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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
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
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
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
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
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
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 plan in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize...
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.
Activity
MENSA Education & Research Foundation

Pi Day Fun!

For Teachers 6th - 8th Standards
In this multi-faceted introduction to pi, participants perform a bevy of pi-related activities. Ranging from measuring household items to singing pi songs and reading pi stories, this fun and non-intimidating resource serves to bring up...
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

Fantastic Fraction Fudge

For Teachers 4th - 6th
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...
Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 7

For Students 8th Standards
Assess pupil understanding of rational and irrational numbers with a mid-module assessment that is the 15th lesson in the 25-part series. The questions represent the objectives in the first half of the series. Topics include decimal...
Lesson Plan
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Beyond Benign

PPM

For Students 6th - 8th Standards
The 15th activity in the series of 24 helps your classes understand the ppm (part per million) unit of measure. First, scholars experiment with food coloring to determine concentrations before applying their findings to calculate...
Lesson Plan
Curated OER

Using Algebra to Explore Problem Space

For Teachers 7th - 9th
Learners apply their knowledge of math by rewriting word problems using equations. In this word problem instructional activity, students build upon previous knowledge as they set up the correct steps to solve word problems. This...
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...
Assessment
1
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Balanced Assessment

Larger, Smaller, In-Between I

For Students 9th - 12th Standards
Determine the level of understanding of decimal and fraction values within your classes with a resource that provides pupils with opportunities to practice with decimal and fraction concepts. 
Lesson Plan
Bowland

Explorers – Patrol Services

For Teachers 6th - 9th
Far out — plan a trip to space! Aspiring mathematicians steer a space vehicle through an asteroid field, calculate currency exchanges to buy provisions, and determine placement of charges to blow up asteroids. Along the way, they learn...
Lesson Plan
Curated OER

In Round Numbers

For Teachers 3rd - 5th
Students explore the concept of rounding.  For this rounding lesson, students use their calculator to round three digit numbers to the nearest 10 or nearest 100.  Students round fractional numbers to the nearest tenth,...
Lesson Plan
EngageNY

The Long Division Algorithm

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

Prairie Math

For Teachers 5th - 8th
Students work together to build models of prairie plants. Using the model, they estimate the height and then measure them using metric and standard units. They write a fraction to represent their part of the whole set and compare and...
Lesson Plan
Curated OER

Visual Fractions

For Teachers 5th - 8th Standards
Leanrers observe models of fractions and use a calculator to represent numbers as decimals, fractions, and percents. They participate in calculator activities to view different representations of the same 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 instructional activity of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to...
Lesson Plan
Curated OER

Using Fractions to Represent M&M Colors

For Teachers 9th - 11th
Students investigate the concept of fraction and tangible application. In this algebra lesson plan, students use fractions to solve real life scenarios. They convert between fractions and decimals and identify the numerator and denominator.
Unit Plan
San Francisco Symphony

The 20% of Beethoven

For Teachers 6th - 8th
Compare Beethoven's fifth symphony to latin music and disco. Learners will listen to and discuss the elements found in the first part of Beethoven's composition. They'll then look for the same elements in Tito Puente and Bee Gees songs....

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