Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the (2024)

Arithmetic Quiz:

In this activity, students solve arithmetic problems involving whole numbers, integers, addition, subtraction, multiplication, and division. This activity allows students to track their progress in learning how to perform arithmetic on whole numbers and integers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Software / Tool

Dividing Using an Area Model:

Students are asked to interpret a division problem with a one-digit divisor that has been completed using an area model. If the student is successful, he or she is asked to complete a division problem with a one-digit divisor using an area model.

Type: Formative Assessment

Book Drive:

Students are asked to solve a division problem using a strategy based on place value.

Type: Formative Assessment

Interpreting Division:

Students are asked to analyze and explain another student’s division work in terms of a partial quotients strategy and to apply this strategy to another division problem.

Type: Formative Assessment

Dividing Using Place Value:

Students are asked to complete a division problem using place value.

Type: Formative Assessment

"Life's a Breeze!":

In this Engineering Design Challenge, students must design a vessel that will carry passengers safely and quickly across a body of water by harnessing the power of the wind. Students will be given the opportunity to test and improve their vessels as they apply various math and science skills.

Type: Lesson Plan

Heating Up the Neighborhood:

This Engineering Design Challenge is intended to help students apply the concepts of heat insulators as they build a model house and test different materials to use as insulators, stopping the warm air from escaping and keeping the cool air out. Students will also have an opportunity to use technology in their exploration of heat energy.

Type: Lesson Plan

Set Sail with STEM: Exploring Wind and Water Movement as Energy with Sailboats:

Come sail away with this STEM activity! Students will use hands-on inquiry to find out more about wind and its effect on sails. Through trial and error and based on data collected, students will design, build, and race their own vessel or "sailboat" across the boundless waters of a kiddie pool. Students should gain a better understanding of how moving water and air are sources of energy and can propel objects forward at varying rates of speed.

Type: Lesson Plan

Dividing for Equal Groups:

This lesson is meant to help solidify division understanding before teaching the standard algorithm. Given a situational story, students will use base 10 blocks to model division in order to solve problems. It may be used for 4th or 5th grade depending on the size of the divisor.

Type: Lesson Plan

I Love Leftovers!:

In this lesson, students will explore situational problems that address the different ways to interpret the remainder.

Type: Lesson Plan

I See! Division with the Distributive Property:

In this lesson, students will use visual models to represent division using the distributive property as a strategy. Students will have an understanding of how to decompose numbers in the context of division problems using an area model.

Type: Lesson Plan

Aaron and Anya's Quilt Challenge: Problem Solving and Interpreting Remainders:

In this situational story, Aaron and Anya find a large piece of brightly colored fabric. They decide to cut it into squares to make a quilt. Students will find the area of the fabric by multiplying two digits by two digits. They will explore factors as they figure out the largest quilt square that can be cut for 25 students. There will be fabric left over; students will have to determine and justify remainders based on several different scenarios. Finally, students will create their own quilt square using grid paper.

Type: Lesson Plan

Share and Share Alike:

This lesson is an introduction to divisionand does not include a procedural recording for division.The student will be able to physically model the division of 2-, 3-, and 4-digit dividends with 1-digit divisors using objects and base ten blocks and explain the meaning of a remainder.

Type: Lesson Plan

CPALMS Aquarium: Part 3 Division with Larger Numbers:

Learn more about division with larger numbers in this aquarium-themed, interactive tutorial.

This is part 3 of in a three-part series. Click below to learn different strategies to help you become more efficient with division.

  • Part 1: Connecting Multiplication and Division
  • Part 2: Division Strategies

Type: Original Student Tutorial

CPALMS Aquarium Part 2: Division Strategies:

Learn to solve division challenges using the partial quotients strategy with this interactive tutorial.

This is the second tutorial is a series on division strategies.

Type: Original Student Tutorial

CPALMS Aquarium: Connecting Multiplication and Division: Part 1:

Learn how multiplication connects to division to help understand what division is in this aquarium-themed, interactive tutorial.

This is part 1 of a two-part series. Click to open Part 2, Division Strategies.

Type: Original Student Tutorial

Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the (2024)

FAQs

When the dividend is a 4 digit number from which place do we start dividing? ›

Step 1: Arrange the problem in long division form. Start with the digit at the highest place value in the dividend. Step 2: See how many times the divisor fits into this digit. Write this number on top, and the product of this quotient and the divisor under the dividend's digit.

What is the 5 NBT B 6 standard? ›

B. 6] - Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.

What is an example of a divisor and a dividend? ›

In 22 ÷ 2 = 11, 22 is the dividend, 2 is the divisor and 11 is the quotient. If, 45/5 = 9, then 5 is the divisor of 45, which divides number 45 into 9 equal parts.

What is the divisor and dividend and quotient? ›

A dividend is a number that is divided by the divisor. The divisor is the factor that divides the dividend. The result obtained by the division process is called the quotient and the number left behind after the completion of the division is called the remainder.

What is an example of a dividend? ›

What Is an Example of a Dividend? If a company's board of directors decides to issue an annual 5% dividend per share, and the company's shares are worth $100, the dividend is $5. If the dividends are issued every quarter, each distribution is $1.25.

What is standard form in math 6th grade? ›

What is the standard form of a number? In order to write the standard form of a number, multiply any number between 1.0 to 10.0 by a power of 10. For example 20, 345, and 0.12 are numbers in the standard form.

What is 5 NBT 7? ›

B. 7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

What is 5 NBT 3a? ›

NBT. 3a Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.

Can 24 be divided by 2? ›

24 divided by 2 is 12.

How do you divide a 4 digit number? ›

Step 1 - Take the first number of the tip from the left-hand side. Check if this number is lesser than or equal to the divisor. Step 2 - Also divide it by the divisor and write the answer on top as the quotient. Step 3 - Abate the result from the number and write the difference below.

When dividing a 4 digit number by a 1 digit number, how many digits can the quotient have? ›

If the 4-digit number is 1000 and the 1-digit number is 2, the quotient is 500 which is a 3-digit number. On the other hand, if you divide 9999 by 9, the quotient is 1111 which is a 4-digit number. So, theoretically, the quotient can be anywhere from 1 to 4 digits long, but it cannot have more than 4 digits.

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