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EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions
Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...
EngageNY
Converting Rational Numbers to Decimals Using Long Division
Convert fractions that cannot be written with a denominator that is a power of 10. Pupils use the definition of a fraction and long division to convert fractions to decimals, then discover that some divisions terminate and others...
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 4
Convert with exponents. The fourth lesson in a series of 18 uses powers of 10 to convert within the metric system. Scholars use their fourth grade knowledge of conversions to write and use the conversion factors containing exponents....
West Contra Costa Unified School District
Modeling Division of Fractions
Introduce young mathematicians to the process of dividing fractions with a hands-on math lesson. Using the help of fraction strips and other visual models, children work through a series of example problems as they...
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
Curated OER
Side-By-Side Division Algorithms
Show classes how to work their way through the algorithms. The long division lesson plan shows five algorithms in dividing multi-digit numbers by a single digit. The algorithms include partial quotients, stacking method, place value long...
EngageNY
Writing Division Expressions
Express division using different expressions. Individuals learn to write division expressions both with and without the division symbol in the 13th lesson of a 36-part series. They consider both numerical and algebraic expressions...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models
Use a unit approach in developing a fraction division strategy. The teacher leads a discussion on division containing units, resulting in a connection between the units and like denominators. Pupils develop a rule in dividing fractions...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models II
No more inverting and multiplying to divide fractions. Applying concepts of measurement division from the previous lesson plan, pupils consider partitive division using fraction bars and number lines. They first convert fractions to like...
EngageNY
The Relationship of Division and Subtraction
See how division and subtraction go hand-in-hand. The fourth installment of a 36-part module has scholars investigate the relationship between subtraction and division. They learn using tape diagrams to see that they can use repeated...
EngageNY
Interpreting Division of a Fraction by a Whole Number—Visual Models
Divide fractions just like a model does. Pupils visualize the division of a fraction by a whole number by creating models. Scholars make the connection between dividing by a whole number and multiplication before practicing the skill...
EngageNY
The Relationship of Multiplication and Division
Take any number, multiply it by five, and then divide by five. Did you end up with the original number? In the same vein as the previous lesson, pupils discover the relationship between multiplication and division. They develop the...
EngageNY
Writing and Evaluating Expressions—Multiplication and Division
Don't table the resource on writing expressions for relationships in tables. Scholars investigate relationships between variables and write algebraic expressions involving multiplication and division. These expressions help solve...
EngageNY
The Long Division Algorithm
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
EngageNY
Division of Integers
The 12th segment in a 25-segment series looks at the division of integers and how the signs of the dividend and divisor affect the sign of the quotient. Pupils start with multiplication and division facts of whole numbers and create the...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 15
Remainders don't need to remain a mystery. The 16th of 18 parts in Grade 5 Math Module 1 continues the study of dividing decimals by a whole number. Scholars see how to rename the remainder to a smaller unit, such as when dividing 1.7 or...
EngageNY
Complex Number Division 2
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second instructional activity on complex number division, the class takes a closer look at the numerator and denominator of the...
EngageNY
The Division of Polynomials
Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.
Curated OER
Math Sleuths
Help learners practice their math skills by utilizing the Internet to research a mathematical topic. Your math sleuths will investigate a science or social studies topic from their curriculum and construct a Math Hunt Grid. They create a...
EngageNY
More Division Stories
Don't part with a resource on partitive division. Continuing along the lines of the previous lesson, pupils create stories for division problems, this time for partitive division problems. Trying out different situations and units allows...
EngageNY
Dividing Fractions and Mixed Numbers
Class members discover how to extend division to fractions to mixed numbers. Individuals first review how to convert mixed numbers to improper fractions and then apply division strategies learned in previous lessons. A memory game...
Curated OER
Dividing Fractions
Reciprocals are the method used for dividing fractions in this instructional session. A fraction is defined as being a division problem, and then the whole group works together to solve several problems. They check for the reasonableness...
Curated OER
Math Investigations 2
Young mathematicians practice measuring and graphing skills while working in groups to measure objects found in the classroom. Using their measurements, they create one bar graph displaying the lengths and another displaying the widths.