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.
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...
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;...
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...
Curated OER
Counting with Base - Ten Models
Help your kids develop strategies for counting. In this base-ten lesson, learners use matching cards, base 10 blocks, and dry erase markers and boards to examine the base 10 counting system.
PBS
Adding Integers
Your sixth and seventh graders deepen their understanding of a number line and adding integers in this concrete, hands-on activity. Learners play "Warehouse Puzzle" and then discuss their game strategies and the characteristics...
Illustrative Mathematics
Half of a Recipe
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....
Curated OER
"Pizza"rama With Fractions!!
Young mathematicians explore number values by utilizing food as a visual aide. They discuss the differences between halves, fourths, and eighths and how they are visually represented by a pizza. Then create their own pizza in class and...
Curated OER
Call it "Macaroni"
Who knew there were so many fun educational opportunities featuring pasta? Scholars read a brief informational text about the history of pasta (note that "macaroni" is spelled two different ways, so address this if kids are reading...
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
The True Value of Sweets
Measure your pupil's learning in a lesson designed to explore decimals by weighing different candies on a scale and recording the weight. Small groups then compare and order the decimal weights on a number line to show their...
Curated OER
Number Sense
Students convert between decimals and fractions. For this algebra lesson, students show their knowledge of numbers by putting them on a number line. They apply the concept of algebra to solving word problems. Students will use a Ti...
Rochester Institute of Technology
Skateboard Assembly - Line Balance
Utilize the lesson on utilization. The second installment of a nine-part technology/engineering series teaches scholars about the flow of a balanced assembly line and the definition of utilization. Videos, activities, and simulations...
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,...
Bowland
Outbreak: Infection Detection
Explore the mathematics of infection outbreaks with activities that ask learners to use coordinate grids to locate infected patients. They calculate amounts of ingredients for antidotes and determine which groups of people should be...
Math Stars
Math Stars: a Problem-Solving Newsletter Grade 7
Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...
Curated OER
Fraction City
Welcome to Fraction City! This is an incredibly interactive and fun way to teach properties of fractions, and reaches multiple learning styles. Scholars create "blocks" by folding strips of paper in various increments (thirds, fourths,...
Noyce Foundation
Fractured Numbers
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
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...
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.
Illustrative Mathematics
Cynthia's Perfect Punch
Using a real-world example, this problem illustrates the thought process that learners need to engage in to understand adding mixed numbers with common denominators. First by looking at estimation, and then by drawing models that...
Project Maths
Introduction to e
First there was pi and now there's e. A discovery-based lesson helps learners find a pattern in compound interest as the compounding period changes. Their investigation results in the discovery of the number e. The lesson is the first in...
Curated OER
Drinking Juice
Pictures, number lines, decimal equivalents, or Cuisenaire rods can be used to show insight into the meaning of multiplying fractions.Here, Alisa drinks 3/4 of 1/2 liter of juice. To find the total volume of the juice that Alisa...
Curated OER
Folding strips of paper
Fifth graders need concrete experiences to introduce a unit on multiplying fractions by fractions. A strip of paper is used to create a number line and represent 5/6. It is folded first in half, and then in quarters. After unfolding,...