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Illustrative Mathematics

Equivalent fractions approach to non-repeating decimals

For Teachers 6th - 8th Standards
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks...
Lesson Plan
Mathematics Assessment Project

Translating Between Repeating Decimals and Fractions

For Teachers 8th Standards
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...
Lesson Plan
EngageNY

Infinite Decimals

For Students 8th Standards
Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10....
Lesson Plan
EngageNY

Finite and Infinite Decimals

For Students 8th Standards
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...
Lesson Plan
EngageNY

Converting Repeating Decimals to Fractions

For Students 8th Standards
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...
Lesson Plan
Curated OER

Comparing and Ordering Fractions, Mixed Numbers, and Decimals

For Teachers 4th - 5th
Create your own fraction kits by folding and labeling paper using fraction vocabulary. Learners then work in groups to use these in comparing and sequencing both whole numbers and fractions. They also create unit cubes and develop an...
Lesson Plan
Curated OER

Fractions, Decimals, and Percentages Got You Down? "Tri" This!

For Teachers 6th - 7th
Students explore number sense by creating a math presentation in class. In this parts of a whole lesson, students define and discuss the relationship between fractions, decimals and percentages before completing a problem worksheet in...
Lesson Plan
Curated OER

Converting Fractions, Decimals and Percents

For Teachers 8th - 10th
Students convert between fractions, decimals and percents. For this algebra lesson, students reduce and rewrite the same quantity three different ways. They relate percents, decimals and fractions to the real world.
Lesson Plan
Education Development Center

Micro-Geography of the Number Line

For Teachers 5th - 8th Standards
Young mathematicians dive into the number line to discover decimals and how the numbers infinitely get smaller in between. They click the zoom button a few times and learn that the number line doesn't just stop at integers. Includes...
Assessment
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Balanced Assessment

Smaller, Larger, In-Between

For Students 7th - 12th Standards
Build a solid understanding of rational number relationships by asking class members to use various skills to order decimals, fractions, and numeric power expressions. Using the resource, they find that the fractions do not have an...
Lesson Plan
Curated OER

Rounding Decimals

For Teachers 4th
Fourth graders explore rounding a price given in dollar and cents to the nearest dollar. In this math lesson, 4th graders discover how to round to the nearest dollar. Additionally, students practice rounding money for objects that they...
Activity
5280 Math

Decimal Patterns

For Teachers 8th - 10th Standards
Find patterns in the process instead of the result. Learners convert series of decimals and fractions identifying patterns along the way. The lesson includes nine problem tasks with progressively more involved patterns.
Lesson Plan
Curated OER

Multiplying Decimals and Mixed Numbers

For Teachers 6th - 8th
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.
Lesson Plan
EngageNY

Decimal Expansions of Fractions, Part 1

For Students 8th Standards
Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth lesson of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to determine the size...
Lesson Plan
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Illustrative Mathematics

Margie Buys Apples

For Teachers 3rd - 5th Standards
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...
Lesson Plan
EngageNY

Decimal Expansions of Fractions, Part 2

For Students 8th Standards
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
Lesson Plan
Curated OER

Probability using M & M's

For Teachers 5th - 8th
Using M & M's candies, young statisticians predict the color distribution in a packet of candies and test their predictions against their group and the larger class. A review of converting between fractions, decimals, and percents...
Lesson Plan
Curated OER

Bits and Pieces I

For Teachers 6th
Sixth graders examine making smaller parts out of fractions and decimals. In this online interactive fractions, decimals, and percents lesson, 6th graders represent fractions with denominators of ten. Students then represent powers of 10...
Lesson Plan
Illustrative Mathematics

Half of a Recipe

For Teachers 4th - 6th Standards
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....
Lesson Plan
Curated OER

Estimating With Fire

For Teachers 7th - 9th
Pupils solve problems with percents, decimals and fractions. In this algebra lesson, students convert between fractions, percents and decimals. They estimate their answers and calculate their answer.
Lesson Plan
Curated OER

Fractions and Decimals

For Teachers 9th - 10th
Students convert between fractions and decimals. For this algebra lesson, students investigate fractions and differentiate between largest and smallest fractions. They add fractions and decimals using a common denominator.
Lesson Plan
Curated OER

Place Value: A Place for Apples

For Teachers 2nd
Second graders explore number values by completing math worksheets. In this place value lesson, 2nd graders identify the use of decimals in numbers and read a book about math called Apple Pigs. Students create number charts based on the...
Lesson Plan
Curated OER

Solving Percents Problems

For Teachers 6th - 8th
Students solve problems dealing with percents. In this algebra lesson, students convert between decimals and percents using factoring. They solve one step problems involving percents.
Lesson Plan
Curated OER

In Round Numbers

For Teachers 3rd - 5th
Young scholars explore the concept of rounding.  In this rounding lesson, students use their calculator to round three digit numbers to the nearest 10 or nearest 100.  Young scholars round fractional numbers to the nearest...

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