Illustrative Mathematics
Comparing Two Different Pizzas
What better way to learn about fractions than with a couple pizzas? Help Jessica figure out how much of the pizza she has eaten, while teaching your class that fractions refer to a specific whole amount. This problem will be challenging...
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
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,...
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...
Education Development Center
Adding Fractions with Unlike Denominators
If the fractions don't have a common denominator, make them have one. Learners first read and analyze a conversation of pupils trying to add 2/5 and 1/2. They compare the process of adding fractions to the process of adding quantities...
EngageNY
Decimal Expansions of Fractions, Part 1
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...
Illustrative Mathematics
Who is the Tallest?
A simple question, with a not-so-simple answer. Working with whole and mixed number measurements in inches, feet, and yards presents a problem with many possible solutions. A great activity that challenges the minds of young...
Curated OER
Finding Fractions
Students identify and solve problems using fractions. In this algebra lesson, students compare fractions and simplify with 80% accuracy. They manipulate fraction on the smart board through simplification.
Curated OER
Comparing a Number and a Product
Mental math strategies are important for fifth graders to be able to determine the greater sum without actually solving the equations. As a summative assessment, this eight-problem activity can give insight into the understanding of the...
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
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.
101 Questions
Square Partitions
Challenge your classes while developing their problem-solving skills. A square is divided neatly into four equal triangles by its diagonals until one diagonal is moved from a vertex to the midpoint of one side. Now, scholars must devise...
Illustrative Mathematics
Making Cookies
Hooray for chocolate chip cookies! Ask your mathematicians to triple a chocolate chip cookie recipe and then reduce the recipe by one-fourth. Your class may need two days to complete, tripling the recipe the first day and reducing the...
Illustrative Mathematics
Comparing Products
How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...
Pennsylvania Department of Education
Fractions of a Set
Students explore number sense by completing a number set worksheet. In this fractions lesson, students utilize pattern blocks as a visual reference to the fractions they practice identifying. Students read the book Clean-Sweep Campers...
Curated OER
Using Tiles to Solve Word Problems
Students solve problems using equations. In this algebra lesson, students identify the correct symbols and steps when solving word problems. They graph their lines and analyze the slope using tiles.
Curated OER
Fractions, Decimal, Percent Relationships.
Learners solve problems involving fractions, decimals and percents. For this algebra lesson, students examine the relationship between fractions and percents and between decimals and percents. They convert between percents, decimals and...
Curated OER
Filling the Glass (Water, Air, and Fractions)
Learners predict which of two glasses is 1/2 full using visual estimation, height measurement, and liquid measurement methods. Mathematical equations to accurately solve the problem are determined and verified.
Curated OER
Probability using M & M's
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...
Curated OER
Internet Field Trip on Fractions and Geometry
Students take an Internet field trip to research fractions. ESOL strategies include using pattern block manipulatives and pairing ESOL and non-ESOL students on computers.
Curated OER
The Number Line
Learners graph and order numbers using a number line. They also solve word problems using fractions and decimals and rewrite equations to solve problems correctly. Several example word problems are given.
Illustrative Mathematics
Jog-A-Thon
Adding fractions with unlike denominators can be cloudy, but attaching the fractions to real-life math can add to fraction number sense. Alex needed to run only a mile, will completing the training in two segments satisfy this...
Curated OER
Finding Equivalent Forms For Positive Rational Numbers
Learners discuss the relationship between and the equivalent forms of rational numbers. They will convert numbers from decimals to fractions, understanding they are equivalent, but just different forms.
Curated OER
Finding Common Denominators to Subtract
Subtracting fractions with unlike denominators can be overwhelming, but in this task, 5th graders work systematically to break down the procedure through three questions. The first two questions ask for pictures to be drawn along...