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
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math
Make math much simpler with mental math methods. The 16th installment in a series of 21 looks at ways scholars can apply mental math to convert division problems into easier problems with the same quotient. Multiplying or dividing both...
National Education Support Service
Division Note Cards
Sixth graders create note cards to divide multi-digit whole numbers by two-digit numbers and divide decimals that represent money by whole numbers in a simpler and faster fashion. They write the rules and examples of each on the cards...
Curated OER
Division of Decimals
Work with the class to investigate the concept of dividing decimals. They will use a variety of problem-solving skills in order to practice the operation of division. The teacher can use the dialogue to guide learners through the various...
Curated OER
Fractions Forever!
Middle schoolers identify proper, improper fractions, and mixed numbers. They reduce fractions to their lowest terms. They add and subtract fractions with different denominators, and multiply and divide fractions, as well as decimal...
Illustrative Mathematics
Movie tickets
This is a good Common Core question that relates inflation to operations with decimals and rounding. Young learners are asked to find out if an amount of money can purchase the same amount of movie tickets in 2012 as it did in 1987. They...
Curated OER
Operations with Positive Fractions and Decimals
Explore the concept of fractions and decimals! In this fractions and decimals lesson, pupils use fraction tiles to express fractions. They play a fraction review basketball game where when a team gets a question correct they get to shoot...
Curated OER
Arithmetic: Fractions
Mathematics aces, after a warm-up activity with some easy calculations, practice solving rules of signs and powers of 10 equations. Multiplying and dividing decimals is also covered within this lesson in depth. A variety of examples and...
Curated OER
Multiplication and Division Word Problems Made Easy
Marbles to learn math? What fun! Discuss the rules of multiplication and division when applied to whole numbers, decimals, and fractions. Small groups use6 marbles to design different types of multiplication and division problems, and...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 16
See, decimal operations do come in handy! Pupils solve word problems that require adding, subtracting, multiplying, and dividing decimals. They use tape diagrams to express relationships and to identify the necessary operations to solve...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 13
After completing a fluency practice set on subtracting, multiplying, and comparing decimals, pupils begin learning about dividing decimals by whole numbers. They see how to use place value reasoning to find compatible numbers for...
Illustrative Mathematics
Gifts from Grandma, Variation 3
There are three money word problems in this activity, each one is set in the same context. The first asks what was the total amount grandma spent, the second how many grandchildren grandma has, and the third asks how much grandma spent...
Curated OER
Multiplication and Division of Real Numbers
For this multiplication and division worksheet, students multiply and divide positive and negative fractions, decimals, and whole numbers. This two-page worksheet contains 72 problems.
Curated OER
Repeating Decimal as Approximation
You are used to teaching repeating decimals with bar notation that keeps us from writing that number over and over again; now teach what the over and over again represents. This activity allows your mathematicians to explore the infinite...
Curated OER
Lesson 3: Number Sense
Learners solve word problems using number sense. They convert fractions to decimals and mixed numbers. Pupils determine if a given fraction is greater or less than another fraction, and order numbers on a number line.
Curated OER
Problem Solvers
Fifth and sixth graders compare decimals to the place-value structure in the base-ten number system. They represent fractions as parts of unit wholes, as parts of a set, as locations on a number line, and as divisions of whole numbers....
Illustrative Mathematics
Half of a Recipe
Kids love to cook! What is a better place to learn mixed numbers than with a recipe? It is up to learners to decide how they want to divide this recipe in half. They may choose to model the mixed number and then divide the model by two....
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 2
The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...
Willow Tree
Rational vs. Irrational Numbers
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
Curated OER
Number Operations
Inject fun into your math review! Pupils review basic math operations with decimals as well as addition and subtraction with simple fractions. In this number operations lesson, students work in groups to create a game for the math skill...
EngageNY
Estimating Digits in a Quotient
Boiling down any division problem to a one-digit divisor problem sure makes estimation easy. The lesson shows how to estimate division problems by using place value understanding and basic arithmetic facts to simplify the division. Some...
Curated OER
Multiplying Decimals and Mixed Numbers
Students practice multiplying decimals and/or mixed numbers, explore the effects of multiplying decimals and mixed numbers, and practice predicting the effects of multiplying a number by a decimal or mixed number.
Pennsylvania Department of Education
Using the Coordinate Plane in Problem Solving
Fifth graders practice solving problems. In this fraction and decimal lesson plan, 5th graders recognize the relationship between fraction and decimals. Students estimate problem results and write expressions to use for problem solving.
Curated OER
Fantastic Fraction Fudge
In order to create some tasty fudge, learners must adapt a recipe. Using a recipe for fudge, ingredients must be correctly converted using fractions. If one fraction is incorrect, the fudge will reveal it! Although you will only make one...