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...
Illustrative Mathematics
Comparing Temperatures
Which is colder -12 or -18? Temperature is natural real-world application of ordering rational numbers. It's also fun to talk about the lowest recorded temperature on Earth. Take the time to discuss this inquiry with your class.
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
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.
Curated OER
Cartesian Coordinates
Students investigate rational numbers through data analysis and statistics. In this algebra lesson, students represent, rename, compare and order rational numbers. They collect and represent data correctly on a graph.
Alabama Learning Exchange
The World of Integers
Review operations related to rational numbers and integers using the include PowerPoint presentation, "Interesting Integers." Young mathematicians classify rational numbers as being natural, whole, or integers and read an article about...
Curated OER
Numbers, Numbers Everywhere!
Explore properties of integers! For this algebra lesson, pupils add, subtract, divide and multiply using integers correctly. They differentiate between rational and irrational numbers.
Illustrative Mathematics
Chicken and Steak, Variation 2
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
Illustrative Mathematics
Egyptian Fractions II
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
Curated OER
Mathematics: Prime and Composite Numbers
Sixth graders explore how to apply the commutative property and the rules of divisibility. They examine the difference between prime and composite numbers.
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...
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
Curated OER
Basketball
Tap into the competitive nature of teenagers as your class practices setting up and solving rational equations. This activity starts with a specific ratio of games won to games played, then asks how many more games must be played to...
Curated OER
Tower of Hanoi Lesson Plan
Students investigate the Legend of the Tower of Hanoi and complete mathematical problems related to the legend. They play the Tower of Hanoi game online in order to discover the number pattern involved. They solve problems using the...
Curated OER
Coordinates
Students identify and label the coordinate planes by the four different quadrants. In this geometry lesson, students plot an ordered pair correctly. They identify and differentiate between rational and irrational numbers.
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...
Curated OER
Interesting Integers and Exciting Equations
An 80-page resource provides four lessons and all associated worksheets to teach middle schoolers about expressions and equations. The lessons are hands-on, using games, "integer chips," a balance and cubes, and cut and paste activities....
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a scatter...
Curated OER
Louisville's Best Field Day Park
Students create a survey to hand out to determine the best field day park. Using their local area, they select five parks, if possible, that meet the criteria and calculate the distance and estimated time travel. They use this...
Curated OER
Counting on Frank
Eighth graders read a book "Counting on Frank" with a partner. Using the text, they identify eight clues and use their mathematical reasoning in real-life situations. They participate in a game and turn in a notebook in which they write...
Illustrative Mathematics
Dan’s Division Strategy
Can Dan make a conjecture about dividing fractions with the same denominators? That is what your scholars are to determine. They must show that if the statement is true, they understand how the quantities were determined, and how the...
Bowland
AstroZoo
Rescue animals in the zoo by applying math concepts. Groups of learners solve three missions involving oxygen, food, and climate control. Each group selects an animal from one of four bio-domes.
Curated OER
Linear Systems
Students solve and graph linear equations. For this algebra lesson, students solve systems of equations using elimination and substitution. They graph their answer and identify the point of intersection.
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 2)
What do you do with a difficult-to-factor quadratic expression? This lesson provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works every time"...