EngageNY
The Distributive Property and the Products of Decimals
Make multiplication of decimals easier by applying the distributive property. Pupils investigate how they can use the distributive property to multiply decimals. After learning the strategy, they work on some practice problems at...
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....
EngageNY
Grade 5 Math Module 1, Topic E, Lesson 11
Let your understanding of multiplying decimals flourish and multiply. After briefly reviewing place value concepts and how to add and subtract decimals, scholars learn to multiply a decimal fraction (like 0.6) by a whole number. They use...
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...
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
Fraction Multiplication and the Products of Decimals
Class members come up with a hypothesis on the number of decimal digits in the product of two decimals. Learners work in groups to complete several decimal multiplication problems. The results help groups develop a conjecture on the...
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...
Mathematics Assessment Project
Translating Between Repeating Decimals and Fractions
Model for your young mathematicians the process for converting repeating decimals to fractions. To demonstrate their understanding of the process, class members then complete and assessment task and participate in an activity matching...
EngageNY
Grade 5 Math Module 1, Topic E, Lesson 12
Continuing from the previous instructional activity, scholars work on mastering the skill of multiplying decimal fractions by a whole number. The method employed in the instructional activity is to convert the decimal fraction to its...
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.
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 1
Extend the place value system. The first lesson plan in a series of 18 extends the place value system to millions through thousandths. Using place value charts, pupils see how the value of a digit changes as it moves places. Teachers use...
EngageNY
Converting Repeating Decimals to Fractions
Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson in this 25-part module helps reinforce...
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
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...
EngageNY
Decimal Expansions of Fractions, Part 1
Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth lesson plan of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to determine the...
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...
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...
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...
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....
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
Comparing Apples With Apples 1
Elementary schoolers observe and demonstrate how to add and subtract fractions with like denominators. They observe the teacher model a variety of fraction addition and subtraction problems and use fraction strips to complete a worksheet.
Illustrative Mathematics
Margie Buys Apples
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
Federal Reserve Bank
Financial Fables: Shopping Wisely with Olivia Owl
Cover two subjects with one instructional activity! First, dive into English language arts; read an eBook, answer comprehension questions, and complete a cause and effect chart about the financial fable, Shopping Wisely with Olivia Owl....
Curated OER
Relating Fractions, Decimals and Percents
Students convert numbers to fractions, decimals and percents. In this conversion lesson, students convert fractions, decimals and percents to a specified form. Groups of students play a conversion index card game. A worksheet, game...