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...
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...
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
Metric Magic
Sixth and seventh graders construct a "metric machine" as a kinesthetic aide in converting from one unit to another in grams, liters, or meters. They complete a metric activity on the Internet and view about five minutes of a video on...
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...
Curated OER
Multiplying Whole Numbers and Decimals
Upper elementary and middle school learners explore number sense by completing a list of multiplication problems in class. Learners discuss the difference between whole numbers and decimals while solving multiplication problems. They...
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.
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
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.
Illustrative Mathematics
Discounted Books
Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...
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
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...
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
Hollywood's Top Ten
Students gather data on top 10 highest grossing movies, and make a bar graph and a pictogram.
Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such...
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...
EngageNY
Solving Percent Problems III
What happens when combining percentage discounts? The last instructional activity in a series of 29 introduces the idea of combining discounts one after another. Pupils wrestle with the claim that to find the total discount, they need to...
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...
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...
Curated OER
Decimals, Percents and Fractions
Sixth graders convert decimals and percents. They observe a teacher lead demonstration of converting decimals to percents and percents to decimals. Students practice what they have seen.
West Contra Costa Unified School District
Solving Rational Equations
Scholars first learn to solve two-step equations with fractional coefficients and constants by traditional methods and by clearing the denominator. They continue by learning another approach to solve two-step equations that have decimal...
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
Math, Calories and You
Discover the connection between calories and weight. Pupils multiply their body weight times calorie estimates for various physical activities to calculate calories burned per minute and per hour. Worksheets a well as website links are...
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...