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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
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...
EngageNY
Finite and Infinite Decimals
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
Curated OER
Relating Fractions and Decimals
Sixth graders identify how fractions and decimals both illustrate parts of a whole. They estimate which number is greater by comparing them to the given fraction and use greater than or less than symbols for each.
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...
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...
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
Estimating Digits in a Quotient
Boiling down any division problem to a one-digit divisor problem sure makes estimation easy. The lesson plan shows how to estimate division problems by using place value understanding and basic arithmetic facts to simplify the division....
Curated OER
Equivalent Decimals
Students develop strategies to find equivalent decimals. For this equivalent decimals lesson, students participate in a variety of decimal games to find equivalent decimals.
EngageNY
Decimal Expansions of Fractions, Part 2
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson plan in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize...
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...
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...
Curated OER
Multiplying Decimals and Mixed Numbers
Students multiply decimals and/or mixed numbers. They explore the effects of multiplying decimals and mixed numbers. They practice estimating answers when a number is multiplied 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...
EngageNY
Percent of a Quantity
Visualize methods of finding percents. Classmates find a percent of a quantity using two methods including a visual model in the 26th lesson in a series of 29. By the end of the lesson, scholars find percents given a part and the whole...
Willow Tree
Percents
We see percents everywhere! Building a solid understanding of their meaning is important to future mathematics, but also as citizens. Young scholars practice rewriting decimals, percents, and fractions. They also determine percents of a...
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
Buying Gas
A quick problem to test your middle schoolers' knowledge of dividing with decimals. Also a good practice of unit rates, they must compute the cost of one gallon of gas when given the total amount for a fill up. Can be used as a preface...
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...
EngageNY
Two-Step Problems—All Operations
Step 1: Use the resource. Step 2: Watch your class become experts in solving two-step problems. Scholars learn to solve two-step word problems in context. They use tape diagrams and algebraic techniques to break the problem into two,...
Curated OER
Percents to Fractions and Decimals
Seventh graders practice converting percentages to decimals. Through guided practice, they work to solve problems involving converting fractions to decimals. Working in pairs, 7th graders compete to be the first to solve the problem...
Curated OER
Basic Operations with Decimals
Twelfth graders practice skills adding and dividing decimals. They examine the help wanted ads and compute the hourly and weekly wages. They discuss the real life value of understanding the importance of decimals.
Curated OER
Relating Percents, Decimals, And Fractions
In this relating percents, decimals, and fractions worksheet, students, with a partner, problem solve and calculate the answers to twelve word problems and mathematical equations.