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Illustrative Mathematics
Equivalent fractions approach to non-repeating decimals
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...
EngageNY
Decimal Expansions of Fractions, Part 2
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...
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...
5280 Math
Decimal Patterns
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.
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...
Curated OER
Comparing and Ordering Fractions, Mixed Numbers, and Decimals
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...
EngageNY
The Decimal Expansion of Some Irrational Numbers
Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 7
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...
EngageNY
Finite and Infinite Decimals
Explore the patterns of fractions that produce finite and infinite decimals. The sixth instructional activity of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns,...
Curated OER
Visual Fractions
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.
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
Fractions and Decimals
Learners convert between fractions and decimals. In this algebra lesson, students investigate fractions and differentiate between largest and smallest fractions. They add fractions and decimals using a common denominator.
Balanced Assessment
Larger, Smaller, In-Between I
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.
Bowland
Explorers – Patrol Services
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...
University of Utah
Rational and Irrational Numbers
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
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
Decimal Fractions
Students use rounding and compensating with whole numbers and explain how to use the empty number line to show additions and subtractions. They round and compensate in relation to decimal subtraction
Background
Curated OER
Fractions, Decimal, Percent Relationships.
Students solve problems involving fractions, decimals and percents. In this algebra lesson, students examine the relationship between fractions and percents and between decimals and percents. They convert between percents, decimals and...
Curated OER
Shots, Standings, and Shopping
Rates and ratios can easily be applied to real-world situations. Learners explore a series of websites in order to procure comparable data. They define ratios and rates, view videos, and use the internet to explore how ratios and rates...
San Francisco Symphony
The 20% of Beethoven
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....
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...
Balanced Assessment
Smaller, Larger, In-Between
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...
Curated OER
Penny
Students explore the concept of equivalency. In this equivalents instructional activity, students use pennies to show equivalency as they divide them into groups. Students also convert the pencils into decimals and fractions.
Curated OER
Bits and Pieces I
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...
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