Mascil Project
Teaching Geometry Through Play
Puzzle your way through to a new understanding of area. Scholars learn about the area of polygons through equidecomposability, the idea that polygons that can be decomposed into the same set of pieces have the same area. By using...
Mathematics Vision Project
Module 6: Connecting Algebra and Geometry
A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...
Mathematics Vision Project
Module 2: Logarithmic Functions
You can't build a fire with these logs! Filled with hands-on investigations, a complete logarithmic unit offers both instruction and practice. Learners first build an understanding of the new function, then explore properties before...
College Board
Power in Tests of Significance
Test your knowledge of tests of significance. A curriculum model for AP® Statistics describes and defines power in terms of tests of significance. It also provides two classroom activities designed to investigate power and how it relates...
College Board
Beginning the Year with Local Linearity
Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...
Radford University
Buying A Car
What is my monthly payment? Scholars research to find the perfect car for them to buy. Using the cost of the car, they determine a down payment and the amount of monthly payments using a zero interest loan. Finally, they investigate what...
Radford University
Money and Finance
Make the connection between money and exponential equations. Pupils continue financial lessons as they learn about compound interest in savings accounts. They extend the investigation of savings by looking at annuities, and then...
Radford University
Environmental Issues
Pupils investigate the air pollution situation in China by fitting a curve to historical data. They dig deeper into environmental issues that are of interest and provide a mathematical analysis of the issue. Class members develop a route...
Radford University
Right Triangle Applications: Lesson 3
Find the connection between trigonometry and tornadoes. Pairs investigate a tornado in Joplin, Mo., and use trigonometry to find its size. The pupils determine the path of the tornado and find the distance needed to travel to help...
Radford University
Ramp It Up
Pupils gather measurements of real-world objects that have slopes. They then plot the measurements and find an equation of a line that fits the measurements. Finally, groups investigate the ADA and determine whether different ramps meet...
Radford University
Got Slope?
Go around and around with slope. The class investigates tornadoes by watching videos, building a homemade tornado, and performing research on the Storm Prediction Center website. Groups gather data and create scatter plots for twisters...
Radford University
Government Spending
Spend some time with lines of best fit. An informative unit has learners investigate government spending. They research data on poverty, educational spending, social security, and defense spending, and then analyze lines of best fit for...
Radford University
Mathematical Modeling: Lessons 2-3
Not all functions are created equal. Pupils apply regression analysis using polynomial, exponential, and logarithmic functions to investigate the relationship between variables and to decide which function would be best to model the...
Radford University
Transformational Graphing in the Real World: Air Traffic Control
You're cleared to learn about absolute value functions. An interesting lesson has scholars investigate transformations of the graphs of absolute value functions. They look at air traffic control as an application of the concept.
Radford University
Big Future - How SAT Scores Play a Role in College Acceptance
Understanding the importance of SAT scores is as easy as ABC. A set of three statistics lessons teaches scholars about normal distributions, the Empirical Rule, and z-scores. They apply their newfound knowledge to investigate data...
Radford University
Fibonacci is All Around
One ratio to rule them all. Young mathematicians investigate the Fibonacci sequence and the Golden Ratio. To begin the first lesson, they use a spreadsheet to see how the Fibonacci sequence gives the Golden Ratio. The second lesson...
Radford University
Are You Faster than Bacteria?
Just how fast does bacteria grow? Over the course of three lessons, pupils investigate exponential growth with the use of bacteria growth. During the lesson, bacteria from a cell phone is grown to make a connection to real life. Using...
Radford University
Triangular Irrigation
Try to keep the pipe short. Learners investigate where to place a water pump to use the least amount of pipe. Scholars use their knowledge of reflections and congruent triangles to find the best location for the water pump. Finally, they...
Radford University
Fun with Solids
Geometry is all around us—if we're only willing to look. The final three activities of the Fun with Solids unit continue work on surface area and volume. For lesson three, scholars investigate the formulas for spheres and solve a problem...
Radford University
Real Life Parallels
There's no parallel to a great resource. Scholars take part in three lessons in which they investigate parallel lines in real-world situations. They search for and take pictures of parallel lines in and around the school, develop artwork...
Radford University
Parallel Lines Cut By a Transversal
Perhaps planning a city isn't so difficult after all. Scholars first perform geometric constructions and investigate how parallel lines are useful in real-world situations. They then work on a city design project, drawing street maps,...
Radford University
Your School’s Athletic Director Needs Your Mathematical Input!
Cover the field. Pairs investigate two different rolls of astroturf to cover a football field. The learners determine which type of roll is the most cost effective. Scholars write letters to the athletic director explaining their...
Radford University
Trouble in the Orchard
It's no fun catching a fungus. Scholars first investigate how the seasons affect the angle of the sun and the lengths of shadows. They then apply right triangle trigonometry to determine the height of trees based on their shadows to...
Radford University
Pirate Attack
Arr ye matey, it's time for some trig. Learners first read up on the 2010 attack on the USS Nicholas by a group of pirates and the testimony of one of the witnesses. They use right triangle trigonometry to determine if the account is...