Mathematics Vision Project
Module 4: Rational Functions
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Education Development Center
Word Problem with Rational Numbers—Balancing Bars of Soap
Here's a resource teachers won't want to wash their hands of. Given a task where a full bar of soap is on one side of a balance and 3/4 of a bar of soup and a 3/4-ounce weight is on the other side, young mathematicians must determine the...
Curated OER
Rational Expressions: Simplifying
This two-day instructional activity will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The instructional activity contains powerpoint presentations,...
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.
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 reinforce...
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.
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Curated OER
Discovering Math: Rational Number Concepts
Students explore the concept of Egyptian contributions in mathematics. In this Egyptian contribution activity, students research Egyptian hieroglyphics and pyramids. Students write numerals in hieroglyphics. Students use Egyptian...
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.
Pennsylvania Department of Education
Adding and Subtracting Rational Numbers to Solve Problems
Students explore the concept of probability. In this probability lesson, students use area to determine probability. Students use charts and spinners to help determine the probability of events such as flipping a coin or rolling a...
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...
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...
Curated OER
Is That Your Final Answer?
This unit on integers includes a pre-test, a post-test, four spreadsheets, and links to an interactive web-site to support the learning of integer operations. Access to computers and the Internet are imperative to this unit. The lessons...
Curated OER
Summer Intern
Your young apprentices build a function describing the percent concentration of salt in a brine. The rational function is then related to the parent function, y= 1/x, and graphed. Finally, the apprentices predict the amount of fresh...
EngageNY
Exponential Notation
Exponentially increase your pupils' understanding of exponents with an activity that asks them to explore the meaning of exponential notation. Scholars learn how to use exponential notation and understand its necessity. They use negative...
Curated OER
Square Roots
Students differentiate between perfect roots and rational roots. In this algebra lesson, students perform operation using roots. They add, subtract, multiply and divide rational expressions.
Virginia Department of Education
Factoring
Uncover the relationship between factoring quadratics and higher degree polynomials. Learners develop their factoring skills through repetition. A comprehensive lesson plan begins with quadratics and shows how to use the same patterns to...
Curated OER
Square Roots and Exponents
Eleventh graders solve problems with roots and exponents. In this algebra instructional activity, 11th graders use the properties of powers to help them multiply, add, subtract and divide exponential functions. They take the square root...
Curated OER
Special Right Triangles
Students identify the different parts of a right triangle. In this geometry lesson, students use the Pythagorean Theorem to identify missing sides and angles of a right triangle. They work with irrational and rational roots.
Achieve
Corn and Oats
How much land does a parcel hold? How much fertilizer does it take for a field of corn? Pupils answer these questions and more as they apply ratio reasoning and unit analysis.
Achieve
Yogurt Packaging
Food companies understand how to use math to their advantage. Learners explore the math related to the packaging and serving size of yogurt. They then use unit analysis and percent values to make decisions on the product development.
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...
Achieve
Framing a House
If members of your class wonder where they can use the math they learn in middle school, let them discover the answer. Learners apply geometry concepts of scale and measure to calculate the costs of framing a house addition.
Curated OER
What is the Value of the Car?
Students practice determining the value of cars. Using the internet, they complete a worksheet in which they list the make of each car and use the data to determine the value. They share their results with the class and identify the most...