboard.
 Ask students the following question and have them discuss with a partner, before sharing out with the whole group: "Why is it important to understand place value in multiplication?"
Beginning:
 Let students talk to a partner about why it is important to understand place value when multiplying.
Intermediate:
 Provide a sentence stem to support students as they discuss: "I think it is important to understand place value when multiplying because..."
Guided Lesson: Multiplication and Division
Guided Lessons are a sequence of interactive digital games, worksheets, and other activities
that guide learners through different concepts and skills.
They keep track of your progress and help you study smarter, step by step.
Guided Lessons are digital games and exercises that keep track of your progress and help you study smarter, step by step.
There are many strategies that can be employed to multiply and divide larger numbers. Students will deepen their conceptual knowledge of multiplication and division, starting with visual models like arrays and diagrams.Then students will then move to more abstract calculation methods like partial products, the distributive property and standard algorithms.
There are many strategies that can be employed to multiply and divide larger numbers.
This lesson includes printable activities:
Download all (5)
Game: Radar MultiDigit Arrays
Exercise: MultiDigit Multiplication and Partial Products 1
Exercise: MultiDigit Multiplication and the Standard Algorithm 1
Exercise: Distributive Property of Multiplication
Exercise: Division without Remainders
Exercise: Division with Remainders
Exercise: Divisibility Rules
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