Curated OER
Point-Slope Form of a Line
This activity helps young mathematicians connect the graph and the point-slope form of a line, by first solving a real-world problem and then using that example to motivate the understanding of the equation. By manipulating the gizmo,...
Illustrative Mathematics
Cari's Aquarium
The volume of a fish tank is a rather important measure when it comes to building an aquarium for different species of fish. In this problem, your kids look at how many different ways they can make a fish tank of a specific volume, then...
Illustrative Mathematics
Writing Constraints
Use this resource to present your number crunchers with how to write a constraint equation and to determine viable solutions. The price of an object limits the amount that can be purchased. The speed at which you walk limits the number...
EngageNY
Counting Rules—Combinations
Discover how combinations are different from permutations. In the third installment of a 21-part module, scholars learn how to determine combinations of objects. They learn to distinguish between situations where order is important and...
5280 Math
Triangle Area Patterns
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that helps...
Concord Consortium
City of New Orleans
In the United States, most trains operate at a top speed of 100 miles per hour. Scholars use information on the distance and time of a train trip to determine if the train ever reaches a specific speed. They connect pieces of information...
Concord Consortium
Sharp-Ness of Bends
Define the sharpest in the group. Given a section of a trail map, pupils determine a method to measure the sharpness of each turn in the path. Individuals then determine what modifications to their formulas to make to find the sharpness...
Curated OER
The Random Walk
Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on their...
CPM
Direct, Joint, and Inverse Variation
Here is a quick guide to direct, joint, and inverse variation used in realistic situations. Each topic has a page of notes and examples followed by practice problems. The resource explains each type of variation and provides their...
Curated OER
Temperature Conversions
Your young weather buffs use compositions and inverses of functions to convert between Celsius, Fahrenheit, and Kelvin degrees. Then they analyze possible compositions and whether they exist in the real-life context.
Discovery Education
Sonar & Echolocation
A well-designed, comprehensive, and attractive slide show supports direct instruction on how sonar and echolocation work. Contained within the slides are links to interactive websites and instructions for using apps on a mobile device to...
University of Wisconsin
Measuring Slope for Rain Gardens
The slope of the land is an important feature when considering the erosion that will occur. In this resource, which is part of a rain garden unit, learners calculate the slope of the proposed garden site. Even if you are not planning a...
Teach Engineering
Exploring Energy: What Is Energy?
...Then the water heater exploded like a bomb. Using a video of an exploding water heater, the resource presents the definitions of energy, potential energy, and kinetic energy to be used in later lessons of the unit.
Curated OER
Volume of a Cylinder
Middle and high schoolers calculate the volume of cylinders. They measure the height, radius and diameter of cylinders. Following given formulas, students calculate the area and volume of the cylinder. They compare cylinders and predict...
Curated OER
Arithmetic Sequences
Find the sequence of an equation with your math super stars. They differentiate between arithmetic and geometric sequences and then calculate the sum of finite and infinite sequences.
Curated OER
Fish Tanks: Volume and Surface Area
Given a very realistic challenge, your young geometers design residential fish tanks in rectangular and triangular prism shapes. They compute the volume of water each will hold. They also determine the size of plastic covers for each...
Curated OER
The Integration of Exponential Functions
In this calculus worksheet, learners solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Curated OER
Introduction to Limits
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
Curated OER
Developing the Concept: Percents
In this percents lesson, learners review how to solve a multiplication equation where they must solve for a variable. They solve equations with missing numbers and percents.
Curated OER
Fill 'Er Up
Students identify how many smaller units can be found in a later unit. In this geometry activity, students calculate the volume and the transfer amount to a smaller unit. They solve real life problems using the formula for volume.
Curated OER
Worksheet 19-Spring 1996
In this math worksheet, students begin with the Maclaurin series and prove De Moivre's Theorem. They use the De Moivre Theorem to solve four problems. Students apply these theorems to explain why a flock of geese will fly in an uneven...
Curated OER
The Method of Integration by Parts
In this calculus worksheet, students perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.
Pennsylvania Department of Education
Euler's Formula
Young scholars explore geometry by defining a list of vocabulary terms. In this shape characteristics lesson, students identify a number of different shapes and discuss the amount of edges, vertices, and faces using the Euler formula....
Curated OER
Take Your Medicine 2
Real-world application of the finite geometric series. Sick? Need to take Ampicillin? How much is in the body at any given point in time as this medication is taken over the course of time. Use the formulas, make calculation, and graph...