Multiply and Conquer

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Multiply and Conquer

Description:

Students decompose 2-digit numbers, model area representations using the distributive property and partial product arrays, and align paper-and-pencil calculations with the arrays. The lessons provide conceptual understanding of what occurs in a 2-digit multiplication problem. Partial product models serve as transitions to understanding the standard multiplication algorithm.

Education Levels:

3, 4, 5

Subject:

Number Sense, Algebra

Resource Type:

Lesson plan

Medium:

Text/HTML

Fee Status:

Free

Beneficiary:

Students

Online provider:

National Council of Teachers of Mathematics

Show more properties

Keywords:

Distributive property, Arrays, Addends

Mediator:

Elementary school teachers

Publisher:

Illuminations

Contributor:

Lisa Cartwright

Is Part Of:

http://illuminations.nctm.org/

Language:

English

General

Essential Resources:

Base 10 blocks; Pencils

Referenced Resources/Versions

Required Learning:

http://illuminations.nctm.org/Lessons/MultConq/MultConq-AS-2x1.pdf

Required Learning:

http://illuminations.nctm.org/Lessons/MultConq/MultConq-AS-2x2.pdf

Subjects/Topics

P21 Subject:

Mathematics

Instructional Methods

Assessment Method:

Observation

Learning Outcomes:

Broad Correlation

Common Core State Standards for Mathematics (2010)

Number and Operations in Base Ten

Use place value understanding and properties of operations to perform multi-digit arithmetic.

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Broad Correlation

Principles and Standards for School Mathematics (2000)

Algebra Standard

Represent and analyze mathematical situations and structures using algebraic symbols

identify such properties as commutativity, associativity, and distributivity and use them to compute with whole numbers

Broad Correlation

Principles and Standards for School Mathematics (2000)

Geometry Standard

Use visualization, spatial reasoning, and geometric modeling to solve problems

use geometric models to solve problems in other areas of mathematics, such as number and measurement

Broad Correlation

Principles and Standards for School Mathematics (2000)

Number and Operations Standard

Understand meanings of operations and how they relate to one another

understand and use properties of operations, such as the distributivity of multiplication over addition

This data provided by the Achievement Standards Network

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Multiply and Conquer

Multiply and Conquer

General

Referenced Resources/Versions

Subjects/Topics

Instructional Methods

Learning Outcomes:

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