Illustrative Mathematics
Area of a Trapezoid
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
Illustrative Mathematics
Running Around a Track I
The accuracy required by the design and measurement of an Olympic running track will surprise track stars and couch potatoes alike. Given a short introduction, the class then scaffolds into a detailed analysis of the exact nature of the...
Corbett Maths
The Range
Spread the data out on the range. The short video provides a definition of the range. Using a data set of five numbers, the resource calculates the range.
Teach Engineering
A Good Foundation
It takes a strong foundation to build a house and a stronger one for a bridge. This resource presents the effects of geology and soil on bridge foundations. Working in groups, the class investigates the interaction of shallow and deep...
Curated OER
Fractions in Action
Investigate equivalent fractions with your class. They compare and order fractions. Then they work cooperatively in groups to experiment and problem solve with fractions using a game format. Multiple resources are provided.
EngageNY
Using Trigonometry to Determine Area
What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...
Big Kid Science
Measuring Shadows Using an Ancient Method
How did ancient peoples determine the height of really tall objects? Young scientists and mathematicians explore the concept of using shadows to measure height in a hands-on experiment. Paired pupils measure shadows, then calculate the...
Balanced Assessment
Marbles in a Glass
Allow learners to design their own strategies to solve a problem. Given dimensions of a glass and a smaller marble, scholars must find the dimensions of a larger marble. The answer key suggests using the Pythagorean Theorem, but multiple...
EngageNY
Why Are Vectors Useful? 1
How do vectors help make problem solving more efficient? Math scholars use vectors to represent different phenomenon and calculate resultant vectors to answer questions. Problems vary from modeling airplane motion to the path of a...
Messenger Education
Give Me a Boost—How Gravity Assists Aid Space Exploration
The propellant needed for space explorations runs in the thousands, while paying to get the craft into orbit costs millions! In the second installment of three, two activities explore laws of conservation of energy and momentum. Using...
EngageNY
The Slope of a Non-Vertical Line
This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...
EngageNY
Estimating a Population Proportion
Find the percent of middle schoolers who want the ability to freeze time. The 21st installment in a series of 25 has groups collect a random sample of respondents who answer a question about superpowers. Using sample statistics,...
EngageNY
Using Sample Data to Compare the Means of Two or More Populations
Determine whether there is a difference between two grades. Teams generate random samples of two grade levels of individuals. Groups use the mean absolute deviation to determine whether there is a meaningful difference between the...
Alabama Learning Exchange
Triangle Area: No Height? Use the Sine
No height? No problem! Learners use their knowledge and a little help from GeoGebra to develop the Law of Sines formula. The Law of Sines helps to determine the height of triangles to calculate the area.
Concord Consortium
Smart Money
Watch the money grow daily. Scholars tackle a problem to determine how much money they will have if a dollar grows at 10 percent compounded daily after a month. Using that knowledge, learners notice the difference between varying savings...
Teach Engineering
Designing a Spectroscopy Mission
For this mind-bending activity, young engineers explore this question of whether or not light actually bends. Using holographic diffraction gratings, groups design and build a spectrograph. The groups then move on research a problem...
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.
EngageNY
Creating and Solving Quadratic Equations in One Variable
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
McGraw Hill
Adding and Subtracting Mixed Numbers
Adding and subtracting mixed numbers will be a breeze with this guided worksheet packet. Learners work through examples outlining each step including rewriting mixed numbers as improper fractions, adding numerators, and rewriting the sum...
Illustrative Mathematics
How Many Leaves on a Tree?
This is great go-to activity for those spring or fall days when the weather beckons your geometry class outside. Learners start with a small tree, devising strategies to accurately estimate the leaf count. They must then tackle the...
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
WindWise Education
How Does a Windmill Work?
Can my windmill pick up a weight? Given the same set of materials, groups design and build the most efficient windmill. On the first day, groups concentrate on getting a windmill to spin, while on the second day, they modify their...
American Statistical Association
How Long Are the Words in the Gettysburg Address?
It's 268 words, but one only needs to consider 10 of them at a time. A data collection and analysis activity has learners investigate the lengths of words in the Gettysburg Address. They first self-select a sample of 10 words and...
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