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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...
Illustrative Mathematics
Fractions and Rectangles
Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, young scholars first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
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...
Curated OER
Exploring Equivalent Fractions
An extensive lesson explores equivalent fractions and is intended for three 60-minute periods. Young mathematicians compare and order fractions with like and unlike denominators. Included are worksheets, assessments, and answer sheets;...
Curated OER
Jon and Charlie's Run
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
Illustrative Mathematics
Jim and Jesse's Money
Jim and Jesse started their road trip with the same amount of money. Your class must find the amount of money each one had given, the amount of money spent, and the ratio of money at the end. This is a comprehensive problem that...
EngageNY
Finite and Infinite Decimals
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson plan of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
EngageNY
Multiplying and Dividing Rational Expressions
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions.
Education Development Center
Logic of Fractions
Before diving into operations with fractions, learners discover the foundation of fractions and how they interact with one another. Exactly as the title says, logic of fractions is the main goal of a resource that shows pupils how...
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...
Curated OER
Snow Day
It's a snow day, and two brothers attending schools with different schedules each got a late start to the day. But who had the shorter school day? That's what your class will find out as they apply their knowledge of fractions to this...
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...
Illustrative Mathematics
Ratio of Boys to Girls
How many boys are in the class? Here is an introductory exercise describing ratios. The commentary shows different ways learners can approach the problem, using a tape diagram of boys to girls and using a table. The activity includes...
EngageNY
Adding and Subtracting Rational Expressions
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
Illustrative Mathematics
Running to School, Variation 2
Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...
Education Development Center
Anita's Way to Add Fractions with Unlike Denominators
Could you develop your own way to add fractions with unlike denominators? An in-depth task has scholars examine a fictional conversation between several people in which they discuss a method of adding fractions with unlike denominators....
NTTI
Hey Good Lookin', Whatchya Got Cookin'?
What better way to explore working with fractions then by using them when cooking? In this lesson, students use video, the Internet, and real world, hands-on learning activities to enhance their understanding of multiplying and dividing...
Curated OER
Fractions
Students identify fraction terminology. Using the book, Eating Fractions, as a guide, students list the foods shared in the book. They experiment with string and Fruit by the Foot candy to increase their knowledge of equal fractions....
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
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...
Curated OER
Ornithology and Real World Science
Double click that mouse because you just found an amazing lesson! This cross-curricular Ornithology lesson incorporates literature, writing, reading informational text, data collection, scientific inquiry, Internet research, art, and...
Curated OER
Penny
Students explore the concept of equivalency. For this equivalents lesson, students use pennies to show equivalency as they divide them into groups. Students also convert the pencils into decimals and fractions.
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.