Cluster 4:

Develop multiplication and division strategies

October 31-Present

Objectives Covered:

NC.4.NBT.5: Multiply a whole number of up to three digits by a one-digit whole number, and multiply up to two two-digit numbers with place value understanding using area models, partial products, and the properties of operations. Use models to make connections and develop the algorithm.

NC.4.NBT.6: Find whole-number quotients and remainders with up to three-digit dividends and one-digit divisors with place value understanding using rectangular arrays, area models, repeated subtraction, partial quotients, properties of operations, and/or the relationship between multiplication and division.

NC.4.MD.3: Solve problems with area and perimeter.

• Find areas of rectilinear figures with known side lengths.

• Solve problems involving a fixed area and varying perimeters and a fixed perimeter and varying areas.

NC.4.OA.3: Solve two-step word problems involving the four operations with whole numbers. • Use estimation strategies to assess reasonableness of answers. • Interpret remainders in word problems. • Represent problems using equations with a letter standing for the unknown quantity

Cluster 4 Parent Letter/Multiplication: English

Cluster 4 Parent Letter/Multiplication: Spanish

Cluster 4 Parent Letter/Division: English

Cluster 4 Parent Letter/Division: Spanish

Essential Question

4.NBT.5: How can you solve multi-digit multiplication problems?

4.NBT.6: How can you solve multi-digit division problems?

4.OA.3: How can decide what to do with a remainder based on unique division word problems?

Vocabulary

-area model -array

-distributive property -equation

-factor -multiply

-product -partial product

-dividend -divisible

-divisor -quotient

-remainder

Multiplication Anchor Charts

Multiplication Methods Videos

Area Method of Multiplication (2 by 1 Digit):

This video shows an example of how to use the Area Method to solve a 2 digit by 1 digit multiplication problem

Area Method of Multiplication (3 by 1 Digit):

This video also shows how to use the Area Method to solve a multi-digit multiplication problem, but solves larger digit problem; the same concept is applied as a 2 by 1 digit, but there are just more partial products

Area Method of Multiplication (2 by 2 Digit):

This video shows an example of how to use the Area Method to solve a 2 digit by 2 digit multiplication problem

Partial Products/Expanded Method of Multiplication (2 by 1 Digit):

This method using similar concepts of the area model (breaking multi-digit numbers into expanded form) to solve 2 by 1 digit multiplication problems

Partial Products/Expanded Method of Multiplication (2 by 2 Digit):

This method using similar concepts of the area model (breaking multi-digit numbers into expanded form) to solve 2 by 2 digit multiplication problems

Traditional Algorithm:

Here are the "traditional" strategies for multiplying multi-digit numbers. Your students may also call them "Turtle" or "Fancy Turtle"...ask them to explain! :)

Divison Methods Videos

Area Method of Division: This video shows an example of how to use the Area Method of Division to solve a multi-digit division problem. This strategy is very helpful for breaking up a number into manageable chunks and allows room for error than standard digit by digit method.

Partial Quotients Method of Division: This method is also called the "Big 7" and is set up more similarly to the standard digit by digit method, but instead of writing quotients on top and dealing with only individual digits in the number, it finds partial quotients of the whole number and write them to the right of the problem. Similar to the area method it is helpful in that it allows more room for error than the standard algorithm.

Intro to long division (remainders) (video) | Khan AcademyIntroduction to long division with remainders

Standard "Long" Division (Digit by Digit): This method is the standard or "traditional" way of solving multi-digit division problems. For this strategy you will divide each digit individually and "bring down" the next digit to create the next dividend. You keep dividing until there are no numbers left in the dividend. In this method it is VITAL that with you "divide" if it divisor doesn't divide evenly then you get as close as you can to the dividend WITHOUT GOING OVER.

Interpret Remainders: This video reviews how to decide what to do with a remainder based on what a question is asking. We usually either:

Ignore the Remainder (only need FULL groups)
Add an Extra Group (entire TOTAL must be used)
Remainder is the answer (What is left over?)

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